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Anything is Possible: On the Existence and Uniqueness of Equilibria in the Shleifer-Vishny Model of Limits of Arbitrage

Review of Finance 2009 13(3), 521-553 open access
This paper characterizes equilibria in the Shleifer-Vishny model of limits of arbitrage. To prove existence, one has to consider types of equilibria ignored by Shleifer and Vishny, even if one adopts their parameter restrictions. For example, the only equilibrium may be one in which maximization of expected wealth requires an “all-or-nothing” investment strategy, with intermediate investment levels being strictly unprofitable. If one goes beyond Shleifer and Vishny's parameter restrictions, multiple equilibria may arise, and equilibrium selection may be governed by sunspots. Moreover, there may exist an equilibrium in which the asset price returns to fundamentals despite worsening noise trader sentiment

The Price of Correlation Risk: Evidence from Equity Options

Journal of Finance 2009 64(3), 1377-1406
We study whether exposure to marketwide correlation shocks affects expected option returns, using data on S&P100 index options, options on all components, and stock returns. We find evidence of priced correlation risk based on prices of index and individual variance risk. A trading strategy exploiting priced correlation risk generates a high alpha and is attractive for CRRA investors without frictions. Correlation risk exposure explains the cross-section of index and individual option returns well. The correlation risk premium cannot be exploited with realistic trading frictions, providing a limits-to-arbitrage interpretation of our finding of a high price of correlation risk

The Price of Correlation Risk: Evidence from Equity Options

Journal of Finance 2009 64(3), 1377-1406 open access
We study whether exposure to marketwide correlation shocks affects expected option returns, using data on S&P100 index options, options on all components, and stock returns. We find evidence of priced correlation risk based on prices of index and individual variance risk. A trading strategy exploiting priced correlation risk generates a high alpha and is attractive for CRRA investors without frictions. Correlation risk exposure explains the cross‐section of index and individual option returns well. The correlation risk premium cannot be exploited with realistic trading frictions, providing a limits‐to‐arbitrage interpretation of our finding of a high price of correlation risk