Factors relevance in asset pricing: new evidences in emerging markets from random matrix theory

Authors

DOI:

https://doi.org/10.17811/ebl.14.2.2025.75-87

Keywords:

Emerging Markets, Asset Pricing, Random Matrix Theory, Single Index Model, APT

Abstract

There is an ongoing debate as to whether multi-factor models provide better results in explaining the cross-sectional expected return of financial assets than the Sharpe model. Despite the evidence provided about the superiority of market Beta in mayor developed markets, the debate does not seem to be closed, even less so for emerging markets.

In this paper, we provide new evidence on the number of significant factors in emerging markets using Random Matrix Theory statistical techniques. We find that, with a confidence level of 99%, no significant factors are found in emerging markets, compared to developed ones, where market beta is always the unique factor. Our results confirm that emerging markets have different characteristics in relation to developed markets.

References

Balladares, K., Ramos-Requena, J. P., Trinidad-Segovia, J. E., and Sa´nchez-Granero,

M. A. (2021). Statistical arbitrage in emerging markets: a global test of efficiency.

Mathematics, 9(2):179.

Bohigas, O., Giannoni, M.-J., and Schmit, C. (1984). Characterization of chaotic quantum spectra and universality of level fluctuation laws. Physical review letters, 52(1):1.

Buckberg, E. (1995). Emerging stock markets and international asset pricing. The World Bank Economic Review, 9(1):51–74.

Cakici, N., Fabozzi, F. J., and Tan, S. (2013). Size, value, and momentum in emerging market stock returns. Emerging Markets Review, 16:46–65.

Cakici, N., Tang, Y., and Yan, A. (2016). Do the size, value, and momentum factors drive stock returns in emerging markets? Journal of International Money and Finance, 69:179–204.

Chamberlain, G. and Rothschild, M. (1982). Arbitrage, factor structure, and mean- variance analysis on large asset markets.

De Nard, G., Ledoit, O., and Wolf, M. (2021). Factor models for portfolio selec- tion in large dimensions: The good, the better and the ugly. Journal of Financial Econometrics, 19(2):236–257.

Dyson, F. J. (1962). The threefold way. algebraic structure of symmetry groups and ensembles in quantum mechanics. Journal of Mathematical Physics, 3(6):1199–1215.

F. Black, M. J. and Scholes, M. (1972). The capital asset pricing model: some empirical tests. In M. Jensen (ed.) Studies in the theory of capital markets, Praeger, 45:445–455. Fama, E. and French, K. (1992). The cross-section of expected stock returns. Journal of

Finance, 47(2):427–465.

Fama, E. and French, K. (1995). Size and book-to-market factors in earnings and return.

Journal of Finance, 50(1):131–155.

Fama, E. and French, K. (2015). A five factor asset pricing model. Journal of Financial Economics, 116:1–22.

Fama, E. and MacBeth, J. (1973). Risk, return, and equilibrium: empirical tests. Journal of Political Economy, 81(3):607–636.

Fama, E. F. and French, K. R. (2017). International tests of a five-factor asset pricing model. Journal of financial Economics, 123(3):441–463.

Forni, M., Hallin, M., Lippi, M., and Reichlin, L. (2000). The generalized dynamic- factor model: Identification and estimation. Review of Economics and statistics, 82(4):540–554.

Garcia, R. and Ghysels, E. (1998). Structural change and asset pricing in emerging markets. Journal of International Money and Finance, 17(3):455–473.

Harvey, C. R., Liu, Y., and Zhu, H. (2016). and the cross-section of expected returns.

The Review of Financial Studies, 29(1):5–68.

Isakov, D. (1999). Is beta still alive? conclusive evidence from the swiss stock market.

The European Journal of Finance, 5(3):202–212.

Jarrow, R. A. and Silva, F. B. G. (2015). Risk measures and the impact of asset price bubbles. Journal of Risk, Available at SSRN: https://ssrn.com/abstract=2341641.

Kubota, K. and Takehara, H. (2018). Does the fama and french five-factor model work well in japan? International Review of Finance, 18(1):137–146.

Lakonishok, J. and Shapiro, A. (1986). Systematic risk, total risk and size as determi- nants of stock market returns. Journal of Banking and Finance, 10(1):115–132.

Laloux, L., Cizeau, P., Bouchaud, J.-P., and Potters, M. (1999). Noise dressing of financial correlation matrices. Physical review letters, 83(7):1467.

Lalwani, V. and Chakraborty, M. (2020). Multi-factor asset pricing models in emerging and developed markets. Managerial Finance, 46(3):360–380.

Marcˇenko, V. A. and Pastur, L. A. (1967). Distribution of eigenvalues for some sets of random matrices. Mathematics of the USSR-Sbornik, 1(4):457.

Mehta, M. L. (2004). Random matrices. Elsevier.

Molero-Gonza´lez, L., Trinidad-Segovia, J., Sa´nchez-Granero, M., and Garc´ıa-Medina,

A. (2023). Market beta is not dead: An approach from random matrix theory. Finance Research Letters, page 103816.

MSCI (2023). Market classification framework.

Novy-Marx, R. (1981). Misspecification of capital asset pricing: Empirical anomalies based on earnings’ yields and market values. Journal of Financial Economics, 9(1):19– 46.

Novy-Marx, R. (2013). The other side of value: the gross profitability premium. Journal of Financial Economics, 108(4):1–28.

Onatski, A. (2008). The tracy–widom limit for the largest eigenvalues of singular complex wishart matrices. The Annals of Applied Probability, 18(2):470–490.

Onatski, A. (2009). Testing hypotheses about the number of factors in large factor models. Econometrica, 77(5):1447–1479.

Plerou, V., Gopikrishnan, P., Rosenow, B., Amaral, L. A. N., Guhr, T., and Stanley, H. E. (2002). Random matrix approach to cross correlations in financial data. Physical Review E, 65(6):066126.

Racicot, F.-E. and Rentz, W. F. (2016). Testing fama–french’s new five-factor as- set pricing model: evidence from robust instruments. Applied Economics Letters, 23(6):444–448.

Sharpe, W. (1964). Capital asset prices: a theory of market equilibrium under conditions of risk. The Journal of Finance, 19(3):425–442.

Stattman, D. (2004). S. titman, k. wei and f. xie, f. Journal of Financial and Quantitative Analysis, 39:677–700.

Tracy, C. A. and Widom, H. (1994). Level-spacing distributions and the airy kernel.

Communications in Mathematical Physics, 159(1):151–174.

Wishart, J. (1928). The generalised product moment distribution in samples from a normal multivariate population. Biometrika, pages 32–52.

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Published

28-04-2025

How to Cite

Molero-González, L., Trinidad-Segovia, J. E., Sánchez-Granero, M. A., & García-Medina, A. (2025). Factors relevance in asset pricing: new evidences in emerging markets from random matrix theory. Economics and Business Letters, 14(2), 75–87. https://doi.org/10.17811/ebl.14.2.2025.75-87

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