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Mimicking portfolios, economic risk premia, and tests of multi-beta models

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Pierluigi Balduzzi
Cesare Robotti

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Abstract

This paper considers two alternative formulations of the linear factor model (LFM) with nontraded factors. The first formulation is the traditional LFM, where the estimation of risk premia and alphas is performed by means of a cross-sectional regression of average returns on betas. The second formulation (LFM*) replaces the factors with their projections on the span of excess returns. This formulation requires only time-series regressions for the estimation of risk premia and alphas. We compare the theoretical properties of the two approaches and study the small-sample properties of estimates and test statistics. Our results show that when estimating risk premia and testing multi-beta models, the LFM* formulation should be considered in addition to, or even instead of, the more traditional LFM formulation.

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Paper provided by Federal Reserve Bank of Atlanta in its series Working Paper with number 2005-04.

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Date of creation: 2005
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Handle: RePEc:fip:fedawp:2005-04

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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.:
  1. Hansen, Lars Peter & Jagannathan, Ravi, 1997. " Assessing Specification Errors in Stochastic Discount Factor Models," Journal of Finance, American Finance Association, vol. 52(2), pages 557-90, June. [Downloadable!] (restricted)
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  2. Fama, Eugene F & French, Kenneth R, 1992. " The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-65, June. [Downloadable!] (restricted)
  3. Balduzzi, Pierluigi & Yao, Tong, 2007. "Testing heterogeneous-agent models: an alternative aggregation approach," Journal of Monetary Economics, Elsevier, vol. 54(2), pages 369-412, March. [Downloadable!] (restricted)
  4. Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September. [Downloadable!] (restricted)
  5. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-87, September. [Downloadable!] (restricted)
  6. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-54, July. [Downloadable!] (restricted)
  7. Shanken, Jay, 1985. "Multivariate tests of the zero-beta CAPM," Journal of Financial Economics, Elsevier, vol. 14(3), pages 327-348, September. [Downloadable!] (restricted)
  8. Amsler, Christine E. & Schmidt, Peter, 1985. "A Monte Carlo investigation of the accuracy of multivariate CAPM tests," Journal of Financial Economics, Elsevier, vol. 14(3), pages 359-375, September. [Downloadable!] (restricted)
  9. Douglas T. Breeden & Michael R Gibbons & Robert H. Litzenberger, . "Empirical Tests of the Consumption-Oriented CAPM," Rodney L. White Center for Financial Research Working Papers 07-89, Wharton School Rodney L. White Center for Financial Research.
  10. 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. [Downloadable!] (restricted)
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  11. Breeden, Douglas T & Gibbons, Michael R & Litzenberger, Robert H, 1989. " Empirical Tests of the Consumption-Oriented CAPM," Journal of Finance, American Finance Association, vol. 44(2), pages 231-62, June. [Downloadable!] (restricted)
  12. Douglas T. Breeden & Michael R Gibbons & Robert H. Litzenberger, . "Empirical Tests of the Consumption-Oriented CAPM," Rodney L. White Center for Financial Research Working Papers 7-89, Wharton School Rodney L. White Center for Financial Research.
  13. Alon Brav & George M. Constantinides & Christopher C. Geczy, 1999. "Asset Pricing with Heterogeneous Consumers and Limited Participation: Empirical Evidence," NBER Working Papers 7406, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  14. 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. [Downloadable!] (restricted)
  15. MacKinlay, A. Craig, 1987. "On multivariate tests of the CAPM," Journal of Financial Economics, Elsevier, vol. 18(2), pages 341-371, June. [Downloadable!] (restricted)
  16. Kris Jacobs & Kevin Q. Wang, 2004. "Idiosyncratic Consumption Risk and the Cross Section of Asset Returns," Journal of Finance, American Finance Association, vol. 59(5), pages 2211-2252, October. [Downloadable!] (restricted)
  17. Lamont, Owen A., 2001. "Economic tracking portfolios," Journal of Econometrics, Elsevier, vol. 105(1), pages 161-184, November. [Downloadable!] (restricted)
  18. Raymond Kan & Guofu Zhou, 1999. "A Critique of the Stochastic Discount Factor Methodology," Journal of Finance, American Finance Association, vol. 54(4), pages 1221-1248, 08. [Downloadable!] (restricted)
  19. Shanken, Jay, 1992. "On the Estimation of Beta-Pricing Models," Review of Financial Studies, Oxford University Press for Society for Financial Studies, vol. 5(1), pages 1-33. [Downloadable!] (restricted)
  20. Kim, Dongcheol, 1995. " The Errors in the Variables Problem in the Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 50(5), pages 1605-34, December. [Downloadable!] (restricted)
  21. Kandel, Shmuel & Stambaugh, Robert F, 1995. " Portfolio Inefficiency and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 50(1), pages 157-84, March. [Downloadable!] (restricted)
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  22. Pierluigi Balduzzi & Cesare Robotti, 2001. "Minimum-variance kernels, economic risk premia, and tests of multi-beta models," Working Paper 2001-24, Federal Reserve Bank of Atlanta. [Downloadable!]
  23. Huberman, Gur & Kandel, Shmuel & Stambaugh, Robert F, 1987. " Mimicking Portfolios and Exact Arbitrage Pricing," Journal of Finance, American Finance Association, vol. 42(1), pages 1-9, March. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Jay Shanken & Guofu Zhou, 2006. "Estimating and Testing Beta Pricing Models: Alternative Methods and their Performance in Simulations," NBER Working Papers 12055, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. Pierluigi Balduzzi & Cesare Robotti, 2005. "Asset-pricing models and economic risk premia: a decomposition," Working Paper 2005-13, Federal Reserve Bank of Atlanta. [Downloadable!]
  3. Yong Chen & Wayne Ferson & Helen Peters, 2009. "Measuring the Timing Ability and Performance of Bond Mutual Funds," NBER Working Papers 15318, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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