Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-15T06:43:57.611Z Has data issue: false hasContentIssue false

Volatility Trading: What Is the Role of the Long-Run Volatility Component?

Published online by Cambridge University Press:  20 January 2012

Guofu Zhou
Affiliation:
Olin School of Business, Washington University, 1 Brookings Dr., St. Louis, MO 63130. zhou@wustl.edu
Yingzi Zhu
Affiliation:
School of Economics and Management, Tsinghua University, Beijing 100084, China. zhuyz@sem.tsinghua.edu.cn

Abstract

We study an investor’s asset allocation problem with a recursive utility and with tradable volatility that follows a 2-factor stochastic volatility model. Consistent with previous findings under the additive utility, we show that the investor can benefit substantially from volatility trading due to hedging demand. Unlike existing studies, we find that the impact of elasticity of intertemporal substitution (EIS) on investment decisions is of 1st-order importance. Moreover, the investor can incur significant economic losses due to model and/or parameter misspecifications where the EIS better captures the investor’s attitude toward risk than the risk aversion parameter.

Type
Research Articles
Copyright
Copyright © Michael G. Foster School of Business, University of Washington 2012

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Adrian, T., and Rosenberg, J.. “Stock Returns and Volatility: Pricing the Short-Run and Long-Run Components of Market Risk.” Journal of Finance, 63 (2008), 29973030.CrossRefGoogle Scholar
Bakshi, G., and Kapadia, N.. “Delta Hedged Gains and the Negative Market Volatility Risk Premium.” Review of Financial Studies, 16 (2003), 527566.CrossRefGoogle Scholar
Bali, T. G. “The Intertemporal Relation between Expected Returns and Risk.” Journal of Financial Economics, 87 (2008), 101131.CrossRefGoogle Scholar
Bali, T. G., and Engle, R. F.. “The Intertemporal Capital Asset Pricing Model with Dynamic Conditional Correlations.” Journal of Monetary Economics, 57 (2010), 377390.CrossRefGoogle Scholar
Bali, T. G., and Murray, S.. “Implied Risk-Neutral Skewness and the Cross-Section of Option Returns.” Working Paper, Baruch College (2010).Google Scholar
Bali, T. G., and Peng, L.. “Is There a Risk-Return Trade-Off? Evidence from High-Frequency Data.” Journal of Applied Econometrics, 21 (2006), 11691198.CrossRefGoogle Scholar
Bansal, B., and Yaron, A.. “Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles.” Journal of Finance, 59 (2004), 14811509.CrossRefGoogle Scholar
Beeler, J., and Campbell, J. Y.. “The Long-Run Risks Model and Aggregate Asset Prices: An Empirical Assessment.” Critical Finance Review, 1 (2012), 141182.CrossRefGoogle Scholar
Campbell, J. Y. “Intertemporal Asset Pricing without Consumption Data.” American Economic Review, 83 (1993), 487512.Google Scholar
Campbell, J. Y., and Viceira, L. M.. Strategic Asset Allocation. Oxford, UK: Oxford University Press (2002).CrossRefGoogle Scholar
Carr, P., and Wu, L.. “A Tale of Two Indices.” Journal of Derivatives, 13 (2006), 1329.CrossRefGoogle Scholar
Chacko, G., and Viceira, L. M.. “Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets.” Review of Financial Studies, 18 (2005), 13691402.CrossRefGoogle Scholar
Chernov, M.; Ghysels, E.; Gallant, A. R.; and Tauchen, G.. “Alternative Models for Stock Price Dynamics.” Journal of Econometrics, 116 (2003), 225257.CrossRefGoogle Scholar
Christoffersen, P.; Jacobs, K.; Ornthanalai, C.; and Wang, Y.. “Option Valuation with Long-Run and Short-Run Volatility Components.” Journal of Financial Economics, 90 (2008), 272297.CrossRefGoogle Scholar
Duffie, D., and Epstein, L. G.. “Stochastic Differential Utility.” Econometrica, 60 (1992), 353394.CrossRefGoogle Scholar
Duffie, D.; Pan, J.; and Singleton, K.. “Transform Analysis and Asset Pricing for Affine Jump-Diffusions.” Econometrica, 68 (2000), 13431376.CrossRefGoogle Scholar
Egloff, D.; Leippold, M.; and Wu, L.. “The Term Structure of Variance Swap Rates and Optimal Variance Swap Investment.” Journal of Financial and Quantitative Analysis, 45 (2010), 12791310.CrossRefGoogle Scholar
Epstein, L. G., and Zin, S.. “Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework.” Econometrica, 57 (1989), 937969.CrossRefGoogle Scholar
Guo, H., and Whitelaw, R. F.. “Uncovering the Risk-Return Relation in the Stock Market.” Journal of Finance, 61 (2006), 14331463.CrossRefGoogle Scholar
Heston, S. L. “A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options.” Review of Financial Studies, 6 (1993), 327343.CrossRefGoogle Scholar
Kan, R., and Zhou, G.. “A New Variance Bound on the Stochastic Discount Factor.” Journal of Business, 79 (2006), 941961.CrossRefGoogle Scholar
Kandel, S., and Stambaugh, R. F.. “On the Predictability of Stock Returns: An Asset-Allocation Perspective.” Journal of Finance, 51 (1996), 385424.Google Scholar
Koopmans, T. C. “Stationary Utility and Impatience.” Econometrica, 28 (1960), 287309.CrossRefGoogle Scholar
Kreps, D. M., and Porteus, E. L.. “Temporal Resolution of Uncertainty and Dynamic Choice Theory.” Econometrica, 46 (1978), 185200.CrossRefGoogle Scholar
Liu, J.Portfolio Selection in Stochastic Environments.” Review of Financial Studies, 20 (2007), 139.CrossRefGoogle Scholar
Liu, J., and Pan, J.. “Dynamic Derivative Strategies.” Journal of Financial Economics, 69 (2003), 401430.CrossRefGoogle Scholar
Lu, Z., and Zhu, Y.. “Volatility Components: The Term Structure Dynamics of VIX Futures.” Journal of Futures Markets, 30 (2010), 230256.CrossRefGoogle Scholar
Merton, R. C. “Optimum Consumption and Portfolio Rules in a Continuous-Time Model.” Journal of Economic Theory, 3 (1971), 373413.CrossRefGoogle Scholar
Plott, C. R. “Rational Choice in Experimental Markets.” Journal of Business, 59 (1986), S301S327.CrossRefGoogle Scholar
Schroder, M., and Skiadas, C.. “Optimal Consumption and Portfolio Selection with Stochastic Differential Utility.” Journal of Economic Theory, 89 (1999), 68126.CrossRefGoogle Scholar
Wachter, J. A. “Portfolio and Consumption Decisions under Mean-Reverting Returns: An Exact Solution for Complete Markets.” Journal of Financial and Quantitative Analysis, 37 (2002), 6391.CrossRefGoogle Scholar
Xia, Y.Learning about Predictability: The Effects of Parameter Uncertainty on Dynamic Asset Allocation.” Journal of Finance, 56 (2001), 205246.CrossRefGoogle Scholar