We propose a new method to improve density forecasts of the equity premium using information from options markets. We obtain predictive densities from stochastic volatility (SV) and GARCH models, which we then tilt using the second moment of the risk-neutral distribution implied by options...

We develop statistics to represent the option implied stochastic discount factor for S&P 500 returns between 1990 and 2008. Our statistics, which we call State Prices of Conditional Quantiles (SPOCQ), estimate the market's willingness to pay for insurance against outcomes in various quantiles of...