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Spanning tests in return and stochastic discount factor mean-variance frontiers: A unifying approach

  • Francisco Peñaranda
  • Enrique Sentana

We propose new spanning tests that assess if the initial and additional assets share the economically meaningful cost and mean representing portfolios. We prove their asymptotic equivalence to existing tests under local alternatives. We also show that unlike two-step or iterated procedures, single-step methods such as continuously updated GMM yield numerically identical overidentifyng restrictions tests, so there is arguably a single spanning test. To prove these results, we extend optimal GMM inference to deal with singularities in the long run second moment matrix of the influence functions. Finally, we test for spanning using size and book-to-market sorted US stock portfolios.

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File URL: http://www.econ.upf.edu/docs/papers/downloads/1101.pdf
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Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 1101.

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Date of creation: Jun 2008
Date of revision: Sep 2010
Handle: RePEc:upf:upfgen:1101
Contact details of provider: Web page: http://www.econ.upf.edu/

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  1. Hunter, Delroy M. & Simon, David P., 2005. "Are TIPS the "real" deal?: A conditional assessment of their role in a nominal portfolio," Journal of Banking & Finance, Elsevier, vol. 29(2), pages 347-368, February.
  2. 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.
  3. Sentana, Enrique, 1999. "Least Squares Predictions and Mean-Variance Analysis," CEPR Discussion Papers 2088, C.E.P.R. Discussion Papers.
  4. Raymond Kan & Guofu Zhou, 2001. "Tests of Mean-Variance Spanning," CEMA Working Papers 539, China Economics and Management Academy, Central University of Finance and Economics.
  5. Alastair R. Hall, 2000. "Covariance Matrix Estimation and the Power of the Overidentifying Restrictions Test," Econometrica, Econometric Society, vol. 68(6), pages 1517-1528, November.
  6. Francisco Peñaranda & Enrique Sentana, 2010. "A Unifying Approach To The Empirical Evaluation Of Asset Pricing Models," Working Papers wp2010_1004, CEMFI.
  7. Hélène Bonnal & Éric Renault, 2004. "On the Efficient Use of the Informational Content of Estimating Equations: Implied Probabilities and Euclidean Empirical Likelihood," CIRANO Working Papers 2004s-18, CIRANO.
  8. Antonio Diez de los Rios & Enrique Sentana, 2007. "Testing Uncovered Interest Parity: A Continuous-Time Approach," Staff Working Papers 07-53, Bank of Canada.
  9. de Roon, F.A. & Nijman, T.E., 1998. "Testing for mean-variance spanning : A survey," Discussion Paper 1998-132, Tilburg University, Center for Economic Research.
  10. 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.
  11. Newey, Whitney K. & McFadden, Daniel, 1986. "Large sample estimation and hypothesis testing," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 36, pages 2111-2245 Elsevier.
  12. 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.
  13. Lars Peter Hansen & Ravi Jagannathan, 1990. "Implications of Security Market Data for Models of Dynamic Economies," NBER Technical Working Papers 0089, National Bureau of Economic Research, Inc.
  14. Vihang Errunza & Ked Hogan & Mao-Wei Hung, 1999. "Can the Gains from International Diversification Be Achieved without Trading Abroad?," Journal of Finance, American Finance Association, vol. 54(6), pages 2075-2107, December.
  15. Pietro BALESTRA & Alberto HOLLY, 1990. "A General Kronecker Formula for the Moments of the Multivariate Normal Distribution," Cahiers de Recherches Economiques du Département d'Econométrie et d'Economie politique (DEEP) 9002, Université de Lausanne, Faculté des HEC, DEEP.
  16. Gourieroux, C. & Monfort, A., 2005. "The econometrics of efficient portfolios," Journal of Empirical Finance, Elsevier, vol. 12(1), pages 1-41, January.
  17. Gourieroux,Christian & Monfort,Alain, 1995. "Statistics and Econometric Models," Cambridge Books, Cambridge University Press, number 9780521477451, November.
  18. Andrews, Donald W. K., 1987. "Asymptotic Results for Generalized Wald Tests," Econometric Theory, Cambridge University Press, vol. 3(03), pages 348-358, June.
  19. 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.
  20. 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.
  21. Gourieroux Christian & Monfort Alain & Renault E, 1991. "Two stages generalized moment method with applications to regressions with heteroscedasticity of unkwnown form," CEPREMAP Working Papers (Couverture Orange) 9110, CEPREMAP.
  22. Whitney Newey & Richard Smith, 2003. "Higher order properties of GMM and generalised empirical likelihood estimators," CeMMAP working papers CWP04/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  23. Geert Bekaert & Michael S. Urias, 1995. "Diversification, Integration and Emerging Market Closed-End Funds," NBER Working Papers 4990, National Bureau of Economic Research, Inc.
  24. Ignacio Palacios-Huerta, 2001. "An Empirical Analysis of the Risk Properties of Human Capital Returns," Working Papers 2001-10, Brown University, Department of Economics.
  25. de Jong, R.M. & Davidson, J., 1996. "Consistency of Kernel Estimators of Heteroscedastic and Autocorrelated Covariance Matrices," Discussion Paper 1996-52, Tilburg University, Center for Economic Research.
  26. Hansen, Lars Peter & Heaton, John & Yaron, Amir, 1996. "Finite-Sample Properties of Some Alternative GMM Estimators," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 262-80, July.
  27. Chamberlain, Gary & Rothschild, Michael, 1982. "Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets," Scholarly Articles 3230355, Harvard University Department of Economics.
  28. Ferson, Wayne E & Foerster, Stephen R & Keim, Donald B, 1993. " General Tests of Latent Variable Models and Mean-Variance Spanning," Journal of Finance, American Finance Association, vol. 48(1), pages 131-56, March.
  29. Snow, Karl N, 1991. " Diagnosing Asset Pricing Models Using the Distribution of Asset Returns," Journal of Finance, American Finance Association, vol. 46(3), pages 955-83, July.
  30. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  31. Enrique Sentana & Dante Amegual, 2008. "A Comparison Of Mean-Variance Efficiency Tests," Working Papers wp2008_0806, CEMFI.
  32. Sargan, J D, 1983. "Identification and Lack of Identification," Econometrica, Econometric Society, vol. 51(6), pages 1605-33, November.
  33. Huberman, Gur & Kandel, Shmuel, 1987. " Mean-Variance Spanning," Journal of Finance, American Finance Association, vol. 42(4), pages 873-88, September.
  34. Ravi Jagannathan & Zhenyu Wang, 2001. "Empirical Evaluation of Asset Pricing Models: A Comparison of the SDF and Beta Methods," NBER Working Papers 8098, National Bureau of Economic Research, Inc.
  35. Chamberlain, Gary, 1983. "A characterization of the distributions that imply mean--Variance utility functions," Journal of Economic Theory, Elsevier, vol. 29(1), pages 185-201, February.
  36. Geweke, John, 1981. "The Approximate Slopes of Econometric Tests," Econometrica, Econometric Society, vol. 49(6), pages 1427-42, November.
  37. 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.
  38. Ross, Stephen A., 1978. "Mutual fund separation in financial theory--The separating distributions," Journal of Economic Theory, Elsevier, vol. 17(2), pages 254-286, April.
  39. Breusch, Trevor & Qian, Hailong & Schmidt, Peter & Wyhowski, Donald, 1999. "Redundancy of moment conditions," Journal of Econometrics, Elsevier, vol. 91(1), pages 89-111, July.
  40. Simon Stevenson, 2000. "International Real Estate Diversification: Empirical Tests using Hedged Indices," Journal of Real Estate Research, American Real Estate Society, vol. 19(1), pages 105-131.
  41. Keith Vorkink, 2003. "Return Distributions and Improved Tests of Asset Pricing Models," Review of Financial Studies, Society for Financial Studies, vol. 16(3), pages 845-874, July.
  42. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, 03.
  43. Newey, Whitney K & West, Kenneth D, 1987. "Hypothesis Testing with Efficient Method of Moments Estimation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(3), pages 777-87, October.
  44. Chen, Xiaohong, 2007. "Large Sample Sieve Estimation of Semi-Nonparametric Models," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 76 Elsevier.
  45. Jobson, J. D. & Korkie, Bob, 1982. "Potential performance and tests of portfolio efficiency," Journal of Financial Economics, Elsevier, vol. 10(4), pages 433-466, December.
  46. 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.
  47. Arellano, Manuel, 2002. "Sargan's Instrumental Variables Estimation and the Generalized Method of Moments," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(4), pages 450-59, October.
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