IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Tests of Mean-Variance Spanning

  • Raymond Kan

    (Rotman School of Management, University of Toronto)

  • Guofu Zhou

    (Olin Business School, Washington University)

In this paper, we conduct a comprehensive study of tests for mean-variance spanning. Under the regression framework of Huberman and Kandel (1987), we provide geometric interpretations not only for the popular likelihood ratio test, but also for two new spanning tests based on the Wald and Lagrange multiplier principles. Under normality assumption, we present the exact distributions of the three tests, analyze their power comprehensively. We find that the power is most driven by the difference of the global minimum-variance portfolios of the two minimum-variance frontiers, and it does not always align well with the economic significance. As an alternative, we provide a step-down test to allow better assessment of the power. Under general distributional assumptions, we provide a new spanning test based on the generalized method of moments (GMM), and evaluate its performance along with other GMM tests by simulation.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.aeconf.net/Articles/May2012/aef130105.pdf
Download Restriction: no

File URL: http://down.aefweb.net/AefArticles/aef130105Kan.pdf
Download Restriction: no

Article provided by Society for AEF in its journal Annals of Economics and Finance.

Volume (Year): 13 (2012)
Issue (Month): 1 (May)
Pages: 139-187

as
in new window

Handle: RePEc:cuf:journl:y:2012:v:13:i:1:kanzhou
Contact details of provider: Web page: http://www.aeconf.net/

More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. 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.
  2. Peñaranda, Francisco & Sentana, Enrique, 2012. "Spanning tests in return and stochastic discount factor mean–variance frontiers: A unifying approach," Journal of Econometrics, Elsevier, vol. 170(2), pages 303-324.
  3. 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.
  4. Geert Bekaert & Michael S. Urias, 1995. "Diversification, Integration and Emerging Market Closed-End Funds," NBER Working Papers 4990, National Bureau of Economic Research, Inc.
  5. de Roon, F.A. & Nijman, T.E. & Werker, B.J.M., 1998. "Testing for mean-variance spanning with short sales constraints and transaction costs : The case of emerging markets," Discussion Paper 1998-07, Tilburg University, Center for Economic Research.
  6. Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394.
  7. Jobson, J. D. & Korkie, Bob, 1983. "Statistical Inference in Two-Parameter Portfolio Theory with Multiple Regression Software," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(02), pages 189-197, June.
  8. repec:ner:tilbur:urn:nbn:nl:ui:12-87531 is not listed on IDEAS
  9. Dufour, Jean-Marie & Khalaf, Lynda, 2002. "Simulation based finite and large sample tests in multivariate regressions," Journal of Econometrics, Elsevier, vol. 111(2), pages 303-322, December.
  10. Christiansen, Charlotte & Joensen, Juanna Schrøter & Nielsen, Helena Skyt, 2006. "The Risk-Return Trade-Off in Human Capital Investment," IZA Discussion Papers 1962, Institute for the Study of Labor (IZA).
  11. 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.
  12. Nijman, T.E. & de Roon, F.A. & Werker, B.J.M., 2001. "Testing for Mean-Variance spanning with short sales constraints and transaction costs : The case of emerging markets," Other publications TiSEM f4a3551a-d7ae-4c22-8813-b, Tilburg University, School of Economics and Management.
  13. 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.
  14. Perlman, Michael D., 1974. "On the monotonicity of the power functions of tests based on traces of multivariate beta matrices," Journal of Multivariate Analysis, Elsevier, vol. 4(1), pages 22-30, March.
  15. Dong-Hyun Ahn & Jennifer Conrad & Robert F. Dittmar, 2003. "Risk Adjustment and Trading Strategies," Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 459-485.
  16. Huberman, Gur & Kandel, Shmuel, 1987. " Mean-Variance Spanning," Journal of Finance, American Finance Association, vol. 42(4), pages 873-88, September.
  17. repec:ner:tilbur:urn:nbn:nl:ui:12-86724 is not listed on IDEAS
  18. Robert C. Merton, 1980. "On Estimating the Expected Return on the Market: An Exploratory Investigation," NBER Working Papers 0444, National Bureau of Economic Research, Inc.
  19. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July.
  20. 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.
  21. Richardson, Matthew & Smith, Tom, 1993. "A Test for Multivariate Normality in Stock Returns," The Journal of Business, University of Chicago Press, vol. 66(2), pages 295-321, April.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:cuf:journl:y:2012:v:13:i:1:kanzhou. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Qiang Gao)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.