Portfolio Composition with Minimum Variance: Comparison with Market Benchmarks Other Languages

ID:
41955
Authors:
Daniel Menezes Cavalcante
Vicente Lima Crisóstomo
Paulo Rogério Faustino Matos
Jocildo Figueiredo Correia Neto
Journal:
Revista de Gestão, Finanças e Contabilidade
Abstract:
Portfolio optimization strategies are advocated as being able to allow the composition of stocks portfolios that provide returns above market benchmarks. This study aims to determine whether, in fact, portfolios based on the minimum variance strategy, optimized by the Modern Portfolio Theory, are able to achieve earnings above market benchmarks in Brazil. Time series of 36 securities traded on the BM&FBOVESPA have been analyzed in a long period of time (1999-2012), with sample windows of 12, 36, 60 and 120 monthly observations. The results indicated that the minimum variance portfolio performance is superior to market benchmarks (CDI and IBOVESPA) in terms of return and risk-adjusted return, especially in medium and long-term investment horizons.
Keywords:
Investment portfolios, Markowitz, Minimum Variance portfolio, Portfolio Theory, Risk and Return
ABNT Citation:
CAVALCANTE, D. M.; CRISÓSTOMO, V. L.; MATOS, P. R. F.; CORREIA NETO, J. F. Composição de Carteiras por Mínima Variância: comparação com Benchmarks de Mercado . Revista de Gestão, Finanças e Contabilidade, v. 6, n. 2, p. 132-159, 2016.
APA Citation:
Cavalcante, D. M., Crisóstomo, V. L., Matos, P. R. F., & Correia Neto, J. F. (2016). Composição de Carteiras por Mínima Variância: comparação com Benchmarks de Mercado . Revista de Gestão, Finanças e Contabilidade, 6(2), 132-159.
DOI:
10.18028/2238-5320/rgfc.v6n2p132-159
Permalink:
https://www.spell.org.br/documentos/ver/41955/portfolio-composition-with-minimum-variance--comparison-with-market-benchmarks-/i/en
Document type:
Artigo
Language:
Português
References:
ANDRADE, F. W. M. Alocação de ativos no mercado acionário brasileiro segundo o conceito de downside risk. Revista de Gestão, v. 13, n. 2, p. 27-36, 2006.

ARAÚJO, E. A. T.; OLIVEIRA, V. C.; SILVA, W. A. C. CAPM em estudos brasileiros: uma análise da pesquisa. Revista de Contabilidade e Organizações, v. 6, n. 15, p. 95-122, 2012.

BELLHOUSE, D. Decoding Cardano's Liber de Ludo Aleae. Historia Mathematica, v. 32, n. 2, p. 180-202, 2005.

BLACK, F.; PEROLD, A. F. Theory of constant proportion portfolio insurance. Journal of Economic Dynamics and Control, v. 16, n. 3/4, p. 403-426, 1992.

BODIE, Z.; KANE, A.; MARCUS, A. J. Fundamentos de investimentos. Porto Alegre: BOOKMAN, 2000.

BRANDT, M. W. Portfolio Choice Problems. In: AIT-SAHALIA, Y.; HANSEN, L. P. (Ed.). Handbook of Financial Econometrics: North-Holland Elsevier, 2009. p. 269-336. (Handbooks in Finance). 2009.

BROWN, J. R. Managing the retail format portfolio: An application of modern portfolio theory. Journal of Retailing and Consumer Services, v. 17, n. 1, p. 19-28, 2010.

CONSTANTINIDES, G. M.; MALLIARIS, A. G. Portfolio theory. In: JARROW, R. A. et al. (Ed.). Handbooks in Operations Research and Management Science. p. 1-30. Elsevier B.V., 1995.

CUTHBERTSON, K.; NITZSCHE, D.; O'SULLIVAN, N. UK mutual fund performance: Skill or luck? Journal of Empirical Finance, v. 15, n. 4, p. 613-634, 2008.

DEMIGUEL, V.; GARLAPPI, L.; UPPAL, R. Optimal Versus Naive Diversification: How Inefficient is the 1/N Portfolio Strategy? Review Of Financial Studies, v. 22, n. 5, p. 1915-1953, 2009.

DOMIAN, D. L.; LOUTON, D. A.; RACINE, M. D. Diversification in portfolios of individual stocks: 100 stocks are not enough. The Financial Review, v. 42, n. 4, p. 557-570, 2007.

ELTON, E. J.; GRUBER, M. J.; BROWN, S. J.; GOETZMANN, W. N. Modern Portfolio Theory and Investment Analysis. New York: John Wiley & Sons, Inc. 2014.

ELTON, E. J.; GRUBER, M. J.; DAS, S.; HLAVKA, M. Efficiency with costly information: a reinterpretation of evidence from managed portfolios. The Review of Financial Studies, v. 6, n. 1, p. 1-23, 1993.

ELTON, E. J.; GRUBER, M. J. Modern portfolio theory, 1950 to date. Journal of Banking & Finance, v. 21, n. 11/12, p. 1743-1759, 1997.

FAMA, E. F. Efficient capital markets: A review of theory and empirical work. The Journal of Finance, v. 25, n. 2, p. 383-417, 1970.

FAMA, E. F. Efficient capital markets: II. The Journal of Finance, v. 46, n. 5, p. 1575-1617, 1991.

FAMA, E. F. Mandelbrot and the stable paretian hypothesis. The Journal of Business n. 36, p. 420-429, 1963.

FAMA, E. F. Market efficiency, long-term returns, and behavioral finance. Journal of Financial Economics, v. 49, n. 3, p. 283-306, 1998.

FAMA, E. F. Random walks in stock market prices. Financial Analysts Journal, v. 21, n. 5, p. 55-59. (Reprinted in 1995 as Random Walks in Stock Market Prices. Financial Analysts Journal, v. 51, n. 1, p. 75-80, 1965.)

FLETCHER, J. Risk reduction and mean-variance analysis: An empirical investigation. Journal of Business Finance and Accounting, v. 36, n. 7/8, p. 951-971, 2009.

HASUIKE, T.; ISHII, H. Probability maximization models for portfolio selection under ambiguity. Central European Journal of Operations Research, v. 17, n. 2, p. 159-180, 2009.

HU, J. L.; CHANG, T. P.; CHOU, R. Y. Market conditions and the effect of diversification on mutual fund performance: should funds be more concentrative under crisis? Journal of Productivity Analysis, v. 41, n. 1, p. 141-151, 2014.

INOUE, A.; KILIAN, L. In-sample or out-of-sample tests of predictability: which one should we use? Econometric Reviews, v. 23, n. 4, p. 371-402, 2005.

JÚDICE, J. J.; RIBEIRO, C. O.; SANTOS, J. P. J. Análise comparativa dos modelos de selecção de carteiras de acções de Markowitz e Konno. Investigação Operacional, v. 23, n. 2, p. 211-224, 2003.

KAHNEMAN, D.; TVERSKY, A. Prospect Theory: An Analysis of Decision under Risk. Econometrica, v. 47, n. 2, p. 263-292, 1979.

KEIM, D. B. An analysis of mutual fund design: The case of investing in small-cap stocks. Journal of Financial Economics, v. 51, n. 2, p. 173-194, 1999.

KIRBY, C.; OSTDIEK, B. It's all in the timing: Simple active portfolio strategies that outperform naïve diversification. Journal of Financial and Quantitative Analysis, v. 47, n. 2, p. 437-467, 2012.

KONNO, H.; YAMAZAKI, H. Mean-absolute deviation portfolio optimization model and its applications to Tokyo stock market. Management Science, v. 37, n. 5, p. 519-531, 1991.

LUZZINI, D.; CANIATO, F.; RONCHI, S.; SPINA, G. A transaction costs approach to purchasing portfolio management. International Journal of Operations & Production Management, v. 32, n. 9, p. 1015-1042, 2012.

MARKOWITZ, H. M. Foundations of Portfolio Theory. The Journal of Finance, v. 46, n. 2, p. 469-477, 1991.

MARKOWITZ, H. M. Normative portfolio analysis: Past, present, and future. Journal of Economics and Business, v. 42, n. 2, p. 99-103, 1990.

MARKOWITZ, H. Portfolio Selection: Effcient Diversifcation of Investments. New York: John Wiley & Sons, Inc. 1959.

MARKOWITZ, H. Portfolio Selection. The Journal of Finance, v. 7, n. 1, p. 77-91, 1952.

MODIGLIANI, F.; MODIGLIANI, L. Risk-Adjusted Performance. Journal of Portfolio Management, p. 45-54, 1997.

ORE, O. Cardano The Gambling Scholar. (tradução do livro em latim "Liber de Ludo Aleae" de Gerolamo Cardano por Sydney Henry Gould). v. 1: Princeton University Press, 1953.

PELSSER, A.; VORST, T. Transaction costs and efficiency of portfolio strategies. European Journal of Operational Research, v. 91, n. 2, p. 250-263, 1996.

PINHEIRO, C. A. O.; MATSUMOTO, A. S.; TABAK, B. M. An application of the meansemivariance approach to the portfolio allocation problem: the case of Brazil. Journal of International Finance and Economics, v. 8, p. 132-135, 2008.

RAPACH, D. E.; WOHAR, M. E. In-sample vs. out-of-sample tests of stock return predictability in the context of data mining. Journal of Empirical Finance, v. 13, n. 2, p. 231-247, 2006.

RUBESAM, A.; BELTRAME, A. L. Carteiras de Variância Mínima no Brasil. Revista Brasileira de Finanças, v. 11, n. 1, p. 81-118, 2013.

SANTOS, A. A. P.; TESSARI, C. Técnicas quantitativas de otimização de carteiras aplicadas ao mercado de ações brasileiro. Revista Brasileira de Finanças, v. 10, n. 3, p. 369-393, 2012.

SHARPE, W. F. Mutual Fund Performance. The Journal of Business, v. 39, 1966.

SHAWKY, H. A.; SMITH, D. M. Optimal Number of Stock Holdings in Mutual Fund Portfolios Based on Market Performance. The Financial Review, v. 40, n. 4, p. 481-495, 2005.

SHENG, H. H.; SAITO, R. Análise de métodos de replicação: o caso IBOVESPA. Revista de Administração de Empresas, v. 42, n. 2, p. 66-76, 2002.

SHUKLA, R. The value of active portfolio management. Journal of Economics and Business, v. 56, n. 4, p. 331-346, 2004.

SORTINO, F. A.; PRICE, L. N. Performance Measurement in a Downside Risk Framework. The Journal of Investing, v. 3, n. 3, p. 59-64, 1994.

TVERSKY, A.; KAHNEMAN, D. Loss Aversion in Riskless Choice: A ReferenceDependent Model. The Quarterly Journal of Economics, v. 106, n. 4, p. 1039-1061, 1991.

VACLAVIK, M.; JABLONSKY, J. Revisions of modern portfolio theory optimization model. Central European Journal of Operations Research, v. 20, n. 3, p. 473-483, 2012.

WILLIAMS, L. Cardano and the gambler's habitus. Studies in History and Philosophy of Science, v. 36, n. 1, p. 23-41, 2005.

ZANINI, F. A. M.; FIGUEIREDO, A. C. As teorias de carteira de Markowitz e de Sharpe: uma aplicação no mercado brasileiro de ações entre julho/95 e junho/2000. Revista de Administração Mackenzie, v. 6, n. 2, p. 37-64, 2005.