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The Review of Asset Pricing Studies Vol. 14 No. 3 2024

Estimating Probability Weighting Functions through Option Pricing Bounds

Tzu-Ying Chen1; Yo-Lan Lin2; Larry Y. Tzeng2

1 Tamkang University , Taiwan · 2 National Taiwan University , Taiwan

Abstract

This paper proposes a novel approach to estimating the probability weighting function (PWF) of investors in the option market. We match observed option prices to the option pricing bounds under stochastic dominance rules. Using 1-month S&P 500 index option data, we find that investors could subjectively employ an inverse S-shaped probability weighting function, which increases the weights on extreme returns and asymmetrically assigns greater weights to extremely low returns than to extremely high returns. Our findings suggest that the inverse S-shaped nature of the PWFs is robust across various estimation specifications, such as adopting an alternative methodology to construct the return distribution, and employing option data with different times to maturity.

DOI
10.1093/rapstu/raae008
Volume
14
Issue
3
Pages
513-543
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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