Individual Stock Returns Volatility and Equity Anomalies
DOI:
https://doi.org/10.58886/jfi.v22i3.8572Keywords:
Asset Pricing, Equity Anomaly, EGARCHAbstract
We examine the explanatory power of stock return volatility on well-documented equity anomalies. We estimate the time-varying volatility of stock returns using the EGARCH model. Using the estimated stock return volatility, we first form a volatility factor and incorporate it into a wide range of asset pricing models. Second, we adjust the loadings of risk factors in these asset pricing models. We then assess the impact of these two volatility-associated model modifications in mitigating equity anomalies. Our findings indicate that the volatility modifications enhance the explanatory power of asset pricing models and can provide more parsimonious models. Notably, momentum effects are reduced when the volatility factor is applied. Additionally, size and value anomalies are significantly diminished when the volatility factor is included and the factor loadings are adjusted for volatility. Our results are robust across two sub-sample periods of the past 20 years and during economic recessions.
References
Ang, A., Chen, J., & Xing, Y. (2006). Downside risk. Review of Financial Studies, 19(4), 1191-1239. DOI: https://doi.org/10.1093/rfs/hhj035
Ang, A., Liu, J., & Schwarz, K. (2020). Using stocks or portfolios in tests of factor models. Journal of Financial and Quantitative Analysis, 55(3), 709-750. DOI: https://doi.org/10.1017/S0022109019000255
Avramov, D., & Chordia, T. (2006). Asset pricing models and financial market anomalies. Review of Financial Studies, 19(3), 1001-1040. DOI: https://doi.org/10.1093/rfs/hhj025
Ball, R. (1978). Anomalies in relationships between securities' yields and yield-surrogates. Journal of Financial Economics, 6(2-3), 103-126. DOI: https://doi.org/10.1016/0304-405X(78)90026-0
Baltussen, G., Van Bekkum, S., & Van Der Grient, B. (2018). Unknown unknowns: Uncertainty about risk and stock returns. Journal of Financial and Quantitative Analysis, 53(4), 1615-1651. DOI: https://doi.org/10.1017/S0022109018000480
Banz, R. W. (1981). The relationship between return and market value of common stocks. Journal of Financial Economics, 9(1), 3-18. DOI: https://doi.org/10.1016/0304-405X(81)90018-0
Barberis, N., Shleifer, A., & Vishny, R. (1998). A model of investor sentiment. Journal of Financial Economics, 49(3), 307-343. DOI: https://doi.org/10.1016/S0304-405X(98)00027-0
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, 32(3), 663-682. DOI: https://doi.org/10.1111/j.1540-6261.1977.tb01979.x
Bhandari, L. C. (1988). Debt/equity ratio and expected common stock returns: Empirical evidence. Journal of Finance, 43(2), 507-528. DOI: https://doi.org/10.1111/j.1540-6261.1988.tb03952.x
Black, F. (1972). Capital market equilibrium with restricted borrowing. Journal of Business, 45(3), 444-455. DOI: https://doi.org/10.1086/295472
Bollerslev, T. (1986). Generalized autoregressive conditional heteroskedasticity. Journal of Econometrics, 31(3), 307-327. DOI: https://doi.org/10.1016/0304-4076(86)90063-1
Brennan, M. J., Chordia, T., & Subrahmanyam, A. (1998). Alternative factor specifications, security characteristics, and the cross-section of expected stock returns. Journal of Financial Economics, 49(3), 345-373. DOI: https://doi.org/10.1016/S0304-405X(98)00028-2
Campbell, J. Y., Grossman, S. J., & Wang, J. (1993). Trading volume and serial correlation in stock returns. Quarterly Journal of Economics, 108(4), 905-939. DOI: https://doi.org/10.2307/2118454
Campbell, J. Y. (1996). Understanding risk and return. Journal of Political economy, 104(2), 298-345. DOI: https://doi.org/10.1086/262026
Campbell, J. Y., Giglio, S., Polk, C., & Turley, R. (2018). An intertemporal CAPM with stochastic volatility. Journal of Financial Economics, 128(2), 207-233. DOI: https://doi.org/10.1016/j.jfineco.2018.02.011
Chan, L. K., Hamao, Y., & Lakonishok, J. (1991). Fundamentals and stock returns in Japan. Journal of Finance, 46(5), 1739-1764. DOI: https://doi.org/10.1111/j.1540-6261.1991.tb04642.x
Cremers, M., Halling, M., & Weinbaum, D. (2015). Aggregate jump and volatility risk in the cross‐section of stock returns. Journal of Finance, 70(2), 577-614. DOI: https://doi.org/10.1111/jofi.12220
Daniel, K., Hirshleifer, D., & Subrahmanyam, A. (1998). Investor psychology and security market under‐and overreactions. Journal of Finance, 53(6), 1839-1885. DOI: https://doi.org/10.1111/0022-1082.00077
Daniel, K., & Moskowitz, T. J. (2016). Momentum crashes. Journal of Financial Economics, 122(2), 221-247. DOI: https://doi.org/10.1016/j.jfineco.2015.12.002
Engle, R. F. (1982). Autoregressive conditional heteroscedasticity with estimates of the variance of United Kingdom inflation. Econometrica: Journal of the Econometric Society, 987-1007. DOI: https://doi.org/10.2307/1912773
Engle, R. F., & Ng, V. K. (1991). Time-varying volatility and the dynamic behavior of the term structure. National Bureau of Economic Research, No. w3682. DOI: https://doi.org/10.3386/w3682
Fama, E. F., & French, K. R. (1992). The cross‐section of expected stock returns. Journal of Finance, 47(2), 427-465. DOI: https://doi.org/10.1111/j.1540-6261.1992.tb04398.x
Fama, E. F., & French, K. R. (1993). Common risk factors in the returns on stocks and bonds. Journal of Financial Economics, 33, 3–56. DOI: https://doi.org/10.1016/0304-405X(93)90023-5
Fama, E. F., & French, K. R. (1996). Multifactor explanations of asset pricing anomalies. Journal of Finance, 51(1), 55-84. DOI: https://doi.org/10.1111/j.1540-6261.1996.tb05202.x
Fama, E. F., & French, K. R. (2015). A five-factor asset pricing model. Journal of Financial Economics, 116(1), 1-22. DOI: https://doi.org/10.1016/j.jfineco.2014.10.010
Ferson, W. E., & Harvey, C. R. (1999). Conditioning variables and the cross section of stock returns. The Journal of Finance, 54(4), 1325-1360. DOI: https://doi.org/10.1111/0022-1082.00148
Grinblatt, M., & Han, B. (2005). Prospect theory, mental accounting, and momentum. Journal of Financial Economics, 78(2), 311-339. DOI: https://doi.org/10.1016/j.jfineco.2004.10.006
Hirshleifer, D., Lim, S. S., & Teoh, S. H. (2009). Driven to distraction: Extraneous events and underreaction to earnings news. Journal of Finance, 64(5), 2289-2325. DOI: https://doi.org/10.1111/j.1540-6261.2009.01501.x
Jegadeesh, N. (1990). Evidence of predictable behavior of security returns. Journal of Finance, 45(3), 881-898. DOI: https://doi.org/10.1111/j.1540-6261.1990.tb05110.x
Jegadeesh, N., Noh, J., Pukthuanthong, K., Roll, R., & Wang, J. (2019). Empirical tests of asset pricing models with individual assets: Resolving the errors-in-variables bias in risk premium estimation. Journal of Financial Economics, 133(2), 273-298. DOI: https://doi.org/10.1016/j.jfineco.2019.02.010
Jegadeesh, N., & Titman, S. (1993). Returns to buying winners and selling losers: Implications for stock market efficiency. Journal of Finance, 48(1), 65-91. DOI: https://doi.org/10.1111/j.1540-6261.1993.tb04702.x
Jordan, B. D., & Riley, T. B. (2015). Volatility and mutual fund manager skill. Journal of Financial Economics, 118(2), 289-298. DOI: https://doi.org/10.1016/j.jfineco.2015.06.012
Lettau, M., & Ludvigson, S. (2001). Resurrecting the (C) CAPM: A cross-sectional test when risk premia are time-varying. Journal of political economy, 109(6), 1238-1287. DOI: https://doi.org/10.1086/323282
Levy, H. (1978). Equilibrium in an Imperfect Market: A Constraint on the Number of Securities in the Portfolio. American Economic Review, 68(4), 643-658.
Lintner, J. (1965). Security prices, risk, and maximal gains from diversification. Journal of Finance, 20(4), 587-615. DOI: https://doi.org/10.1111/j.1540-6261.1965.tb02930.x
Litzenberger, R. H., & Ramaswamy, K. (1979). The effect of personal taxes and dividends on capital asset prices: Theory and empirical evidence. Journal of Financial Economics, 7(2), 163-195. DOI: https://doi.org/10.1016/0304-405X(79)90012-6
Lo, A. W., & MacKinlay, A. C. (1990). Data-snooping biases in tests of financial asset pricing models. Review of Financial Studies, 3(3), 431-467. DOI: https://doi.org/10.1093/rfs/3.3.431
McLean, R. D., & Pontiff, J. (2016). Does academic research destroy stock return predictability?. Journal of Finance, 71(1), 5-32. DOI: https://doi.org/10.1111/jofi.12365
Merton, R. C. (1987). A simple model of capital market equilibrium with incomplete information. DOI: https://doi.org/10.2307/2328367
Moreira, A., & Muir, T. (2017). Volatility‐managed portfolios. Journal of Finance, 72(4), 1611-1644. DOI: https://doi.org/10.1111/jofi.12513
Nelson, D. B. (1991). Conditional heteroskedasticity in asset returns: A new approach. Econometrica: Journal of the Econometric Society, 347-370. DOI: https://doi.org/10.2307/2938260
Pagan, A. R., & Schwert, G. W. (1990). Alternative models for conditional stock volatility. Journal of Econometrics, 45(1-2), 267-290. DOI: https://doi.org/10.1016/0304-4076(90)90101-X
Pástor, Ľ., & Stambaugh, R. F. (2003). Liquidity risk and expected stock returns. Journal of Political Economy, 111(3), 642-685. DOI: https://doi.org/10.1086/374184
Rosenberg, B., Reid, K., & Lanstein, R. (1985). Persuasive evidence of market inefficiency. Journal of Portfolio Management, 11(3), 9-16. DOI: https://doi.org/10.3905/jpm.1985.409007
Shanken, J. (1990). Intertemporal asset pricing: An empirical investigation. Journal of Econometrics, 45(1-2), 99-120. DOI: https://doi.org/10.1016/0304-4076(90)90095-B
Sharpe, W. F. (1964). Capital asset prices: A theory of market equilibrium under conditions of risk. Journal of Finance, 19(3), 425-442. DOI: https://doi.org/10.1111/j.1540-6261.1964.tb02865.x
