Rare Disasters, Tail Aversion, and Asset Pricing Puzzles

Abstract

This paper integrates tail aversion, implemented via a one-period entropic tilt, with rare disasters in a consumption-based asset pricing model with CRRA utility to jointly address the equity premium and risk-free rate puzzles. The model delivers closed-form expressions for the risk-free rate and asset moments, pushes out the Hansen-Jagannathan bound, implies a low risk-free rate via diffusion and disaster channels, and delivers natural upper and lower bounds of risk aversion. Calibrated to long-run return data and disciplined by disaster evidence, the model matches average returns, volatility, and a low real risk-free rate with very modest risk aversion.