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Pricing options on securities with discontinuous returns

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  • Bardhan, Indrajit
  • Chao, Xiulu

Abstract

We consider a financial market where the asset prices are driven by a multidimensional Brownian motion processs and a multidimensional point process of random jumps admitting stochastic intensity. Using the equivalent martingale measure approach, we construct hedging portfolios for European and American contingent claims. We also present a valuation equation that must be satisfied by any derivative security and can be solved numerically to obtain option prices.

Suggested Citation

  • Bardhan, Indrajit & Chao, Xiulu, 1993. "Pricing options on securities with discontinuous returns," Stochastic Processes and their Applications, Elsevier, vol. 48(1), pages 123-137, October.
    • Handle: RePEc:eee:spapps:v:48:y:1993:i:1:p:123-137
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    Citations

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    Cited by:

    1. Jean-Luc Prigent, 2001. "Option Pricing with a General Marked Point Process," Mathematics of Operations Research, INFORMS, vol. 26(1), pages 50-66, February.
    2. Zhou, Yanli & Yuan, Sanling & Zhao, Dianli, 2016. "Threshold behavior of a stochastic SIS model with Le´vy jumps," Applied Mathematics and Computation, Elsevier, vol. 275(C), pages 255-267.
    3. Bardhan, Indrajit & Chao, Xiuli, 1996. "Stochastic multi-agent equilibria in economies with jump-diffusion uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 361-384.
    4. Anindya Goswami & Omkar Manjarekar & Anjana R, 2018. "Option Pricing in a Regime Switching Jump Diffusion Model," Papers 1811.11379, arXiv.org, revised Oct 2019.
    5. Bardhan, Indrajit, 1995. "Exchange rate shocks, currency options and the Siegel paradox," Journal of International Money and Finance, Elsevier, vol. 14(3), pages 441-458, June.
    6. Bardhan, Indrajit & Chao, Xiuli, 1996. "On martingale measures when asset returns have unpredictable jumps," Stochastic Processes and their Applications, Elsevier, vol. 63(1), pages 35-54, October.
    7. Bao, Jianhai & Yuan, Chenggui, 2013. "Long-term behavior of stochastic interest rate models with jumps and memory," Insurance: Mathematics and Economics, Elsevier, vol. 53(1), pages 266-272.

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