Asset Prices and Ambiguity: Empirical Evidence

Menachem Brenner and Yehuda Izhakian

Abstract

Modern portfolio theory focuses on the relationship between risk and return, assuming away ambiguity, uncertainty over the probability space. This paper assumes that ambiguity affects asset prices and tests the relationship between risk, ambiguity and return based on a model developed by Izhakian (2011). Its contribution is twofold; it proposes an ambiguity measure that is derived theoretically and computed from stock market prices. Second, it uses ambiguity in conjunction with risk to test the basic relationship between risk, ambiguity and return. This paper finds that ambiguity has a consistently negative effect on returns and risk mostly has a positive effect.