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Option Pricing with Levy-Stable Processes

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Author Info
Alvaro Cartea
Sam Howison

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Abstract

In this paper we show how to calculate European-style option prices when the log-stock and stock returns processes follow a symmetric Levy-Stable process. We extend our results to price European-style options when the log-stock process follows a skewed Levy-Stable process.

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Paper provided by Oxford Financial Research Centre in its series OFRC Working Papers Series with number 2004mf01.

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Date of creation: 2004
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Handle: RePEc:sbs:wpsefe:2004mf01

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Alvaro Cartea & Sam Howison, 2002. "Distinguished Limits of Levy-Stable Processes, and Applications to Option Pricing," OFRC Working Papers Series 2002mf04, Oxford Financial Research Centre. [Downloadable!]
  2. Hull, John C & White, Alan D, 1987. " The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June. [Downloadable!] (restricted)
  3. Kraus, Alan & Litzenberger, Robert H, 1976. "Skewness Preference and the Valuation of Risk Assets," Journal of Finance, American Finance Association, vol. 31(4), pages 1085-1100, September. [Downloadable!] (restricted)
  4. Peter Carr & Liuren Wu, 2003. "The Finite Moment Log Stable Process and Option Pricing," Journal of Finance, American Finance Association, vol. 58(2), pages 753-778, 04. [Downloadable!] (restricted)
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  5. Peter Carr & Helyette Geman, 2002. "The Fine Structure of Asset Returns: An Empirical Investigation," Journal of Business, University of Chicago Press, vol. 75(2), pages 305-332, April. [Downloadable!]
  6. Fama, Eugene F, 1971. "Risk, Return, and Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 79(1), pages 30-55, Jan.-Feb.. [Downloadable!] (restricted)
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(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Marco Lombardi & Giorgio Calzolari, 2006. "Indirect estimation of alpha-stable stochastic volatility models," Econometrics Working Papers Archive wp2006_07, Universita' degli Studi di Firenze, Dipartimento di Statistica "G. Parenti". [Downloadable!]
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