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Learning about beta: Time-varying factor loadings, expected returns, and the conditional CAPM

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  • Adrian, Tobias
  • Franzoni, Francesco

Abstract

We amend the conditional CAPM to allow for unobservable long-run changes in risk factor loadings. In this environment, investors rationally "learn" the long-run level of factor loadings from the observation of realized returns. As a consequence of this assumption, we model conditional betas using the Kalman filter. Because of its focus on low-frequency variation in betas, our approach circumvents recent criticisms of the conditional CAPM. When tested on portfolios sorted by size and book-to-market, our learning-augmented conditional CAPM passes the specification tests.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Empirical Finance.

Volume (Year): 16 (2009)
Issue (Month): 4 (September)
Pages: 537-556

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Handle: RePEc:eee:empfin:v:16:y:2009:i:4:p:537-556

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Web page: http://www.elsevier.com/locate/jempfin

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Keywords: Beta CAPM Kalman filter Anomalies Value premium;

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Citations

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Cited by:
  1. Michel Fliess & C\'edric Join, 2013. "Systematic and multifactor risk models revisited," Papers 1312.5271, arXiv.org.
  2. Zura Kakushadze, 2014. "Factor Models for Alpha Streams," Papers 1406.3396, arXiv.org.
  3. Todd, Prono, 2009. "Market Proxies, Correlation, and Relative Mean-Variance Efficiency: Still Living with the Roll Critique," MPRA Paper 20031, University Library of Munich, Germany.
  4. Han, Yufeng, 2012. "State uncertainty in stock markets: How big is the impact on the cost of equity?," Journal of Banking & Finance, Elsevier, vol. 36(9), pages 2575-2592.
  5. Wallmeier, Martin & Tauscher, Kathrin, 2012. "A Note on the Impact of Portfolio Overlapping in Tests of the Fama and French Three-Factor Model," FSES Working Papers 433, Faculty of Economics and Social Sciences, University of Freiburg/Fribourg Switzerland.
  6. Fernando D. Chague, 2013. "Conditional Betas and Investor Uncertainty," Working Papers, Department of Economics 2013_04, University of São Paulo (FEA-USP).
  7. Zhi Da & Re-Jin Guo & Ravi Jagannathan, 2009. "CAPM for Estimating the Cost of Equity Capital: Interpreting the Empirical Evidence," NBER Working Papers 14889, National Bureau of Economic Research, Inc.
  8. Arnaud Mehl, 2013. "Large global volatility shocks, equity markets and globalisation: 1885-2011," Globalization and Monetary Policy Institute Working Paper 148, Federal Reserve Bank of Dallas.
  9. Santos, André A.P. & Moura, Guilherme V., 2014. "Dynamic factor multivariate GARCH model," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 606-617.
  10. Peter C. B. Phillips & Donggyu Sul, 2007. "Transition Modeling and Econometric Convergence Tests," Econometrica, Econometric Society, vol. 75(6), pages 1771-1855, November.
  11. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2010. "Time-Varying Beta: A Boundedly Rational Equilibrium Approach," Research Paper Series 275, Quantitative Finance Research Centre, University of Technology, Sydney.
  12. Ang, Andrew & Chen, Joseph, 2007. "CAPM over the long run: 1926-2001," Journal of Empirical Finance, Elsevier, vol. 14(1), pages 1-40, January.
  13. Carmine Trecroci, 2012. "Uncertainty and the Dynamics of Multifactor Loadings and Pricing Errors," Economics Bulletin, AccessEcon, vol. 32(3), pages 2453-2463.
  14. He, Zhongzhi (Lawrence) & Kryzanowski, Lawrence, 2008. "Dynamic betas for Canadian sector portfolios," International Review of Financial Analysis, Elsevier, vol. 17(5), pages 1110-1122, December.
  15. Bruno Giovannetti & Mauro Rodrigues, Eduardo Ros, 2014. "Investment Grade, Asset Prices and Changes in the Source of Systematic Risk," Working Papers, Department of Economics 2014_05, University of São Paulo (FEA-USP).
  16. Riccardo Ferretti & Francesco Pattarin, 2008. "Is public information really public? The role of newspapers," Centro Studi di Banca e Finanza (CEFIN) (Center for Studies in Banking and Finance) 08013, Universita di Modena e Reggio Emilia, Facoltà di Economia "Marco Biagi".
  17. Lu, Jin-Ray & Lee, Pei-Hsuan & Chuang, I-Yuan, 2011. "Estimation of oil firm's systematic risk via composite time-varying models," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(11), pages 2389-2399.
  18. Michel Fliess & Cédric Join, 2013. "Systematic and multifactor risk models revisited," Post-Print hal-00920175, HAL.

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