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Understanding Portfolio Efficiency with Conditioning Information

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  • Francisco Peñaranda

Abstract

Contrary to the classic framework of passive strategies, if investors exploit return predictability through active strategies then there is a tension between the mean-variance frontiers that drive empirical work and the mean-variance preferences that are used in finance theory. We show that standard preferences choose portfolios on a frontier that has not been studied in the literature, develop new betas and Sharpe ratios to construct portfolio efficiency tests, and highlight some concerns with current empirical work. An empirical application to active strategies on stock portfolios sorted by size and book-to-market confirms the relevance of our theoretical results.

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Paper provided by Financial Markets Group in its series FMG Discussion Papers with number dp626.

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Date of creation: Jan 2009
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Handle: RePEc:fmg:fmgdps:dp626

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Web page: http://www.lse.ac.uk/fmg/

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  1. Francisco Peñaranda & Enrique Sentana, 2007. "Duality in mean-variance frontiers with conditioning information," Economics Working Papers 1058, Department of Economics and Business, Universitat Pompeu Fabra.
  2. Ferson, Wayne & Siegel, Andrew F. & Xu, Pisun (Tracy), 2006. "Mimicking Portfolios with Conditioning Information," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 41(03), pages 607-635, September.
  3. Suleyman Basak & Georgy Chabakauri, 2010. "Dynamic Mean-Variance Asset Allocation," Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 2970-3016, August.
  4. Wayne E. Ferson, 2001. "The Efficient Use of Conditioning Information in Portfolios," Journal of Finance, American Finance Association, vol. 56(3), pages 967-982, 06.
  5. Owen, Joel & Rabinovitch, Ramon, 1983. " On the Class of Elliptical Distributions and Their Applications to the Theory of Portfolio Choice," Journal of Finance, American Finance Association, vol. 38(3), pages 745-52, June.
  6. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-52, September.
  7. Gary Chamberlain & Michael Rothschild, 1982. "Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets," NBER Working Papers 0996, National Bureau of Economic Research, Inc.
  8. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
  9. Wayne E. Ferson & Andrew F. Siegel, 2006. "Testing Portfolio Efficiency with Conditioning Information," NBER Working Papers 12098, National Bureau of Economic Research, Inc.
  10. Wayne E. Ferson & Andrew F. Siegel & Pisun (Tracy) Xu, 2005. "Mimicking Portfolios with Conditioning Information," NBER Working Papers 11020, National Bureau of Economic Research, Inc.
  11. Dybvig, Philip H & Ross, Stephen A, 1985. " Differential Information and Performance Measurement Using a Security Market Line," Journal of Finance, American Finance Association, vol. 40(2), pages 383-99, June.
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