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Pricing gold options under Markov-modulated jump-diffusion processes

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  • Shih-Kuei Lin
  • Yu-Min Lian
  • Szu-Lang Liao

Abstract

In this study, we empirically investigate the properties of gold returns, and the European gold options are priced when the underlying gold price dynamics are driven by Markov-modulated jump-diffusion processes. Specifically, the jump events are captured by a compound Poisson process with a log-normal jump size, and the regime-switching intensity rate is governed by a continuous-time finite-state Markov chain. Under an incomplete market setting, we study the valuation of European gold options using the method of Esscher transform. The estimated results and numerical examples are provided.

Suggested Citation

  • Shih-Kuei Lin & Yu-Min Lian & Szu-Lang Liao, 2014. "Pricing gold options under Markov-modulated jump-diffusion processes," Applied Financial Economics, Taylor & Francis Journals, vol. 24(12), pages 825-836, June.
    • Handle: RePEc:taf:apfiec:v:24:y:2014:i:12:p:825-836
    DOI: 10.1080/09603107.2014.914142
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    Cited by:

    1. 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.
    2. 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.
    3. 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).
    4. Jie-Cao He & Hsing-Hua Chang & Ting-Fu Chen & Shih-Kuei Lin, 2023. "Upside and downside correlated jump risk premia of currency options and expected returns," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-58, December.
    5. Lian, Yu-Min & Chen, Jun-Home & Liao, Szu-Lang, 2024. "Pricing derivatives on foreign assets using Markov-modulated cojump-diffusion dynamics," International Review of Economics & Finance, Elsevier, vol. 93(PB), pages 503-519.

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