Abstract
In this paper, we explore the theoretical aspects of portfolio performance measures. First, we survey the available portfolio performance evaluation techniques, starting with the two-parameter mean-variance based measures. Then, we look at the multi-factor APT-based measures. This leads us into the higher-moments based measures, which incorporate asymmetrical returns and investors’ preference for skewness. We also include some nonparametric techniques, which are popular in the evaluation of mutual funds. Next, we define the reward-to-variability ratio. As others have reported, the reward-to-variability ratio computed on the basis of sample data is not an unbiased estimator. In addition, intervaling may bias the value of the estimator. So, we obtain an exact probability distribution for one of the performance measures. This exact probability distribution should help in obtaining a better estimator of the reward-to-variability statistic and in hypothesis testing pertaining to the portfolio performance measures.
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References
Mg, J.S., and J.H. Chua (1979), “Composite Measures for the Evaluation of Investment Performance”, Journal of Financial and Quantitative Analysis, 14/2, 361–384.
Arditti, F.D. (1967), “Risk and the Required Return on Equity”, The Journal of Finance, 22/1, 19–36.
Arditti, F.D. (1971), “Mother Look at Mutual Fund Performance”, Journal of Financialand Quantitative Analysis, 6/3, 909–912.
Arditti, F.D. (1975), “Skewness and Investors’ Decisions: A Reply”, Journal of Financial and Quantitative Analysis, 10/1, 173–176.
Bower, R.S., and R. F. Wippern (1969), “Risk-Return Measurement in Portfolio Selection and Performance Appraisal Models: Progress Report”, Journal of Financial and Quantitative Analysis, 4/4, 417–447.
Chang, E.C., and W.G. Lewellen (1985), “M Arbitrage Pricing Approach to Evaluating Mutual Fund Performance”, The Journal of Financial Research, 8/1, 15–30.
Chen, Z., and P.J. Knez (1994), “Foundation for a Class of Factor Pricing Models”, Mathematical Finance, 4/2, 121–141.
Chunhachinda, P., K. Dandapani, S. Hamid, and A.J. Prakash (1994), “Efficacy of Portfolio Performance Measures: An Evaluation”, Quarterly Journal of Business and Economics, 33/4, 74–87.
Connor, G. (1984), “A Unified Beta Pricing Theory”, Journal of Economic Theory, 34, 13–34.
Connor, G., and R.A. Korajczyk (1986), “Performance Measurement with the Arbitrage Pricing Theory: A New Framework for Analysis”, Journal of Financial Economics, 15/3, 373–394.
Cumby, R.E., and J.D. Glen (1990), “Evaluating the Performance of International Mutual Funds”, The Journal of Finance, 45/2, 497–521.
Dybvig, P.H., and S.A. Ross (1985), “The Analytics of Performance Measurement Using a Security Market Line”, The Journal of Finance, 40/2, 401–416.
Friend, I., and M. Blume (1970), “Measurement of Portfolio Performance Under Uncertainty”, The American Economic Review, 60, 561–575.
Grinblatt, M., and S. Titman (1989), “Portfolio Performance Evaluation: Old Issues and New Insights”, Review of Financial Studies, 2/3, 393–421.
Hansen, L.P., and R. Jagannathan (1991), “Implications of Security Market Data for Models of Dynamic Economies”, Journal of Political Economy, 99/2, 225–262.
He, J., L. Ng, and C. Zhang (1996), “Asset Pricing Specification Errors and Performance Evaluation”, Manuscript; Financial Management Association’s Competitive Paper Award - Investments.
Jean, W. H. (1971), “The Extension of Portfolio Analysis to Three or More Parameters”, Journal of Financial and Quantitative Analysis, 6/1, 505–515.
Jean, W. H. (1973), “More on Multidimensional Portfolio Pricing”, Journal of Financial and Quantitative Analysis, 8/3, 475–490.
Jensen, M. C. (1968), “The Performance of Mutual Funds in the Period 1945–1964”, The Journal of Finance, 23/2, 389–416.
Jobson, J.D., and B. M. Korkie (1981), “Performance Hypothesis Testing with the Sharpe and Treynor Measures”, The Journal of Finance, 36/4, 889–908.
Kendall, M.G., and A. Stuart (1963), The Advanced Theory of Statistics, Charles Griffin and Company Ltd., London.
Kraus, A., and R.H. Litzenberger (1976), “Skewness Preference and the Valuation of Risk Assets”, The Journal of Finance, 31/4, 1085–1100.
Levhari, D., and H. Levy (1977), “The Capital Asset Pricing Model and the Investment Horizon”, Review of Economics and Statistics, 59/1, 92–104.
Levy, H. (1981), “The CAPM and the Investment Horizon”, Journal of Portfolio Management, 7/2, 32–40.
Lintner, J. (1965), “The Valuation of Risk Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets”, Review of Economics and Statistics, 47, 13–37.
Markowitz, H. (1952), “Portfolio Selection”, The Journal of Finance, 7/1, 77–91.
Miller, R.E., and A.K. Gehr (1978), “Sample Size Bias and Sharpe’s Performance Measure: A Note”, Journal of Financial and Quantitative Analysis, 13/5, 943–946.
Morris, R.C., and P.F. Pope (1981), “The Jensen Measure of Portfolio Performance in an Arbitrage Pricing Theory Context”, Journal of Business Finance & Accounting, 8/2, 203–220.
Parhizgari, A.M., K. Dandapani, and A.J. Prakash (1993), “Arbitrage Pricing Theory and the Investment Horizon”, Journal of Business Finance & Accounting, 20/1, 27–40.
Peasnell, K.V., L.C.L. Skerratt, and P.A. Taylor (1979), “An Arbitrage Rationale for Tests of Mutual Fund Performance”, Journal of Business Finance and Accounting, 6/3, 373–400.
Peterson, D., and M.L. Rice (1980), “A Note on the Ambiguity in Portfolio Performance Measures”, The Journal of Finance, 35/5, 1251–1256.
Prakash, A.J., and R.M. Bear (1986), “A Simplifying Performance Measure Recognizing Skewness”, The Financial Review, 21/1, 135–144.
Roll, R. (1978), “Ambiguity when Performance Is Measured by the Securities Market Line”, The Journal of Finance, 33/4, 1051–1069.
Rubinstein, M.E. (1973), “The Fundamental Theorem of Parameter-Preference Security Valuation”, Journal of Financial and Quantitative Analysis, 8/1, 61–69.
Sharpe, W.F. (1964), “Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk”, The Journal of Finance, 19/3, 425–442.
Sharpe, W.F. (1966), “Mutual Fund Performance”, Journal of Business, 39/1, Part II, 119–138.
Smith, K.V., and D.A. Tito (1969), “Risk-Return Measures of Ex Post Portfolio Performance”, Journal of Financial and Quantitative Analysis, 4/4, 449–471.
Stephens, A., and D. Proffitt (1991), “Performance Measurement When Return Distributions Are Nonsymmetric”, Quarterly Journal of Business and Economics, 30, 23–41.
Treynor, J.L. (1965), “How to Rate Management of Investment Funds”, Harvard Business Review, 43, 63–75.
Ward, C.W.R, and A. Saunders (1976), “U.K. Unit Trust Performance 1964–74”, Journal of Business Finance & Accounting, 3/4, 83–100.
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Ghai, G.L., Pactwa, T.E., Prakash, A.J. (2000). Portfolio Performance Measures: A Brief Survey and Hypothesis Testing. In: Zanakis, S.H., Doukidis, G., Zopounidis, C. (eds) Decision Making: Recent Developments and Worldwide Applications. Applied Optimization, vol 45. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-4919-9_10
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DOI: https://doi.org/10.1007/978-1-4757-4919-9_10
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