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On the Relationship Between the Conditional Mean and Volatility of Stock Returns: A Latent VAR Approach

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  • Michael W. Brandt
  • Qiang Kang
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    Abstract

    We model the conditional mean and volatility of stock returns as a latent vector autoregressive (VAR) process to study the contemporaneous and intertemporal relationship between expected returns and risk in a flexible statistical framework and without relying on exogenous predictors. We find a strong and robust negative correlation between the innovations to the conditional moments that leads to pronounced counter-cyclical variation in the Sharpe ratio. We document significant lead-lag correlations between the conditional moments that also appear related to business cycles. Finally, we show that although the conditional correlation between the mean and volatility is negative, the unconditional correlation is positive due to the lead-lag correlations.

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    Bibliographic Info

    Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 9056.

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    Date of creation: Jul 2002
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    Publication status: published as Brandt, Michael W. and Qiang Kang. "On The Relationship Between Conditional Mean And Volatility Of Stock Returns: A Latent VAR Approach," Journal of Financial Economics, 2004, v72(2,May), 217-257.
    Handle: RePEc:nbr:nberwo:9056

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    1. Ghysels, E. & Harvey, A. & Renault, E., 1996. "Stochastic Volatility," Cahiers de recherche, Universite de Montreal, Departement de sciences economiques 9613, Universite de Montreal, Departement de sciences economiques.
    2. Chernov, Mikhail & Gallant, A. Ronald & Ghysels, Eric & Tauchen, George, 2002. "Alternative Models for Stock Price Dynamic," Working Papers, Duke University, Department of Economics 02-03, Duke University, Department of Economics.
    3. Harvey, Andrew & Ruiz, Esther & Shephard, Neil, 1994. "Multivariate Stochastic Variance Models," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 61(2), pages 247-64, April.
    4. Jacquier, Eric & Polson, Nicholas G & Rossi, Peter E, 1994. "Bayesian Analysis of Stochastic Volatility Models," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 12(4), pages 371-89, October.
    5. John Y. Campbell & John H. Cochrane, 1995. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," NBER Working Papers 4995, National Bureau of Economic Research, Inc.
    6. G. William Schwert & Paul J. Seguin, 1991. "Heteroskedasticity in Stock Returns," NBER Working Papers 2956, National Bureau of Economic Research, Inc.
    7. Yacine Ait-Sahalia & Michael W. Brandt, 2001. "Variable Selection for Portfolio Choice," NBER Working Papers 8127, National Bureau of Economic Research, Inc.
    8. Campbell, John Y. & Hentschel, Ludger, 1992. "No news is good news *1: An asymmetric model of changing volatility in stock returns," Journal of Financial Economics, Elsevier, Elsevier, vol. 31(3), pages 281-318, June.
    9. Bekaert, Geert & Harvey, Campbell R, 1995. " Time-Varying World Market Integration," Journal of Finance, American Finance Association, American Finance Association, vol. 50(2), pages 403-44, June.
    10. Harvey, Campbell R., 2001. "The specification of conditional expectations," Journal of Empirical Finance, Elsevier, Elsevier, vol. 8(5), pages 573-637, December.
    11. Geert Bekaert & Guojun Wu, 1997. "Asymmetric Volatility and Risk in Equity Markets," NBER Working Papers 6022, National Bureau of Economic Research, Inc.
    12. J. A. Hausman, 1976. "Specification Tests in Econometrics," Working papers, Massachusetts Institute of Technology (MIT), Department of Economics 185, Massachusetts Institute of Technology (MIT), Department of Economics.
    13. Bossaerts, Peter & Hillion, Pierre, 1999. "Implementing Statistical Criteria to Select Return Forecasting Models: What Do We Learn?," Review of Financial Studies, Society for Financial Studies, Society for Financial Studies, vol. 12(2), pages 405-28.
    14. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, American Finance Association, vol. 59(4), pages 1481-1509, 08.
    15. LeRoy, Stephen F & Porter, Richard D, 1981. "The Present-Value Relation: Tests Based on Implied Variance Bounds," Econometrica, Econometric Society, Econometric Society, vol. 49(3), pages 555-74, May.
    16. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Heiko Ebens, 2000. "The Distribution of Stock Return Volatility," Center for Financial Institutions Working Papers, Wharton School Center for Financial Institutions, University of Pennsylvania 00-27, Wharton School Center for Financial Institutions, University of Pennsylvania.
    17. Amit Goyal & Ivo Welch, 1999. "Predicting the Equity Premium with Dividend Ratios," Yale School of Management Working Papers, Yale School of Management amz2437, Yale School of Management, revised 01 Nov 2002.
    18. Sassan Alizadeh & Michael W. Brandt & Francis X. Diebold, 2002. "Range-Based Estimation of Stochastic Volatility Models," Journal of Finance, American Finance Association, American Finance Association, vol. 57(3), pages 1047-1091, 06.
    19. Keim, Donald B. & Stambaugh, Robert F., 1986. "Predicting returns in the stock and bond markets," Journal of Financial Economics, Elsevier, Elsevier, vol. 17(2), pages 357-390, December.
    20. Lamoureux, Christopher G & Zhou, Guofu, 1996. "Temporary Components of Stock Returns: What Do the Data Tell Us?," Review of Financial Studies, Society for Financial Studies, Society for Financial Studies, vol. 9(4), pages 1033-59.
    21. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 98(3), pages 519-43, June.
    22. Lawrence R. Glosten & Ravi Jagannathan & David E. Runkle, 1993. "On the relation between the expected value and the volatility of the nominal excess return on stocks," Staff Report, Federal Reserve Bank of Minneapolis 157, Federal Reserve Bank of Minneapolis.
    23. Sandmann, Gleb & Koopman, Siem Jan, 1998. "Estimation of stochastic volatility models via Monte Carlo maximum likelihood," Journal of Econometrics, Elsevier, Elsevier, vol. 87(2), pages 271-301, September.
    24. French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, Elsevier, vol. 19(1), pages 3-29, September.
    25. Valkanov, Rossen, 2003. "Long-horizon regressions: theoretical results and applications," Journal of Financial Economics, Elsevier, Elsevier, vol. 68(2), pages 201-232, May.
    26. Fama, Eugene F & French, Kenneth R, 1988. "Permanent and Temporary Components of Stock Prices," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 96(2), pages 246-73, April.
    27. Robert F. Stambaugh, 1999. "Predictive Regressions," NBER Technical Working Papers 0240, National Bureau of Economic Research, Inc.
    28. Danielsson, Jon, 1994. "Stochastic volatility in asset prices estimation with simulated maximum likelihood," Journal of Econometrics, Elsevier, Elsevier, vol. 64(1-2), pages 375-400.
    29. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 107(2), pages 205-251, April.
    30. Geert Bekaert & Steven R. Grenadier, 1999. "Stock and Bond Pricing in an Affine Economy," NBER Working Papers 7346, National Bureau of Economic Research, Inc.
    31. Paul Harrison & Harold H. Zhang, 1999. "An Investigation Of The Risk And Return Relation At Long Horizons," The Review of Economics and Statistics, MIT Press, vol. 81(3), pages 399-408, August.
    32. Christensen, B. J. & Prabhala, N. R., 1998. "The relation between implied and realized volatility," Journal of Financial Economics, Elsevier, Elsevier, vol. 50(2), pages 125-150, November.
    33. Gennotte, Gerard & Marsh, Terry A., 1993. "Variations in economic uncertainty and risk premiums on capital assets," European Economic Review, Elsevier, Elsevier, vol. 37(5), pages 1021-1041, June.
    34. De Santis, Giorgio & Gerard, Bruno, 1998. "How big is the premium for currency risk?," Journal of Financial Economics, Elsevier, Elsevier, vol. 49(3), pages 375-412, September.
    35. Breen, William & Glosten, Lawrence R & Jagannathan, Ravi, 1989. " Economic Significance of Predictable Variations in Stock Index Returns," Journal of Finance, American Finance Association, American Finance Association, vol. 44(5), pages 1177-89, December.
    36. Wiggins, James B., 1987. "Option values under stochastic volatility: Theory and empirical estimates," Journal of Financial Economics, Elsevier, Elsevier, vol. 19(2), pages 351-372, December.
    37. Michael W. Brandt, 1999. "Estimating Portfolio and Consumption Choice: A Conditional Euler Equations Approach," Journal of Finance, American Finance Association, American Finance Association, vol. 54(5), pages 1609-1645, October.
    38. Harvey, Andrew C & Shephard, Neil, 1996. "Estimation of an Asymmetric Stochastic Volatility Model for Asset Returns," Journal of Business & Economic Statistics, American Statistical Association, American Statistical Association, vol. 14(4), pages 429-34, October.
    39. Andrew Ang & Geert Bekaert, 2001. "Stock Return Predictability: Is it There?," NBER Working Papers 8207, National Bureau of Economic Research, Inc.
    40. Geweke, John, 1989. "Bayesian Inference in Econometric Models Using Monte Carlo Integration," Econometrica, Econometric Society, Econometric Society, vol. 57(6), pages 1317-39, November.
    41. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, Elsevier, vol. 52(1-2), pages 5-59.
    42. Fama, Eugene F. & French, Kenneth R., 1989. "Business conditions and expected returns on stocks and bonds," Journal of Financial Economics, Elsevier, Elsevier, vol. 25(1), pages 23-49, November.
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    Cited by:
    1. Bansal, Ravi & Khatchatrian, Varoujan & Yaron, Amir, 2005. "Interpretable asset markets?," European Economic Review, Elsevier, Elsevier, vol. 49(3), pages 531-560, April.
    2. Tim Bollerslev & Hao Zhou, 2003. "Volatility puzzles: a unified framework for gauging return-volatility regressions," Finance and Economics Discussion Series, Board of Governors of the Federal Reserve System (U.S.) 2003-40, Board of Governors of the Federal Reserve System (U.S.).

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