On Sources of Risk Premia in Representative Agent Models

Abstract

We use option prices and realized returns to decompose risk premia into different parts of the return state space. In the data, 8/10 of the average equity premium is attributable to monthly returns below -10%, but returns below -30% matter very little. In contrast, leading asset pricing models based on habits, long-run risks, rare disasters, undiversifiable idiosyncratic risk, and constrained intermediaries attribute the premium predominantly to returns above -10% or to the extreme left tail. We show that the discrepancy arises from an unrealistically small price of risk for stock market tail events.