We estimate a highly significant price of risk that forecasts global stock and bond returns as a nonlinear function of the CBOE Volatility Index (VIX). We show that countries' exposure to the global price of risk is related to macroeconomic risks as measured by output, credit, and inflation...

Sellers of variance swaps earn time-varying risk premia for their exposure to realized variance, the level of variance swap rates, and the slope of the variance swap curve. To measure risk premia, we estimate a dynamic term structure model that decomposes variance swap rates into expected...

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...

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...

This paper examines market liquidity in the post-crisis era, in light of concerns that regulatory changes might have reduced banks' ability and willingness to make markets. We begin with a discussion of the broader trading environment, including a discussion of regulations and their potential...

The share of market making conducted by high-frequency trading (HFT) firms has been rising steadily. A distinguishing feature of HFTs is that they trade intraday, ending the day flat. To shed light on the economics of HFTs, and in a departure from existing market-making theories, we model an HFT...

Order book and transactions data from the U.S. Treasury securities market are used to calculate daily measures of bid-ask spreads, depth, and price impact for a twenty-six-year sample period (1991-2017). From these measures, a daily index of Treasury market liquidity is constructed, reflecting...