TY - JOUR AU - Barberis,Nicholas AU - Huang,Ming TI - Stocks as Lotteries: The Implications of Probability Weighting for Security Prices JF - National Bureau of Economic Research Working Paper Series VL - No. 12936 PY - 2007 Y2 - February 2007 UR - http://www.nber.org/papers/w12936 L1 - http://www.nber.org/papers/w12936.pdf N1 - Author contact info: Nicholas C. Barberis Yale School of Management 135 Prospect Street P O Box 208200 New Haven, CT 06520-8200 Tel: 203/436-0777 Fax: 203/432-6970 E-Mail: nick.barberis@yale.edu Ming Huang Johnson Graduate School of Management 319 Sage Hall Cornell University Ithaca, NY 14853 Tel: 607/255-9594 E-Mail: mh375@cornell.edu AB - 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. ER -