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Option pricing on foreign exchange in a Markov-modulated, incomplete-market economy

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  • Lian, Yu-Min
  • Chen, Jun-Home
  • Liao, Szu-Lang

Abstract

In this study, we investigate the currency option pricing in a Markov-modulated, incomplete-market economy. Specifically, the dynamics of the spot foreign exchange rate and the domestic/foreign instantaneous forward interest rates are, respectively, governed by a two-factor Markov-modulated stochastic volatility model with jumps and a Markov-modulated Heath–Jarrow–Morton model. The analytical expressions are obtainable using the random Esscher transform. Numerical examples are also given.

Suggested Citation

  • Lian, Yu-Min & Chen, Jun-Home & Liao, Szu-Lang, 2016. "Option pricing on foreign exchange in a Markov-modulated, incomplete-market economy," Finance Research Letters, Elsevier, vol. 16(C), pages 208-219.
    • Handle: RePEc:eee:finlet:v:16:y:2016:i:c:p:208-219
    DOI: 10.1016/j.frl.2015.12.005
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    References listed on IDEAS

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    11. Chang Mo Ahn & D. Chinhyung Cho & Keehwan Park, 2007. "The pricing of foreign currency options under jump‐diffusion processes," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 27(7), pages 669-695, July.
    12. Lian, Yu-Min & Liao, Szu-Lang & Chen, Jun-Home, 2015. "State-dependent jump risks for American gold futures option pricing," The North American Journal of Economics and Finance, Elsevier, vol. 33(C), pages 115-133.
    13. Chen, Son-Nan & Chiang, Mi-Hsiu & Hsu, Pao-Peng & Li, Chang-Yi, 2014. "Valuation of quanto options in a Markovian regime-switching market: A Markov-modulated Gaussian HJM model," Finance Research Letters, Elsevier, vol. 11(2), pages 161-172.
    14. Bo, Lijun & Wang, Yongjin & Yang, Xuewei, 2010. "Markov-modulated jump-diffusions for currency option pricing," Insurance: Mathematics and Economics, Elsevier, vol. 46(3), pages 461-469, June.
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    Citations

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    Cited by:

    1. Milan Kumar Das & Anindya Goswami, 2019. "Testing of binary regime switching models using squeeze duration analysis," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 6(01), pages 1-20, March.
    2. Lian, Yu-Min & Chen, Jun-Home & Liao, Szu-Lang, 2021. "Cojump risks and their impacts on option pricing," The Quarterly Review of Economics and Finance, Elsevier, vol. 79(C), pages 399-410.
    3. Berlinger, Edina & Bihary, Zsolt & Walter, György, 2017. "Corporate cash-pool valuation in a multi-firm context: A closed formula," Finance Research Letters, Elsevier, vol. 22(C), pages 30-34.
    4. Milan Kumar Das & Anindya Goswami, 2018. "Testing of Binary Regime Switching Models using Squeeze Duration Analysis," Papers 1807.04393, arXiv.org, revised Aug 2018.
    5. Lian, Yu-Min & Chen, Jun-Home, 2020. "Joint dynamic modeling and option pricing in incomplete derivative-security market," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
    6. Lian, Yu-Min & Chen, Jun-Home, 2023. "Valuation of chooser options with state-dependent risks," Finance Research Letters, Elsevier, vol. 52(C).
    7. Biswas, Arunangshu & Goswami, Anindya & Overbeck, Ludger, 2018. "Option pricing in a regime switching stochastic volatility model," Statistics & Probability Letters, Elsevier, vol. 138(C), pages 116-126.
    8. Milan Kumar Das & Anindya Goswami & Sharan Rajani, 2023. "Inference of Binary Regime Models with Jump Discontinuities," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 85(1), pages 49-86, May.
    9. Milan Kumar Das & Anindya Goswami & Sharan Rajani, 2019. "Inference of Binary Regime Models with Jump Discontinuities," Papers 1910.10606, arXiv.org, revised Mar 2022.
    10. David Liu, 2020. "Markov modulated jump-diffusions for currency options when regime switching risk is priced," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 6(04), pages 1-26, February.

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    More about this item

    Keywords

    Currency option; Two-factor Markov-modulated stochastic volatility model with jumps; Markov-modulated Heath–Jarrow–Morton model; Esscher transform;
    All these keywords.

    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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