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Preferences, Lévy Jumps And Option Pricing

Author

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  • CHENGHU MA

    (WISE, Xiamen University, China 361005, China)

Abstract

This paper derives an equilibrium formula for pricing European options and other contingent claims which allows incorporating impacts of several important economic variable on security prices including, among others, representative agent preferences, future volatility and rare jump events. The derived formulae is general and flexible enough to include some important option pricing formulae in the literature, such as Black–Scholes, Naik–Lee, Cox–Ross and Merton option pricing formulae. The existence of jump risk as a potential explanation of the moneyness biases associated with the Black–Scholes model is explored.

Suggested Citation

  • Chenghu Ma, 2007. "Preferences, Lévy Jumps And Option Pricing," Annals of Financial Economics (AFE), World Scientific Publishing Co. Pte. Ltd., vol. 3(01), pages 1-33.
  • Handle: RePEc:wsi:afexxx:v:03:y:2007:i:01:n:s2010495207500017
    DOI: 10.1142/S2010495207500017
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    More about this item

    Keywords

    Equilibrium option pricing; recursive utility; Levy jumps; G10; G11; G12; G13;
    All these keywords.

    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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