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Carbon disclosure, carbon performance, and cost of capital

Carbon disclosure, carbon performance, and cost of capital China Journal of Accounting Studies, 2013 Vol. 1, Nos. 3–4, 190–220, http://dx.doi.org/10.1080/21697221.2014.855976 a b a Yu He *, Qingliang Tang and Kaitian Wang a b School of Accounting, Nanjing University of Finance and Economics, China; School of Business, University of Western Sydney, Australia More and more firms are voluntarily disclosing carbon information as a response to the challenge of climate change. This research investigated the interactions among carbon disclosure, carbon performance, and the cost of capital. Because unobservable overall strategic decisions by management affect each of these outcomes and phenomena, we used a simultaneous equations model to analyse our data. We used data from S&P 500 firms that participated in the Carbon Disclosure Project (CDP) in 2010. We found that the cost of capital is negatively associated with carbon disclosure, which is consistent with voluntary disclosure theory. This relationship is weaker for firms with good carbon performance. In addition, there is an inverse relationship between carbon disclosure and carbon performance, which is consistent with legitimacy theory. Our results suggest that voluntary carbon disclosure is a rational choice that firms make to reduce the pressure exerted by legitimacy threats and to lower the cost of capital. Keywords: carbon disclosure; carbon performance; cost of capital; simultaneous equations 1. Introduction Corporate responses to climate change have shifted dramatically over the past two decades (Kolk, Levy, & Pinkse, 2008). Until the mid-1990s, North American firms seldom talked about the topic. Nevertheless, a few firms in sectors related to fossil fuels perceived the prospect of regulations of greenhouse gas (GHG) emissions as a substan- tial threat. New industry groups were created, such as the Global Climate Coalition and the Climate Council, which spared no effort in preventing the international community from imposing caps on GHG emissions and played a major role in preventing the United States from joining the Kyoto Protocol (Kolk et al., 2008; Levy & Egan, 2003). However, more recently, business has tended to converge on a more constructive stance that views climate change as an opportunity rather than a burden (Margolick & Russell, 2004). Financial markets have started to reward companies that are moving ahead on climate change, while those lagging behind are assigned more risk (Cogan, 2006; Kolk et al., 2008). Investors and environmental non-governmental organizations (NGOs) are pushing companies to disclose information related to their GHG emissions, since carbon disclosure provides information that is crucial to an accurate valuation of assets. NGOs can also use the information to pressure firms into improving carbon performance (O’Dwyer, 2005). Several initiatives have emerged that attempt to leverage the influence of institutional investors to create demand for carbon disclosure as an *Corresponding author. Email: yu.he@njue.edu.cn Paper accepted by Kangtao Ye. © 2013 Accounting Society of China China Journal of Accounting Studies 191 adjunct to conventional financial systems. One of the most prominent is the Carbon Disclosure Project (CDP). CDP is an independent and not-for-profit organization based in the United King- dom that addresses the climate change concerns of institutional investors (Tran, Oka- for, & Herremans, 2011). The CDP represents 534 institutional investors with more than US$64 trillion in assets under management, and it can be seen as a secondary stakeholder that has facilitated collaborative engagement to increase corporate account- ability in relation to climate change (Arenas, Lozano, & Albareda, 2009). By means of a standard questionnaire, the CDP collects climate change data on GHG emissions, carbon risks and opportunities, and the actions that companies are taking to reduce emissions. In 2010, CDP sent this questionnaire to more than 4700 of the world’s larg- est corporations, including S&P 500 firms. Some 70% (350) of S&P 500 firms partici- pated in the CDP in 2010, an increase from 66% (332) in 2009, 63% (314) in 2008, and 56% (280) in 2007 (PwC & CDP, 2010). Overall, this activity sends an important message to investors from companies that climate change is an important business concern. However, the rapid increase in participation in the CDP naturally raises ques- tions among researchers: what are the rationales behind this type of voluntary carbon disclosure? What benefits do firms gain by spending resources on compiling and pub- lishing these standalone reports? A number of factors potentially provide answers to these questions, such as the pressure on businesses to establish and comply with environmental and social norms and standards (Cormier, Magnan, & Van Velthoven, 2005). In this research, we examined whether carbon disclosure is associated with a reduction in the cost of capital. The cost of capital is a critical issue in a firm’s financing and general oper- ating decisions (Dhaliwal, Li, Tsang, & Yang, 2011). Corporate executives appear to believe that voluntary disclosure can reduce the cost of capital (Graham, harvey, & Rajgopal, 2005), and there is a long-standing interest among academics in the rela- tionship between disclosure and the cost of capital (Botosan, 1997; Botosan & Plumlee, 2002; Dhaliwal et al., 2011; Diamond & Verrecchia, 1991; Francis, Nanda, & Olsson, 2008; Leuz & Verrecchia, 2000; Richardson & Welker, 2001). While these investigations have advanced our knowledge, no study has yet attempted to examine carbon disclosure, carbon performance, and the cost of capital within a sin- gle inclusive model. Ullmann (1985) posited that management implements policies and decisions that simultaneously affect the firm’s environmental disclosure, environ- mental performance, and economic performance. Al-Tuwaijri, Christensen, and Hughes (2004) argued that if these corporate functions are endogenously determined, then piecemeal ordinary least squares (OLS) estimation of pairwise relationships among these three functions will produce biased and inconsistent results. They per- formed a Hausman (1978) test and rejected their null hypothesis of no endogeneity among these three variables. Thus, we investigated collectively the relationships among carbon disclosure, car- bon performance, and the cost of capital. We employed a sample of US S&P 500 cor- porations that present their CDP reports on the CDP website. Our analyses showed that the cost of capital is significantly and negatively associated with carbon disclosure. However, the negative relationship resides largely in firms with poor carbon perfor- mance. In addition, we documented a negative relationship between prior disclosure and contemporaneous emission reduction, suggesting that poor carbon performers tend to present (rather than withhold) carbon information in advance in attempts to mitigate any future negative impacts on the market. Overall, we observed that a potential reduc- 192 He et al. tion in the cost of capital motivates firms to present CDP reports, and this is related to a firm’s long-term development strategies and performance sustainability. This study is the first to use an innovative approach to examine the relationships among carbon disclosure, carbon performance, and the cost of capital. Here, we extend the traditional research on voluntary disclosure from the narrow focus of financial disclosure to nonfinancial disclosure, i.e. carbon disclosure. This research has made the following specific contributions. First, we focused on carbon disclo- sure and performance rather than social responsibility (Dhaliwal et al., 2011)or environmental reporting (Plumlee, Brown, & Marshall, 2008). Carbon study is a new area of research, and our findings on carbon disclosure and performance are different from findings on environmental disclosure. For example, we showed that carbon disclosure is broader than environmental disclosure. Carbon risks are more pervasive; firms must adopt a more comprehensive strategy and actions to deal with climate change. All firms emit carbon, while many firms do not have environmental issues. In addition, most environmental disclosure is nondiscretionary, for example, toxic emissions and chemical waste, whereas carbon disclosure is largely voluntary. For all these reasons, the nature of the relationship between carbon information and market reactions may be different from that documented in prior studies. Second, the measure of carbon performance used in our study was innovative compared with previous studies. Our measurement was more comprehensive than other environmen- tal performance measures, since we used sector- and firm-specific data such as waste, toxic chemical emissions, etc. Third, our data were taken from the CDP reports, rather than from environmental information included in annual reports, which are often biased by self-selection (Tang & Luo, 2013). CDP reports are designed by an NGO, and its format and contents are accepted and adopted by more than 4000 large global firms. Such information is relatively more consistent (Luo, Lan, & Tang, 2012). Fourth, this research introduced an empirical proxy for carbon disclosure. In contrast to prior studies, which often used self-constructed indices (Plumlee et al., 2008) or indicator variables (e.g. whether or not a report was published) (Dhaliwal et al., 2011), we used the carbon disclosure score index from the CDP, which has been widely presented on many financial websites (e.g., http://www.google.com/finance#). This index is more comprehensive than others and covers many aspects of relevant information, such as carbon governance mecha- nisms, carbon risks and opportunities, carbon strategy and targets, carbon actions and processes, carbon emissions and reporting, carbon emission trading and offset- ting, carbon communications and engagement, and more (Tang & Luo, 2013; Luo et al., 2012). Finally, our methodologies differed from previous carbon accounting research. We conducted a joint estimation using three-stage least squares (3SLS) simultaneous equations models to deal with endogeneity. In addition, carbon disclo- sure and performance are the focus of legislation that is either proposed or has been implemented by many governments and rule makers. For example, carbon account- ing standards, external assurance/verification, carbon disclosure, and carbon reporting are all subject to future regulations. Thus, our results are potentially useful for capi- tal market participants and government bodies who are concerned about climate change-related issues and activities. The remainder of this paper proceeds as follows: Section 2 develops our hypothe- ses, Section 3 describes our sample and methodology, Section 4 presents the empirical results, and the final section summarizes and concludes. China Journal of Accounting Studies 193 2. Literature review and hypotheses development The existing literature in environmental accounting research can be categorized into three broad groups (Clarkson, Li, Richardson, & Vasvari, 2008). The first group found that environmental disclosure is relevant to firm valuation, the second investigated the determinants of discretionary environmental disclosure, and the third line of studies observed mixed results regarding the relationship between environmental disclosure and environmental performance. 2.1. The relationship between carbon disclosure and the cost of capital The consensus in the literature appears to be that a negative relationship exists between the quality of financial disclosure and the cost of capital (Botosan, 1997; Core, 2001; Diamond & Verrecchia, 1991; Healy & Palepu, 2001; Leuz & Wysocki, 2008). Greater financial disclosure increases investors’ awareness of a firm’s exis- tence and enlarges its investor base, which improves risk-sharing and reduces the cost of capital (Merton, 1987). In addition, expanded disclosure can narrow informa- tion asymmetry among investors or between managers and investors. Some informa- tion-disadvantaged investors are less willing to trade if disclosure is inadequate. The resultant illiquidity increases the bid-ask spread and transaction costs (Verrecchia, 2001), leading to a higher required rate of return or cost of capital (Amihud & Mendelson, 1986). In a traditional capital market setting, Lambert, Leuz, and Ver- recchia (2007) investigated the direct and indirect effects of disclosure quality on the cost of capital. They found that the direct effect occurs because higher-quality disclosures affect the firm’s assessed covariance with other firms’ cash flows, which are non-diversifiable. The direct effect on the cost of capital can be attributed to a reduction in the estimation of information risk (Lambert et al., 2007; Diamond & Verrecchia, 1991; Leuz & Verrecchia, 2000). The indirect effect occurs because higher-quality disclosures affect a firm’s real decisions, which likely changes the firm’s ratio of expected future cash flows to covariance of these cash flows with the sum of all the cash flows in the market. The sign of this indirect effect on the cost of capital is uncertain. Lambert et al. (2007) sought to determine the conditions under which an increase in information quality leads to an unambiguous decline in the cost of capital. They found that the net effect of increased disclosures on the cost of capital is a function of the strength of the relationship and whether the indi- rect effect is positive or negative (as the direct effect is unambiguously negative). These mechanisms can be extended to non-financial disclosure, as long as the information concerned is value relevant (Sinkin, Wright, & Burnett, 2008). Richardson, Welker, and Hutchinson (1999) presented a model for the influence of environmental behaviours and the related disclosures on a firm’s value through net present value assessments of projects, including expected future regulatory costs and market effects. Richardson and Welker (2001) argued that there may be a direct influence of environmen- tal disclosure on the cost of equity capital, either through affecting investor preferences or through reduced information asymmetry or estimation risk. Investor preference effects arise if investors are willing to accept a lower rate of return on investments from an orga- nization that supports an environmental cause for which some investors have an affinity. In addition, carbon disclosures may be seen as a firm’s credible commitment to environ- mental issues in their long-term strategic and production systems (Plumlee et al., 2008). Finally, higher-quality environmental disclosures, which have been linked to increased 194 He et al. environmental activities, may affect regulators’ decisions, thus influencing costs for firms and for their competitors (Decker, 2002; Decker & Pope, 2005; Salop & Scheffman, 1983). Clarkson, Fang, and Li (2011a) investigated the relevance of environmental disclosures and found that voluntary environmental disclosures enhanced firm value. Based on this literature, we tested the following hypothesis (stated in alternative form). H1: There is an inverse relationship between the level of carbon disclosure and the cost of capital. According to legitimacy theory, carbon disclosure is a function of social and political pressures. Firms with poor carbon performance face greater pressures and have greater incentives to disclose environmental information in an attempt to change public perception. Patten (1992) noted that, whereas economic legitimacy is monitored by the market, social legitimacy is monitored by the public policy process. Disclosure is one method available to firms to enhance their legitimacy, and it is often easier to manage the firm’s image than to make actual changes to performance. Therefore, higher polluting firms tend to disclose a greater quantity of information (Clarkson, Overell, & Chapple, 2011c), whereas the level of carbon disclosure by better performing firms is probably lower. This is because these firms face a smaller legitimacy problem, and stakeholders presumably pay less attention to these firms. Thus, investors are probably less sensitive to the carbon disclosure of good performers. Hence, the inverse relation- ship between the level of carbon disclosure and the cost of capital is predicted to be weaker for firms with higher carbon performance. H1a: The inverse relationship between the level of carbon disclosure and the cost of capital is weaker for firms with good carbon performance. 2.2. The relationship between carbon disclosure and carbon performance There are two theories regarding the relationship between carbon disclosure and carbon performance in the literature. The first one is voluntary disclosure theory, which suggests that companies have incentives to disclose ‘good news’ to differentiate themselves from companies with ‘bad news’ to avoid the adverse selection problem (Dye, 1985; Verrecchia, 1983). Bewley and Li (2000) and Li, Richardson, and Thornton (1997) have argued that true environmental performance is not directly observable to investors; thus, companies with superior performance tend to make direct voluntary disclosures that cannot be easily matched by poor performers (Clarkson et al., 2008). Hence, this theory predicts a positive association between environmental performance and the level of discretionary environmental disclosure. The other group of theories is known as legitimacy theories, and this group argues that companies with threatened legitimacy are likely to make self-serving disclosures, referred to as ‘legitimization’ (Adams, 2004; Gray, Kouhy, & Lavers, 1995; Hughes, Anderson, & Golden, 2001). Researchers argue that firms vulnerable to certain types of criticism will make voluntary disclosures to deflect or nullify suspicion or doubt with regard to that area of potential criticism. Those organizations whose social legitimacy is threatened tend to increase disclosures to (1) educate and inform relevant members of the public about (actual) changes in their performance; (2) change perceptions about their performance; (3) deflect attention from the issue of concern by highlighting other accomplishments; and (4) attempt to change public expectations of their performance (Gray et al., 1995; China Journal of Accounting Studies 195 Lindblom, 1994). Therefore, legitimacy theories predict a negative association, and the empirical evidence in existing literature is largely mixed (Tang & Luo, 2011). For example, Wiseman (1982) examined a sample of 26 firms in environmentally sensitive industries using an indexing procedure to measure the extent of disclosure of 18 environmental items and found that no relationship existed between environmental disclosure and performance. Freedman and Wasley (1990) used the same indexing procedure for 50 US companies and conducted Spearman rank order correlation tests. They found that neither annual reports nor environmental disclosures (as communicated via the Securities and Exchange Commission’s 10-K report) were significantly associ- ated with actual pollution control performance. Ingram and Frazier (1980) found that environmental disclosures did not relate strongly to environmental performance, as measured by CEP indices. However, Bewley and Li (2000), who adopted the same rat- ing scheme used by Wiseman (1982), found a negative association. They used a cross- sectional sample of Canadian manufacturing firms and documented that firms with more news media coverage of their environmental exposure, higher pollution propen- sity, and more political exposure were more likely to disclose general environmental information. Hughes et al. (2001) investigated whether disclosures differed between firms who were rated good, mixed, or poor in their environmental activities by the CEP and whether these differences in disclosure could be used to determine actual environmental performance levels. The study focused on 51 US manufacturing firms for 1992 and 1993 and found that the poor performers made the most disclosures. Patten (2002) identified three issues with previous studies: (1) failure to control for other factors; (2) inadequate sample selection; and (3) inadequate measures of environ- mental performance using CEP indices. Thus, Patten used Toxics Release Inventory data, normalized by sales, as a proxy for environmental performance and examined 131 US companies. The results indicated that there was a significant negative relationship. Campbell (2003) examined environmental disclosures from the annual reports of a sample of ten UK FTSE 100 Index companies in five sectors between 1974 and 2000. The study provided evidence for legitimacy theory in the United Kingdom as an expli- cator of variability in environmental disclosure, adding to the most notable previous studies from Australia (Deegan & Gordon, 1996; Deegan & Rankin, 1996;O’Donovan, 2002) and North America (Buhr, 1998; Patten, 1992). Al-Tuwaijri et al. (2004) explored the relationships among environmental disclo- sure, environmental performance, and economic performance using a simultaneous equations approach. The study adopted a similar disclosure-scoring methodology based on content analysis that incorporated disclosures of four key environmental indicators: (1) the total amount of toxic waste generated and transferred or recycled; (2) financial penalties resulting from violations of ten federal environmental laws; (3) Potential Responsible Party designation for the clean-up responsibility of hazardous waste sites; and (4) the occurrence of reported oil and chemical spills. These disclosures were based on information reported on Form 10-K and are largely non-discretionary. The study found a positive association between environmental performance and disclosure. More recently, Clarkson et al. (2008) focused on purely voluntary disclosure media, such as corporate Internet websites and stand-alone environmental reports. In addition, using a content analysis index, the study found that environmental performance was positively related to the level of discretionary disclosures in environmental and social reports or related web disclosures. However, the authors showed that firms whose envi- ronmental legitimacy is threatened may make more ‘soft claims’ regarding their com- 196 He et al. mitment to the environment. This result is predicted by legitimacy theory but cannot be explained by voluntary (or economic) disclosure theories. In a more recent study, Clarkson et al. (2011c) examined how both the level and the nature of environmental information disclosed by Australian firms related to their underlying environmental per- formance and found consistently that firms with a higher propensity toward pollution disclosed more environmental information. In summary, existing studies have shown mixed results. One reason for the inconclusive findings is the use of different indices developed by the authors to measure the chosen factors for environmental disclosure, and these different indices may be inconsistent with each other since they often include different kinds of environ- mental information. Another possibility is that these studies did not adequately address endogeneity issues. Thus, we used the CDP carbon disclosure index (CDI) and a joint- estimation approach to mitigate these concerns. Since voluntary disclosure theories and legitimacy theories have provided opposing predictions, we tested the following two competing hypotheses (stated in the alternative form). H2a: Carbon performance is positively associated with the level of discretionary carbon disclosure, which is consistent with voluntary disclosure theories. H2b: Carbon performance is negatively related to the level of discretionary carbon disclosure, which is consistent with legitimacy theories. 3. Sample and methodology 3.1. Sample description This study used a cross-sectional research design. Sample firms must meet all the fol- lowing criteria. That is, the firm: (1) was in the list of both 2009 and 2010 CDP reports and in the S&P 500 2009 and 2010 reports; (2) had a carbon disclosure score and carbon emission data for 2010; (3) did not experience takeovers, mergers, and/or acqui- sitions in 2010 and 2009; (4) had a cost of capital that could be computed; (5) and had complete financial data reported in S&P’s Compustat database and the Center for Research in Security Prices (CRSP) database. Selection processes were conducted step by step. Of the 2010 S&P 500, 350 firms completed the CDP questionnaire, and only 240 firms met selection criteria (1) through (3). The cost of capital of 28 firms could not be computed, and 21 firms do not have complete Compustat and CRSP data. The final sample therefore included 181 disclosing firms that met all of the selection criteria. Table 1 shows the industry distribution of all S&P 500 and sample firms. 3.2. Empirical models and variable definitions Ullmann (1985) conducted a meta-analysis of prior empirical studies that investigated the relationships among social disclosure, social performance, and economic perfor- mance. He noted that the mixed results in prior empirical studies might be caused by incomplete specification of the empirical models measuring the statistical significance of pairwise association. Al-Tuwaijri et al. (2004) argued that this body of empirical environmental research may have produced ambiguous results by failing to recognize the potential for endogenous relationships among environmental disclosure, environ- mental performance, and economic performance. Thus, they sought to detect the pres- ence of endogenous relationships among these three constructs by using a Hausman China Journal of Accounting Studies 197 Table 1. Sample distribution by industry. Industries All firms (no.) % Firms responding (no.) % Sample firms (no.) % Consumer Discretionary 80 16 49 14 18 10 Consumer staples 41 8 37 11 26 14 Energy 39 8 23 7 15 8 Financials 78 16 51 15 10 6 Health care 52 10 37 11 19 10 Industrials 58 12 37 11 24 13 Information Technology 77 15 56 16 33 18 Materials 32 6 25 7 18 10 Telecommunications 9 2 6 2 3 2 Utilities 34 7 29 8 15 8 Total 500 100 350 100 181 100 (1978) test. Similarly, we estimated the relationships among carbon disclosure, carbon performance, and the cost of capital by employing a system of simultaneous equations, defined in the following structural form: COST ¼ CD þ BETA þ FD þ SIZE þ MB þ INTENSITY þ IND þ e i;t i;t i;t i;t i;t i;t i;t i;t i;t (1) CD ¼ CP þ FD þ FIN þ TOBINQ þ LEV þ SIZE þ LIQUIDITY i;t i;t i;t i;t i;t i;t i;t i;t (2) þ ROA þ INTENSITY þ LITIGATION þ IND þ e i;t i;t i;t i;t i;t CP ¼ CD þ FIN þ TOBINQ þ LEV þ SIZE þ MB þ ROA i;t i;t1 i;t i;t i;t i;t i;t i;t (3) þ INTENSITY þ LITIGATION þ IND þ e i;t i;t i;t i;t where COST , CD , and CP are endogenous variables and the other variables are i,t i,t i,t predetermined variables. In equation (1), COST is the implied cost of equity capital in year t estimated by the price/earnings to growth (PEG) formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is an empirical proxy for voluntary carbon disclo- sure of firm i in year t and is calculated using data from the CDP report. A CDP report presents a firm’s carbon-related activities and information. Technically, a company is assigned a score (which ranges from 0 to 5) based on the content of the information provided in the answer to a particular question in the carbon questionnaire. The final score, CD, is a percentage that is equal to the total score earned, divided by the total score available. Thus, CD increases with the level of carbon disclosure, i.e. a higher CD value for a firm suggests that its carbon emissions and carbon-related strategies and actions are more transparent and visible than firms with lower CD. A negative coeffi- cient with CD is expected, which would support H1 (that a high level of carbon disclo- sure decreases the cost of capital). Following Botosan (1997), we tested the validity of the CD score by calculating correlations between the extent of disclosure and various firm-specific variables that have been shown in prior research to be significant drivers of a firm’s level of disclo- sure. We expected that the extent of carbon disclosure would be positively associated with firm size (Botosan, 1997), financial leverage (Botosan, 1997), and capital raising (Luo et al., 2012). Table 2 presents the correlation coefficients between the extent of 198 He et al. Table 2. Correlation analysis of carbon disclosure scores and firm characteristics. Panel A: Univariate analysis SIZE LEV FIN *** ** Pearson correlation with CD 0.19 0.12 0.15 ** ** Spearman’s rho correlation with CD 0.19 0.12 0.16 Panel B: Multivariate analysis Intercept SIZE LEV FIN ** *** * ** coefficient 25.9635 3.0106 12.1731 21.6269 t-statistic 2.41 3.12 1.90 2.22 p-value 0.017 0.002 0.059 0.028 adj. R 6.89% Prob. > F 0.001 Notes: This table contains Pearson correlation and Spearman’s rho correlation coefficients between CD *** ** * (carbon disclosure score) and firm characteristics. indicate statistical significance at the 1%, 5%, and 10% levels, respectively. SIZE is the natural logarithm of the market value of equity at the end of year t. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. carbon disclosure and these firm characteristics. The findings in Table 2 reveal that firm size, financial leverage, and firms’ raising of capital ownership are positively associated with carbon disclosure level. Overall, these findings confirm the validity and reliability of the CDI. The other control variables in equation (1) are derived from prior research. Follow- ing Botosan (1997), the market model BETA, which is estimated using CRSP monthly data with a minimum of 30 out of 60 months’ worth of returns (Botosan and Plumlee, 2005), was included to control for systematic risk. Francis et al. (2008) found that earn- ings quality influenced the relationship between voluntary disclosure and the cost of capital. Hence, we included earnings quality (FD) in equation (1). FD is estimated as the absolute value of abnormal accruals, estimated based on the modified Jones model. Fama and French (1992) found that expected returns were negatively associated with firm size and positively associated with the book-to-market ratio. Thus, we included firm size (SIZE) and the market-to-book ratio (MB) in equation (1). SIZE is the natural logarithm of the market value of common equity at the end of year t. MB is the mar- ket-to-book ratio, defined as the market value of equity, divided by the book value of equity at the end of year t. Firms in GHG-intensive sectors (such as utilities, energy, and materials ) have more carbon emissions and a higher propensity toward pollution (Bewley and Li, 2000; Clarkson et al., 2008) as a result of their inherent operation pro- cesses and are likely to be the targets of a wide variety of climate change regulations on the national, regional, and industry levels. Such environmental legislation may have a financial effect and significantly increase GHG-related liabilities and costs (Stanny and Ely, 2008). Therefore, we also included the variable INTENSITY, which is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise. In all three equations, we included industry indicators to control for poten- tial industry effects. In equation (2), CD has the same definition as in equation (1). Following previ- ous literature (Clarkson, Li, Richardson, & Vasvari, 2011b), we used CP as a proxy for carbon performance, calculated as the inverse of total carbon emission per million dollars of sales turnover (net). Thus, CP is a measure of carbon efficiency and increases in carbon performance. A positive coefficient on CP would support H2a, China Journal of Accounting Studies 199 and a negative coefficient on CP would support H2b. Francis et al. (2008) found that firms with good earnings quality provide more expansive voluntary disclosures than firms with poor earnings quality. Thus, we included earnings quality (FD) in equation (2). Frankel, McNichols, and Wilson (1995) argued that firms raising capital in the public market have a greater propensity to make voluntary disclosures. We controlled for a firm’s financing activities (FIN) by assessing the amount of debt or equity capi- tal raised by the firm during year t, scaled by total assets at the end of year t. Fol- lowing Dhaliwal et al. (2011), we also controlled for growth opportunities (TOBINQ), because firms in an expansionary period are more financially constrained and have fewer resources for improving carbon performance and disclosure. On the other hand, growth firms also tend to have higher levels of information asymmetry, which may prompt managers to provide additional disclosures to attract potential investors (Dhal- iwal et al., 2011). Thus, the net effect of TOBINQ on carbon disclosure is unknown ex ante. TOBINQ is defined as the market value of common equity plus the book value of preferred stock, book value of long-term debt, and current liabilities, scaled by the book value of total assets. Since debt holders demand greater disclosure so that they may monitor the firm’s financial and operation activities (Leftwich, Watts, & Zimmerman, 1981), we included the debt ratio (LEV) in equation (2). LEV is the ratio of total debt divided by total assets. We also controlled for firm size (SIZE), because size captures various factors motivating firms to disclose carbon information, such as public pressure or financial resources (Lang & Lundholm, 1993). In addition, there are some incentives for managers to enhance the liquidity of their firm’s stock via improved disclosure (Dhaliwal et al., 2011). Therefore, we included the effect of liquidity (LIQUIDITY) in equation (2). LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. Prior empirical studies have explored the relationship between firms’ profitability and their environmental disclosure (Aerts, Cormier, & Magnan, 2008; Bewley & Li, 2000; Clarkson et al., 2008; Magness, 2006). Thus, we controlled for return on assets (ROA) in equation (2). ROA is measured as the ratio of income before extraordinary items over total assets at the end of year t.A firm that operates in a GHG-intensive industry may have incentives to voluntarily disclose carbon infor- mation to prepare for possible future legislation to avoid the retroactive costs of regu- latory compliance (Al-Tuwaijri et al., 2004). Thus, we also included INTENSITY in equation (2). Skinner (1997) contended that firms facing a higher level of litigation risk (LITIGATION) have incentives to make voluntary disclosure to pre-empt potential lawsuits. Following Dhaliwal et al. (2011), we controlled for LITIGATION, which is an indicator variable that equals 1 if the firm operates in a high-litigation industry (Standard Industrial Classification [SIC] codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise (Francis, Philbrick, & Schipper, 1994; Mat- sumoto, 2002). Following Al-Tuwaijri et al. (2004), we included previous disclosure (CD )in i,t–1 equation (3). A firm’s prior carbon disclosures may represent a lower bound for current carbon performance. And investors’ expectations of carbon performance are condi- tioned on information provided by prior carbon disclosures (Al-Tuwaijri et al., 2004). If a firm expects poor carbon performance in the future, it may present full carbon information in advance to avoid ‘punishment’ in the future because it had withheld car- bon information. We expect the relationship between CD and CP to be signifi- i,t–1 i,t cantly negative. Following Clarkson et al. (2011b) and Luo et al. (2012), we identified proxies for both a firm’s financial resources and its management capabilities to examine 200 He et al. the determinants of carbon performance. We captured financial resources using profit- ability (ROA), financing activities (FIN), and debt ratio (LEV) and used growth oppor- tunities (TOBINQ), firm size (SIZE), and market-to-book ratio (MB) to serve as proxies for unobservable management talent or capability. Following Dhaliwal et al. (2011)and Luo et al. (2012), we also included the variables INTENSITY and LITIGATION to control for the effect of potential regulatory risks, physical risks, and other risks. All other variables are as defined earlier. Next, we considered the impact of carbon performance on the association between carbon disclosure and the cost of capital. Although firms may be motivated by a possi- ble reduction in the cost of equity capital when making decisions regarding carbon dis- closure, from the perspective of investors, carbon disclosure per se may not necessarily warrant a lower cost of equity capital (Dhaliwal et al., 2011). This is because corporate managers in poor-performing firms could also attempt to disclose more to achieve, restore, or maintain legitimacy (Laine, 2009; Suchman, 1995), and such disclosure obviously would not indicate good carbon performance (Bebbington, Larrinaga, & Moneva, 2008; Lindblom, 1993). A firm is a citizen of society and bound by social contracts. Thus, a firm is expected to carry out various activities considered desirable by the community in return for approval of its objectives and other rewards, and this ultimately guarantees its continued existence (Milne and Patten, 2002; Suchman, 1995). If a firm’s true social or environmental performance is below expectations, it would face a legitimacy threat. In such a case, the firm might disclose some information, instead of improving its performance, in a bid to alter the perception of the public. Patten (1992) concluded that it appears that, at least for environmental disclosures, threats to a firm’s legitimacy usually entice firms to include more information on social responsibility in their annual reports. Deegan and Rankin (1996) found a positive corre- lation between prosecution by Australian state environmental protection authorities and an increase in the level of environmental disclosure. Archel, Husillos, Larrinaga, and Spence (2009) found that firms in their study used social and environmental disclosures strategically to legitimize new production processes through the manipulation of social perceptions. Thus, we augmented equation (1) by adding a measure of a firm’s relative carbon performance (HICP) as well as the interaction between CD and HICP to equa- tion (1). HICP is an indicator variable that equals 1 if the firm’s carbon performance in year t is better than the sample median and 0 otherwise. The purpose of the interaction term is to determine whether carbon performance plays a role in the relationship between carbon disclosure and the cost of capital. All the other variables in the new system of equations are as defined earlier. The following is the revised system of equa- tions: COST ¼ CD þ HICP þ CD HICP þ BETA þ FD þ SIZE þ MB i;t i;t i;t i;t i;t i;t i;t i;t i;t þ INTENSITY þ IND þ e ð1’Þ i;t i;t i;t CD ¼ CP þ FD þ FIN þ TOBINQ þ LEV þ SIZE þ LIQUIDITY i;t i;t i;t i;t i;t i;t i;t i;t þ ROA þ INTENSITY þ LITIGATION þ IND þ e ð2’Þ i;t i;t i;t i;t i;t CP ¼ CD þ FIN þ TOBINQ þ LEV þ SIZE þ MB þ ROA i;t i;t1 i;t i;t i;t i;t i;t i;t (3’) þ INTENSITY þ LITIGATION þ IND þ e i;t i;t i;t i;t China Journal of Accounting Studies 201 4. Empirical results 4.1. Descriptive statistics Table 3 provides descriptive statistics and results of t-tests for comparison of mean values of cost of capital. Table 4 depicts both the parametric and non-parametric, pairwise correlation coefficients for the variables used in our tests. Table 3 shows that the mean cost of capital of all sample firms was 9.9%. When classified by the level of carbon disclosure, the cost of capital of the top 50% of firms (in terms of disclosure) (9.6%) was lower, although insignificantly so (t=1.03), than the bottom 50% of firms (10.2%), and that of the top 25% of firms (9%) was significantly lower (t=2.12; p<0.05) than the lowest 25% of firms (10.4%) (Table 3, Line 1). This difference was also reflected in a significantly negative correlation coefficient for COST versus CD of –0.16 (Table 4), providing initial support for H1. The mean value for CD was 64.16%, and there was a significant difference in CD between the top 50% and the bottom 50% of the sample firms (t=–18.05; p<0.000) and between the top 25% and bottom 25% of firms (t=–25.65, p<0.000; Table 3, line 2). This result suggests that the firms in the sample had different incentives and adopted different strategies for carbon disclosure. The mean value for CP was 0.07 (Table 3, line 3); this indicates that, on average, every 1 tonne of CO generated 0.07 million dollars of sales in the sample firms. However, there were significant differences in carbon performance in different industries, with the lowest mean CP (0.0009) seen in the utilities industry and the highest mean CP (0.32) seen in the financial industry. Because CP is a measure of carbon efficiency, the results (Table 3, line 3) show that firms in the top 50% in terms of disclosure tended to be less car- bon efficient (CP=0.055) than the bottom 50% of firms (CP=0.084) (top 25% CP=0.44, bottom 25% CP=0.099). Table 4 (column 3 and 5) also presents a nega- tive relationship between carbon disclosure and carbon performance. This evidence suggests that firms with poor carbon performance disclosed more, which is consis- tent with the legitimacy theory. However, the negative correlations in both Tables 3 and 4 were not statistically significant (p<0.15). The t-test results presented in Table 3 show that the relationships of CP, BETA, FD, TOBINQ, LEV, MB, and ROA with CD were not significant, and FIN (t=−2.24; p<0.05) and SIZE (t=−2.84; p<0.05) were significantly related to CD. This suggests that larger firms tended to disclose more, and firms raising capital also had a greater propensity to make voluntary carbon disclosures, which would reduce the cost of capi- tal. Note that LIQUIDITY was negatively associated with disclosure (t=1.42; and t=2.19; p<0.05), suggesting that managers with low-liquidity firms had some incentive to improve disclosure to enhance liquidity. This is consistent the with the significant negative Spearman and Pearson correlation coefficients between CD and LIQUIDITY shown in Table 4 ( p<0.10). The other results in Table 4 were generally consistent with our predictions or prior studies. For example, the cost of capital (COST) was significantly and positively associated with systematic risk (BETA) (Botosan and Plumlee, 2005; Francis et al., 2008) and significantly and negatively related to firm size (SIZE), earnings quality (FD), and market-to-book ratio (MB) (e.g. Fama and French, 1992; Francis et al., 2008). The negative coefficient of carbon performance (CP) and INTENSITY (p<0.01) suggests that carbon efficiency of firms in a GHG-intensive industry was, on average, poorer than that of firms in a low carbon-intensive industry. 202 He et al. Table 3. Summary statistics and results of T-test for mean comparisons (classified by the level of carbon disclosure). CD (top 50%=1, bottom 50%=0) CD (top 25%=1, bottom 25%=0) t t CD =1 CD =0 t-value CD =1 CD =0 t-value t t t t Full Sample (n=88) (n=93) (difference) (n=48) (n=46) (difference) COST 0.099 0.096 0.102 1.03 0.090 0.104 2.12 CD 64.16 76.77 52.23 –18.05 82.94 44.58 –25.65 CD 57.21 67.56 47.42 –9.00 71.83 40.26 –10.32 t–1 CP 0.070 0.055 0.084 1.21 0.044 0.099 1.51 BETA 1.098 1.100 1.097 –0.04 0.967 1.078 1.02 FD –0.158 –0.168 –0.148 0.65 –0.157 –0.138 0.46 FIN 0.072 0.091 0.054 –2.24 0.086 0.046 –1.76 TOBINQ 1.591 1.636 1.549 –0.77 1.710 1.527 –1.12 LEV 0.597 0.610 0.586 –0.92 0.614 0.560 –1.52 SIZE 9.755 9.887 9.631 –1.49 10.125 9.435 –2.84 MB 3.300 3.570 3.043 –1.10 3.789 3.090 –0.99 LIQUIDITY 2.470 2.305 2.626 1.42 2.061 2.677 2.19 ROA 0.066 0.070 0.062 –1.04 0.075 0.063 –1.06 INTENSITY The number of low (high) INTENSITY firms is 133 (48). t t LITIGATION The number of low (high) LITIGATION firms is 134 (47). t t All continuous variables are winsorized at the 1st and 99th percentiles. Variable definitions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s voluntary carbon disclosure in year t presented by CDP, which is an inter- national collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon performance, measured as the inverse of total carbon emission per million dollars of sales turnover (net); it was also used in Clarkson et al. (2008). BETA is market-model beta calculated from the monthly CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated using the modified Jones model. FIN is the amount t t of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is the natural logarithm of the market value of equity at the end of year tMB is the market-to-book ratio, defined as the market value of equity divided by the book value t t of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. ROA t t is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. China Journal of Accounting Studies 203 Table 4. Spearman/Pearson correlation coefficients. COST CD CD CP BETA FD FIN TOBINQ t t t–1 t t t t t ** ** *** COST 1.00 –0.16 –0.17 0.03 0.42 –0.08 0.01 –0.12 ** *** ** CD –0.16 1.00 0.70 –0.12 –0.06 –0.05 0.16 0.01 ** *** ** CD –0.18 0.70 1.00 –0.01 –0.05 –0.01 0.17 0.10 t–1 ** *** *** CP 0.03 –0.10 –0.07 1.00 0.18 0.70 –0.03 0.22 *** ** BETA 0.42 –0.07 –0.05 0.06 1.00 0.02 –0.04 –0.15 *** FD –0.10 –0.01 0.00 0.31 0.02 1.00 –0.05 0.05 ** ** *** FIN 0.01 0.15 0.15 –0.04 –0.04 0.02 1.00 0.27 ** *** ** TOBINQ –0.17 0.05 0.10 –0.08 –0.20 0.10 0.18 1.00 *** LEV 0.03 0.12 0.07 0.09 0.08 0.03 0.09 –0.43 *** *** *** *** *** SIZE –0.20 0.19 0.25 0.05 –0.25 –0.03 –0.09 0.21 ** * ** *** MB –0.16 0.10 0.14 –0.06 –0.17 0.04 0.08 0.50 *** ** LIQUIDITY 0.42 –0.15 –0.09 0.01 0.56 –0.02 0.11 –0.07 *** *** *** ROA –0.24 0.08 0.11 0.00 –0.28 0.01 0.06 0.68 *** *** *** INTENSITY –0.01 0.07 0.03 –0.25 –0.12 –0.50 –0.03 –0.19 *** LITIGATION –0.01 –0.03 0.08 0.02 0.09 0.11 0.04 0.30 LEV SIZE MB LIQUIDITY ROA INTENSITY LITIGATION t t t t t t t * ** *** *** COST –0.02 –0.14 –0.16 0.34 –0.23 –0.02 0.01 ** * CD 0.12 0.19 0.06 –0.14 0.03 0.07 0.00 *** * * CD 0.07 0.21 0.13 –0.14 0.08 0.03 0.08 t–1 * ** ** *** *** CP –0.14 0.09 0.19 0.11 0.19 –0.67 0.31 ** * *** *** * BETA –0.01 –0.18 –0.14 0.53 –0.24 –0.12 0.08 *** FD –0.01 0.02 0.08 0.01 0.01 –0.56 0.12 *** FIN 0.09 0.05 0.28 0.05 0.11 0.06 –0.01 *** *** *** *** *** *** TOBINQ –0.42 0.22 0.86 –0.07 0.72 –0.21 0.29 ** *** *** LEV 1.00 –0.17 0.00 –0.07 –0.44 0.03 –0.35 ** *** *** *** SIZE –0.15 1.00 0.21 –0.43 0.32 –0.06 0.08 *** ** *** *** * MB 0.28 0.07 1.00 –0.15 0.57 –0.22 0.13 *** * *** *** LIQUIDITY –0.07 –0.39 –0.13 1.00 –0.20 –0.03 0.20 *** *** *** * ** ** ROA –0.44 0.33 0.31 –0.13 1.00 –0.18 0.16 ** *** *** INTENSITY 0.03 –0.06 –0.19 –0.04 –0.20 1.00 –0.33 *** ** ** *** LITIGATION –0.38 0.09 –0.03 0.19 0.19 –0.33 1.00 t 204 He et al. Table 4 (Continued) * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, respectively. n=181. All continuous variables are winsorized at the 1st and 99th percentiles. The Spearman (Pearson) correlations are above (below) the diagonal. Variable definitions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s voluntary carbon disclosure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon performance, measured as the inverse of total carbon emissions per million dollars of sales turnover (net); it was also used in Clarkson et al. (2008). BETA is market-model beta calculated from the monthly CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated using the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of t t preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets; SIZE is the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, defined as the market value of equity t t divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY is an indicator t t variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. China Journal of Accounting Studies 205 4.2. The endogeneity problem Al-Tuwaijri et al. (2004) argued that managers’ overall strategies likely affect carbon disclosure, carbon performance, and the cost of capital simultaneously and thus an OLS regression analysis is inappropriate. Hence, we examined the endogenous relationships among the three dependent variables (COST, CD, and CP) by employ- ing a Hausman (1978) test, and we rejected the null hypothesis of no endogeneity with respect to CP in equation (2) (t=–6.96, p<0.000). This result suggests that OLS estimators are potentially biased and inconsistent. We continued our analysis using two-stage least squares (2SLS) and 3SLS simultaneous equation models to control for endogeneity to obtain asymptotically unbiased results. We used the Haus- man (1978) specification test to compare 2SLS estimates with 3SLS estimates; the results were largely similar, but 3SLS was more efficient than 2SLS. Thus, here we report only 3SLS results. Our simultaneous estimation of the parameters using the 3SLS model incorporated the available information from all the equations. After sys- tem estimation with 3SLS, we used the procedures of the Hansen-Sargan test to report an over-identification statistic. As indicated by Davidson and MacKinnon (2004, p. 532), a Hansen-Sargan test of the over-identifying restrictions is based on the 3SLS criterion function evaluated at the 3SLS point and interval parameter esti- mates. The result shows that the Hansen-Sargan over-identification statistic was 17.899 and insignificant at the 5% level. This result confirms the validity of the instruments. 4.3. Regression analysis (three-stage least squares) Table 5 reports the results of our 3SLS simultaneous equation model. Following the example of Dhaliwal et al. (2011), we created a new variable, HICP, and an interaction term, CD*HICP, to capture the impact of carbon disclosure on the cost of capital conditional on carbon performance. We report the results from both sys- tems of equations, and each system comprises three equations: one system of equations excludes (left side of Table 5) and the other includes the variable of HICP and the interaction term CD*HICP (right side of Table 5) in equation (1). Table 5 shows, without the interaction term CD*HICP in equation (1), that the coefficient of CD was −0.0004 at the 10% level of significance (t=–1.839), sug- gesting a negative relationship between carbon disclosure and the cost of capital (COST), which supports hypothesis H1. This result is also consistent with the find- ings of Dhaliwal et al. (2011). Table 5 also shows a negative coefficient for HICP, suggesting an inverse association between carbon performance and the cost of cap- ital. Next, we examined the impact of the interaction between CD and HICP; the coefficient of CD was –0.001 at a higher level of significance (p<0.05) (t=–2.485). However, the interaction term CD*HICP was significantly positive (p<0.05). This result suggests that the negative relationship between the cost of capital and car- bon disclosure is weaker in firms with good carbon performance. This is probably because these firms disclose less information than poor performers. The result sup- ports hypothesis H1a and highlights the importance of carbon disclosure for inves- tors. It is also consistent with the legitimacy theory that firms with poor carbon performance have stronger incentives to disclose more, because these firms are more likely to have the problem of threatened legitimacy. The results of t-tests in Table 3 and regression analysis in equation (2) of Table 5 confirm this interpreta- 206 He et al. Table 5. Three-stage least squares (3SLS) regression results (R – total emission) and PEG coefficients (t-statistics). Dependent variables Dependent variables Independent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t * ** CD –0.0004 –0.001 (–1.839) (–2.485) *** *** CD –0.001 –0.002 t–1 (–5.215) (–7.234) *** *** CP –369.860 –350.704 (–2.886) (–9.970) ** HICP –0.064 (–2.427) * ** CD HICP 0.001 t t (2.436) *** *** BETA 0.024 0.021 (4.548) (4.185) FD –0.019 –0.009 –0.017 9.266 (–1.345) (–0.001) (–1.116) (1.419) FIN 3.103 –0.019 3.111 0.001 (0.084) (–0.209) (0.145) (0.008) TOBINQ –1.581 –0.001 –1.992 –0.008 (–0.201) (–0.050) (–0.430) (–0.399) ** ** *** ** LEV 72.754 0.186 68.800 0.162 (1.973) (2.382) (3.675) (2.061) ** ** SIZE –0.005 2.155 0.005 –0.006 2.542 0.008 (–2.002) (0.549) (0.537) (–2.485) (1.094) (0.798) MB –0.001 –0.000 –0.001 0.002 (–1.327) (–0.003) (–1.360) (1.099) LIQUIDITY –1.455 –0.466 (–1.292) (–0.575) ROA 77.532 0.182 89.030 0.171 (0.662) (0.663) (1.328) (0.621) *** INTENSITY –0.030 –2.526 –0.010 0.204 –4.932 0.015 (–1.487) (–0.056) (–0.117) (6.384) (–0.246) (0.187) LITIGATION –14.309 –0.034 –13.130 –0.033 (–1.159) (–1.248) (–1.928) (–1.204) *** _cons 0.153 0.000 –0.085 0.000 2.088 –0.073 Industry indicators Yes Yes Yes Yes Yes Yes Adjusted system R 0.773 0.763 * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, respec- tively. n=181. All continuous variables are winsorized at the 1st and 99th percentiles. Variable definitions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s voluntary carbon disclo- sure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon performance, measured as the inverse of total carbon emissions per million dollars of sales turnover (net); it was also used in Clarkson et al. (2008). HICP is an indicator variable that equals 1 if the firm’s CP in year t is higher than the sample median and 0 otherwise. BETA is market-model beta calculated from the monthly CRSP stock returns during year t − 5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, esti- mated based on the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is t t the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, defined as the market value of equity divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every China Journal of Accounting Studies 207 month of year t. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. tion. On the other hand, it is also possible that the current format and content of the CDP report is not adequate for users to distinguish between good and poor performers. Thus, further efforts should be made to standardize the format and contents of carbon disclosure reports. The coefficient estimates of the control vari- ables in equation (1) were generally consistent with the univariate analysis in Tables 3 and 4. As predicted, systematic risk (BETA) and carbon intensity of an industry (INTENSITY) were positively associated and firm size (SIZE) and earnings quality (FD) were negatively associated with the cost of capital. However, only the coefficients of BETA and SIZE were significant in both systems of equations. MB was not significant in either system, and INTENSITY was significant only in the system with HICP and CD*HICP. Equation (2) in Table 5 examines the determinants of carbon disclosure and shows that the coefficient of CP was significantly negative (–369.860 and –350.704; p<0.01) in both systems of equations. The result is consistent with legitimacy theory and sup- ports hypothesis H2b, suggesting that poorer performers disclose more. This evidence provides an explanation for the result obtained from equation (1) that the negative rela- tionship between carbon disclosure and cost of capital is more pronounced in firms with poorer performance. For the control variables in equation (2), the debt ratio (LEV) was significantly positively associated with CD in both systems of equations. This is consistent with Leftwich et al. (1981), who argued that debt servicing plays a monitor- ing role and that debt holders demand greater disclosure. Litigation risk (LITIGATION) was negatively associated with CD (p<0.10), but significantly only when HICP and CD*HICP were included in equation (1). This result is consistent with Dhaliwal et al. (2011) but inconsistent with Skinner (1997). All other control variables were insignifi- cant. Equation (3) specifies the determinants of carbon performance. The significantly negative relationship between CP and past carbon disclosure (CD )(p<0.01 in both i,t–1 systems) suggests that poor carbon performers may present full carbon information in advance to avoid negative surprises and future market punishment caused by withhold- ing carbon information (Matsumoto, 2002). All other control variables in equation (3) were insignificant, except for debt ratio (LEV). In sum, the 3SLS results suggest two significant relationships among dependent variables. First, carbon disclosure was significantly and negatively associated with the cost of capital, suggesting that the market rewards firms with higher levels of carbon transparency. However, the negative relationship between carbon disclosure and the cost of capital was more pronounced in poor carbon performers, suggesting that without sufficient disclosure, market participants may not fully understand a firm’s good carbon performance. Second, there is an inverse relationship between carbon disclosure and performance, supporting the proposition that poor carbon per- formers have more incentive to disclose carbon information as a result of the pres- sure of legitimacy. This may explain why disclosure is less effective in firms with good performance. 208 He et al. 4.4. Sensitivity analysis 4.4.1. Alternative cost of capital measure We used the PEG ratios developed by Easton (2004) to measure the implied cost of capital because extant tests show that this proxy has better construct validity than other measures (Botosan & Plumlee, 2005). Notwithstanding this evidence, we investigated the sensitivity of our main results to another ex ante cost of capital metrics: debt rating (an ex ante cost of debt measure). We used debt rating because this allowed us to side- step the debate about which is the ‘best’ ex ante cost-of-equity proxy (Francis et al., 2008), and because Sengupta (1998) concluded that disclosure quality (as measured by the scores from the Association of Investment Management and Research) is negatively associated with cost of debt. For tests of debt rating, we used S&P credit ratings (which range from AAA [highest quality] to D [default]), as available on Compustat. We employed the numeric transformation rules of S&P credit ratings in Francis et al. (2008) and excluded those firms that had no debt ratings. The results are shown in Table 6. Panel A of Table 6 shows that the mean of cost of debt capital of all sample firms was 9.062, which is close to the cost of equity capital (9.90) (Table 3). Also, there was an insignificant (significant) difference in the cost of debt between the top 50% (25%) (i.e. high-disclosure) of firms and the bottom 50% (25%) (i.e. low- disclosure) of firms. This result is identical to the result in our main analysis in Table 3. Panel B of Table 6 shows the results of the 3SLS simultaneous equation model. In equation (1), both with and without HICP, CD was always significantly and neg- atively associated with the cost of capital (p<0.05), which is consistent with the observations using PEG ratios as a proxy for the cost of capital (Table 5). How- ever, HICP and CD*HICP were no longer significant, suggesting that carbon disclo- sure had a similar impact on the cost of debt in high- and low-performance firms. The results of all other control variables were also consistent with those observed using PEG ratios, with two exceptions: the indicator variable of a carbon-intensive industry (INTENSITY) was no longer statistically significant, and market-to-book ratio (MB) was significantly negative, consistent with the results of Dhaliwal et al. (2011). The results of equation (2) were generally consistent with those presented in our main analysis, except that the coefficient of CP was statistically significant (t=−1.864, p<0.10) only in the system with HICP, suggesting that carbon disclosure is less sensi- tive to carbon performance in the case of cost of debt. This provides evidence of the importance for controlling for endogeneity in this research setting (Al-Tuwaijri et al., 2004) and validates our adoption of a joint-estimation research design. In equation (3), we observed results identical to those presented in our main analysis, except that the coefficient of profitability (ROA) was statistically significantly positive (p<0.01). Taken as a whole, our main inferences held when we replaced cost of equity with cost of debt. 4.4.2. Alternative carbon performance proxy In the prior analysis, we used the inverse of total carbon emissions per million dol- lars of sales turnover (net) to measure carbon performance. Total carbon emissions consist of three defined ‘scopes’ of GHG emissions: scopes 1, 2, and 3. Scope 1 China Journal of Accounting Studies 209 Table 6. Three-stage least squares (3SLS) regression results (credit ratings –total emission) and coefficients (t-statistics). Panel A: Mean comparison CD (top 50%=1, low 50%=0) CD (top 25%=1, low 25%=0) t t Full sample CD =1 CD =0 t-value CD =1 CD =0 t-value t t t t (n=33) (n=32) (difference) (n=15) (n=15) (difference) COST 9.062 8.545 9.594 1.57 8.333 10 2.14 Panel B: Three-stage least squares (3SLS) results Independent variables Dependent variables Dependent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t ** ** CD –0.047 –0.057 (–2.389) (–2.307) *** *** CD –0.002 –0.002 t–1 (–2.729) (–2.871) CP –62.639 –73.711 (–1.571) (–1.864) HICP –2.620 (–1.103) CD HICP 0.012 t t (0.327) *** *** BETA 1.690 1.781 (3.639) (4.049) FD –1.940 –15.010 –1.365 –14.818 (–1.372) (–1.204) (–1.022) (–1.193) FIN 38.012 0.194 39.591 0.168 (1.186) (0.890) (1.226) (0.767) TOBINQ –1.052 –1.844 –0.045 (–0.184) (–0.323) (–0.906) *** *** LEV 26.281 0.460 29.265 0.476 (1.290) (2.781) (1.432) (2.878) *** *** SIZE –0.834 1.288 –0.008 –0.803 1.220 –0.008 (–3.080) (0.539) (–0.565) (–3.156) (0.507) (–0.564) ** ** MB –0.230 –0.007 –0.257 –0.008 (–2.098) (–0.598) (–2.485) (–0.673) (Continued) 210 He et al. Table 6. (Continued). Panel B: Three-stage least squares (3SLS) results Independent variables Dependent variables Dependent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t LIQUIDITY –0.092 –0.085 (–0.707) (–0.656) *** *** ROA –30.349 1.348 –15.158 1.384 (–0.316) (2.991) (–0.158) (3.051) INTENSITY 0.386 32.622 –0.038 0.375 31.242 –0.129 (0.226) (1.334) (–0.444) (0.219) (1.269) (–0.704) LITIGATION –5.326 (–0.985) –5.252 0.018 (–0.938) 0.014 (–0.919) (0.509) *** *** _cons 18.197 0.000 –0.083 19.438 0.000 0.000 Industry indicators Yes Yes Yes Yes Yes Yes Adjusted system R 0.867 0.886 * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, respectively. n=65. All continuous variables are winsorized at the 2nd and 98th percentiles. Variable definitions: COST is the implied cost of capital in year t derived from the numeric transformation rules of S&P credit ratings in Francis et al. (2008). CD is a measure of the firm’s voluntary carbon disclosure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the busi- ness implications of climate change; CP is the firm’s carbon performance, measured as the inverse of total carbon emissions per million dollars of sales turnover (net); this was also used in Clarkson et al. (2008). HICP is indicator variable that equals 1 if the firm’s CP in year t is higher than the sample median and 0 otherwise. BETA is market-model t t beta calculated from the month CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated based on the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of t t common equity plus the book value of preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, t t defined as the market value of equity divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGA- TION is and indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 other- wise. China Journal of Accounting Studies 211 Table 7. Three-stage least squares (3SLS) results (alternative carbon performance proxy) and coefficients (t-statistics). Dependent variables Dependent variables Independent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t *** *** CD –0.001 –0.001 (–2.962) (–3.411) *** *** CD –0.093 –0.083 t-1 (–8.166) (–7.922) *** *** CP –5.359 –8.106 (–3.186) (–5.995) *** HICP –0.077 (–3.064) * *** CD HICP 0.001 t t (3.054) *** *** BETA 0.020 0.018 (3.909) (3.522) FD –0.016 1.188 –0.013 –3.868 (–1.164) (0.159) (–0.877) (–0.542) FIN 14.525 0.841 13.186 1.020 (0.645) (0.215) (0.554) (0.263) TOBINQ 1.834 0.459 3.877 0.350 (0.359) (0.514) (0.726) (0.396) LEV 13.224 1.605 16.966 0.965 (0.686) (0.459) (0.833) (0.280) * ** SIZE –0.004 1.145 0.125 –0.006 0.449 0.068 (–1.873) (0.446) (0.287) (–2.528) (0.165) (0.155) MB –0.001 0.023 –0.001 0.065 (–1.313) (0.254) (–1.362) (0.769) LIQUIDITY –1.403 –1.067 (–1.656) (–1.278) ROA –0.696 –2.503 –16.097 –2.462 (–0.010) (–0.207) (–0.216) (–0.205) *** ** *** *** *** INTENSITY 0.139 –73.508 –14.416 0.184 –116.960 3.271 (5.903) (–2.424) (–5.900) (6.245) (–4.440) (0.699) LITIGATION –1.742 0.034 –0.907 0.257 (–0.245) (0.028) (–0.120) (0.211) *** *** *** _cons 0.000 121.505 17.321 0.000 165.478 0.000 Industry indicators Yes Yes Yes Yes Yes Yes Adjusted system R 0.701 0.705 * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, respec- tively. n=181. All continuous variables are winsorized at the 1st and 99th percentiles. Variable Definitions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s voluntary carbon disclo- sure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon performance, measured as the inverse of scope 1 emissions per million dollars of sales turnover (net). HICP is indicator variable that equals 1 if the firm’s CP in year t is higher than the sample median, and 0 otherwise. BETA is market-model beta calculated from the month CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated based on the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of preferred stock, book value of long- term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, defined as the market value of equity divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY t 212 He et al. is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. consists of direct emissions that come from sources that a firm owns or controls. This generally includes emissions from fossil fuel combustion for electricity, heat or steam generation, production processes for cement and steel manufacturing, transpor- tation of company-owned vehicles or aeroplanes, and fugitive emissions, such as refrigerants and methane (Kolk et al., 2008; Phillips, 2004). Scope 2 emissions are referred to as indirect emissions, which are generated from activities necessary to support production activities such as those purchased from an off-site facility, for example, electricity or steam. Scope 3 emissions are harder to define as they have a broader reach and are more all-encompassing. They are brought about by activi- ties that are part of the life cycle of the product and are created by employees, sup- pliers, customers, and contractors; for example, employees driving to work, activities embedded in purchased supplies or inventory, or transporting and disposal of prod- ucts. Scope 1 emissions are the most widely reported, because a firm can be held directly accountable for such emissions. In 2010, direct emissions (scope 1) repre- sented 1.54 billion tonnes of CO -equivalent emissions, or 84% of total emissions reported (PwC & CDP, 2010). On the other hand, indirect emissions (scope 2) come from sources where the point of release is not within the firm itself, but either upstream or downstream in the supply chain; scope 3 emissions are still not well-defined, so many firms do not disclose this information. Thus, we also used the inverse of scope 1 emissions per million dollars of sales turnover (net) to mea- sure carbon performance, because there is a concern that scopes 2 and 3 emissions may be, to some extent, incomparable between firms in different sectors. Other model specifications were the same. The results are presented in Table 7 and are virtually the same as those reported in Table 5. 4.4.3. Past carbon disclosure proxy Dhaliwal et al. (2011) argued that endogeneity and self-selection issues can arise if a study examines a contemporaneous relationship between social responsibility dis- closure and the cost of capital. On the one hand, if the disclosure is motivated by a firm’s desire to reduce its high cost of capital, then researchers should observe a positive relationship between disclosure and the cost of capital. On the other hand, if disclosure leads to a lower cost of equity capital, there should be a negative rela- tionship between these factors. Therefore, the contemporaneous relationship between disclosure and the cost of capital could be ambiguous. To address the potential for endogeneity and self-selection issues, we employed a lead-lag approach in this sen- sitivity analysis, i.e. we replaced carbon disclosure (CD ) with prior carbon disclo- i,t sure (CD ) in equation (1) in our system of equations and kept the other i,t–1 specifications unchanged. The results are shown in Table 8 and are generally the same as those in Table 5, except that the coefficient of carbon disclosure (CD ) i,t–1 was significantly negative (p<0.05) only in the system that included HICP and CD*HICP. This result is consistent with Dhaliwal et al. (2011) and validates the interaction effect between carbon disclosure and carbon performance on the cost of capital in our empirical analysis. In sum, the use of a lead-lag approach did not alter the main inferences obtained from previous analyses. China Journal of Accounting Studies 213 Table 8. Three-stage least squares (3SLS) regression results (prior carbon disclosure proxy) and coefficients (t-statistics). Dependent variables Dependent variables Independent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t CD *** ** *** CD –0.0002 –0.001 –0.0004 –0.003 t–1 (–1.365) (–5.039) (–2.083) (–7.333) *** *** CP –396.544 –165.751 (–3.093) (–4.797) HICP –0.024 (–1.466) * * CD HICP 0.0004 t t (1.667) *** *** BETA 0.024 0.022 (4.568) (4.259) FD –0.020 1.601 –0.021 4.009 (–1.423) (0.166) (–1.371) (0.597) FIN 1.081 –0.020 13.944 0.017 (0.029) (–0.221) (0.962) (0.184) TOBINQ –1.485 –0.002 –1.494 –0.001 (–0.189) (–0.088) (-0.477) (–0.058) ** ** *** ** LEV 77.330 0.181 38.584 0.203 (2.098) (2.322) (2.915) (2.427) ** ** * SIZE –0.005 2.335 0.005 –0.006 2.841 0.012 (–2.271) (0.596) (0.516) (–2.567) (1.790) (1.217) MB –0.001 0.000 –0.001 –0.000 (–1.372) (0.153) (–1.426) (–0.020) LIQUIDITY –0.993 -0.729 (–0.880) (-0.872) ROA 82.322 0.179 47.520 0.197 (0.703) (0.652) (1.038) (0.713) *** INTENSITY 0.110 –0.240 –0.093 –0.030 13.691 0.015 (4.958) (–0.005) (–0.894) (–1.508) (0.713) (0.179) LITIGATION –15.213 –0.035 –5.915 –0.029 (–1.234) (–1.254) (–1.259) (–1.051) *** _cons 0.000 0.000 0.000 0.160 0.000 –0.099 Industry indicators Yes Yes Yes Yes Yes Yes Adjusted system R 0.773 0.754 * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, st th respectively. n=181. All continuous variables are winsorized at the 1 and 99 percentiles. Variable defini- tions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s volun- tary carbon disclosure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon perfor- mance, measured as the inverse of total carbon emissions per million dollars of sales turnover (net); it was also used in Clarkson et al. (2008). HICP is indicator variable that equals 1 if the firm’sCPin year t is higher than the sample median, and 0 otherwise. BETA is market-model beta calculated from the month CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated based on the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, defined as the market value of equity divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. 214 He et al. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833- 2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. 4.4.4. Additional analysis Al-Tuwaijri et al. (2004) used an OLS procedure and found that the results differed notably from those of 3SLS. They argued that this was evidence of the importance of controlling for endogeneity and that this validated the appropriateness of a joint- estimation research design. Thus, we also employed the OLS approach; the results are reported in Table 9. The results using OLS estimation were significantly differ- ent from those observed using 3SLS. The adjusted system R was reduced from 0.763 (0.773) in Table 5 (3SLS estimation) to 0.610 (0.599) in Table 9 (OLS esti- mation), and the correlations between carbon performance (CP) and carbon disclo- sure (CD or CD ) were no longer significant. Moreover, the correlation between i,t i,t–1 the cost of capital and carbon disclosure (CD ) was not significant in the system without HICP and CD*HICP, and the levels of significance of some control vari- ables, such as FIN, LEV, SIZE, and LITIGATION in equation (2) were changed. These results suggest that a joint-estimation research design has provided more robust and consistent findings. 5. Conclusions and limitations This study investigated the relationships between carbon disclosure, carbon perfor- mance, and the cost of capital. Our research model specification is consistent with the argument of Ullmann (1985) that the execution of corporate responsibility is determined by management’s (unobservable) overall strategy. Thus, these constructs might be endogenous. We used a simultaneous equation research design to signifi- cantly improve our analyses of the relationships among carbon performance, carbon disclosure, and the cost of capital versus that obtained by independently estimated OLS models (Al-Tuwaijri et al., 2004). We found that carbon disclosure was nega- tively associated with the cost of capital and that this negative relationship largely took place in firms with poorer carbon performance. We conjecture that this may be owing to the inadequate disclosure of good carbon performers. Consistent with this explanation, we found that disclosure of good carbon performers was significantly lower than that of poor performers. In addition, following the example of Dhaliwal et al. (2011), we also employed a lead-lag approach and documented a negative relationship between past carbon disclosure and carbon performance. This association is consistent with the notion that a firm may present fuller carbon information in advance to avoid future punishment caused by withholding carbon information, if poor carbon performance is expected in the future. The negative relationship in dis- closure between good and poor performers is consistent with legitimacy theory. Because they are bound by social contracts, poor carbon performers are willing to increase disclosure in return for approval of their objectives and other rewards, such as a lower cost of capital, and this ultimately helps assure the continued existence of these firms. China Journal of Accounting Studies 215 Table 9. OLS regression results coefficients (t-statistics) Dependent variables Dependent variables Independent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t ** CD –0.0002 –0.001 (–1.115) (–2.350) CD –0.001 –0.001 t–1 (–1.291) (–1.291) CP –10.112 –10.112 (–1.151) (–1.151) ** HICP –0.047 (–2.183) * ** CD HICP 0.001 t t (2.309) *** *** BETA 0.023 0.022 (4.211) (4.024) FD –0.020 1.348 –0.019 1.348 (–1.333) (0.186) (–1.173) (0.186) ** ** FIN 22.949 –0.056 22.949 –0.056 (2.172) (–0.578) (2.172) (–0.578) TOBINQ –1.257 0.014 –1.257 0.014 (–0.538) (0.554) (–0.538) (0.554) ** ** LEV 12.724 0.238 12.724 0.238 (1.429) (2.385) (1.429) (2.385) ** ** *** ** SIZE –0.006 3.079 0.001 –0.006 3.079 0.001 (–2.347) (2.544) (0.076) (–2.638) (2.544) (0.076) MB –0.001 –0.005 –0.001 –0.005 (–1.372) (–1.011) (–1.427) (–1.011) LIQUIDITY –0.858 –0.858 (–0.939) (–0.939) ROA 17.633 0.229 17.633 0.229 (0.524) (0.779) (0.524) (0.779) *** INTENSITY 0.013 –3.349 –0.139 0.188 –3.349 –0.139 (0.625) (–0.337) (–1.194) (6.190) (–0.337) (–1.194) LITIGATION 0.283 –0.038 0.283 –0.038 (0.084) (–1.288) (0.084) (–1.288) *** _cons 0.147 26.125 0.000 0.000 26.125 0.000 Industry indicators Yes Yes Yes Yes Yes Yes Adjusted system R 0.599 0.610 * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, respectively. n=181. All continuous variables are winsorized at the 1st and 99th percentiles. Variable defi- nitions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s volun- tary carbon disclosure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon perfor- mance, measured as the inverse of total carbon emissions per million dollars of sales turnover (net); it was also used in Clarkson et al. (2008). HICP is indicator variable that equals 1 if the firm’sCPin year t is higher than the sample median, and 0 otherwise. BETA is market-model beta calculated from the month CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated based on the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, defined as the market value of equity divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total t 216 He et al. assets at the end of year t. INTENSITY is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833- 2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. These results highlight the importance of carbon disclosure for market participants and suggest that carbon disclosure is an important part of the process of fulfilling stake- holders’ demand for environmental accountability. This applies to all firms regardless of their carbon performance records. Like all cross-sectional studies, limitations apply to the interpretation of our results regarding whether the time period examined (2009–2010) is representative and whether the observed relationships among the variables of interest are relatively stable. For example, our sample was drawn from S&P 500 firms, which might introduce a size bias. However, because at that time CDP questionnaires were sent only to S&P 500 firms in the United States, we cannot address this issue. Whereas our results may be generalized for large firms, it would be overreaching to infer that small firms may behave similarly. In addition, this study used the PEG model of Easton (2004) to estimate the cost of capital. This model is applied only to those firms with positive expected earnings growth, which may lead to some self-selection bias, although Botosan and Plumlee (2005) found that PEG estimates were consis- tently and predictably related to risk. Finally, because our finding of a significant association between carbon disclosure and the cost of capital implies value relevance of carbon disclosure to this measure, further research might consider using other proxies for economic performance, such as market return, to determine the perceived usefulness of carbon information. 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Carbon disclosure, carbon performance, and cost of capital

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China Journal of Accounting Studies, 2013 Vol. 1, Nos. 3–4, 190–220, http://dx.doi.org/10.1080/21697221.2014.855976 a b a Yu He *, Qingliang Tang and Kaitian Wang a b School of Accounting, Nanjing University of Finance and Economics, China; School of Business, University of Western Sydney, Australia More and more firms are voluntarily disclosing carbon information as a response to the challenge of climate change. This research investigated the interactions among carbon disclosure, carbon performance, and the cost of capital. Because unobservable overall strategic decisions by management affect each of these outcomes and phenomena, we used a simultaneous equations model to analyse our data. We used data from S&P 500 firms that participated in the Carbon Disclosure Project (CDP) in 2010. We found that the cost of capital is negatively associated with carbon disclosure, which is consistent with voluntary disclosure theory. This relationship is weaker for firms with good carbon performance. In addition, there is an inverse relationship between carbon disclosure and carbon performance, which is consistent with legitimacy theory. Our results suggest that voluntary carbon disclosure is a rational choice that firms make to reduce the pressure exerted by legitimacy threats and to lower the cost of capital. Keywords: carbon disclosure; carbon performance; cost of capital; simultaneous equations 1. Introduction Corporate responses to climate change have shifted dramatically over the past two decades (Kolk, Levy, & Pinkse, 2008). Until the mid-1990s, North American firms seldom talked about the topic. Nevertheless, a few firms in sectors related to fossil fuels perceived the prospect of regulations of greenhouse gas (GHG) emissions as a substan- tial threat. New industry groups were created, such as the Global Climate Coalition and the Climate Council, which spared no effort in preventing the international community from imposing caps on GHG emissions and played a major role in preventing the United States from joining the Kyoto Protocol (Kolk et al., 2008; Levy & Egan, 2003). However, more recently, business has tended to converge on a more constructive stance that views climate change as an opportunity rather than a burden (Margolick & Russell, 2004). Financial markets have started to reward companies that are moving ahead on climate change, while those lagging behind are assigned more risk (Cogan, 2006; Kolk et al., 2008). Investors and environmental non-governmental organizations (NGOs) are pushing companies to disclose information related to their GHG emissions, since carbon disclosure provides information that is crucial to an accurate valuation of assets. NGOs can also use the information to pressure firms into improving carbon performance (O’Dwyer, 2005). Several initiatives have emerged that attempt to leverage the influence of institutional investors to create demand for carbon disclosure as an *Corresponding author. Email: yu.he@njue.edu.cn Paper accepted by Kangtao Ye. © 2013 Accounting Society of China China Journal of Accounting Studies 191 adjunct to conventional financial systems. One of the most prominent is the Carbon Disclosure Project (CDP). CDP is an independent and not-for-profit organization based in the United King- dom that addresses the climate change concerns of institutional investors (Tran, Oka- for, & Herremans, 2011). The CDP represents 534 institutional investors with more than US$64 trillion in assets under management, and it can be seen as a secondary stakeholder that has facilitated collaborative engagement to increase corporate account- ability in relation to climate change (Arenas, Lozano, & Albareda, 2009). By means of a standard questionnaire, the CDP collects climate change data on GHG emissions, carbon risks and opportunities, and the actions that companies are taking to reduce emissions. In 2010, CDP sent this questionnaire to more than 4700 of the world’s larg- est corporations, including S&P 500 firms. Some 70% (350) of S&P 500 firms partici- pated in the CDP in 2010, an increase from 66% (332) in 2009, 63% (314) in 2008, and 56% (280) in 2007 (PwC & CDP, 2010). Overall, this activity sends an important message to investors from companies that climate change is an important business concern. However, the rapid increase in participation in the CDP naturally raises ques- tions among researchers: what are the rationales behind this type of voluntary carbon disclosure? What benefits do firms gain by spending resources on compiling and pub- lishing these standalone reports? A number of factors potentially provide answers to these questions, such as the pressure on businesses to establish and comply with environmental and social norms and standards (Cormier, Magnan, & Van Velthoven, 2005). In this research, we examined whether carbon disclosure is associated with a reduction in the cost of capital. The cost of capital is a critical issue in a firm’s financing and general oper- ating decisions (Dhaliwal, Li, Tsang, & Yang, 2011). Corporate executives appear to believe that voluntary disclosure can reduce the cost of capital (Graham, harvey, & Rajgopal, 2005), and there is a long-standing interest among academics in the rela- tionship between disclosure and the cost of capital (Botosan, 1997; Botosan & Plumlee, 2002; Dhaliwal et al., 2011; Diamond & Verrecchia, 1991; Francis, Nanda, & Olsson, 2008; Leuz & Verrecchia, 2000; Richardson & Welker, 2001). While these investigations have advanced our knowledge, no study has yet attempted to examine carbon disclosure, carbon performance, and the cost of capital within a sin- gle inclusive model. Ullmann (1985) posited that management implements policies and decisions that simultaneously affect the firm’s environmental disclosure, environ- mental performance, and economic performance. Al-Tuwaijri, Christensen, and Hughes (2004) argued that if these corporate functions are endogenously determined, then piecemeal ordinary least squares (OLS) estimation of pairwise relationships among these three functions will produce biased and inconsistent results. They per- formed a Hausman (1978) test and rejected their null hypothesis of no endogeneity among these three variables. Thus, we investigated collectively the relationships among carbon disclosure, car- bon performance, and the cost of capital. We employed a sample of US S&P 500 cor- porations that present their CDP reports on the CDP website. Our analyses showed that the cost of capital is significantly and negatively associated with carbon disclosure. However, the negative relationship resides largely in firms with poor carbon perfor- mance. In addition, we documented a negative relationship between prior disclosure and contemporaneous emission reduction, suggesting that poor carbon performers tend to present (rather than withhold) carbon information in advance in attempts to mitigate any future negative impacts on the market. Overall, we observed that a potential reduc- 192 He et al. tion in the cost of capital motivates firms to present CDP reports, and this is related to a firm’s long-term development strategies and performance sustainability. This study is the first to use an innovative approach to examine the relationships among carbon disclosure, carbon performance, and the cost of capital. Here, we extend the traditional research on voluntary disclosure from the narrow focus of financial disclosure to nonfinancial disclosure, i.e. carbon disclosure. This research has made the following specific contributions. First, we focused on carbon disclo- sure and performance rather than social responsibility (Dhaliwal et al., 2011)or environmental reporting (Plumlee, Brown, & Marshall, 2008). Carbon study is a new area of research, and our findings on carbon disclosure and performance are different from findings on environmental disclosure. For example, we showed that carbon disclosure is broader than environmental disclosure. Carbon risks are more pervasive; firms must adopt a more comprehensive strategy and actions to deal with climate change. All firms emit carbon, while many firms do not have environmental issues. In addition, most environmental disclosure is nondiscretionary, for example, toxic emissions and chemical waste, whereas carbon disclosure is largely voluntary. For all these reasons, the nature of the relationship between carbon information and market reactions may be different from that documented in prior studies. Second, the measure of carbon performance used in our study was innovative compared with previous studies. Our measurement was more comprehensive than other environmen- tal performance measures, since we used sector- and firm-specific data such as waste, toxic chemical emissions, etc. Third, our data were taken from the CDP reports, rather than from environmental information included in annual reports, which are often biased by self-selection (Tang & Luo, 2013). CDP reports are designed by an NGO, and its format and contents are accepted and adopted by more than 4000 large global firms. Such information is relatively more consistent (Luo, Lan, & Tang, 2012). Fourth, this research introduced an empirical proxy for carbon disclosure. In contrast to prior studies, which often used self-constructed indices (Plumlee et al., 2008) or indicator variables (e.g. whether or not a report was published) (Dhaliwal et al., 2011), we used the carbon disclosure score index from the CDP, which has been widely presented on many financial websites (e.g., http://www.google.com/finance#). This index is more comprehensive than others and covers many aspects of relevant information, such as carbon governance mecha- nisms, carbon risks and opportunities, carbon strategy and targets, carbon actions and processes, carbon emissions and reporting, carbon emission trading and offset- ting, carbon communications and engagement, and more (Tang & Luo, 2013; Luo et al., 2012). Finally, our methodologies differed from previous carbon accounting research. We conducted a joint estimation using three-stage least squares (3SLS) simultaneous equations models to deal with endogeneity. In addition, carbon disclo- sure and performance are the focus of legislation that is either proposed or has been implemented by many governments and rule makers. For example, carbon account- ing standards, external assurance/verification, carbon disclosure, and carbon reporting are all subject to future regulations. Thus, our results are potentially useful for capi- tal market participants and government bodies who are concerned about climate change-related issues and activities. The remainder of this paper proceeds as follows: Section 2 develops our hypothe- ses, Section 3 describes our sample and methodology, Section 4 presents the empirical results, and the final section summarizes and concludes. China Journal of Accounting Studies 193 2. Literature review and hypotheses development The existing literature in environmental accounting research can be categorized into three broad groups (Clarkson, Li, Richardson, & Vasvari, 2008). The first group found that environmental disclosure is relevant to firm valuation, the second investigated the determinants of discretionary environmental disclosure, and the third line of studies observed mixed results regarding the relationship between environmental disclosure and environmental performance. 2.1. The relationship between carbon disclosure and the cost of capital The consensus in the literature appears to be that a negative relationship exists between the quality of financial disclosure and the cost of capital (Botosan, 1997; Core, 2001; Diamond & Verrecchia, 1991; Healy & Palepu, 2001; Leuz & Wysocki, 2008). Greater financial disclosure increases investors’ awareness of a firm’s exis- tence and enlarges its investor base, which improves risk-sharing and reduces the cost of capital (Merton, 1987). In addition, expanded disclosure can narrow informa- tion asymmetry among investors or between managers and investors. Some informa- tion-disadvantaged investors are less willing to trade if disclosure is inadequate. The resultant illiquidity increases the bid-ask spread and transaction costs (Verrecchia, 2001), leading to a higher required rate of return or cost of capital (Amihud & Mendelson, 1986). In a traditional capital market setting, Lambert, Leuz, and Ver- recchia (2007) investigated the direct and indirect effects of disclosure quality on the cost of capital. They found that the direct effect occurs because higher-quality disclosures affect the firm’s assessed covariance with other firms’ cash flows, which are non-diversifiable. The direct effect on the cost of capital can be attributed to a reduction in the estimation of information risk (Lambert et al., 2007; Diamond & Verrecchia, 1991; Leuz & Verrecchia, 2000). The indirect effect occurs because higher-quality disclosures affect a firm’s real decisions, which likely changes the firm’s ratio of expected future cash flows to covariance of these cash flows with the sum of all the cash flows in the market. The sign of this indirect effect on the cost of capital is uncertain. Lambert et al. (2007) sought to determine the conditions under which an increase in information quality leads to an unambiguous decline in the cost of capital. They found that the net effect of increased disclosures on the cost of capital is a function of the strength of the relationship and whether the indi- rect effect is positive or negative (as the direct effect is unambiguously negative). These mechanisms can be extended to non-financial disclosure, as long as the information concerned is value relevant (Sinkin, Wright, & Burnett, 2008). Richardson, Welker, and Hutchinson (1999) presented a model for the influence of environmental behaviours and the related disclosures on a firm’s value through net present value assessments of projects, including expected future regulatory costs and market effects. Richardson and Welker (2001) argued that there may be a direct influence of environmen- tal disclosure on the cost of equity capital, either through affecting investor preferences or through reduced information asymmetry or estimation risk. Investor preference effects arise if investors are willing to accept a lower rate of return on investments from an orga- nization that supports an environmental cause for which some investors have an affinity. In addition, carbon disclosures may be seen as a firm’s credible commitment to environ- mental issues in their long-term strategic and production systems (Plumlee et al., 2008). Finally, higher-quality environmental disclosures, which have been linked to increased 194 He et al. environmental activities, may affect regulators’ decisions, thus influencing costs for firms and for their competitors (Decker, 2002; Decker & Pope, 2005; Salop & Scheffman, 1983). Clarkson, Fang, and Li (2011a) investigated the relevance of environmental disclosures and found that voluntary environmental disclosures enhanced firm value. Based on this literature, we tested the following hypothesis (stated in alternative form). H1: There is an inverse relationship between the level of carbon disclosure and the cost of capital. According to legitimacy theory, carbon disclosure is a function of social and political pressures. Firms with poor carbon performance face greater pressures and have greater incentives to disclose environmental information in an attempt to change public perception. Patten (1992) noted that, whereas economic legitimacy is monitored by the market, social legitimacy is monitored by the public policy process. Disclosure is one method available to firms to enhance their legitimacy, and it is often easier to manage the firm’s image than to make actual changes to performance. Therefore, higher polluting firms tend to disclose a greater quantity of information (Clarkson, Overell, & Chapple, 2011c), whereas the level of carbon disclosure by better performing firms is probably lower. This is because these firms face a smaller legitimacy problem, and stakeholders presumably pay less attention to these firms. Thus, investors are probably less sensitive to the carbon disclosure of good performers. Hence, the inverse relation- ship between the level of carbon disclosure and the cost of capital is predicted to be weaker for firms with higher carbon performance. H1a: The inverse relationship between the level of carbon disclosure and the cost of capital is weaker for firms with good carbon performance. 2.2. The relationship between carbon disclosure and carbon performance There are two theories regarding the relationship between carbon disclosure and carbon performance in the literature. The first one is voluntary disclosure theory, which suggests that companies have incentives to disclose ‘good news’ to differentiate themselves from companies with ‘bad news’ to avoid the adverse selection problem (Dye, 1985; Verrecchia, 1983). Bewley and Li (2000) and Li, Richardson, and Thornton (1997) have argued that true environmental performance is not directly observable to investors; thus, companies with superior performance tend to make direct voluntary disclosures that cannot be easily matched by poor performers (Clarkson et al., 2008). Hence, this theory predicts a positive association between environmental performance and the level of discretionary environmental disclosure. The other group of theories is known as legitimacy theories, and this group argues that companies with threatened legitimacy are likely to make self-serving disclosures, referred to as ‘legitimization’ (Adams, 2004; Gray, Kouhy, & Lavers, 1995; Hughes, Anderson, & Golden, 2001). Researchers argue that firms vulnerable to certain types of criticism will make voluntary disclosures to deflect or nullify suspicion or doubt with regard to that area of potential criticism. Those organizations whose social legitimacy is threatened tend to increase disclosures to (1) educate and inform relevant members of the public about (actual) changes in their performance; (2) change perceptions about their performance; (3) deflect attention from the issue of concern by highlighting other accomplishments; and (4) attempt to change public expectations of their performance (Gray et al., 1995; China Journal of Accounting Studies 195 Lindblom, 1994). Therefore, legitimacy theories predict a negative association, and the empirical evidence in existing literature is largely mixed (Tang & Luo, 2011). For example, Wiseman (1982) examined a sample of 26 firms in environmentally sensitive industries using an indexing procedure to measure the extent of disclosure of 18 environmental items and found that no relationship existed between environmental disclosure and performance. Freedman and Wasley (1990) used the same indexing procedure for 50 US companies and conducted Spearman rank order correlation tests. They found that neither annual reports nor environmental disclosures (as communicated via the Securities and Exchange Commission’s 10-K report) were significantly associ- ated with actual pollution control performance. Ingram and Frazier (1980) found that environmental disclosures did not relate strongly to environmental performance, as measured by CEP indices. However, Bewley and Li (2000), who adopted the same rat- ing scheme used by Wiseman (1982), found a negative association. They used a cross- sectional sample of Canadian manufacturing firms and documented that firms with more news media coverage of their environmental exposure, higher pollution propen- sity, and more political exposure were more likely to disclose general environmental information. Hughes et al. (2001) investigated whether disclosures differed between firms who were rated good, mixed, or poor in their environmental activities by the CEP and whether these differences in disclosure could be used to determine actual environmental performance levels. The study focused on 51 US manufacturing firms for 1992 and 1993 and found that the poor performers made the most disclosures. Patten (2002) identified three issues with previous studies: (1) failure to control for other factors; (2) inadequate sample selection; and (3) inadequate measures of environ- mental performance using CEP indices. Thus, Patten used Toxics Release Inventory data, normalized by sales, as a proxy for environmental performance and examined 131 US companies. The results indicated that there was a significant negative relationship. Campbell (2003) examined environmental disclosures from the annual reports of a sample of ten UK FTSE 100 Index companies in five sectors between 1974 and 2000. The study provided evidence for legitimacy theory in the United Kingdom as an expli- cator of variability in environmental disclosure, adding to the most notable previous studies from Australia (Deegan & Gordon, 1996; Deegan & Rankin, 1996;O’Donovan, 2002) and North America (Buhr, 1998; Patten, 1992). Al-Tuwaijri et al. (2004) explored the relationships among environmental disclo- sure, environmental performance, and economic performance using a simultaneous equations approach. The study adopted a similar disclosure-scoring methodology based on content analysis that incorporated disclosures of four key environmental indicators: (1) the total amount of toxic waste generated and transferred or recycled; (2) financial penalties resulting from violations of ten federal environmental laws; (3) Potential Responsible Party designation for the clean-up responsibility of hazardous waste sites; and (4) the occurrence of reported oil and chemical spills. These disclosures were based on information reported on Form 10-K and are largely non-discretionary. The study found a positive association between environmental performance and disclosure. More recently, Clarkson et al. (2008) focused on purely voluntary disclosure media, such as corporate Internet websites and stand-alone environmental reports. In addition, using a content analysis index, the study found that environmental performance was positively related to the level of discretionary disclosures in environmental and social reports or related web disclosures. However, the authors showed that firms whose envi- ronmental legitimacy is threatened may make more ‘soft claims’ regarding their com- 196 He et al. mitment to the environment. This result is predicted by legitimacy theory but cannot be explained by voluntary (or economic) disclosure theories. In a more recent study, Clarkson et al. (2011c) examined how both the level and the nature of environmental information disclosed by Australian firms related to their underlying environmental per- formance and found consistently that firms with a higher propensity toward pollution disclosed more environmental information. In summary, existing studies have shown mixed results. One reason for the inconclusive findings is the use of different indices developed by the authors to measure the chosen factors for environmental disclosure, and these different indices may be inconsistent with each other since they often include different kinds of environ- mental information. Another possibility is that these studies did not adequately address endogeneity issues. Thus, we used the CDP carbon disclosure index (CDI) and a joint- estimation approach to mitigate these concerns. Since voluntary disclosure theories and legitimacy theories have provided opposing predictions, we tested the following two competing hypotheses (stated in the alternative form). H2a: Carbon performance is positively associated with the level of discretionary carbon disclosure, which is consistent with voluntary disclosure theories. H2b: Carbon performance is negatively related to the level of discretionary carbon disclosure, which is consistent with legitimacy theories. 3. Sample and methodology 3.1. Sample description This study used a cross-sectional research design. Sample firms must meet all the fol- lowing criteria. That is, the firm: (1) was in the list of both 2009 and 2010 CDP reports and in the S&P 500 2009 and 2010 reports; (2) had a carbon disclosure score and carbon emission data for 2010; (3) did not experience takeovers, mergers, and/or acqui- sitions in 2010 and 2009; (4) had a cost of capital that could be computed; (5) and had complete financial data reported in S&P’s Compustat database and the Center for Research in Security Prices (CRSP) database. Selection processes were conducted step by step. Of the 2010 S&P 500, 350 firms completed the CDP questionnaire, and only 240 firms met selection criteria (1) through (3). The cost of capital of 28 firms could not be computed, and 21 firms do not have complete Compustat and CRSP data. The final sample therefore included 181 disclosing firms that met all of the selection criteria. Table 1 shows the industry distribution of all S&P 500 and sample firms. 3.2. Empirical models and variable definitions Ullmann (1985) conducted a meta-analysis of prior empirical studies that investigated the relationships among social disclosure, social performance, and economic perfor- mance. He noted that the mixed results in prior empirical studies might be caused by incomplete specification of the empirical models measuring the statistical significance of pairwise association. Al-Tuwaijri et al. (2004) argued that this body of empirical environmental research may have produced ambiguous results by failing to recognize the potential for endogenous relationships among environmental disclosure, environ- mental performance, and economic performance. Thus, they sought to detect the pres- ence of endogenous relationships among these three constructs by using a Hausman China Journal of Accounting Studies 197 Table 1. Sample distribution by industry. Industries All firms (no.) % Firms responding (no.) % Sample firms (no.) % Consumer Discretionary 80 16 49 14 18 10 Consumer staples 41 8 37 11 26 14 Energy 39 8 23 7 15 8 Financials 78 16 51 15 10 6 Health care 52 10 37 11 19 10 Industrials 58 12 37 11 24 13 Information Technology 77 15 56 16 33 18 Materials 32 6 25 7 18 10 Telecommunications 9 2 6 2 3 2 Utilities 34 7 29 8 15 8 Total 500 100 350 100 181 100 (1978) test. Similarly, we estimated the relationships among carbon disclosure, carbon performance, and the cost of capital by employing a system of simultaneous equations, defined in the following structural form: COST ¼ CD þ BETA þ FD þ SIZE þ MB þ INTENSITY þ IND þ e i;t i;t i;t i;t i;t i;t i;t i;t i;t (1) CD ¼ CP þ FD þ FIN þ TOBINQ þ LEV þ SIZE þ LIQUIDITY i;t i;t i;t i;t i;t i;t i;t i;t (2) þ ROA þ INTENSITY þ LITIGATION þ IND þ e i;t i;t i;t i;t i;t CP ¼ CD þ FIN þ TOBINQ þ LEV þ SIZE þ MB þ ROA i;t i;t1 i;t i;t i;t i;t i;t i;t (3) þ INTENSITY þ LITIGATION þ IND þ e i;t i;t i;t i;t where COST , CD , and CP are endogenous variables and the other variables are i,t i,t i,t predetermined variables. In equation (1), COST is the implied cost of equity capital in year t estimated by the price/earnings to growth (PEG) formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is an empirical proxy for voluntary carbon disclo- sure of firm i in year t and is calculated using data from the CDP report. A CDP report presents a firm’s carbon-related activities and information. Technically, a company is assigned a score (which ranges from 0 to 5) based on the content of the information provided in the answer to a particular question in the carbon questionnaire. The final score, CD, is a percentage that is equal to the total score earned, divided by the total score available. Thus, CD increases with the level of carbon disclosure, i.e. a higher CD value for a firm suggests that its carbon emissions and carbon-related strategies and actions are more transparent and visible than firms with lower CD. A negative coeffi- cient with CD is expected, which would support H1 (that a high level of carbon disclo- sure decreases the cost of capital). Following Botosan (1997), we tested the validity of the CD score by calculating correlations between the extent of disclosure and various firm-specific variables that have been shown in prior research to be significant drivers of a firm’s level of disclo- sure. We expected that the extent of carbon disclosure would be positively associated with firm size (Botosan, 1997), financial leverage (Botosan, 1997), and capital raising (Luo et al., 2012). Table 2 presents the correlation coefficients between the extent of 198 He et al. Table 2. Correlation analysis of carbon disclosure scores and firm characteristics. Panel A: Univariate analysis SIZE LEV FIN *** ** Pearson correlation with CD 0.19 0.12 0.15 ** ** Spearman’s rho correlation with CD 0.19 0.12 0.16 Panel B: Multivariate analysis Intercept SIZE LEV FIN ** *** * ** coefficient 25.9635 3.0106 12.1731 21.6269 t-statistic 2.41 3.12 1.90 2.22 p-value 0.017 0.002 0.059 0.028 adj. R 6.89% Prob. > F 0.001 Notes: This table contains Pearson correlation and Spearman’s rho correlation coefficients between CD *** ** * (carbon disclosure score) and firm characteristics. indicate statistical significance at the 1%, 5%, and 10% levels, respectively. SIZE is the natural logarithm of the market value of equity at the end of year t. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. carbon disclosure and these firm characteristics. The findings in Table 2 reveal that firm size, financial leverage, and firms’ raising of capital ownership are positively associated with carbon disclosure level. Overall, these findings confirm the validity and reliability of the CDI. The other control variables in equation (1) are derived from prior research. Follow- ing Botosan (1997), the market model BETA, which is estimated using CRSP monthly data with a minimum of 30 out of 60 months’ worth of returns (Botosan and Plumlee, 2005), was included to control for systematic risk. Francis et al. (2008) found that earn- ings quality influenced the relationship between voluntary disclosure and the cost of capital. Hence, we included earnings quality (FD) in equation (1). FD is estimated as the absolute value of abnormal accruals, estimated based on the modified Jones model. Fama and French (1992) found that expected returns were negatively associated with firm size and positively associated with the book-to-market ratio. Thus, we included firm size (SIZE) and the market-to-book ratio (MB) in equation (1). SIZE is the natural logarithm of the market value of common equity at the end of year t. MB is the mar- ket-to-book ratio, defined as the market value of equity, divided by the book value of equity at the end of year t. Firms in GHG-intensive sectors (such as utilities, energy, and materials ) have more carbon emissions and a higher propensity toward pollution (Bewley and Li, 2000; Clarkson et al., 2008) as a result of their inherent operation pro- cesses and are likely to be the targets of a wide variety of climate change regulations on the national, regional, and industry levels. Such environmental legislation may have a financial effect and significantly increase GHG-related liabilities and costs (Stanny and Ely, 2008). Therefore, we also included the variable INTENSITY, which is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise. In all three equations, we included industry indicators to control for poten- tial industry effects. In equation (2), CD has the same definition as in equation (1). Following previ- ous literature (Clarkson, Li, Richardson, & Vasvari, 2011b), we used CP as a proxy for carbon performance, calculated as the inverse of total carbon emission per million dollars of sales turnover (net). Thus, CP is a measure of carbon efficiency and increases in carbon performance. A positive coefficient on CP would support H2a, China Journal of Accounting Studies 199 and a negative coefficient on CP would support H2b. Francis et al. (2008) found that firms with good earnings quality provide more expansive voluntary disclosures than firms with poor earnings quality. Thus, we included earnings quality (FD) in equation (2). Frankel, McNichols, and Wilson (1995) argued that firms raising capital in the public market have a greater propensity to make voluntary disclosures. We controlled for a firm’s financing activities (FIN) by assessing the amount of debt or equity capi- tal raised by the firm during year t, scaled by total assets at the end of year t. Fol- lowing Dhaliwal et al. (2011), we also controlled for growth opportunities (TOBINQ), because firms in an expansionary period are more financially constrained and have fewer resources for improving carbon performance and disclosure. On the other hand, growth firms also tend to have higher levels of information asymmetry, which may prompt managers to provide additional disclosures to attract potential investors (Dhal- iwal et al., 2011). Thus, the net effect of TOBINQ on carbon disclosure is unknown ex ante. TOBINQ is defined as the market value of common equity plus the book value of preferred stock, book value of long-term debt, and current liabilities, scaled by the book value of total assets. Since debt holders demand greater disclosure so that they may monitor the firm’s financial and operation activities (Leftwich, Watts, & Zimmerman, 1981), we included the debt ratio (LEV) in equation (2). LEV is the ratio of total debt divided by total assets. We also controlled for firm size (SIZE), because size captures various factors motivating firms to disclose carbon information, such as public pressure or financial resources (Lang & Lundholm, 1993). In addition, there are some incentives for managers to enhance the liquidity of their firm’s stock via improved disclosure (Dhaliwal et al., 2011). Therefore, we included the effect of liquidity (LIQUIDITY) in equation (2). LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. Prior empirical studies have explored the relationship between firms’ profitability and their environmental disclosure (Aerts, Cormier, & Magnan, 2008; Bewley & Li, 2000; Clarkson et al., 2008; Magness, 2006). Thus, we controlled for return on assets (ROA) in equation (2). ROA is measured as the ratio of income before extraordinary items over total assets at the end of year t.A firm that operates in a GHG-intensive industry may have incentives to voluntarily disclose carbon infor- mation to prepare for possible future legislation to avoid the retroactive costs of regu- latory compliance (Al-Tuwaijri et al., 2004). Thus, we also included INTENSITY in equation (2). Skinner (1997) contended that firms facing a higher level of litigation risk (LITIGATION) have incentives to make voluntary disclosure to pre-empt potential lawsuits. Following Dhaliwal et al. (2011), we controlled for LITIGATION, which is an indicator variable that equals 1 if the firm operates in a high-litigation industry (Standard Industrial Classification [SIC] codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise (Francis, Philbrick, & Schipper, 1994; Mat- sumoto, 2002). Following Al-Tuwaijri et al. (2004), we included previous disclosure (CD )in i,t–1 equation (3). A firm’s prior carbon disclosures may represent a lower bound for current carbon performance. And investors’ expectations of carbon performance are condi- tioned on information provided by prior carbon disclosures (Al-Tuwaijri et al., 2004). If a firm expects poor carbon performance in the future, it may present full carbon information in advance to avoid ‘punishment’ in the future because it had withheld car- bon information. We expect the relationship between CD and CP to be signifi- i,t–1 i,t cantly negative. Following Clarkson et al. (2011b) and Luo et al. (2012), we identified proxies for both a firm’s financial resources and its management capabilities to examine 200 He et al. the determinants of carbon performance. We captured financial resources using profit- ability (ROA), financing activities (FIN), and debt ratio (LEV) and used growth oppor- tunities (TOBINQ), firm size (SIZE), and market-to-book ratio (MB) to serve as proxies for unobservable management talent or capability. Following Dhaliwal et al. (2011)and Luo et al. (2012), we also included the variables INTENSITY and LITIGATION to control for the effect of potential regulatory risks, physical risks, and other risks. All other variables are as defined earlier. Next, we considered the impact of carbon performance on the association between carbon disclosure and the cost of capital. Although firms may be motivated by a possi- ble reduction in the cost of equity capital when making decisions regarding carbon dis- closure, from the perspective of investors, carbon disclosure per se may not necessarily warrant a lower cost of equity capital (Dhaliwal et al., 2011). This is because corporate managers in poor-performing firms could also attempt to disclose more to achieve, restore, or maintain legitimacy (Laine, 2009; Suchman, 1995), and such disclosure obviously would not indicate good carbon performance (Bebbington, Larrinaga, & Moneva, 2008; Lindblom, 1993). A firm is a citizen of society and bound by social contracts. Thus, a firm is expected to carry out various activities considered desirable by the community in return for approval of its objectives and other rewards, and this ultimately guarantees its continued existence (Milne and Patten, 2002; Suchman, 1995). If a firm’s true social or environmental performance is below expectations, it would face a legitimacy threat. In such a case, the firm might disclose some information, instead of improving its performance, in a bid to alter the perception of the public. Patten (1992) concluded that it appears that, at least for environmental disclosures, threats to a firm’s legitimacy usually entice firms to include more information on social responsibility in their annual reports. Deegan and Rankin (1996) found a positive corre- lation between prosecution by Australian state environmental protection authorities and an increase in the level of environmental disclosure. Archel, Husillos, Larrinaga, and Spence (2009) found that firms in their study used social and environmental disclosures strategically to legitimize new production processes through the manipulation of social perceptions. Thus, we augmented equation (1) by adding a measure of a firm’s relative carbon performance (HICP) as well as the interaction between CD and HICP to equa- tion (1). HICP is an indicator variable that equals 1 if the firm’s carbon performance in year t is better than the sample median and 0 otherwise. The purpose of the interaction term is to determine whether carbon performance plays a role in the relationship between carbon disclosure and the cost of capital. All the other variables in the new system of equations are as defined earlier. The following is the revised system of equa- tions: COST ¼ CD þ HICP þ CD HICP þ BETA þ FD þ SIZE þ MB i;t i;t i;t i;t i;t i;t i;t i;t i;t þ INTENSITY þ IND þ e ð1’Þ i;t i;t i;t CD ¼ CP þ FD þ FIN þ TOBINQ þ LEV þ SIZE þ LIQUIDITY i;t i;t i;t i;t i;t i;t i;t i;t þ ROA þ INTENSITY þ LITIGATION þ IND þ e ð2’Þ i;t i;t i;t i;t i;t CP ¼ CD þ FIN þ TOBINQ þ LEV þ SIZE þ MB þ ROA i;t i;t1 i;t i;t i;t i;t i;t i;t (3’) þ INTENSITY þ LITIGATION þ IND þ e i;t i;t i;t i;t China Journal of Accounting Studies 201 4. Empirical results 4.1. Descriptive statistics Table 3 provides descriptive statistics and results of t-tests for comparison of mean values of cost of capital. Table 4 depicts both the parametric and non-parametric, pairwise correlation coefficients for the variables used in our tests. Table 3 shows that the mean cost of capital of all sample firms was 9.9%. When classified by the level of carbon disclosure, the cost of capital of the top 50% of firms (in terms of disclosure) (9.6%) was lower, although insignificantly so (t=1.03), than the bottom 50% of firms (10.2%), and that of the top 25% of firms (9%) was significantly lower (t=2.12; p<0.05) than the lowest 25% of firms (10.4%) (Table 3, Line 1). This difference was also reflected in a significantly negative correlation coefficient for COST versus CD of –0.16 (Table 4), providing initial support for H1. The mean value for CD was 64.16%, and there was a significant difference in CD between the top 50% and the bottom 50% of the sample firms (t=–18.05; p<0.000) and between the top 25% and bottom 25% of firms (t=–25.65, p<0.000; Table 3, line 2). This result suggests that the firms in the sample had different incentives and adopted different strategies for carbon disclosure. The mean value for CP was 0.07 (Table 3, line 3); this indicates that, on average, every 1 tonne of CO generated 0.07 million dollars of sales in the sample firms. However, there were significant differences in carbon performance in different industries, with the lowest mean CP (0.0009) seen in the utilities industry and the highest mean CP (0.32) seen in the financial industry. Because CP is a measure of carbon efficiency, the results (Table 3, line 3) show that firms in the top 50% in terms of disclosure tended to be less car- bon efficient (CP=0.055) than the bottom 50% of firms (CP=0.084) (top 25% CP=0.44, bottom 25% CP=0.099). Table 4 (column 3 and 5) also presents a nega- tive relationship between carbon disclosure and carbon performance. This evidence suggests that firms with poor carbon performance disclosed more, which is consis- tent with the legitimacy theory. However, the negative correlations in both Tables 3 and 4 were not statistically significant (p<0.15). The t-test results presented in Table 3 show that the relationships of CP, BETA, FD, TOBINQ, LEV, MB, and ROA with CD were not significant, and FIN (t=−2.24; p<0.05) and SIZE (t=−2.84; p<0.05) were significantly related to CD. This suggests that larger firms tended to disclose more, and firms raising capital also had a greater propensity to make voluntary carbon disclosures, which would reduce the cost of capi- tal. Note that LIQUIDITY was negatively associated with disclosure (t=1.42; and t=2.19; p<0.05), suggesting that managers with low-liquidity firms had some incentive to improve disclosure to enhance liquidity. This is consistent the with the significant negative Spearman and Pearson correlation coefficients between CD and LIQUIDITY shown in Table 4 ( p<0.10). The other results in Table 4 were generally consistent with our predictions or prior studies. For example, the cost of capital (COST) was significantly and positively associated with systematic risk (BETA) (Botosan and Plumlee, 2005; Francis et al., 2008) and significantly and negatively related to firm size (SIZE), earnings quality (FD), and market-to-book ratio (MB) (e.g. Fama and French, 1992; Francis et al., 2008). The negative coefficient of carbon performance (CP) and INTENSITY (p<0.01) suggests that carbon efficiency of firms in a GHG-intensive industry was, on average, poorer than that of firms in a low carbon-intensive industry. 202 He et al. Table 3. Summary statistics and results of T-test for mean comparisons (classified by the level of carbon disclosure). CD (top 50%=1, bottom 50%=0) CD (top 25%=1, bottom 25%=0) t t CD =1 CD =0 t-value CD =1 CD =0 t-value t t t t Full Sample (n=88) (n=93) (difference) (n=48) (n=46) (difference) COST 0.099 0.096 0.102 1.03 0.090 0.104 2.12 CD 64.16 76.77 52.23 –18.05 82.94 44.58 –25.65 CD 57.21 67.56 47.42 –9.00 71.83 40.26 –10.32 t–1 CP 0.070 0.055 0.084 1.21 0.044 0.099 1.51 BETA 1.098 1.100 1.097 –0.04 0.967 1.078 1.02 FD –0.158 –0.168 –0.148 0.65 –0.157 –0.138 0.46 FIN 0.072 0.091 0.054 –2.24 0.086 0.046 –1.76 TOBINQ 1.591 1.636 1.549 –0.77 1.710 1.527 –1.12 LEV 0.597 0.610 0.586 –0.92 0.614 0.560 –1.52 SIZE 9.755 9.887 9.631 –1.49 10.125 9.435 –2.84 MB 3.300 3.570 3.043 –1.10 3.789 3.090 –0.99 LIQUIDITY 2.470 2.305 2.626 1.42 2.061 2.677 2.19 ROA 0.066 0.070 0.062 –1.04 0.075 0.063 –1.06 INTENSITY The number of low (high) INTENSITY firms is 133 (48). t t LITIGATION The number of low (high) LITIGATION firms is 134 (47). t t All continuous variables are winsorized at the 1st and 99th percentiles. Variable definitions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s voluntary carbon disclosure in year t presented by CDP, which is an inter- national collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon performance, measured as the inverse of total carbon emission per million dollars of sales turnover (net); it was also used in Clarkson et al. (2008). BETA is market-model beta calculated from the monthly CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated using the modified Jones model. FIN is the amount t t of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is the natural logarithm of the market value of equity at the end of year tMB is the market-to-book ratio, defined as the market value of equity divided by the book value t t of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. ROA t t is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. China Journal of Accounting Studies 203 Table 4. Spearman/Pearson correlation coefficients. COST CD CD CP BETA FD FIN TOBINQ t t t–1 t t t t t ** ** *** COST 1.00 –0.16 –0.17 0.03 0.42 –0.08 0.01 –0.12 ** *** ** CD –0.16 1.00 0.70 –0.12 –0.06 –0.05 0.16 0.01 ** *** ** CD –0.18 0.70 1.00 –0.01 –0.05 –0.01 0.17 0.10 t–1 ** *** *** CP 0.03 –0.10 –0.07 1.00 0.18 0.70 –0.03 0.22 *** ** BETA 0.42 –0.07 –0.05 0.06 1.00 0.02 –0.04 –0.15 *** FD –0.10 –0.01 0.00 0.31 0.02 1.00 –0.05 0.05 ** ** *** FIN 0.01 0.15 0.15 –0.04 –0.04 0.02 1.00 0.27 ** *** ** TOBINQ –0.17 0.05 0.10 –0.08 –0.20 0.10 0.18 1.00 *** LEV 0.03 0.12 0.07 0.09 0.08 0.03 0.09 –0.43 *** *** *** *** *** SIZE –0.20 0.19 0.25 0.05 –0.25 –0.03 –0.09 0.21 ** * ** *** MB –0.16 0.10 0.14 –0.06 –0.17 0.04 0.08 0.50 *** ** LIQUIDITY 0.42 –0.15 –0.09 0.01 0.56 –0.02 0.11 –0.07 *** *** *** ROA –0.24 0.08 0.11 0.00 –0.28 0.01 0.06 0.68 *** *** *** INTENSITY –0.01 0.07 0.03 –0.25 –0.12 –0.50 –0.03 –0.19 *** LITIGATION –0.01 –0.03 0.08 0.02 0.09 0.11 0.04 0.30 LEV SIZE MB LIQUIDITY ROA INTENSITY LITIGATION t t t t t t t * ** *** *** COST –0.02 –0.14 –0.16 0.34 –0.23 –0.02 0.01 ** * CD 0.12 0.19 0.06 –0.14 0.03 0.07 0.00 *** * * CD 0.07 0.21 0.13 –0.14 0.08 0.03 0.08 t–1 * ** ** *** *** CP –0.14 0.09 0.19 0.11 0.19 –0.67 0.31 ** * *** *** * BETA –0.01 –0.18 –0.14 0.53 –0.24 –0.12 0.08 *** FD –0.01 0.02 0.08 0.01 0.01 –0.56 0.12 *** FIN 0.09 0.05 0.28 0.05 0.11 0.06 –0.01 *** *** *** *** *** *** TOBINQ –0.42 0.22 0.86 –0.07 0.72 –0.21 0.29 ** *** *** LEV 1.00 –0.17 0.00 –0.07 –0.44 0.03 –0.35 ** *** *** *** SIZE –0.15 1.00 0.21 –0.43 0.32 –0.06 0.08 *** ** *** *** * MB 0.28 0.07 1.00 –0.15 0.57 –0.22 0.13 *** * *** *** LIQUIDITY –0.07 –0.39 –0.13 1.00 –0.20 –0.03 0.20 *** *** *** * ** ** ROA –0.44 0.33 0.31 –0.13 1.00 –0.18 0.16 ** *** *** INTENSITY 0.03 –0.06 –0.19 –0.04 –0.20 1.00 –0.33 *** ** ** *** LITIGATION –0.38 0.09 –0.03 0.19 0.19 –0.33 1.00 t 204 He et al. Table 4 (Continued) * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, respectively. n=181. All continuous variables are winsorized at the 1st and 99th percentiles. The Spearman (Pearson) correlations are above (below) the diagonal. Variable definitions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s voluntary carbon disclosure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon performance, measured as the inverse of total carbon emissions per million dollars of sales turnover (net); it was also used in Clarkson et al. (2008). BETA is market-model beta calculated from the monthly CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated using the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of t t preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets; SIZE is the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, defined as the market value of equity t t divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY is an indicator t t variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. China Journal of Accounting Studies 205 4.2. The endogeneity problem Al-Tuwaijri et al. (2004) argued that managers’ overall strategies likely affect carbon disclosure, carbon performance, and the cost of capital simultaneously and thus an OLS regression analysis is inappropriate. Hence, we examined the endogenous relationships among the three dependent variables (COST, CD, and CP) by employ- ing a Hausman (1978) test, and we rejected the null hypothesis of no endogeneity with respect to CP in equation (2) (t=–6.96, p<0.000). This result suggests that OLS estimators are potentially biased and inconsistent. We continued our analysis using two-stage least squares (2SLS) and 3SLS simultaneous equation models to control for endogeneity to obtain asymptotically unbiased results. We used the Haus- man (1978) specification test to compare 2SLS estimates with 3SLS estimates; the results were largely similar, but 3SLS was more efficient than 2SLS. Thus, here we report only 3SLS results. Our simultaneous estimation of the parameters using the 3SLS model incorporated the available information from all the equations. After sys- tem estimation with 3SLS, we used the procedures of the Hansen-Sargan test to report an over-identification statistic. As indicated by Davidson and MacKinnon (2004, p. 532), a Hansen-Sargan test of the over-identifying restrictions is based on the 3SLS criterion function evaluated at the 3SLS point and interval parameter esti- mates. The result shows that the Hansen-Sargan over-identification statistic was 17.899 and insignificant at the 5% level. This result confirms the validity of the instruments. 4.3. Regression analysis (three-stage least squares) Table 5 reports the results of our 3SLS simultaneous equation model. Following the example of Dhaliwal et al. (2011), we created a new variable, HICP, and an interaction term, CD*HICP, to capture the impact of carbon disclosure on the cost of capital conditional on carbon performance. We report the results from both sys- tems of equations, and each system comprises three equations: one system of equations excludes (left side of Table 5) and the other includes the variable of HICP and the interaction term CD*HICP (right side of Table 5) in equation (1). Table 5 shows, without the interaction term CD*HICP in equation (1), that the coefficient of CD was −0.0004 at the 10% level of significance (t=–1.839), sug- gesting a negative relationship between carbon disclosure and the cost of capital (COST), which supports hypothesis H1. This result is also consistent with the find- ings of Dhaliwal et al. (2011). Table 5 also shows a negative coefficient for HICP, suggesting an inverse association between carbon performance and the cost of cap- ital. Next, we examined the impact of the interaction between CD and HICP; the coefficient of CD was –0.001 at a higher level of significance (p<0.05) (t=–2.485). However, the interaction term CD*HICP was significantly positive (p<0.05). This result suggests that the negative relationship between the cost of capital and car- bon disclosure is weaker in firms with good carbon performance. This is probably because these firms disclose less information than poor performers. The result sup- ports hypothesis H1a and highlights the importance of carbon disclosure for inves- tors. It is also consistent with the legitimacy theory that firms with poor carbon performance have stronger incentives to disclose more, because these firms are more likely to have the problem of threatened legitimacy. The results of t-tests in Table 3 and regression analysis in equation (2) of Table 5 confirm this interpreta- 206 He et al. Table 5. Three-stage least squares (3SLS) regression results (R – total emission) and PEG coefficients (t-statistics). Dependent variables Dependent variables Independent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t * ** CD –0.0004 –0.001 (–1.839) (–2.485) *** *** CD –0.001 –0.002 t–1 (–5.215) (–7.234) *** *** CP –369.860 –350.704 (–2.886) (–9.970) ** HICP –0.064 (–2.427) * ** CD HICP 0.001 t t (2.436) *** *** BETA 0.024 0.021 (4.548) (4.185) FD –0.019 –0.009 –0.017 9.266 (–1.345) (–0.001) (–1.116) (1.419) FIN 3.103 –0.019 3.111 0.001 (0.084) (–0.209) (0.145) (0.008) TOBINQ –1.581 –0.001 –1.992 –0.008 (–0.201) (–0.050) (–0.430) (–0.399) ** ** *** ** LEV 72.754 0.186 68.800 0.162 (1.973) (2.382) (3.675) (2.061) ** ** SIZE –0.005 2.155 0.005 –0.006 2.542 0.008 (–2.002) (0.549) (0.537) (–2.485) (1.094) (0.798) MB –0.001 –0.000 –0.001 0.002 (–1.327) (–0.003) (–1.360) (1.099) LIQUIDITY –1.455 –0.466 (–1.292) (–0.575) ROA 77.532 0.182 89.030 0.171 (0.662) (0.663) (1.328) (0.621) *** INTENSITY –0.030 –2.526 –0.010 0.204 –4.932 0.015 (–1.487) (–0.056) (–0.117) (6.384) (–0.246) (0.187) LITIGATION –14.309 –0.034 –13.130 –0.033 (–1.159) (–1.248) (–1.928) (–1.204) *** _cons 0.153 0.000 –0.085 0.000 2.088 –0.073 Industry indicators Yes Yes Yes Yes Yes Yes Adjusted system R 0.773 0.763 * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, respec- tively. n=181. All continuous variables are winsorized at the 1st and 99th percentiles. Variable definitions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s voluntary carbon disclo- sure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon performance, measured as the inverse of total carbon emissions per million dollars of sales turnover (net); it was also used in Clarkson et al. (2008). HICP is an indicator variable that equals 1 if the firm’s CP in year t is higher than the sample median and 0 otherwise. BETA is market-model beta calculated from the monthly CRSP stock returns during year t − 5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, esti- mated based on the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is t t the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, defined as the market value of equity divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every China Journal of Accounting Studies 207 month of year t. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. tion. On the other hand, it is also possible that the current format and content of the CDP report is not adequate for users to distinguish between good and poor performers. Thus, further efforts should be made to standardize the format and contents of carbon disclosure reports. The coefficient estimates of the control vari- ables in equation (1) were generally consistent with the univariate analysis in Tables 3 and 4. As predicted, systematic risk (BETA) and carbon intensity of an industry (INTENSITY) were positively associated and firm size (SIZE) and earnings quality (FD) were negatively associated with the cost of capital. However, only the coefficients of BETA and SIZE were significant in both systems of equations. MB was not significant in either system, and INTENSITY was significant only in the system with HICP and CD*HICP. Equation (2) in Table 5 examines the determinants of carbon disclosure and shows that the coefficient of CP was significantly negative (–369.860 and –350.704; p<0.01) in both systems of equations. The result is consistent with legitimacy theory and sup- ports hypothesis H2b, suggesting that poorer performers disclose more. This evidence provides an explanation for the result obtained from equation (1) that the negative rela- tionship between carbon disclosure and cost of capital is more pronounced in firms with poorer performance. For the control variables in equation (2), the debt ratio (LEV) was significantly positively associated with CD in both systems of equations. This is consistent with Leftwich et al. (1981), who argued that debt servicing plays a monitor- ing role and that debt holders demand greater disclosure. Litigation risk (LITIGATION) was negatively associated with CD (p<0.10), but significantly only when HICP and CD*HICP were included in equation (1). This result is consistent with Dhaliwal et al. (2011) but inconsistent with Skinner (1997). All other control variables were insignifi- cant. Equation (3) specifies the determinants of carbon performance. The significantly negative relationship between CP and past carbon disclosure (CD )(p<0.01 in both i,t–1 systems) suggests that poor carbon performers may present full carbon information in advance to avoid negative surprises and future market punishment caused by withhold- ing carbon information (Matsumoto, 2002). All other control variables in equation (3) were insignificant, except for debt ratio (LEV). In sum, the 3SLS results suggest two significant relationships among dependent variables. First, carbon disclosure was significantly and negatively associated with the cost of capital, suggesting that the market rewards firms with higher levels of carbon transparency. However, the negative relationship between carbon disclosure and the cost of capital was more pronounced in poor carbon performers, suggesting that without sufficient disclosure, market participants may not fully understand a firm’s good carbon performance. Second, there is an inverse relationship between carbon disclosure and performance, supporting the proposition that poor carbon per- formers have more incentive to disclose carbon information as a result of the pres- sure of legitimacy. This may explain why disclosure is less effective in firms with good performance. 208 He et al. 4.4. Sensitivity analysis 4.4.1. Alternative cost of capital measure We used the PEG ratios developed by Easton (2004) to measure the implied cost of capital because extant tests show that this proxy has better construct validity than other measures (Botosan & Plumlee, 2005). Notwithstanding this evidence, we investigated the sensitivity of our main results to another ex ante cost of capital metrics: debt rating (an ex ante cost of debt measure). We used debt rating because this allowed us to side- step the debate about which is the ‘best’ ex ante cost-of-equity proxy (Francis et al., 2008), and because Sengupta (1998) concluded that disclosure quality (as measured by the scores from the Association of Investment Management and Research) is negatively associated with cost of debt. For tests of debt rating, we used S&P credit ratings (which range from AAA [highest quality] to D [default]), as available on Compustat. We employed the numeric transformation rules of S&P credit ratings in Francis et al. (2008) and excluded those firms that had no debt ratings. The results are shown in Table 6. Panel A of Table 6 shows that the mean of cost of debt capital of all sample firms was 9.062, which is close to the cost of equity capital (9.90) (Table 3). Also, there was an insignificant (significant) difference in the cost of debt between the top 50% (25%) (i.e. high-disclosure) of firms and the bottom 50% (25%) (i.e. low- disclosure) of firms. This result is identical to the result in our main analysis in Table 3. Panel B of Table 6 shows the results of the 3SLS simultaneous equation model. In equation (1), both with and without HICP, CD was always significantly and neg- atively associated with the cost of capital (p<0.05), which is consistent with the observations using PEG ratios as a proxy for the cost of capital (Table 5). How- ever, HICP and CD*HICP were no longer significant, suggesting that carbon disclo- sure had a similar impact on the cost of debt in high- and low-performance firms. The results of all other control variables were also consistent with those observed using PEG ratios, with two exceptions: the indicator variable of a carbon-intensive industry (INTENSITY) was no longer statistically significant, and market-to-book ratio (MB) was significantly negative, consistent with the results of Dhaliwal et al. (2011). The results of equation (2) were generally consistent with those presented in our main analysis, except that the coefficient of CP was statistically significant (t=−1.864, p<0.10) only in the system with HICP, suggesting that carbon disclosure is less sensi- tive to carbon performance in the case of cost of debt. This provides evidence of the importance for controlling for endogeneity in this research setting (Al-Tuwaijri et al., 2004) and validates our adoption of a joint-estimation research design. In equation (3), we observed results identical to those presented in our main analysis, except that the coefficient of profitability (ROA) was statistically significantly positive (p<0.01). Taken as a whole, our main inferences held when we replaced cost of equity with cost of debt. 4.4.2. Alternative carbon performance proxy In the prior analysis, we used the inverse of total carbon emissions per million dol- lars of sales turnover (net) to measure carbon performance. Total carbon emissions consist of three defined ‘scopes’ of GHG emissions: scopes 1, 2, and 3. Scope 1 China Journal of Accounting Studies 209 Table 6. Three-stage least squares (3SLS) regression results (credit ratings –total emission) and coefficients (t-statistics). Panel A: Mean comparison CD (top 50%=1, low 50%=0) CD (top 25%=1, low 25%=0) t t Full sample CD =1 CD =0 t-value CD =1 CD =0 t-value t t t t (n=33) (n=32) (difference) (n=15) (n=15) (difference) COST 9.062 8.545 9.594 1.57 8.333 10 2.14 Panel B: Three-stage least squares (3SLS) results Independent variables Dependent variables Dependent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t ** ** CD –0.047 –0.057 (–2.389) (–2.307) *** *** CD –0.002 –0.002 t–1 (–2.729) (–2.871) CP –62.639 –73.711 (–1.571) (–1.864) HICP –2.620 (–1.103) CD HICP 0.012 t t (0.327) *** *** BETA 1.690 1.781 (3.639) (4.049) FD –1.940 –15.010 –1.365 –14.818 (–1.372) (–1.204) (–1.022) (–1.193) FIN 38.012 0.194 39.591 0.168 (1.186) (0.890) (1.226) (0.767) TOBINQ –1.052 –1.844 –0.045 (–0.184) (–0.323) (–0.906) *** *** LEV 26.281 0.460 29.265 0.476 (1.290) (2.781) (1.432) (2.878) *** *** SIZE –0.834 1.288 –0.008 –0.803 1.220 –0.008 (–3.080) (0.539) (–0.565) (–3.156) (0.507) (–0.564) ** ** MB –0.230 –0.007 –0.257 –0.008 (–2.098) (–0.598) (–2.485) (–0.673) (Continued) 210 He et al. Table 6. (Continued). Panel B: Three-stage least squares (3SLS) results Independent variables Dependent variables Dependent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t LIQUIDITY –0.092 –0.085 (–0.707) (–0.656) *** *** ROA –30.349 1.348 –15.158 1.384 (–0.316) (2.991) (–0.158) (3.051) INTENSITY 0.386 32.622 –0.038 0.375 31.242 –0.129 (0.226) (1.334) (–0.444) (0.219) (1.269) (–0.704) LITIGATION –5.326 (–0.985) –5.252 0.018 (–0.938) 0.014 (–0.919) (0.509) *** *** _cons 18.197 0.000 –0.083 19.438 0.000 0.000 Industry indicators Yes Yes Yes Yes Yes Yes Adjusted system R 0.867 0.886 * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, respectively. n=65. All continuous variables are winsorized at the 2nd and 98th percentiles. Variable definitions: COST is the implied cost of capital in year t derived from the numeric transformation rules of S&P credit ratings in Francis et al. (2008). CD is a measure of the firm’s voluntary carbon disclosure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the busi- ness implications of climate change; CP is the firm’s carbon performance, measured as the inverse of total carbon emissions per million dollars of sales turnover (net); this was also used in Clarkson et al. (2008). HICP is indicator variable that equals 1 if the firm’s CP in year t is higher than the sample median and 0 otherwise. BETA is market-model t t beta calculated from the month CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated based on the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of t t common equity plus the book value of preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, t t defined as the market value of equity divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGA- TION is and indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 other- wise. China Journal of Accounting Studies 211 Table 7. Three-stage least squares (3SLS) results (alternative carbon performance proxy) and coefficients (t-statistics). Dependent variables Dependent variables Independent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t *** *** CD –0.001 –0.001 (–2.962) (–3.411) *** *** CD –0.093 –0.083 t-1 (–8.166) (–7.922) *** *** CP –5.359 –8.106 (–3.186) (–5.995) *** HICP –0.077 (–3.064) * *** CD HICP 0.001 t t (3.054) *** *** BETA 0.020 0.018 (3.909) (3.522) FD –0.016 1.188 –0.013 –3.868 (–1.164) (0.159) (–0.877) (–0.542) FIN 14.525 0.841 13.186 1.020 (0.645) (0.215) (0.554) (0.263) TOBINQ 1.834 0.459 3.877 0.350 (0.359) (0.514) (0.726) (0.396) LEV 13.224 1.605 16.966 0.965 (0.686) (0.459) (0.833) (0.280) * ** SIZE –0.004 1.145 0.125 –0.006 0.449 0.068 (–1.873) (0.446) (0.287) (–2.528) (0.165) (0.155) MB –0.001 0.023 –0.001 0.065 (–1.313) (0.254) (–1.362) (0.769) LIQUIDITY –1.403 –1.067 (–1.656) (–1.278) ROA –0.696 –2.503 –16.097 –2.462 (–0.010) (–0.207) (–0.216) (–0.205) *** ** *** *** *** INTENSITY 0.139 –73.508 –14.416 0.184 –116.960 3.271 (5.903) (–2.424) (–5.900) (6.245) (–4.440) (0.699) LITIGATION –1.742 0.034 –0.907 0.257 (–0.245) (0.028) (–0.120) (0.211) *** *** *** _cons 0.000 121.505 17.321 0.000 165.478 0.000 Industry indicators Yes Yes Yes Yes Yes Yes Adjusted system R 0.701 0.705 * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, respec- tively. n=181. All continuous variables are winsorized at the 1st and 99th percentiles. Variable Definitions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s voluntary carbon disclo- sure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon performance, measured as the inverse of scope 1 emissions per million dollars of sales turnover (net). HICP is indicator variable that equals 1 if the firm’s CP in year t is higher than the sample median, and 0 otherwise. BETA is market-model beta calculated from the month CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated based on the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of preferred stock, book value of long- term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, defined as the market value of equity divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY t 212 He et al. is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833-2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. consists of direct emissions that come from sources that a firm owns or controls. This generally includes emissions from fossil fuel combustion for electricity, heat or steam generation, production processes for cement and steel manufacturing, transpor- tation of company-owned vehicles or aeroplanes, and fugitive emissions, such as refrigerants and methane (Kolk et al., 2008; Phillips, 2004). Scope 2 emissions are referred to as indirect emissions, which are generated from activities necessary to support production activities such as those purchased from an off-site facility, for example, electricity or steam. Scope 3 emissions are harder to define as they have a broader reach and are more all-encompassing. They are brought about by activi- ties that are part of the life cycle of the product and are created by employees, sup- pliers, customers, and contractors; for example, employees driving to work, activities embedded in purchased supplies or inventory, or transporting and disposal of prod- ucts. Scope 1 emissions are the most widely reported, because a firm can be held directly accountable for such emissions. In 2010, direct emissions (scope 1) repre- sented 1.54 billion tonnes of CO -equivalent emissions, or 84% of total emissions reported (PwC & CDP, 2010). On the other hand, indirect emissions (scope 2) come from sources where the point of release is not within the firm itself, but either upstream or downstream in the supply chain; scope 3 emissions are still not well-defined, so many firms do not disclose this information. Thus, we also used the inverse of scope 1 emissions per million dollars of sales turnover (net) to mea- sure carbon performance, because there is a concern that scopes 2 and 3 emissions may be, to some extent, incomparable between firms in different sectors. Other model specifications were the same. The results are presented in Table 7 and are virtually the same as those reported in Table 5. 4.4.3. Past carbon disclosure proxy Dhaliwal et al. (2011) argued that endogeneity and self-selection issues can arise if a study examines a contemporaneous relationship between social responsibility dis- closure and the cost of capital. On the one hand, if the disclosure is motivated by a firm’s desire to reduce its high cost of capital, then researchers should observe a positive relationship between disclosure and the cost of capital. On the other hand, if disclosure leads to a lower cost of equity capital, there should be a negative rela- tionship between these factors. Therefore, the contemporaneous relationship between disclosure and the cost of capital could be ambiguous. To address the potential for endogeneity and self-selection issues, we employed a lead-lag approach in this sen- sitivity analysis, i.e. we replaced carbon disclosure (CD ) with prior carbon disclo- i,t sure (CD ) in equation (1) in our system of equations and kept the other i,t–1 specifications unchanged. The results are shown in Table 8 and are generally the same as those in Table 5, except that the coefficient of carbon disclosure (CD ) i,t–1 was significantly negative (p<0.05) only in the system that included HICP and CD*HICP. This result is consistent with Dhaliwal et al. (2011) and validates the interaction effect between carbon disclosure and carbon performance on the cost of capital in our empirical analysis. In sum, the use of a lead-lag approach did not alter the main inferences obtained from previous analyses. China Journal of Accounting Studies 213 Table 8. Three-stage least squares (3SLS) regression results (prior carbon disclosure proxy) and coefficients (t-statistics). Dependent variables Dependent variables Independent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t CD *** ** *** CD –0.0002 –0.001 –0.0004 –0.003 t–1 (–1.365) (–5.039) (–2.083) (–7.333) *** *** CP –396.544 –165.751 (–3.093) (–4.797) HICP –0.024 (–1.466) * * CD HICP 0.0004 t t (1.667) *** *** BETA 0.024 0.022 (4.568) (4.259) FD –0.020 1.601 –0.021 4.009 (–1.423) (0.166) (–1.371) (0.597) FIN 1.081 –0.020 13.944 0.017 (0.029) (–0.221) (0.962) (0.184) TOBINQ –1.485 –0.002 –1.494 –0.001 (–0.189) (–0.088) (-0.477) (–0.058) ** ** *** ** LEV 77.330 0.181 38.584 0.203 (2.098) (2.322) (2.915) (2.427) ** ** * SIZE –0.005 2.335 0.005 –0.006 2.841 0.012 (–2.271) (0.596) (0.516) (–2.567) (1.790) (1.217) MB –0.001 0.000 –0.001 –0.000 (–1.372) (0.153) (–1.426) (–0.020) LIQUIDITY –0.993 -0.729 (–0.880) (-0.872) ROA 82.322 0.179 47.520 0.197 (0.703) (0.652) (1.038) (0.713) *** INTENSITY 0.110 –0.240 –0.093 –0.030 13.691 0.015 (4.958) (–0.005) (–0.894) (–1.508) (0.713) (0.179) LITIGATION –15.213 –0.035 –5.915 –0.029 (–1.234) (–1.254) (–1.259) (–1.051) *** _cons 0.000 0.000 0.000 0.160 0.000 –0.099 Industry indicators Yes Yes Yes Yes Yes Yes Adjusted system R 0.773 0.754 * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, st th respectively. n=181. All continuous variables are winsorized at the 1 and 99 percentiles. Variable defini- tions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s volun- tary carbon disclosure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon perfor- mance, measured as the inverse of total carbon emissions per million dollars of sales turnover (net); it was also used in Clarkson et al. (2008). HICP is indicator variable that equals 1 if the firm’sCPin year t is higher than the sample median, and 0 otherwise. BETA is market-model beta calculated from the month CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated based on the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, defined as the market value of equity divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. 214 He et al. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total assets at the end of year t. INTENSITY is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833- 2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. 4.4.4. Additional analysis Al-Tuwaijri et al. (2004) used an OLS procedure and found that the results differed notably from those of 3SLS. They argued that this was evidence of the importance of controlling for endogeneity and that this validated the appropriateness of a joint- estimation research design. Thus, we also employed the OLS approach; the results are reported in Table 9. The results using OLS estimation were significantly differ- ent from those observed using 3SLS. The adjusted system R was reduced from 0.763 (0.773) in Table 5 (3SLS estimation) to 0.610 (0.599) in Table 9 (OLS esti- mation), and the correlations between carbon performance (CP) and carbon disclo- sure (CD or CD ) were no longer significant. Moreover, the correlation between i,t i,t–1 the cost of capital and carbon disclosure (CD ) was not significant in the system without HICP and CD*HICP, and the levels of significance of some control vari- ables, such as FIN, LEV, SIZE, and LITIGATION in equation (2) were changed. These results suggest that a joint-estimation research design has provided more robust and consistent findings. 5. Conclusions and limitations This study investigated the relationships between carbon disclosure, carbon perfor- mance, and the cost of capital. Our research model specification is consistent with the argument of Ullmann (1985) that the execution of corporate responsibility is determined by management’s (unobservable) overall strategy. Thus, these constructs might be endogenous. We used a simultaneous equation research design to signifi- cantly improve our analyses of the relationships among carbon performance, carbon disclosure, and the cost of capital versus that obtained by independently estimated OLS models (Al-Tuwaijri et al., 2004). We found that carbon disclosure was nega- tively associated with the cost of capital and that this negative relationship largely took place in firms with poorer carbon performance. We conjecture that this may be owing to the inadequate disclosure of good carbon performers. Consistent with this explanation, we found that disclosure of good carbon performers was significantly lower than that of poor performers. In addition, following the example of Dhaliwal et al. (2011), we also employed a lead-lag approach and documented a negative relationship between past carbon disclosure and carbon performance. This association is consistent with the notion that a firm may present fuller carbon information in advance to avoid future punishment caused by withholding carbon information, if poor carbon performance is expected in the future. The negative relationship in dis- closure between good and poor performers is consistent with legitimacy theory. Because they are bound by social contracts, poor carbon performers are willing to increase disclosure in return for approval of their objectives and other rewards, such as a lower cost of capital, and this ultimately helps assure the continued existence of these firms. China Journal of Accounting Studies 215 Table 9. OLS regression results coefficients (t-statistics) Dependent variables Dependent variables Independent variables COST [Eq.(1)] CD [Eq.(2)] CP [Eq.(3)] COST [Eq.(1’)] CD [Eq.(2’)] CP [Eq.(3’)] t t t t t t ** CD –0.0002 –0.001 (–1.115) (–2.350) CD –0.001 –0.001 t–1 (–1.291) (–1.291) CP –10.112 –10.112 (–1.151) (–1.151) ** HICP –0.047 (–2.183) * ** CD HICP 0.001 t t (2.309) *** *** BETA 0.023 0.022 (4.211) (4.024) FD –0.020 1.348 –0.019 1.348 (–1.333) (0.186) (–1.173) (0.186) ** ** FIN 22.949 –0.056 22.949 –0.056 (2.172) (–0.578) (2.172) (–0.578) TOBINQ –1.257 0.014 –1.257 0.014 (–0.538) (0.554) (–0.538) (0.554) ** ** LEV 12.724 0.238 12.724 0.238 (1.429) (2.385) (1.429) (2.385) ** ** *** ** SIZE –0.006 3.079 0.001 –0.006 3.079 0.001 (–2.347) (2.544) (0.076) (–2.638) (2.544) (0.076) MB –0.001 –0.005 –0.001 –0.005 (–1.372) (–1.011) (–1.427) (–1.011) LIQUIDITY –0.858 –0.858 (–0.939) (–0.939) ROA 17.633 0.229 17.633 0.229 (0.524) (0.779) (0.524) (0.779) *** INTENSITY 0.013 –3.349 –0.139 0.188 –3.349 –0.139 (0.625) (–0.337) (–1.194) (6.190) (–0.337) (–1.194) LITIGATION 0.283 –0.038 0.283 –0.038 (0.084) (–1.288) (0.084) (–1.288) *** _cons 0.147 26.125 0.000 0.000 26.125 0.000 Industry indicators Yes Yes Yes Yes Yes Yes Adjusted system R 0.599 0.610 * ** *** , , Indicate that the estimated coefficient is statistically significant at the 10%, 5%, and 1% levels, respectively. n=181. All continuous variables are winsorized at the 1st and 99th percentiles. Variable defi- nitions: COST is the implied cost of equity capital in year t estimated by the PEG formula in Easton (2004), which was recommended by Botosan and Plumlee (2005). CD is a measure of the firm’s volun- tary carbon disclosure in year t presented by CDP, which is an international collaboration of institutional investors concerned about the business implications of climate change. CP is the firm’s carbon perfor- mance, measured as the inverse of total carbon emissions per million dollars of sales turnover (net); it was also used in Clarkson et al. (2008). HICP is indicator variable that equals 1 if the firm’sCPin year t is higher than the sample median, and 0 otherwise. BETA is market-model beta calculated from the month CRSP stock returns during year t−5 to year t. FD is a proxy for earnings quality, measured as the absolute value of abnormal accruals, estimated based on the modified Jones model. FIN is the amount of debt or equity capital raised by the firm, scaled by total assets at the end of year t. TOBINQ is the market value of common equity plus the book value of preferred stock, book value of long-term debt, and current liability, scaled by the book value of total assets. LEV is the leverage ratio, which is defined as the ratio of total debt divided by total assets. SIZE is the natural logarithm of the market value of equity at the end of year t. MB is the market-to-book ratio, defined as the market value of equity divided by book value of equity at the end of year t. LIQUIDITY is the ratio of the number of shares traded in year t to the weighted total shares outstanding at the end of every month of year t. ROA is the total return on assets, measured as the ratio of income before extraordinary items over total t 216 He et al. assets at the end of year t. INTENSITY is an indicator variable that equals 1 if the firm operates in a GHG-intensive industry and 0 otherwise; it was also used in Matsumura et al. (2010). LITIGATION is an indicator variable that equals 1 if the firm operates in a high-litigation industry (SIC codes of 2833- 2836, 3570-3577, 3600-3674, 5200-5961, and 7370) and 0 otherwise. These results highlight the importance of carbon disclosure for market participants and suggest that carbon disclosure is an important part of the process of fulfilling stake- holders’ demand for environmental accountability. This applies to all firms regardless of their carbon performance records. Like all cross-sectional studies, limitations apply to the interpretation of our results regarding whether the time period examined (2009–2010) is representative and whether the observed relationships among the variables of interest are relatively stable. For example, our sample was drawn from S&P 500 firms, which might introduce a size bias. However, because at that time CDP questionnaires were sent only to S&P 500 firms in the United States, we cannot address this issue. Whereas our results may be generalized for large firms, it would be overreaching to infer that small firms may behave similarly. In addition, this study used the PEG model of Easton (2004) to estimate the cost of capital. This model is applied only to those firms with positive expected earnings growth, which may lead to some self-selection bias, although Botosan and Plumlee (2005) found that PEG estimates were consis- tently and predictably related to risk. Finally, because our finding of a significant association between carbon disclosure and the cost of capital implies value relevance of carbon disclosure to this measure, further research might consider using other proxies for economic performance, such as market return, to determine the perceived usefulness of carbon information. 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Journal

China Journal of Accounting StudiesTaylor & Francis

Published: Dec 1, 2013

Keywords: carbon disclosure; carbon performance; cost of capital; simultaneous equations

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