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Equity with Markov-modulated dividends

Author

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  • Giuseppe Di Graziano
  • L. C. G. Rogers

Abstract

We introduce a simple model for the pricing of European-style options when the underlying dividend process is given by a geometric Brownian motion with Markov-modulated coefficients. It turns out that the corresponding stock process is characterized by both stochastic coefficients and jumps. Transform methods are used to recover option prices. The model is calibrated to market data and the results compared with some well-known stochastic volatility models.

Suggested Citation

  • Giuseppe Di Graziano & L. C. G. Rogers, 2009. "Equity with Markov-modulated dividends," Quantitative Finance, Taylor & Francis Journals, vol. 9(1), pages 19-26.
    • Handle: RePEc:taf:quantf:v:9:y:2009:i:1:p:19-26
    DOI: 10.1080/14697680802036168
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    References listed on IDEAS

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    1. Kyriakos Chourdakis, 2002. "Continuous Time Regime Switching Models and Applications in Estimating Processes with Stochastic Volatility and Jumps," Working Papers 464, Queen Mary University of London, School of Economics and Finance.
    2. John Driffill & Turalay Kenc & Martin Sola, 2002. "Merton-style option pricing under regime switching," Computing in Economics and Finance 2002 304, Society for Computational Economics.
    3. Kyriakos Chourdakis, 2002. "Continuous Time Regime Switching Models and Applications in Estimating Processes with Stochastic Volatility and Jumps," Working Papers 464, Queen Mary University of London, School of Economics and Finance.
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    Citations

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    Cited by:

    1. Aleksandar Mijatovi'c & Martijn Pistorius, 2009. "Exotic derivatives under stochastic volatility models with jumps," Papers 0912.2595, arXiv.org, revised Oct 2010.
    2. Pavel V. Gapeev & Hessah Al Motairi, 2018. "Perpetual American Defaultable Options in Models with Random Dividends and Partial Information," Risks, MDPI, vol. 6(4), pages 1-15, November.
    3. 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.
    4. Pavel V. Gapeev & Oliver Brockhaus & Mathieu Dubois, 2018. "On Some Functionals Of The First Passage Times In Models With Switching Stochastic Volatility," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 21(01), pages 1-21, February.
    5. 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.
    6. 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.
    7. Alessandro Ramponi, 2012. "Fourier Transform Methods For Regime-Switching Jump-Diffusions And The Pricing Of Forward Starting Options," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 15(05), pages 1-26.
    8. Samuel Drapeau & Yunbo Zhang, 2019. "Pricing and Hedging Performance on Pegged FX Markets Based on a Regime Switching Model," Papers 1910.08344, arXiv.org, revised May 2020.
    9. Agostino Capponi & Jose E. Figueroa-Lopez, 2011. "Dynamic Portfolio Optimization with a Defaultable Security and Regime Switching," Papers 1105.0042, arXiv.org, revised Sep 2011.
    10. Fan, Kun & Shen, Yang & Siu, Tak Kuen & Wang, Rongming, 2014. "Pricing foreign equity options with regime-switching," Economic Modelling, Elsevier, vol. 37(C), pages 296-305.

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