{"title":"Estimating Probability Weighting Functions through Option Pricing Bounds","authors":"Tzu-Ying Chen, Yo-Lan Lin, Larry Y Tzeng","doi":"10.1093/rapstu/raae008","DOIUrl":null,"url":null,"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. (JEL G12)","PeriodicalId":21144,"journal":{"name":"Review of Asset Pricing Studies","volume":"48 1","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Review of Asset Pricing Studies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1093/rapstu/raae008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"BUSINESS, FINANCE","Score":null,"Total":0}
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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. (JEL G12)
期刊介绍：
The Review of Asset Pricing Studies (RAPS) is a journal that aims to publish high-quality research in asset pricing. It evaluates papers based on their original contribution to the understanding of asset pricing. The topics covered in RAPS include theoretical and empirical models of asset prices and returns, empirical methodology, macro-finance, financial institutions and asset prices, information and liquidity in asset markets, behavioral investment studies, asset market structure and microstructure, risk analysis, hedge funds, mutual funds, alternative investments, and other related topics.
Manuscripts submitted to RAPS must be exclusive to the journal and should not have been previously published. Starting in 2020, RAPS will publish three issues per year, owing to an increasing number of high-quality submissions. The journal is indexed in EconLit, Emerging Sources Citation IndexTM, RePEc (Research Papers in Economics), and Scopus.
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