Does Risk Seeking Drive Stock Prices? A Stochastic Dominance Analysis of Aggregate Investor Preferences and Beliefs
Posted: 29 Feb 2008
Date Written: 2005
We use various stochastic dominance criteria that account for (local) risk seeking to analyze market portfolio efficiency relative to benchmark portfolios formed on market capitalization, book-to-market equity ratio and price momentum. Our results suggest that reverse S-shaped utility functions with risk aversion for losses and risk seeking for gains can explain stock returns. The results are also consistent with a reverse S-shaped pattern of subjective probability transformation. The low average yield on big caps, growth stocks, and past losers may reflect investors` twin desire for downside protection in bear markets and upside potential in bull markets.
Keywords: time optimal control problems, Neumann parabolic equations with an infinite number of variables, Dubovitskii-Milyutin theorem, conical approximations, optimality conditions, Weierstrass theorem
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