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A Markov-modulated model for stocks paying discrete dividends

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  • Sakkas, E.
  • Le, H.

Abstract

We extend the model in [Korn, R., Rogers, L.C.G., 2005. Stock paying discrete dividends: modelling and option pricing. Journal of Derivatives 13, 44-49] for (discrete) dividend processes to incorporate the dependence of assets on the market mode or the state of the economy, where the latter is modeled by a hidden finite-state Markov chain. We then derive the resulting dynamics of the stock price and various option-pricing formulae. It turns out that the stock price jumps not only at the time of the dividend payment, but also when the underlying Markov chain jumps.

Suggested Citation

  • Sakkas, E. & Le, H., 2009. "A Markov-modulated model for stocks paying discrete dividends," Insurance: Mathematics and Economics, Elsevier, vol. 45(1), pages 19-24, August.
    • Handle: RePEc:eee:insuma:v:45:y:2009:i:1:p:19-24
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    References listed on IDEAS

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    1. Boyle, Phelim & Draviam, Thangaraj, 2007. "Pricing exotic options under regime switching," Insurance: Mathematics and Economics, Elsevier, vol. 40(2), pages 267-282, March.
    2. Robert J. Elliott & Leunglung Chan & Tak Kuen Siu, 2005. "Option pricing and Esscher transform under regime switching," Annals of Finance, Springer, vol. 1(4), pages 423-432, October.
    3. Giuseppe Di Graziano & L. C. G. Rogers, 2009. "Equity with Markov-modulated dividends," Quantitative Finance, Taylor & Francis Journals, vol. 9(1), pages 19-26.
    4. John Buffington & Robert J. Elliott, 2002. "American Options With Regime Switching," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 5(05), pages 497-514.
    5. X. Guo, 2001. "Information and option pricings," Quantitative Finance, Taylor & Francis Journals, vol. 1(1), pages 38-44.
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    Cited by:

    1. Yuanchuang Shan & Huisheng Shu & Haoran Yi, 2023. "Pricing Equity-Indexed Annuities under a Stochastic Dividend Model," Mathematics, MDPI, vol. 11(3), pages 1-12, January.
    2. Xie, Minghua & Yi, Xiangyu & Liu, Kui & Sun, Chuanwang & Kong, Qingbao, 2023. "How much natural gas does China need: An empirical study from the perspective of energy transition," Energy, Elsevier, vol. 266(C).

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