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A Bayesian time varying approach to risk neutral density estimation

R. Casarin,Germán Molina,E. Horst

Published 2018 in Journal of the Royal Statistical Society: Series A (Statistics in Society)

ABSTRACT

We expand the literature of risk neutral density estimation across maturities from implied volatility curves, which are usually estimated and interpolated through cubic smoothing splines. The risk neutral densities are computed through the second derivative, which we extend through a Bayesian approach to the problem, featuring an extension to a multivariate setting across maturities and over time, a flexible estimation approach for the smoothing parameter, which is traditionally assumed common to all assets, known and fixed across maturities and time, but now potentially different between assets and maturities, and over time, and information borrowing about the implied curves and risk neutral densities not only across different option maturities, but also dynamically.

PUBLICATION RECORD

  • Publication year

    2018

  • Venue

    Journal of the Royal Statistical Society: Series A (Statistics in Society)

  • Publication date

    2018-06-27

  • Fields of study

    Mathematics, Business, Economics

  • Identifiers
    DOI 10.1111/rssa.12386
  • External record

    Open on Semantic Scholar

  • Source metadata

    Semantic Scholar

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