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Unifying pricing formula for several stochastic volatility models with jumps

Unifying pricing formula for several stochastic volatility models with jumps In this paper, we introduce a unifying approach to option pricing under continuous‐time stochastic volatility models with jumps. For European style options, a new semi‐closed pricing formula is derived using the generalized complex Fourier transform of the corresponding partial integro‐differential equation. This approach is successfully applied to models with different volatility diffusion and jump processes. We also discuss how to price options with different payoff functions in a similar way. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Stochastic Models in Business and Industry Wiley

Unifying pricing formula for several stochastic volatility models with jumps

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References (33)

Publisher
Wiley
Copyright
Copyright © 2017 John Wiley & Sons, Ltd.
ISSN
1524-1904
eISSN
1526-4025
DOI
10.1002/asmb.2248
Publisher site
See Article on Publisher Site

Abstract

In this paper, we introduce a unifying approach to option pricing under continuous‐time stochastic volatility models with jumps. For European style options, a new semi‐closed pricing formula is derived using the generalized complex Fourier transform of the corresponding partial integro‐differential equation. This approach is successfully applied to models with different volatility diffusion and jump processes. We also discuss how to price options with different payoff functions in a similar way.

Journal

Applied Stochastic Models in Business and IndustryWiley

Published: Aug 1, 2017

Keywords: ; ; ; ;

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