We document a highly significant, strongly nonlinear dependence of stock and bond returns on past equity-market volatility as measured by the VIX. We propose a new estimator for the shape of the nonlinear forecasting relationship that exploits additional variation in the cross section of...

This paper describes a method for computing risk-neutral density functions based on the option-implied volatility smile. Its aim is to reduce complexity and provide cookbook-style guidance through the estimation process. The technique is robust and avoids violations of option no-arbitrage...

We estimate the equity risk premium (ERP) by combining information from twenty models. The ERP in 2012 and 2013 reached heightened levels—of around 12 percent—not seen since the 1970s. We conclude that the high ERP was caused by unusually low Treasury yields.

The illiquidity of long-maturity options has made it difficult to study the term structures of option spanning portfolios. This paper proposes a new estimation and inference framework for these option-implied term structures that addresses long-maturity illiquidity. By building a sieve estimator...

The CLASS model is a top-down capital stress testing framework that projects the effect of different macroeconomic scenarios on U.S. banking firms. The model is based on simple econometric models estimated using public data and also on assumptions about loan loss provisioning, taxes, asset...

Purportedly consistent with “risk parity” (RP) asset allocation, recent studies document compelling “low risk” trading strategies that exploit a persistently negative relation between Sharpe ratios (SRs) and maturity along the U.S. Treasury (UST) term structure. This paper extends this...

We study general equilibrium asset prices in a multi-period endowment economy when agents’ risk aversion is allowed to depend on the maturity of the risk. We find horizon-dependent risk aversion preferences generate a decreasing term structure of risk premia if and only if volatility is...