Stocks as Lotteries: The Implications of Probability Weighting for Security Prices

Working Paper: NBER ID: w12936

Authors: Nicholas Barberis; Ming Huang

Abstract: We study the asset pricing implications of Tversky and Kahneman's (1992) cumulative prospect theory, with particular focus on its probability weighting component. Our main result, derived from a novel equilibrium with non-unique global optima, is that, in contrast to the prediction of a standard expected utility model, a security's own skewness can be priced: a positively skewed security can be "overpriced," and can earn a negative average excess return. Our results offer a unifying way of thinking about a number of seemingly unrelated financial phenomena, such as the low average return on IPOs, private equity, and distressed stocks; the diversification discount; the low valuation of certain equity stubs; the pricing of out-of-the-money options; and the lack of diversification in many household portfolios.

Keywords: cumulative prospect theory; asset pricing; skewness; investor behavior

JEL Codes: D81; G11; G12


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
Cumulative Prospect Theory (D81)Positively Skewed Security is Overpriced (G12)
Positively Skewed Security is Overpriced (G12)Negative Average Excess Return (C29)
Investors Overweight Tails of Distribution (G40)Positively Skewed Security is Overpriced (G12)
Cumulative Prospect Theory (D81)CAPM Holds Under Specific Conditions (G19)
Skewness (C46)Pricing of Skewed Securities (G19)
Multiple Skewed Securities (G19)Skewed Security's Pricing Influenced by Non-Unique Global Optima (D49)

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