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Duality in Mean-Variance Frontiers with Conditioning Information

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  • Peñaranda, Francisco
  • Sentana, Enrique

Abstract

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 C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 6566.

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Date of creation: Nov 2007
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Handle: RePEc:cpr:ceprdp:6566

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Keywords: Asset Pricing; Dynamic Portfolio Strategies; Representing portfolios; Stochastic Discount Factors;

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References

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  1. 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.
  2. Wayne E. Ferson & Andrew F. Siegel, 2006. "Testing Portfolio Efficiency with Conditioning Information," NBER Working Papers 12098, National Bureau of Economic Research, Inc.
  3. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-62, April.
  4. Francisco Peñaranda & Enrique Sentana, 2004. "Spanning Tests In Return And Stochastic Discount Factor Mean-Variance Frontiers: A Unifying Approach," Working Papers wp2004_0410, CEMFI.
  5. 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.
  6. Roon, F.A. de & Nijman, T.E., 1998. "Testing for mean-variance spanning: A survey," Discussion Paper 1998-132, Tilburg University, Center for Economic Research.
  7. 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.
  8. Bekaert, Geert & Hodrick, Robert J, 1992. " Characterizing Predictable Components in Excess Returns on Equity and Foreign Exchange Markets," Journal of Finance, American Finance Association, vol. 47(2), pages 467-509, June.
  9. Geert Bekaert, 2004. "Conditioning Information and Variance Bounds on Pricing Kernels," Review of Financial Studies, Society for Financial Studies, vol. 17(2), pages 339-378.
  10. Wayne E. Ferson & Andrew Siegel, 2002. "Stochastic Discount Factor Bounds with Conditioning Information," NBER Working Papers 8789, National Bureau of Economic Research, Inc.
  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. 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.
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Cited by:
  1. Francisco Peñaranda, 2009. "Understanding portfolio efficiency with conditioning information," Economics Working Papers 1146, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 2011.
  2. David Martinez-Miera & Rafael Repullo, 2010. "Does Competition Reduce the Risk of Bank Failure?," Review of Financial Studies, Society for Financial Studies, vol. 23(10), pages 3638-3664, October.

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