Lu, Richard and Yang, Chen-Chen and Wong, Wing-Keung (2018): Time Diversification: Perspectives from the Economic Index of Riskiness. Forthcoming in: Annals of Financial Economics
Preview |
PDF
MPRA_paper_89167.pdf Download (280kB) | Preview |
Abstract
Time diversification which is the idea of there being less riskiness over longer investment horizons is examined in this paper. Different from previous studies, this paper contributes to the literature by using the Aumann and Serrano index as a risk measure to examine whether there is any time diversification in stock investment by using the daily return of the S&P 500, the S&P 400, and the NASDAQ with both short and long holding periods and by using the block bootstrapping technique in the simulation. From returns of short (long) holding periods, we conclude that, in general, the riskiness of the shorter (longer) period is statistically greater than that of the longer (shorter) period. Our findings reject the hypothesis of no time diversification effect and reject the geometric Brownie motion process for the returns of different holding periods. The results could be due to short- and medium-term momentum and long-term contrarian. Our findings are useful to academics, investors, and policy makers in their decision making related to time diversification.
Item Type: | MPRA Paper |
---|---|
Original Title: | Time Diversification: Perspectives from the Economic Index of Riskiness |
English Title: | Time Diversification: Perspectives from the Economic Index of Riskiness |
Language: | English |
Keywords: | Time diversification, Economic index of riskiness, Investment horizon |
Subjects: | G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions |
Item ID: | 89167 |
Depositing User: | Wing-Keung Wong |
Date Deposited: | 25 Sep 2018 09:32 |
Last Modified: | 27 Sep 2019 21:24 |
References: | Alghalith, M., Guo, X., Wong, W.K., Zhu, L.X. 2016, A General Optimal Investment Model in the Presence of Background Risk, Annals of Financial Economics 11(1), 1650001. Alghalith, M., Guo, X., Niu, C.Z., Wong, W.K. 2017, Input Demand under Joint Energy and Output Prices Uncertainties, Asia Pacific Journal of Operational Research, 34, 1750018. Aumann, R.J., Serrano. R. (2008). An Economic Index of Riskiness. Journal of Political Economy 116(5), 810-836. Bai, Z.D., Hui, Y.C., Wong, W.K., Zitikis, R., 2012, Evaluating Prospect Performance: Making a Case for a Non-Asymptotic UMPU Test, Journal of Financial Econometrics 10(4), 703-732. Bai, Z.D., Liu, H.X., Wong, W.K., 2009a. Enhancement of the Applicability of Markowitz's Portfolio Optimization by Utilizing Random Matrix Theory. Mathematical Finance 19(4), 639-667. Bai, Z.D., Lui, H.X., Wong, W.K., (2009b), On the Markowitz Mean-Variance Analysis of Self-Financing Portfolios, Risk and Decision Analysis 1(1), 35-42. Bai, Z.D., Phoon, K.F., Wang, K.Y., Wong, W.K. 2013. The Performance of Commodity Trading Advisors: A Mean-Variance-Ratio Test Approach, North American Journal of Economics and Finance, 25, 188-201. Bodie, Z. (1995). On the Risk of Stocks in the Long Run. Financial Analysts Journal 51(3), 18-22. Chen, Y.T., Ho, K.Y., Tzeng, L.Y. (2014). Riskiness-minimizing spot-futures hedge ratio. Journal of Banking & Finance 40, 154-164. Fabozzi, F.J., Focardi, S.M., Kolm, P.N. (2006). A Simple Framework for Time Diversification. Journal of Investing 15(3), 8-17. Fabozzi, F.J., Fung, C.Y., Lam, K., Wong, W.K., 2013, Market Overreaction and Underreaction: Tests of the Directional and Magnitude Effects, Applied Financial Economics 23(18), 1469-1482. Farinelli, S., Tibiletti, L. (2008). Sharpe thinking in asset ranking with onesided measures. European Journal of Operational Research 185(3), 1542-1547. Fung, E.S., Lam, K., Siu, T.K., Wong, W.K., 2011, A New Pseudo Bayesian Model for Financial Crisis, Journal of Risk and Financial Management 4, 42-72. Guo, B., Darnell, M. (2005). Time Diversification and Long-Term Asset Allocation. Journal of Wealth Management 8(3), 65-76. Guo, X., Jiang, X.J., Wong, W.K. (2017), Stochastic Dominance and Omega Ratio: Measures to Examine Market Efficiency, Arbitrage Opportunity, and Anomaly, Economies 5, no. 4: 38. Guo, X., Levy, H., Lu, R., Wong, W.K., 2018. Could Omega Ratio perform better than Sharpe Ratio?, Social Science Research Network Working Paper Series 3198033 Guo, X., McAleer, M., Wong, W.K., Zhu, L.X., 2017, A Bayesian approach to excess volatility, short-term underreaction and long-term overreaction during financial crises, North American Journal of Economics and Finance 42, 346-358. Guo, X., Wagener, A., Wong, W.K., Zhu, L.X. (2017). The Two-Moment Decision Model with Additive Risks, Risk Management 20(1), 77-94. Guo, X., Wong, W.K. 2016, Multivariate Stochastic Dominance for Risk Averters and Risk Seekers, RAIRO - Operations Research 50(3), 575-586. Homm, U., Pigorsch, C. (2012). Beyond the Sharpe Ratio: An Application of the Aumann–Serrano Index to Performance Measurement. Journal of Banking & Finance 36(8), 2274-2284. Kritzman, M. (1994). What Practitioners Need to Know... About Time Diversification. Financial Analysts Journal, 50(1), 14-18. Lam, K., Liu, T.S., Wong, W.K. (2010), A pseudo-Bayesian model in financial decision making with implications to market volatility, under- and overreaction, European Journal of Operational Research 203(1), 166-175. Lam, K., Liu, T.S., Wong, W.K. (2012), A New Pseudo Bayesian Model with Implications to Financial Anomalies and Investors' Behaviors, Journal of Behavioral Finance 13(2), 93-107. Leung, P.L., Wong, W.K., 2008. On testing the equality of the multiple Sharpe Ratios, with application on the evaluation of iShares, Journal of Risk, 10(3), 1-16. Lu, R., Yang, C.C., Wong, W.K. 2018, Time Diversification: Perspectives from the Economic Index of Riskiness, Annals of Financial Economics, forthcoming. Ma, C., Wong, W.K., 2010. Stochastic dominance and risk measure: A decision-theoretic foundation for VaR and C-VaR. European Journal of Operational Research, 207(2), 927-935. Markowitz, H.M., 1952. Portfolio Selection. Journal of Finance 7, 77-91. Niu, C.Z., Guo, X., McAleer, M., Wong, W.K. 2018. Theory and Application of an Economic Performance Measure of Risk, International Review of Economics & Finance 56, 383-396. Niu, C.Z., Wong, W.K., Xu, Q.F., 2017. Kappa Ratios and (Higher-Order) Stochastic Dominance, Risk Management 19(3), 245–253. Niu, C.Z., Wong, W.K., Zhu, L.X. (2017). Farinelli and Tibiletti ratio and Stochastic Dominance, MPRA Paper No. 82737, University Library of Munich, Germany. Samuelson, P.A. (1963). Risk and uncertainty: a fallacy of large numbers. Scientia, 57, 108-113. Samuelson, P.A. (1969). Lifetime Portfolio Selection by Dynamic Stochastic Programming. Review of Economics and Statistics, 51(3), 239-246. Schnytzer, A, Westreich, S. (2013). A Global Index of Riskiness. Economics Letters, 118(3), 493-496. Schreiber, A. (2014). Economic Indices of Absolute and Relative Riskiness. Economic Theory 56(2), 309–331. Thorley, S.R. (1995). The Time-Diversification Controversy. Financial Analysts Journal 51(3). Wong, W.K., 2007. Stochastic dominance and mean-variance measures of profit and loss for business planning and investment. European Journal of Operational Research, 182(2), 829-843. Wong, W.K., Ma, C., 2008. Preferences over location-scale family. Economic Theory, 37(1), 119-146. W.K. Wong, J.A. Wright, S.C.P. Yam, S.P. Yung, 2012. A mixed Sharpe ratio. Risk and Decision Analysis, 3(1-2), 37-65. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/89167 |