Bayesian inference, prior information on volatility, and option pricing: A maximum entropy approach

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Abstract

This paper develops a Bayesian model for pricing derivative securities with prior information on volatility. Prior information is given in terms of expected values of levels and rates of precision: the inverse of variance. We provide several approximate formulas, for valuing European call options, on the basis of asymptotic and polynomial approximations of Bessel functions.

Original languageEnglish
Pages (from-to)1-12
Number of pages12
JournalInternational Journal of Theoretical and Applied Finance
Volume8
Issue number1
DOIs
StatePublished - 2005
Externally publishedYes

Keywords

  • Bayesian Inference
  • Numerical methods
  • Option pricing
  • Stochastic volatility

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