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Mimicking Portfolios, Economic Risk Premia, and Tests of Multi-Beta Models

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  • Balduzzi, Pierluigi
  • Robotti, Cesare

Abstract

We consider two formulations of the linear factor model (LFM) with nontraded factors. In the first formulation, LFM, risk premia and alphas are estimated by a cross-sectional regression of average returns on betas. In the second formulation, LFM*, the factors are replaced by their projections on the span of excess returns, and risk premia and alphas are estimated by time series regressions. We compare the two formulations and study the small-sample properties of estimates and test statistics. We conclude that the LFM* formulation should be considered in addition to, or even instead of, the more traditional LFM formulation.

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  • Balduzzi, Pierluigi & Robotti, Cesare, 2008. "Mimicking Portfolios, Economic Risk Premia, and Tests of Multi-Beta Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 354-368.
  • Handle: RePEc:bes:jnlbes:v:26:y:2008:p:354-368
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    1. Murtazashvili, Irina & Vozlyublennaia, Nadia, 2013. "When do characteristics-sorted factors mechanically explain returns?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 25(C), pages 119-143.
    2. Geoffroy Enjolras & Robert Kast & Patrick Sentis, 2009. "Diversification in Area-Yield Crop Insurance : The Multi Linear Additive Model," Working Papers 09-15, LAMETA, Universitiy of Montpellier, revised Nov 2009.
    3. 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.
    4. Robert Kast, 2011. "Managing financial risks due to natural catastrophes," Working Papers hal-00610241, HAL.
    5. Peñaranda, Francisco & Sentana, Enrique, 2016. "Duality in mean-variance frontiers with conditioning information," Journal of Empirical Finance, Elsevier, vol. 38(PB), pages 762-785.
    6. Ahn, Seung C. & Perez, M. Fabricio & Gadarowski, Christopher, 2013. "Two-pass estimation of risk premiums with multicollinear and near-invariant betas," Journal of Empirical Finance, Elsevier, vol. 20(C), pages 1-17.
    7. Shanken, Jay & Zhou, Guofu, 2007. "Estimating and testing beta pricing models: Alternative methods and their performance in simulations," Journal of Financial Economics, Elsevier, vol. 84(1), pages 40-86, April.
    8. Campbell R. Harvey & Yan Liu & Heqing Zhu, 2014. ". . . and the Cross-Section of Expected Returns," NBER Working Papers 20592, National Bureau of Economic Research, Inc.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Stefano Giglio & Dacheng Xiu, 2017. "Inference on Risk Premia in the Presence of Omitted Factors," NBER Working Papers 23527, National Bureau of Economic Research, Inc.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.

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