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Market Beta is not dead: An approach from Random Matrix Theory

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  • Molero-González, L.
  • Trinidad-Segovia, J.E.
  • Sánchez-Granero, M.A.
  • García-Medina, A.

Abstract

In the 1980s, the first doubts about the validity of the Sharpe Single Index Model to explain the cross-sectional expected returns of financial assets appeared. Since then, the financial literature has proposed a wide variety of new factors, while many empirical studies have tried to determine their plausibility. In this paper, we present a new approach from the Random Matrix Theory to determine if the Arbitrage Pricing Theory models are better than the Sharpe Model to explain the cross-sectional expected returns. We will show that, except for periods of high volatility, just one factor is significant in the sample. We will also prove that this factor is the Market one.

Suggested Citation

  • Molero-González, L. & Trinidad-Segovia, J.E. & Sánchez-Granero, M.A. & García-Medina, A., 2023. "Market Beta is not dead: An approach from Random Matrix Theory," Finance Research Letters, Elsevier, vol. 55(PA).
  • Handle: RePEc:eee:finlet:v:55:y:2023:i:pa:s1544612323001897
    DOI: 10.1016/j.frl.2023.103816
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    References listed on IDEAS

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    1. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    2. Chan, Louis K C & Hamao, Yasushi & Lakonishok, Josef, 1991. "Fundamentals and Stock Returns in Japan," Journal of Finance, American Finance Association, vol. 46(5), pages 1739-1764, December.
    3. Dedola, Luca & Georgiadis, Georgios & Gräb, Johannes & Mehl, Arnaud, 2021. "Does a big bazooka matter? Quantitative easing policies and exchange rates," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 489-506.
    4. François-Eric Racicot & William F. Rentz, 2016. "Testing Fama–French’s new five-factor asset pricing model: evidence from robust instruments," Applied Economics Letters, Taylor & Francis Journals, vol. 23(6), pages 444-448, April.
    5. Fama, Eugene F. & French, Kenneth R., 2017. "International tests of a five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 123(3), pages 441-463.
    6. Novy-Marx, Robert, 2013. "The other side of value: The gross profitability premium," Journal of Financial Economics, Elsevier, vol. 108(1), pages 1-28.
    7. Kozak, Serhiy & Nagel, Stefan & Santosh, Shrihari, 2020. "Shrinking the cross-section," Journal of Financial Economics, Elsevier, vol. 135(2), pages 271-292.
    8. Joachim Freyberger & Andreas Neuhierl & Michael Weber & Andrew KarolyiEditor, 2020. "Dissecting Characteristics Nonparametrically," Review of Financial Studies, Society for Financial Studies, vol. 33(5), pages 2326-2377.
    9. Alexei Onatski, 2009. "Testing Hypotheses About the Number of Factors in Large Factor Models," Econometrica, Econometric Society, vol. 77(5), pages 1447-1479, September.
    10. Gustavo S. Cortes & Angela Vossmeyer & Marc D. Weidenmier, 2022. "Stock Volatility and the War Puzzle: The Military Demand Channel," NBER Working Papers 29837, National Bureau of Economic Research, Inc.
    11. Michael Weber & Ali Ozdagli, 2016. "Monetary Policy Through Production Networks: Evidence from the Stock Market," 2016 Meeting Papers 148, Society for Economic Dynamics.
    12. Matthew Baron & Tyler Muir, 2022. "Intermediaries and Asset Prices: International Evidence since 1870," The Review of Financial Studies, Society for Financial Studies, vol. 35(5), pages 2144-2189.
    13. Lakonishok, Josef & Shapiro, Alan C., 1986. "Systematic risk, total risk and size as determinants of stock market returns," Journal of Banking & Finance, Elsevier, vol. 10(1), pages 115-132, March.
    14. Michael Weber & Ali Ozdagli, 2016. "Monetary Policy Through Production Networks: Evidence from the Stock Market," 2016 Meeting Papers 148, Society for Economic Dynamics.
    15. Stock, James H. & Watson, Mark, 2011. "Dynamic Factor Models," Scholarly Articles 28469541, Harvard University Department of Economics.
    16. Banz, Rolf W., 1981. "The relationship between return and market value of common stocks," Journal of Financial Economics, Elsevier, vol. 9(1), pages 3-18, March.
    17. Mario Forni & Marc Hallin & Marco Lippi & Lucrezia Reichlin, 2000. "The Generalized Dynamic-Factor Model: Identification And Estimation," The Review of Economics and Statistics, MIT Press, vol. 82(4), pages 540-554, November.
    18. Thanh D. Huynh, 2018. "Explaining Anomalies in Australia with a Five†factor Asset Pricing Model," International Review of Finance, International Review of Finance Ltd., vol. 18(1), pages 123-135, March.
    19. Masazumi Hattori & Andreas Schrimpf & Vladyslav Sushko, 2016. "The Response of Tail Risk Perceptions to Unconventional Monetary Policy," American Economic Journal: Macroeconomics, American Economic Association, vol. 8(2), pages 111-136, April.
    20. Robert A. Jarrow, 2015. "Asset Price Bubbles," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 201-218, December.
    21. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    22. Cortes, Gustavo S. & Taylor, Bryan & Weidenmier, Marc D., 2022. "Financial factors and the propagation of the Great Depression," Journal of Financial Economics, Elsevier, vol. 145(2), pages 577-594.
    23. Chamberlain, Gary & Rothschild, Michael, 1983. "Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets," Econometrica, Econometric Society, vol. 51(5), pages 1281-1304, September.
    24. Keiichi Kubota & Hitoshi Takehara, 2018. "Does the Fama and French Five†Factor Model Work Well in Japan?," International Review of Finance, International Review of Finance Ltd., vol. 18(1), pages 137-146, March.
    25. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    26. Cortes, Gustavo S. & Gao, George P. & Silva, Felipe B.G. & Song, Zhaogang, 2022. "Unconventional monetary policy and disaster risk: Evidence from the subprime and COVID–19 crises," Journal of International Money and Finance, Elsevier, vol. 122(C).
    27. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    28. Gianluca De Nard & Olivier Ledoit & Michael Wolf, 2021. "Factor Models for Portfolio Selection in Large Dimensions: The Good, the Better and the Ugly [Using Principal Component Analysis to Estimate a High Dimensional Factor Model with High-frequency Data," Journal of Financial Econometrics, Oxford University Press, vol. 19(2), pages 236-257.
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    Keywords

    APT; RMT; CAPM; Beta;
    All these keywords.

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