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Relation between time-series and cross-sectional effects of idiosyncratic variance on stock returns

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  • Guo, Hui
  • Savickas, Robert

Abstract

Consistent with the post-1962 US evidence by Ang et al. [Ang, A., Hodrick, R., Xing Y., Zhang, X., 2006. The cross-section of volatility and expected returns. Journal of Finance 51, 259-299], we find that stocks with high idiosyncratic variance (IV) have low CAPM-adjusted expected returns in both pre-1962 US and modern G7 data. We also test in three ways the conjecture that IV is a proxy of systematic risk. First, the return difference between low and high IV stocks - that we dub as IVF - is a priced factor in the cross-section of stock returns. Second, loadings on lagged market variance and lagged average IV account for a significant portion of variation in average returns on portfolios sorted by IV. Third, the variance of IVF correlates closely with average IV, and the two variables have similar explanatory power for the time-series and cross-sectional stock returns.

Suggested Citation

  • Guo, Hui & Savickas, Robert, 2010. "Relation between time-series and cross-sectional effects of idiosyncratic variance on stock returns," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1637-1649, July.
    • Handle: RePEc:eee:jbfina:v:34:y:2010:i:7:p:1637-1649
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    as
    1. Turan G. Bali & Nusret Cakici & Xuemin (Sterling) Yan & Zhe Zhang, 2005. "Does Idiosyncratic Risk Really Matter?," Journal of Finance, American Finance Association, vol. 60(2), pages 905-929, April.
    2. Joao Gomes & Leonid Kogan & Lu Zhang, 2003. "Equilibrium Cross Section of Returns," Journal of Political Economy, University of Chicago Press, vol. 111(4), pages 693-732, August.
    3. Shalen, Catherine T, 1993. "Volume, Volatility, and the Dispersion of Beliefs," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 405-434.
    4. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    5. Lakonishok, Josef & Shleifer, Andrei & Vishny, Robert W, 1994. "Contrarian Investment, Extrapolation, and Risk," Journal of Finance, American Finance Association, vol. 49(5), pages 1541-1578, December.
    6. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    7. Miller, Edward M, 1977. "Risk, Uncertainty, and Divergence of Opinion," Journal of Finance, American Finance Association, vol. 32(4), pages 1151-1168, September.
    8. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    9. repec:bla:jfinan:v:59:y:2004:i:4:p:1743-1776 is not listed on IDEAS
    10. Hansen, Lars Peter & Jagannathan, Ravi, 1997. "Assessing Specification Errors in Stochastic Discount Factor Models," Journal of Finance, American Finance Association, vol. 52(2), pages 557-590, June.
    11. repec:bla:jfinan:v:44:y:1989:i:2:p:479-86 is not listed on IDEAS
    12. Jagannathan, Ravi & Wang, Zhenyu, 1996. "The Conditional CAPM and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 51(1), pages 3-53, March.
    13. David Easley & Soeren Hvidkjaer & Maureen O'Hara, 2002. "Is Information Risk a Determinant of Asset Returns?," Journal of Finance, American Finance Association, vol. 57(5), pages 2185-2221, October.
    14. Karl B. Diether & Christopher J. Malloy & Anna Scherbina, 2002. "Differences of Opinion and the Cross Section of Stock Returns," Journal of Finance, American Finance Association, vol. 57(5), pages 2113-2141, October.
    15. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Paul Labys, 2003. "Modeling and Forecasting Realized Volatility," Econometrica, Econometric Society, vol. 71(2), pages 579-625, March.
    16. Ang, Andrew & Hodrick, Robert J. & Xing, Yuhang & Zhang, Xiaoyan, 2009. "High idiosyncratic volatility and low returns: International and further U.S. evidence," Journal of Financial Economics, Elsevier, vol. 91(1), pages 1-23, January.
    17. Lu Zhang, 2005. "The Value Premium," Journal of Finance, American Finance Association, vol. 60(1), pages 67-103, February.
    18. Venkat R. Eleswarapu, 2004. "The Predictability of Aggregate Stock Market Returns: Evidence Based on Glamour Stocks," The Journal of Business, University of Chicago Press, vol. 77(2), pages 275-294, April.
    19. Basu, Sanjoy, 1983. "The relationship between earnings' yield, market value and return for NYSE common stocks : Further evidence," Journal of Financial Economics, Elsevier, vol. 12(1), pages 129-156, June.
    20. Martin Lettau & Sydney Ludvigson, 2001. "Resurrecting the (C)CAPM: A Cross-Sectional Test When Risk Premia Are Time-Varying," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1238-1287, December.
    21. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross‐Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    22. Hui Guo & Robert Savickas, 2008. "Average Idiosyncratic Volatility in G7 Countries," The Review of Financial Studies, Society for Financial Studies, vol. 21(3), pages 1259-1296, May.
    23. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    24. Asquith, Paul & Pathak, Parag A. & Ritter, Jay R., 2005. "Short interest, institutional ownership, and stock returns," Journal of Financial Economics, Elsevier, vol. 78(2), pages 243-276, November.
    25. Ľuboš Pástor & Veronesi Pietro, 2003. "Stock Valuation and Learning about Profitability," Journal of Finance, American Finance Association, vol. 58(5), pages 1749-1789, October.
    26. Hui Guo & Robert F. Whitelaw, 2006. "Uncovering the Risk–Return Relation in the Stock Market," Journal of Finance, American Finance Association, vol. 61(3), pages 1433-1463, June.
    27. Whitelaw, Robert F, 1994. "Time Variations and Covariations in the Expectation and Volatility of Stock Market Returns," Journal of Finance, American Finance Association, vol. 49(2), pages 515-541, June.
    28. Bali, Turan G. & Cakici, Nusret, 2010. "World market risk, country-specific risk and expected returns in international stock markets," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1152-1165, June.
    29. Hahn, Jaehoon & Lee, Hangyong, 2006. "Yield Spreads as Alternative Risk Factors for Size and Book-to-Market," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 41(2), pages 245-269, June.
    30. repec:bla:jfinan:v:58:y:2003:i:5:p:1749-1790 is not listed on IDEAS
    31. Campbell, John Y, 1993. "Intertemporal Asset Pricing without Consumption Data," American Economic Review, American Economic Association, vol. 83(3), pages 487-512, June.
    32. Chen, Joseph & Hong, Harrison & Stein, Jeremy C., 2002. "Breadth of ownership and stock returns," Journal of Financial Economics, Elsevier, vol. 66(2-3), pages 171-205.
    33. Jonathan B. Berk & Richard C. Green & Vasant Naik, 1999. "Optimal Investment, Growth Options, and Security Returns," Journal of Finance, American Finance Association, vol. 54(5), pages 1553-1607, October.
    34. Harvey, Campbell R, 1991. "The World Price of Covariance Risk," Journal of Finance, American Finance Association, vol. 46(1), pages 111-157, March.
    35. Fama, Eugene F. & French, Kenneth R., 1997. "Industry costs of equity," Journal of Financial Economics, Elsevier, vol. 43(2), pages 153-193, February.
    36. Martin Lettau & Jessica A. Wachter, 2007. "Why Is Long‐Horizon Equity Less Risky? A Duration‐Based Explanation of the Value Premium," Journal of Finance, American Finance Association, vol. 62(1), pages 55-92, February.
    37. repec:bla:jfinan:v:53:y:1998:i:2:p:575-603 is not listed on IDEAS
    38. Merton, Robert C, 1987. "A Simple Model of Capital Market Equilibrium with Incomplete Information," Journal of Finance, American Finance Association, vol. 42(3), pages 483-510, July.
    39. Shanken, Jay, 1992. "On the Estimation of Beta-Pricing Models," The Review of Financial Studies, Society for Financial Studies, vol. 5(1), pages 1-33.
    40. Glosten, Lawrence R & Jagannathan, Ravi & Runkle, David E, 1993. "On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks," Journal of Finance, American Finance Association, vol. 48(5), pages 1779-1801, December.
    41. Petkova, Ralitsa & Zhang, Lu, 2005. "Is value riskier than growth?," Journal of Financial Economics, Elsevier, vol. 78(1), pages 187-202, October.
    42. Bali, Turan G. & Cakici, Nusret, 2008. "Idiosyncratic Volatility and the Cross Section of Expected Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 43(1), pages 29-58, March.
    43. Ralitsa Petkova, 2006. "Do the Fama–French Factors Proxy for Innovations in Predictive Variables?," Journal of Finance, American Finance Association, vol. 61(2), pages 581-612, April.
    44. Campbell, John Y., 1987. "Stock returns and the term structure," Journal of Financial Economics, Elsevier, vol. 18(2), pages 373-399, June.
    45. Moerman, Gerard A. & van Dijk, Mathijs A., 2010. "Inflation risk and international asset returns," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 840-855, April.
    46. John Y. Campbell & Tuomo Vuolteenaho, 2004. "Bad Beta, Good Beta," American Economic Review, American Economic Association, vol. 94(5), pages 1249-1275, December.
    47. Basu, S, 1977. "Investment Performance of Common Stocks in Relation to Their Price-Earnings Ratios: A Test of the Efficient Market Hypothesis," Journal of Finance, American Finance Association, vol. 32(3), pages 663-682, June.
    48. Steven X. Wei & Chu Zhang, 2006. "Why Did Individual Stocks Become More Volatile?," The Journal of Business, University of Chicago Press, vol. 79(1), pages 259-292, January.
    49. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    50. Jiang, George J. & Xu, Danielle & Yao, Tong, 2009. "The Information Content of Idiosyncratic Volatility," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 44(1), pages 1-28, February.
    51. Fama, Eugene F & French, Kenneth R, 1996. "Multifactor Explanations of Asset Pricing Anomalies," Journal of Finance, American Finance Association, vol. 51(1), pages 55-84, March.
    52. Fu, Fangjian, 2009. "Idiosyncratic risk and the cross-section of expected stock returns," Journal of Financial Economics, Elsevier, vol. 91(1), pages 24-37, January.
    53. Long Chen & Xinlei Zhao, 2009. "Return Decomposition," The Review of Financial Studies, Society for Financial Studies, vol. 22(12), pages 5213-5249, December.
    54. Ahn, Seung C. & Gadarowski, Christopher, 2004. "Small sample properties of the GMM specification test based on the Hansen-Jagannathan distance," Journal of Empirical Finance, Elsevier, vol. 11(1), pages 109-132, January.
    55. Merton, Robert C., 1980. "On estimating the expected return on the market : An exploratory investigation," Journal of Financial Economics, Elsevier, vol. 8(4), pages 323-361, December.
    56. Eugene F. Fama & Kenneth R. French, 2006. "The Value Premium and the CAPM," Journal of Finance, American Finance Association, vol. 61(5), pages 2163-2185, October.
    57. Boehme, Rodney D. & Danielsen, Bartley R. & Sorescu, Sorin M., 2006. "Short-Sale Constraints, Differences of Opinion, and Overvaluation," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 41(2), pages 455-487, June.
    58. Yu, Wayne W. & Lui, Evans C.K. & Wang, Jacqueline W., 2010. "The predictive power of the implied volatility of options traded OTC and on exchanges," Journal of Banking & Finance, Elsevier, vol. 34(1), pages 1-11, January.
    59. repec:bla:jfinan:v:58:y:2003:i:3:p:975-1008 is not listed on IDEAS
    60. Levy, Haim, 1978. "Equilibrium in an Imperfect Market: A Constraint on the Number of Securities in the Portfolio," American Economic Review, American Economic Association, vol. 68(4), pages 643-658, September.
    61. Ball, Ray, 1978. "Anomalies in relationships between securities' yields and yield-surrogates," Journal of Financial Economics, Elsevier, vol. 6(2-3), pages 103-126.
    62. Doukas, John A. & Kim, Chansog (Francis) & Pantzalis, Christos, 2006. "Divergence of Opinion and Equity Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 41(3), pages 573-606, September.
    63. Charles Cao & Timothy Simin & Jing Zhao, 2008. "Can Growth Options Explain the Trend in Idiosyncratic Risk?," The Review of Financial Studies, Society for Financial Studies, vol. 21(6), pages 2599-2633, November.
    64. Taylor, Stephen J. & Yadav, Pradeep K. & Zhang, Yuanyuan, 2010. "The information content of implied volatilities and model-free volatility expectations: Evidence from options written on individual stocks," Journal of Banking & Finance, Elsevier, vol. 34(4), pages 871-881, April.
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