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Exchange option pricing in jump-diffusion models based on esscher transform

Wenhan Li, Lixia Liu, Guiwen Lv and Cuixiang Li

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 19, 4661-4672

Abstract: In the real world, we introduce a dynamic model about the risky asset which is governed by Brownian motion, stationary compound Poisson process and its compensation process. By choosing Esscher transform parameters, we obtain a risk-neural measure Q under which the discounted value of the risky underlying asset is a martingale. Then, we give the pricing formulas of Exchange option by change of numeraire. At last, we analyze the option pricing formula and provide numerical illustrations by introducing BBY stock and SBUX stock.

Date: 2018
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Citations: View citations in EconPapers (3)

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DOI: 10.1080/03610926.2018.1444180

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