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Option market trading activity and the estimation of the pricing kernel: A Bayesian approach

  • Giovanni Barone-Adesi
  • , Nicola Fusari
  • , Antonietta Mira
  • , C. Sala*
  • *Corresponding author for this work

Research output: Indexed journal article Articlepeer-review

10 Citations (Scopus)

Abstract

We propose a nonparametric Bayesian approach for the estimation of the pricing kernel. Historical stock returns and option market data are combined through the Dirichlet Process (DP) to construct an option-adjusted physical measure. The precision parameter of the DP process is calibrated to the amount of trading activity in deep-out-of-the-money options. We use the option-adjusted physical measure to construct an option-adjusted pricing kernel. An empirical investigation on the S&P 500 Index from 2002 to 2015 shows that the option-adjusted pricing kernel is consistently monotonically decreasing, regardless of the level of volatility, thus providing an explanation to the well known U-shaped pricing kernel puzzle.

Original languageEnglish
Pages (from-to)430-449
Number of pages20
JournalJournal of Econometrics
Volume216
Issue number2
DOIs
Publication statusPublished - Jun 2020
Externally publishedYes

Keywords

  • Bayesian nonparametric estimation
  • Dirichlet process
  • Options
  • Physical measure
  • Pricing kernel
  • Pricing kernel puzzle
  • S&P 500 index

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