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Multi-horizon Markowitz portfolio performance appraisals: A general approach

  • Briec, Walter
  • Kerstens, Kristiaan

This article extends the analysis of multi-horizon mean-variance portfolio analysis in the Morey and Morey [Mutual fund performance appraisals: a multi-horizon perspective with endogenous benchmarking. Omega 1999;27:241-58] article in several ways. First, instead of either proportionally contracting risk dimensions or proportionally expanding return dimensions, a more general efficiency measure simultaneously attempts to reduce risk and to expand return over all time periods. Second, a duality relation is established between this generalized multi-horizon efficiency measure and an indirect mean-variance utility function, underscoring the natural interpretation of this generalized efficiency measure in terms of investor's preferences. Furthermore, the need to properly apply time discounting in multi-horizon mean-variance portfolio problems is argued for. An empirical illustration based on the original mutual fund data set in Morey and Morey [Mutual fund performance appraisals: a multi-horizon perspective with endogenous benchmarking. Omega 1999;27:241-58] is added to contrast the new and the original approaches.

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Article provided by Elsevier in its journal Omega.

Volume (Year): 37 (2009)
Issue (Month): 1 (February)
Pages: 50-62

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Handle: RePEc:eee:jomega:v:37:y:2009:i:1:p:50-62
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  1. Allen N. Berger & David B. Humphrey, 1997. "Efficiency of financial institutions: international survey and directions for future research," Finance and Economics Discussion Series 1997-11, Board of Governors of the Federal Reserve System (U.S.).
  2. Hakansson, Nils H, 1971. "Multi-Period Mean-Variance Analysis: Toward A General Theory of Portfolio Choice," Journal of Finance, American Finance Association, vol. 26(4), pages 857-84, September.
  3. Leippold, Markus & Trojani, Fabio & Vanini, Paolo, 2004. "A geometric approach to multiperiod mean variance optimization of assets and liabilities," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1079-1113, March.
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  5. Cook, Wade D. & Hababou, Moez, 2001. "Sales performance measurement in bank branches," Omega, Elsevier, vol. 29(4), pages 299-307, August.
  6. Walter Briec & Christine Comes & Kristiaan Kerstens, 2005. "Temporal Technical and Profit Efficiency Measurement: Definitions, Duality and Aggregation Results," Working Papers 2005-ECO-01, IESEG School of Management.
  7. Michael C. Jensen, 1968. "The Performance Of Mutual Funds In The Period 1945–1964," Journal of Finance, American Finance Association, vol. 23(2), pages 389-416, 05.
  8. Morey, Matthew R. & Morey, Richard C., 1999. "Mutual fund performance appraisals: a multi-horizon perspective with endogenous benchmarking," Omega, Elsevier, vol. 27(2), pages 241-258, April.
  9. Murthi, B. P. S. & Choi, Yoon K. & Desai, Preyas, 1997. "Efficiency of mutual funds and portfolio performance measurement: A non-parametric approach," European Journal of Operational Research, Elsevier, vol. 98(2), pages 408-418, April.
  10. Premachandra, IM & Powell, John G & Shi, Jing, 1998. "Measuring the Relative Efficiency of Fund Management Strategies in New Zealand Using a Spreadsheet-based Stochastic Data Envelopment Analysis Model," Omega, Elsevier, vol. 26(2), pages 319-331, April.
  11. Kleine, A., 2004. "A general model framework for DEA," Omega, Elsevier, vol. 32(1), pages 17-23, February.
  12. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
  13. Zenios, Stavros A. & Holmer, Martin R. & McKendall, Raymond & Vassiadou-Zeniou, Christiana, 1998. "Dynamic models for fixed-income portfolio management under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 22(10), pages 1517-1541, August.
  14. Duan Li & Wan-Lung Ng, 2000. "Optimal Dynamic Portfolio Selection: Multiperiod Mean-Variance Formulation," Mathematical Finance, Wiley Blackwell, vol. 10(3), pages 387-406.
  15. Keh, Hean Tat & Chu, Singfat, 2003. "Retail productivity and scale economies at the firm level: a DEA approach," Omega, Elsevier, vol. 31(2), pages 75-82, April.
  16. N. J. Jobst & M. D. Horniman & C. A. Lucas & G. Mitra, 2001. "Computational aspects of alternative portfolio selection models in the presence of discrete asset choice constraints," Quantitative Finance, Taylor & Francis Journals, vol. 1(5), pages 489-501.
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