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Pricing American options on foreign currency with stochastic volatility, jumps, and stochastic interest rates

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  • Jia‐Hau Guo
  • Mao‐Wei Hung

Abstract

By applying the Heath–Jarrow–Morton (HJM) framework, an analytical approximation for pricing American options on foreign currency under stochastic volatility and double jump is derived. This approximation is also applied to other existing models for the purpose of comparison. There is evidence that such types of jumps can have a critical impact on earlyexercise premiums that will be significant for deep out‐of‐the‐money options with short maturities. Moreover, the importance of the term structure of interest rates to early‐exercise premiums is demonstrated as is the sensitivity of these premiums to correlation‐related parameters. © 2007 Wiley Periodicals, Inc. Jrl Fut Mark 27:867–891, 2007

Suggested Citation

  • Jia‐Hau Guo & Mao‐Wei Hung, 2007. "Pricing American options on foreign currency with stochastic volatility, jumps, and stochastic interest rates," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 27(9), pages 867-891, September.
    • Handle: RePEc:wly:jfutmk:v:27:y:2007:i:9:p:867-891
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    Cited by:

    1. Sun, Qi & Xu, Weidong, 2015. "Pricing foreign equity option with stochastic volatility," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 437(C), pages 89-100.
    2. Li, Xiao-Ping & Feng, Yun & Wu, Chong-Feng & Xu, Wei-Dong, 2013. "Response of the term structure of forward exchange rate to jump in the interest rate," Economic Modelling, Elsevier, vol. 30(C), pages 863-874.
    3. Chuang, Ming-Che & Wen, Chin-Hsiang & Lin, Shih-Kuei, 2020. "Valuation and empirical analysis of currency options," International Review of Economics & Finance, Elsevier, vol. 66(C), pages 71-91.
    4. Sandun Perera & Winston Buckley & Hongwei Long, 2018. "Market-reaction-adjusted optimal central bank intervention policy in a forex market with jumps," Annals of Operations Research, Springer, vol. 262(1), pages 213-238, March.

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