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Option-implied probability distributions: How reliable? How jagged?

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  • Taboga, Marco

Abstract

Estimates of option-implied probability distributions are routinely used in central banks, as well as in other institutions, but their reliability is often difficult to assess. To address this issue, we propose a semi-nonparametric model that allows to compute exact credible intervals around estimated distributions. By analyzing a panel of S&P 500 options, we find that the estimates of the distributions are quite precise. We also provide evidence that the multi-modality often found in option-implied distributions could be an artifact due to over-fitting, and that models with uni-modality constraints have high posterior odds.

Suggested Citation

  • Taboga, Marco, 2016. "Option-implied probability distributions: How reliable? How jagged?," International Review of Economics & Finance, Elsevier, vol. 45(C), pages 453-469.
  • Handle: RePEc:eee:reveco:v:45:y:2016:i:c:p:453-469
    DOI: 10.1016/j.iref.2016.07.013
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    References listed on IDEAS

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    Cited by:

    1. Lina M. Cortés & Javier Perote & Andrés Mora-Valencia, 2017. "Implicit probability distribution for WTI options: The Black Scholes vs. the semi-nonparametric approach," DOCUMENTOS DE TRABAJO CIEF 015923, UNIVERSIDAD EAFIT.
    2. Michele Leonardo Bianchi & Gian Luca Tassinari, 2018. "Forward-looking portfolio selection with multivariate non-Gaussian models and the Esscher transform," Papers 1805.05584, arXiv.org, revised May 2018.

    More about this item

    Keywords

    Implied state prices; Implied risk-neutral distributions; State price estimation; Option-implied distributions;

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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