Long-Term Skewness and Systemic Risk

Robert Engle

Journal of Financial Econometrics, 2011, vol. 9, issue 3, 437-468

Abstract: Financial risk management has generally focused on short-term risks rather than long-term risks, and arguably this was an important component of the recent financial crisis. Econometric approaches to measuring long-term risk are developed in order to estimate the term structure of value at risk and expected shortfall. Long-term negative skewness increases the downside risk and is a consequence of asymmetric volatility models. A test is developed for long-term skewness. In a Merton style structural default model, bankruptcies are accompanied by substantial drops in equity prices. Thus, skewness in a market factor implies high defaults and default correlations even far in the future corroborating the systemic importance of long-term skewness. Investors concerned about long-term risks may hedge exposure as in the Intertemporal Capital Asset Pricing Model (ICAPM). As a consequence, the aggregate wealth portfolio should have asymmetric volatility and hedge portfolios should have reversed asymmetric volatility. Using estimates from VLAB, reversed asymmetric volatility is found for many possible hedge portfolios such as volatility products, long- and short-term treasuries, some exchange rates, and gold. JEL: G01 Copyright The Author 2011. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oup.com., Oxford University Press.

Date: 2011
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