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

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  • Pierluigi Balduzzi
  • Cesare Robotti

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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Bibliographic Info

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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References

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Citations

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Cited by:
  1. 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.
  2. Balduzzi, Pierluigi & Robotti, Cesare, 2010. "Asset pricing models and economic risk premia: A decomposition," Journal of Empirical Finance, Elsevier, vol. 17(1), pages 54-80, January.
  3. Robert Kast, 2011. "Managing financial risks due to natural catastrophes," Working Papers hal-00610241, HAL.
  4. Wayne E. Ferson & Suresh K. Nallareddy & Biqin Xie, 2012. "The "Out of Sample" Performance of Long-run Risk Models," NBER Working Papers 17848, National Bureau of Economic Research, Inc.
  5. Ayadi, Mohamed A. & Kryzanowski, Lawrence, 2011. "Fixed-income fund performance: Role of luck and ability in tail membership," Journal of Empirical Finance, Elsevier, vol. 18(3), pages 379-392, June.
  6. Murtazashvili, Irina & Vozlyublennaia, Nadia, 2012. "The performance of cross-sectional regression tests of the CAPM with non-zero pricing errors," Journal of Banking & Finance, Elsevier, vol. 36(4), pages 1057-1066.
  7. Geoffroy Enjolras & Robert Kast & Patrick Sentis, 2009. "Diversification in Area-Yield Crop Insurance : The Multi Linear Additive Model," Working Papers 09-15, LAMETA, Universtiy of Montpellier, revised Nov 2009.
  8. Jay Shanken & Guofu Zhou, 2007. "Estimating and testing beta pricing models: Alternative methods and their performance in simulations," CEMA Working Papers 275, China Economics and Management Academy, Central University of Finance and Economics.
  9. Chen, Yong & Ferson, Wayne & Peters, Helen, 2010. "Measuring the timing ability and performance of bond mutual funds," Journal of Financial Economics, Elsevier, vol. 98(1), pages 72-89, October.
  10. Kroencke, Tim A. & Schindler, Felix & Sebastian, Steffen & Theissen, Erik, 2013. "GDP mimicking portfolios and the cross-section of stock returns," ZEW Discussion Papers 13-026, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  11. Ouysse, Rachida & Kohn, Robert, 2010. "Bayesian variable selection and model averaging in the arbitrage pricing theory model," Computational Statistics & Data Analysis, Elsevier, vol. 54(12), pages 3249-3268, December.
  12. Bakshi, Gurdip & Panayotov, George, 2013. "Predictability of currency carry trades and asset pricing implications," Journal of Financial Economics, Elsevier, vol. 110(1), pages 139-163.
  13. Ferson, Wayne & Nallareddy, Suresh & Xie, Biqin, 2013. "The “out-of-sample” performance of long run risk models," Journal of Financial Economics, Elsevier, vol. 107(3), pages 537-556.

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