Study of the Fama and French Three-factor model in the Brazilian stock market
DOI:
https://doi.org/10.22478/ufpb.2318-1001.2022v10n1.56417Abstract
Objective: To verify if the Fama and French three-factor model (FF3F) is able to price the return of shares in the Brazilian stock market and to analyze the model with only two factors to identify which of the factors are significant to explain the return of the shares.
Background: Fama and French (1993) proposed a pricing model with three factors (FF3F) and conducted research demonstrating that the FF3F model is more effective than the traditional CAPM model. Roger and Securato (2009) compared the CAMP models and the 3-Factors of Fama and French, in the Brazilian capital market and concluded that the expected returns of the stock can be achieved by a 2-Factor model.
Method: A comparative analysis of the returns made and estimated by the FF3F model of the shares of 20 Brazilian companies in the period from 2000 to 2018 was performed. By calculating the variations between the real and estimated returns, it is possible to identify whether the returns made were close calculated.
Results: Only a small percentage of the returns estimated by the FF3F model occurred according to the actual returns calculated in the analysis period and most of the estimated returns are much higher than the returns made. However, a two-factor model (market risk and size) manages to price the return on Brazilian market shares.
Contributions: The development of this work contributes to decision making in variable income, assisting investors in the choice and application of suitable mathematical models that can guide them as to the assets that should compose their investment portfolio.
Downloads
References
ASSAF NETO, A.; LIMA, F. G. (2014). Curso de administração financeira. (3. ed.) São Paulo: Atlas.
Bajpai, S., & Sharma, A. K. (2015). An empirical testing of capital asset pricing model in India. Procedia - Social and Behavioral Sciences, 189, 259-265. https://www.sciencedirect. com/science/article/pii/S1877042815020145. DOI: https://doi.org/10.1016/j.sbspro.2015.03. 221
BLACK, F.; JENSEN, M. C.; SCHOLES, M. (1972). The capital asset pricing model: some empirical tests, in studies in the theory of capital markets. In M C. Jensen, Studies in the theory of capital markets (pp. 79-121): New York: Praeger. https://papers.ssrn.com/sol3/ papers.cfm?abstract_id=908569
CERVO, A. L.; BERVIAN, P. A. (2007). Metodologia científica. (6. ed.) São Paulo: Pearson Prentice Hall.
DAMODARAN, A. (2012). Investment valuation: tools and techniques for determining the value of any asset. (3a ed.) Nova Jersey, EUA: Wiley Finance.
FAMA, E.; FRENCH, K. (1992). The cross-section of expected stock returns. Journal of Finance, 47(2), 427-465. https://www.jstor.org/stable/2329112?seq=1 DOI: https://www.jstor. org/stable/2329112
FAMA, E.; FRENCH, K. (1993). Common risk factors in the returns on stocks and bonds. Journal of Financial Economics, 33(1), 3-56. https://www.sciencedirect.com/science/ article/abs/pii/0304405X93900235 DOI: https://doi.org/10.1016/0304-405X(93)90023-5
INSTITUTO ASSAF. Indicadores da economia. http://institutoassaf.com.br/indicadores-e-demonstracoes-financeiras/indicadores-da-economia/ Acesso em: 20/05/2020.
LAKONISHOK, J.; SHAPIRO, A. (1986). Systematic risk, total risk and size as determinants of stock market returns. Journal of Banking and Finance, 10(1), 115-132. https://www.researchgate.net/publication/4963442_Systematic_Risk_Total_Risk_and_Size_as_Determinants_of_Stock_Market_Returns DOI: http://dx.doi.org/10.1016/0378-4266(86)900 23-3
MACHADO, G. K. (2020). Análise Comparativa dos Retornos Efetuados e Estimados de Ações de Empresas Brasileiras. Revista Ciências Administrativa (Journal of Administrative Sciences), 26(1), 1-13. https://periodicos.unifor.br/rca/article/view/e8360 DOI: https://doi.org/ 10.5020/2318-0722.2020.26.1.8360
MALAGA, F. K., SECURATO, J. R. (2004). Aplicação do modelo de três fatores de Fama e French no mercado acionário brasileiro: um estudo empírico do período 1995-2003. In: Encontro Anual da Associação Nacional de Programas de Pós-Graduação em Administração, Curitiba, Brasil. http://www.anpad.org.br/admin/pdf/enanpad2004-fin-0072
MIRALLES-QUIRÓS, M. D. M.; MIRALLES-QUIRÓS, J. L.; GONÇALVES, L. M. V. (2017). Testing the efficiency-CAPM joint hypothesis in the Bovespa. Revista de Gestão, Finanças e Contabilidade, 7(3), 414-435. https://revistas.uneb.br/index.php/ financ/article/view/3725 DOI: 10.18028/rgfc.v7i3.3725
NODA, R. F.; MARTELANC, R.; KAYO, E. K. (2016). O Fator de risco lucro/preço em modelos de precificação de ativos financeiros. Revista de contabilidade financeira – USP, São Paulo, 27(70), 67-79. https://www.scielo.br/scielo.php?pid=S1519-70772015005000060& script=sci_abstract&tlng=pt. DOI: https://doi.org/10.1590/1808-057x201412060
NYANGARA, M.; NYANGARA, D.; NDLOVU, G.; TYAVAMBIZA, T. (2016). An empirical test of the validity of the capital asset pricing model on the Zimbabwe Stock Exchange. International journal of economics and financial issues, 6(2), 365-379. https://www.researchgate.net/publication/301921421_An_Empirical_Test_of_the_Validity_of_the_Capital_Asset_Pricing_Model_on_the_Zimbabwe_Stock_Exchange
RAYES, A. C. R. W.; ARAÚJO, G. S.; BARBEDO, C. H. da S. (2012). O modelo de 3 fatores de Fama e French ainda explica os retornos no mercado acionário brasileiro? Revista Alcance - Eletrônica, 19(1), 52-61. https://siaiap32.univali.br/seer/index.php/ra/article/ view/2080 DOI: https://doi.org/10.14210/alcance.v19n1.p52-61
ROGER, P.; SECURATO, J. R. (2009). Estudo comparativo no mercado brasileiro do Capital Asset Pricing Model (CAPM), modelo 3-fatores de Fama e French e reward beta approach. RAC-Eletrônica, 3(1), 159–179. https://biblat.unam.mx/pt/revista/rac-eletronica/articulo/ estudo-comparativo-no-mercado-brasileiro-do-capital-asset-pricing-model-capm-modelo-3-fatores-de-fama-e-french-e-reward-beta-approach
SCOTT, W. R. (2009). Financial accounting theory. (5a ed.). Toronto, Ontario: Pearson Education Canada.
SHARPE, W. F. (1964). Capital asset prices: a theory of market equilibrium under conditions of risk. Journal of Finance, 19(3), 425-443. https://onlinelibrary.wiley.com/doi/full/ 10.1111/j.1540-6261.1964.tb02865.x DOI: https://doi.org/10.1111/j.1540-6261.1964.tb02865 .x
SORANCO, D.; CRUZ, J. A. W.; ZANIN, S.; ROCHA, D. T. (2013). Precificação de ativos baseado no modelo Capital Asset Pricing Model (CAPM). Pensar Contábil, 15(58), 24-31. http://www.spell.org.br/documentos/ver/24232/precificacao-de-ativos-baseado-no-modelo-capital-asset-pricing-model--capm-
STAMBAUGH, R. (1982). On the exclusion of assets from tests of the two-parameter model: a sensitivity analysis, Journal of Financial Economics, 10(3), 237-268. https://www.science direct.com/science/article/abs/pii/0304405X82900022 DOI: https://doi.org/10.1016/0304-405X(82)90002-2
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2022 Revista Evidenciação Contábil & Finanças

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Autores que publicam na RECFin concordam com os seguintes termos:- Autores mantém os direitos autorais e concedem à revista o direito de primeira publicação, com o trabalho simultaneamente licenciado sob a Licença Creative Commons Attribution que permite o compartilhamento do trabalho com reconhecimento da autoria e publicação inicial nesta revista;
- Em virtude de aparecerem nesta revista de acesso público, os artigos são de uso gratuito, com atribuições próprias, em aplicações educacionais e não-comerciais;
- A revista permitirá o uso dos trabalhos publicados para fins não-comerciais, incluindo direito de enviar o trabalho para bases de dados de acesso público.