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Option Pricing When Jump Risk Is Systematic1

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  • Chang Mo Ahn

Abstract

This paper generalizes the Merton jump‐diffusion option pricing model to the case in which jump risk cannot be eliminated in the market portfolio. the option pricing formula is obtained using a general equilibrium asset pricing model. Since jump risk is systematic, the correlation of the underlying stock's jump with the market portfolio's jump affects the option price.

Suggested Citation

  • Chang Mo Ahn, 1992. "Option Pricing When Jump Risk Is Systematic1," Mathematical Finance, Wiley Blackwell, vol. 2(4), pages 299-308, October.
    • Handle: RePEc:bla:mathfi:v:2:y:1992:i:4:p:299-308
    DOI: 10.1111/j.1467-9965.1992.tb00034.x
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    Cited by:

    1. Carolyn W. Chang, 1995. "A No-Arbitrage Martingale Analysis For Jump-Diffusion Valuation," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 18(3), pages 351-381, September.
    2. Wang, Shin-Yun & Lin, Shih-Kuei, 2010. "The pricing and hedging of structured notes with systematic jump risk: An analysis of the USD knock-out reversed swap," International Review of Economics & Finance, Elsevier, vol. 19(1), pages 106-118, January.
    3. Karl Friedrich Mina & Gerald H. L. Cheang & Carl Chiarella, 2015. "Approximate Hedging Of Options Under Jump-Diffusion Processes," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 18(04), pages 1-26.
    4. Asea, Patrick K. & Ncube, Mthuli, 1998. "Heterogeneous information arrival and option pricing," Journal of Econometrics, Elsevier, vol. 83(1-2), pages 291-323.
    5. Patrick Asea & Mthuli Nube, 1997. "Heterogeneous Information Arrival and Option Pricing," UCLA Economics Working Papers 763, UCLA Department of Economics.
    6. Chang, Carolyn W. & S.K. Chang, Jack & Lim, Kian-Guan, 1998. "Information-time option pricing: theory and empirical evidence," Journal of Financial Economics, Elsevier, vol. 48(2), pages 211-242, May.
    7. Kourtis, Apostolos & Markellos, Raphael N. & Psychoyios, Dimitris, 2012. "Wine price risk management: International diversification and derivative instruments," International Review of Financial Analysis, Elsevier, vol. 22(C), pages 30-37.
    8. Sanjiv Ranjan Das & Rangarajan K. Sundaram, 1997. "Taming the Skew: Higher-Order Moments in Modeling Asset Price Processes in Finance," NBER Working Papers 5976, National Bureau of Economic Research, Inc.
    9. Blanchet-Scalliet, Christophette & El Karoui, Nicole & Martellini, Lionel, 2005. "Dynamic asset pricing theory with uncertain time-horizon," Journal of Economic Dynamics and Control, Elsevier, vol. 29(10), pages 1737-1764, October.

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