The goal of this study is to evaluate the importance of skewness in investor utility when predicting stock market return by financial ratio variable. We use the daily time series of four major stock market indices of Shanghai Stock Exchanges and Shenzhen Stock Exchanges. We find evidence of predictability of price-to-earnings ratio and price-to-book ratio on the market returns. Using the evidence of predictability, we find evidence that including skewness leads higher utility. The comparison among different ways to calculate the skewness indicate the calculation method mostly used in popular statistical software may lead to the highest utility.
Campbell, J.Y. and Shiller, R.J. (1988a) The Dividend-Price Ratio and Expectations of Future Dividends and Discount Factors. Review of Financial Studies, 1, 195-228. https://doi.org/10.1093/rfs/1.3.195
Campbell, J.Y. and Shiller, R.J. (1988b) Stock Prices, Earnings, and Expected Dividends. Journal of Finance, 43, 661-676. https://doi.org/10.1111/j.1540-6261.1988.tb04598.x
Fama, E.F. and French, K.R. (1988) Dividend Yields and Expected Stock Returns. Journal of Financial Economics, 22, 3-25. https://doi.org/10.1016/0304-405X(88)90020-7
Kothari, S.P. and Shanken, J. (1997) Book-To-Market, Dividend Yield, and Expected Market Returns: A Time Series Analysis. Journal of Financial Economics, 44, 169-203. https://doi.org/10.1016/S0304-405X(97)00002-0
Lamont, O. (1998) Earnings and Expected Returns. Journal of Finance, 53, 1563-1587. https://doi.org/10.1111/0022-1082.00065
Lewellen, J. (2004) Predicting Returns with Financial Ratios. Journal of Financial Economics, 74, 209-235.
Campbell, J.Y. and Yogo, M. (2006) Efficient Tests of Stock Return Predictability. Journal of Financial Economics, 81, 27-60.
Chen, S.S. (2009) Predicting the Bear Stock Market: Macroeconomic Variables as Leading Indicators. Journal of Banking and Finance, 33, 211-223.
Westerlund, J. and Narayan, P. (2012) Does the Choice of Estimator Matter When Forecasting Returns? Journal of Banking and Finance, 36, 2632-2640.
Westerlund, J. and Narayan, P. (2015) A Random Coefficient Approach to the Predictability of Stock Returns in Panels. Journal of Financial Econometrics, 13, 605-664. https://doi.org/10.1093/jjfinec/nbu003
Ibbotson, R.G. (1975) Price Performance of Common Stock New Issues. Journal of Financial Economics, 2, 235-272.
Prakash, A.J., de Boyrie, M. and Moncarz, R. (2000) Is CAPM Applicable to the Latin American Capital Markets. Paper Presented at the International Trace and Finance Meetings, Montpellier.
Tobin, J. (1958) Liquidity Preference as Behavior towards Risk. Review of Economic Studies, 25, 65-86. https://doi.org/10.2307/2296205
Pratt, J.W. (1964) Risk Aversion in the Small and in the Large. Econometrica, 32, 122-136. https://doi.org/10.2307/1913738
Arditti, F.D. (1967) Risk and the Required Return on Equity. Journal of Finance, 22, 19-36. https://doi.org/10.1111/j.1540-6261.1967.tb01651.x
Kraus, A. and Litzenberger, R.H. (1976) Skewness Preference and the Valuation of Risk Assets. Journal of Finance, 31, 1085-1100.
Prakash, A.J. and Bear, R.M. (1986) A Simplifying Performance Measure Recognizing Skewness. Financial Review, 21, 135-144. https://doi.org/10.1111/j.1540-6288.1986.tb01112.x
Stephens, A. and Proffitt, D. (1991) Performance Measurement When Return Distributions Are Nonsymmetric. Quarterly Journal of Business and Economics, 30, 23-41.
Lai, T.Y. (1991) Portfolio Selection with Skewness: A Multiple-Objective Approach. Review of Quantitative Finance and Accounting, 1, 293-305. https://doi.org/10.1007/BF02408382
Chunhachinda, P., Dandapanib, K., Hamidb, S. and Prakash, A.J. (1997) Portfolio Selection and Skewness: Evidence from International Stock Markets. Journal of Banking & Finance, 21, 143-167.
Prakash, A.J., Chang, C.H. and Pactwa, T.E. (2003) Selecting a Portfolio with Skewness: Recent Evidence from US, European, and Latin American Equity Markets. Journal of Banking and Finance, 27, 1375-1390.
Bhattacharya, N. (2003) From Mean Variance Space to Mean Skewness Space—Implications for Simultaneous Risk Seeking and Risk Averting Behavior. http://ssrn.com/author=115728
Patton, A.J. (2004) On the Out-of-Sample Importance of Skewness and Asymmetric Dependence for Asset Allocation. Journal of Financial Econometrics, 2, 130-168. https://doi.org/10.1093/jjfinec/nbh006
Jondeau, E. and Rockinger, M. (2006) Optimal Portfolio Allocation under Higher Moments. European Financial Management, 12, 29-55. https://doi.org/10.1111/j.1354-7798.2006.00309.x
Mitton, T. and Vorkink, K. (2007) Equilibrium under Diversification and the Preference for Skewness. Review of Financial Studies, 20, 1255-1288. https://doi.org/10.1093/revfin/hhm011
Westerlund, J. and Narayan, P. (2015) Testing for Predictability in Conditionally Heteroskedastic Stock Returns. Journal of Financial Econometrics, 13, 342-375. https://doi.org/10.1093/jjfinec/nbu001
Levy, H. and Markowitz, H. (1979) Approximating Expected Utility by a Function of Mean and Variance. American Economic Review, 69, 308-317.
Hlawitschka, W. (1994) The Empirical Nature of Taylor-Series Approximation to Expected Utility. American Economic Review, 84, 713-719.
Scott, R. and Horvath, P. (1980) On the Direction of Preference for Moments of Higher Order than the Variance. Journal of Finance, 35, 915-919. https://doi.org/10.1111/j.1540-6261.1980.tb03509.x
Pearson, K. (1895) Contributions to the Mathematical Theory of Evolution, II: Skew Variation in Homogeneous Material. Transaction of the Royal Philosophical Society, Series A, 186, 343-414.
Jones, D.N. and Gill, C.A. (1998) Comparing Measures of Sample Skewness and Kurtosis. The Statistician, 47, 183-189. https://doi.org/10.1111/1467-9884.00122
Yule, G.U. and Kendall, M.G. (1950) An Introduction to the Theory of Statistics. 3rd Edition, Harper Publishing Company, 162-163.
Clark, C.T. and Schkade, L.L. (1974) Statistical Analysis for Administrative Decisions. 2nd Edition, South-Western Publishing Co., 42.