Variance swaps, non-normality and macroeconomic and financial risks

This paper studies the determinants of the variance risk premium and discusses the hedging possibilities offered by variance swaps. We start by showing that the variance risk premium responds to changes in higher order moments of the distribution of market returns. But the uncertainty that determines the variance risk premium – the fear by investors to deviations from normality in returns – is also strongly related to a variety of macroeconomic and financial risks associated with default, employment growth, consumption growth, stock market and market illiquidity risks. We conclude that the variance risk premium reflects the market willingness to pay for hedging against these financial and macroeconomic sources of risk. An out-of-sample asset allocation exercise shows that the inclusion of the variance swap reduces the modified value-at-risk with respect to a portfolio holding exclusively the equity market portfolio.

[1]  T. Bollerslev,et al.  Expected Stock Returns and Variance Risk Premia , 2009 .

[2]  M. Brière,et al.  Volatility Exposure for Strategic Asset Allocation , 2010, The Journal of Portfolio Management.

[3]  Y. Amihud,et al.  Illiquidity and Stock Returns II: Cross-Section and Time-Series Effects , 2018, The Review of Financial Studies.

[4]  P. Carr,et al.  Variance Risk Premia , 2007 .

[5]  Christian Dorion.  Variance Risk Premia , Asset Predictability Puzzles , and Macroeconomic Uncertainty , 2011 .

[6]  Yisong S. Tian,et al.  The Model-Free Implied Volatility and Its Information Content , 2005 .

[7]  Ravi Bansal,et al.  Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles , 2000 .

[8]  R. Hafner,et al.  Optimal investments in volatility , 2008 .

[9]  N. L. Johnson,et al.  Systems of Frequency Curves , 1969 .

[10]  Dante Amengual.  The Term Structure of Variance Risk Premia∗ , 2008 .

[11]  Fousseni Chabi-Yo,et al.  Pricing Kernels with Coskewness and Volatility Risk Pricing Kernels with Coskewness and Volatility Risk , 2022 .

[12]  Amir Yaron,et al.  What's Vol Got to Do with It , 2011 .

[13]  Viktor Todorov,et al.  Variance Risk-Premium Dynamics: The Role of Jumps , 2010 .

[14]  Peter Carr,et al.  Variance Risk Premiums , 2009 .

[15]  L. Gil‐Alana,et al.  Fractional integration and mean reversion in stock prices , 2002 .

[16]  Gonzalo Rubio,et al.  The volatility of consumption-based stochastic discount factors and economic cycles , 2011 .

[17]  G. Vilkov.  Variance Risk Premium Demystified , 2008 .

[18]  R. Litzenberger,et al.  SKEWNESS PREFERENCE AND THE VALUATION OF RISK ASSETS , 1976 .

[19]  Joel Hasbrouck,et al.  Trading Costs and Returns for U.S. Equities: Estimating Effective Costs from Daily Data , 2009 .

[20]  Campbell R. Harvey,et al.  Conditional Skewness in Asset Pricing Tests , 1999 .

[21]  Gonzalo Rubio,et al.  Autoregresive conditional volatility, skewness and kurtosis , 2005 .

[22]  Liuren Wu,et al.  The Term Structure of Variance Swap Rates and Optimal Variance Swap Investments , 2010, Journal of Financial and Quantitative Analysis.

[23]  M. Rubinstein..  The Fundamental Theorem of Parameter-Preference Security Valuation , 1973, Journal of Financial and Quantitative Analysis.

[24]  Gurdip Bakshi,et al.  Delta-Hedged Gains and the Negative Market Volatility Risk Premium , 2001 .

[25]  E. Fama,et al.  Common risk factors in the returns on stocks and bonds , 1993 .

[26]  Pascal J. Maenhout,et al.  The Price of Correlation Risk: Evidence from Equity Options , 2006 .

[27]  Gurdip Bakshi,et al.  A Theory of Volatility Spreads , 2006, Manag. Sci..

[28]  Hao Zhou,et al.  Dynamic estimation of volatility risk premia and investor risk aversion from option-implied and realized volatilities , 2004 .

[29]  Gonzalo Rubio,et al.  Stock returns with consumption and illiquidity risks , 2014 .

[30]  George Tauchen,et al.  Realized Jumps on Financial Markets and Predicting Credit Spreads , 2006 .

[31]  Fousseni Chabi-Yo,et al.  Pricing Kernels with Stochastic Skewness and Volatility Risk , 2008, Manag. Sci..