Abstract
The purpose of this paper is to construct a global minimum variance portfolio (GMVP) using the log returns of the CARBS (Canada, Australia, Russia, Brazil, South Africa) indices. The weights obtained indicate that most of the portfolio should be invested in Canadian equity. The returns series of the CARBS and the GMVP seem to be consistent with the stylized facts of financial time series. Further empirical analysis shows that the CAPM relationship holds for Canada, South Africa, and the GMVP. The systematic risk (β) of the GMVP is the lowest, and the Russian equity index is the highest. However the R2 of all the models indicate that the CAPM relationship is not a good fit for all the variables and can therefore not be considered a reliable measure of risk.
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Notes
- 1.
\(R_{i,t}=\ln \left ( \frac {S_{i,t+1}}{S_{i,t}}\right ) \) where S i,t is the value of asset i at time t and \(t\in \mathbb {N}.\)
- 2.
The data was obtained from the Thomson Reuters Eikon databank.
References
Ali, M. H., & Ali, R. (2010). Test of CAPM in emerging stock markets: A study on Dhaka stock exchange. In Symposium of USM Fellowship Holders 2009 (p. 618).
Asteriou, D., & Hall, S. G. (2015). Applied econometrics. Basingstoke: Palgrave Macmillan.
Bailey, R. E. (2005). The economics of financial markets. New York: Cambridge University Press.
Bodie, Z., Drew, M., Basu, A. K., Kane, A., & Marcus, A. (2013). Principles of investments. North Ryde: McGraw-Hill Education (Australia).
Brooks, C. (2014). Introductory econometrics for finance. Cambridge: Cambridge University Press.
Carl, P., Peterson, B. G., Boudt, K., & Zivot, E. (2008). PerformanceAnalytics: Econometric tools for performance and risk analysis. R package version 0.9, 7.
Cardoso, J. N. M. (2015). Robust mean variance. Doctoral dissertation, Instituto Superior de Economia e Gestao.
Embrechts, P., Frey, R., & McNeil, A. (2005). Quantitative risk management (Princeton series in finance, vol. 10). Princeton: Princeton University Press.
Iqbal, J., & Brooks, R. (2007). A test of CAPM on the Karachi stock exchange. International Journal of Business, 12(4), 429.
Li, K., Sarkar, A., & Wang, Z. (2003). Diversification benefits of emerging markets subject to portfolio constraints. Journal of Empirical Finance, 10(1), 57–80.
Tsay, R. S. (2005). Analysis of financial time series. Hoboken: Wiley.
Watson, J., & Seetharam, Y. (2014). Building a Portfolio with BRICS: The case of the international diversifier. Investment Risk and Performance Feature Articles, 2014(1), 1–4.
Wrede, R. C., & Spiegel, M. R. (2010). Advanced calculus. New York: McGraw-Hill.
Zivot, E. (2011). Portfolio theory with matrix algebra. In Introduction to computational finance and financial econometrics, Econ 424. Seattle: University of Washington.
Zivot, E. (2013). Capital asset pricing model. Econ 424/Amath 462 University of Washington lecture notes.
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Labuschagne, C.C.A., Oberholzer, N., Venter, P.J. (2018). A Mean-Variance Analysis of the Global Minimum Variance Portfolio Constructed Using the CARBS Indices. In: Tsounis, N., Vlachvei, A. (eds) Advances in Panel Data Analysis in Applied Economic Research. ICOAE 2017. Springer Proceedings in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-319-70055-7_5
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DOI: https://doi.org/10.1007/978-3-319-70055-7_5
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