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Duality In Mean-Variance Frontiers With Conditioning Information

  • Enrique Sentana

    ()

  • Francisco Peñaranda

    ()

    (CEMFI, Centro de Estudios Monetarios y Financieros)

Portfolio and stochastic discount factor (SDF) frontiers are usually regarded as dual objects, and researchers sometimes use one to answer questions about the other. However, the introduction of conditioning information and active portfolio strategies alters this relationship. For instance, the unconditional portfolio frontier in Hansen and Richard (1987) is not dual to the unconditional SDF frontier in Gallant, Hansen and Tauchen (1990). We characterise the dual objects to those frontiers, and relate them to the frontiers generated with managed portfolios, which are commonly used in empirical work. We also study the implications of a safe asset and other special cases.

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Paper provided by CEMFI in its series Working Papers with number wp2007_0715.

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Date of creation: Nov 2007
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Handle: RePEc:cmf:wpaper:wp2007_0715
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  1. Wayne E. Ferson & Andrew F. Siegel, 2006. "Testing Portfolio Efficiency with Conditioning Information," NBER Working Papers 12098, National Bureau of Economic Research, Inc.
  2. DeRoon, Frans A. & Nijman, Theo E., 2001. "Testing for mean-variance spanning: a survey," Journal of Empirical Finance, Elsevier, vol. 8(2), pages 111-155, May.
  3. Francisco Peñaranda & Enrique Sentana, 2008. "Spanning tests in return and stochastic discount factor mean-variance frontiers: A unifying approach," Economics Working Papers 1101, Department of Economics and Business, Universitat Pompeu Fabra, revised Sep 2010.
  4. Geert Bekaert & Robert J. Hodrick, 1991. "Characterizing Predictable Components in Excess Returns on Equity and Foreign Exchange Markets," NBER Working Papers 3790, National Bureau of Economic Research, Inc.
  5. Gallant, A. Ronald & Hansen, Lars Peter & Tauchen, George, 1990. "Using conditional moments of asset payoffs to infer the volatility of intertemporal marginal rates of substitution," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 141-179.
  6. Lars Peter Hansen & Ravi Jagannathan, 1990. "Implications of security market data for models of dynamic economies," Discussion Paper / Institute for Empirical Macroeconomics 29, Federal Reserve Bank of Minneapolis.
  7. Geert Bekaert & Jun Liu, 1999. "Conditioning Information and Variance Bounds on Pricing Kernels," NBER Working Papers 6880, National Bureau of Economic Research, Inc.
  8. Wayne E. Ferson & Andrew Siegel, 2002. "Stochastic Discount Factor Bounds with Conditioning Information," NBER Working Papers 8789, National Bureau of Economic Research, Inc.
  9. Chamberlain, Gary & Rothschild, Michael, 1982. "Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets," Scholarly Articles 3230355, Harvard University Department of Economics.
  10. 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.
  11. Bekaert, Geert & Urias, Michael S, 1996. " Diversification, Integration and Emerging Market Closed-End Funds," Journal of Finance, American Finance Association, vol. 51(3), pages 835-69, July.
  12. Nijman, T.E. & de Roon, F.A., 2001. "Testing for mean-variance spanning : A survey," Other publications TiSEM 0159f80a-c61b-4519-b004-a, Tilburg University, School of Economics and Management.
  13. Abhyankar, Abhay & Basu, Devraj & Stremme, Alexander, 2007. "Portfolio efficiency and discount factor bounds with conditioning information: An empirical study," Journal of Banking & Finance, Elsevier, vol. 31(2), pages 419-437, February.
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