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Least Squares Predictions and Mean-Variance Analysis

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  • Sentana, Enrique

Abstract

We compare the Sharpe ratios of investment funds which combine one riskless and one risky asset following: i) timing strategies which forecast excess returns using simple regressions; ii) a strategy which uses multiple regression instead; and iii) a passive allocation which combines the funds in i) with constant weightings. We show that iii) dominates i) and ii), as it implicitly uses the linear forecasting rule that maximises the Sharpe ratio of actively traded portfolios, but the relative ranking of i) and ii) is generally unclear. We also discuss under what circumstances the performance of ii) and iii) coincides.

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Bibliographic Info

Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 2088.

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Date of creation: Feb 1999
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Handle: RePEc:cpr:ceprdp:2088

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Related research

Keywords: Forecasting; Market timing strategies; Portfolio Allocation; Sharpe Ratios;

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References

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  1. Arellano, Manuel, 1989. "On the efficient estimation of simultaneous equations with covariance restrictions," Journal of Econometrics, Elsevier, vol. 42(2), pages 247-265, October.
  2. Admati, Anat R & Pfleiderer, Paul, 1990. "Direct and Indirect Sale of Information," Econometrica, Econometric Society, vol. 58(4), pages 901-28, July.
  3. Hansen, Lars Peter & Richard, Scott F, 1987. "The Role of Conditioning Information in Deducing Testable," Econometrica, Econometric Society, vol. 55(3), pages 587-613, May.
  4. Chen, Zhiwu & Knez, Peter J, 1996. "Portfolio Performance Measurement: Theory and Applications," Review of Financial Studies, Society for Financial Studies, vol. 9(2), pages 511-55.
  5. Sanford J Grossman & Joseph E Stiglitz, 1997. "On the Impossibility of Informationally Efficient Markets," Levine's Working Paper Archive 1908, David K. Levine.
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Cited by:
  1. Allan Timmermann & Andrew Patton, 2004. "Properties of Optimal Forecasts under Asymmetric Loss and Nonlinearity," Working Papers wp04-05, Warwick Business School, Finance Group.
  2. Francisco Penaranda, 2007. "Portfolio choice beyond the traditional approach," LSE Research Online Documents on Economics 24481, London School of Economics and Political Science, LSE Library.
  3. Francisco Peñaranda & Enrique Sentana, 2004. "Spanning Tests In Return And Stochastic Discount Factor Mean-Variance Frontiers: A Unifying Approach," Working Papers wp2004_0410, CEMFI.
  4. Patton, Andrew J & Timmermann, Allan G, 2003. "Properties of Optimal Forecasts," CEPR Discussion Papers 4037, C.E.P.R. Discussion Papers.
  5. Enrique Sentana, 2009. "The econometrics of mean-variance efficiency tests: a survey," Econometrics Journal, Royal Economic Society, vol. 12(3), pages C65-C101, November.

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