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Option Pricing Under Jump-Diffusion Processes

Carl Chiarella, Xuezhong (Tony) He () and Christina Sklibosios Nikitopoulos
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Christina Sklibosios Nikitopoulos: University of Technology Sydney

Chapter Chapter 13 in Derivative Security Pricing, 2015, pp 273-293 from Springer

Abstract: Abstract This chapter extends the hedging argument of option pricing developed for continuous diffusion processes previously to the situations when the underlying asset price is driven by the jump-diffusion stochastic differential equations. By constructing hedging portfolios and employing the capital asset pricing model, we provide an option pricing integro-partial differential equations and a general solution. We also examine alternative ways to construct the hedging portfolio and to price option when the jump sizes are fixed.

Keywords: Stock Price; Asset Price; Option Price; Excess Return; Capital Asset Price Model (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:dymchp:978-3-662-45906-5_13

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DOI: 10.1007/978-3-662-45906-5_13

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