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Reconstruction of the Probability Density Function Implicit in Option Prices from Incomplete and Noisy Data

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Maximum Entropy and Bayesian Methods

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 79))

Abstract

We present a novel synthesis of MaxEnt and option pricing theory that yields a practical computational method for numerically reconstructing the probability density function implicit in option prices from an incomplete and noisy set of option prices. We illustrate the potential of this approach by calculating the implied probability density function from observed S&P 500 index options.

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© 1996 Springer Science+Business Media Dordrecht

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Hawkins, R.J., Rubinstein, M., Daniell, G.J. (1996). Reconstruction of the Probability Density Function Implicit in Option Prices from Incomplete and Noisy Data. In: Hanson, K.M., Silver, R.N. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 79. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5430-7_1

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  • DOI: https://doi.org/10.1007/978-94-011-5430-7_1

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6284-8

  • Online ISBN: 978-94-011-5430-7

  • eBook Packages: Springer Book Archive

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