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Option Pricing Based on Alternative Jump Size Distributions

Author

Listed:
  • Jian Chen

    (School of Economics, Xiamen University, Xiamen 361005, China)

  • Chenghu Ma

    (School of Management, Fudan University, Shanghai 200433, China)

Abstract

It is well known that volatility smirks and heavy-tailed asset return distributions are two violations of the Black-Scholes model. This paper investigates the role of jump size distribution played in explaining these two abnormalities. We consider a jump-diffusion model with Laplace jump size distribution, in comparison to the conventional normal distribution. In addition, our analysis is built upon a pure exchange economy, in which the representative agent¡¯s risk preference shows a fanning characteristic. We find that, when a fanning effect is present, Laplace model produces a more remarkable leptokurtic pattern of the risk-neutral distribution implied by options, as well as generating more pronounced volatility smirks than the normal model.

Suggested Citation

  • Jian Chen & Chenghu Ma, 2016. "Option Pricing Based on Alternative Jump Size Distributions," Frontiers of Economics in China-Selected Publications from Chinese Universities, Higher Education Press, vol. 11(3), pages 439-467, September.
  • Handle: RePEc:fec:journl:v:11:y:2016:i:3:p:439-467
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    File URL: http://journal.hep.com.cn/fec/EN/10.3868/s060-005-016-0024-0
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    Cited by:

    1. Jordan, Matthias & Millinger, Markus & Thrän, Daniela, 2020. "Robust bioenergy technologies for the German heat transition: A novel approach combining optimization modeling with Sobol’ sensitivity analysis," Applied Energy, Elsevier, vol. 262(C).

    More about this item

    Keywords

    general equilibrium; recursive utility; option pricing; Laplace distribution; volatility smirk;
    All these keywords.

    JEL classification:

    • 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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