The third moment of returns is important for asset pricing, but it is hard to measure precisely, particularly at long horizons. This paper proposes a definition of the realized third moment that is computed from high-frequency returns. It provides an unbiased estimate of the true third moment of...

In dealership markets disclosure of size and price of details of public trades is typically incomplete. We examine whether full and prompt disclosure of public-trade details improves the welfare of a risk-averse investor. We analyze a model of dealership market where a market maker first...

The third moment of returns is important for asset pricing, but it is hard to measure precisely, particularly at long horizons. This paper proposes a definition of the realized third moment that is computed from high-frequency returns. It provides an unbiased estimate of the true third moment of...

We develop a new method for measuring moment risk premiums. We find that the skew premium accounts for over 40% of the slope in the implied volatility curve in the S&P 500 market. Skew risk is tightly related to variance risk, in the sense that strategies designed to capture the one and hedge...

This article analyzes the problem facing an agent who has a long-term commodity supply commitment and who wishes to hedge that commitment using short-maturity commodity futures contracts. As time evolves, the agent has to roll the hedge as old futures contracts mature and new futures contracts...