Articles

HEURISTIC APPROACH FOR DETERMINING EFFICIENT FRONTIER PORTFOLIOS WITH MORE THAN TWO ASSETS, THE CASE OF ZSE

Tonći Svilokos — University of Dubrovnik
Published: 01.01.2016

Abstract

The goal of this paper is to exhibit computation of minimal variance portfolio and efficient portfolio frontier when there are more than two assets, by using matrix algebra applied on chosen stocks listed on Zagreb Stock Exchange. The research shows that, because of low correlation of underlying assets, it is possible to significantly reduce risks of investments by constructing portfolio of the stocks. It also shows that, if restriction on short selling are imposed this significantly reduces the possibility for diversification.

References

Benninga, S. (2000). Financial Modelling (2nd ed.). Massachusetts Institute of Technology.

Bertsekas, D. P. (1999). Nonlinear Programming (2nd ed.). Cambridge, MA: Athena Scientific.

Black, F. (1972). Capital market equilibrium with restricted borrowing. - Journal of Business, Vol. 45, July, p. 444–455.

Chen, N. F., R. Roll & S. A. Ross (1986). Economic forces and the stock market. - Journal of business, р. 383-403.

Chiang, A. C. (1984). Fundamental Methods of Mathematical Economics (3rd ed.). McGraw-Hill.

Dowdy, S., S. Wearden (1983). Statistics for Research. Wiley.

Elton J. E., J. M. Gruber (2011). Investments and Portfolio Performance. World Scientific.

Hung, S. Y., T. P. Liang, & V. W. C. Liu (1996). Integrating arbitrage pricing theory and artificial neural networks to support portfolio management. - Decision support systems, 18(3), р. 301-316.

Klein, R. W., & V. S. Bawa (1976). The Effect of Estimation Risk on Optimal Portfolio Choice. - Journal of Financial Economics, 3(3), р. 215-231.

Lee, C. F., J. E. Finnerty, D. H. Wort (1990). Security Analysis and Portfolio Management. Auburn, WA, USA: Scott Foresman & Co.

Lin, C., & P. J. Hsieh (2004). A fuzzy decision support system for strategic portfolio management. - Decision Support Systems, 38(3), р. 383-398.

Markowitz, H. (1952). Portfolio Selection. - Journal of Finance, 7, р. 77-91.

Markowitz, H. (1991). Portfolio Selection: Efficient Diversification of Investments (2nd ed.). New York: Wiley, Cambridge, MA: Basil Blackwell.

Parra, M. A., A. B. Terol, & M. R. Urıa (2001). A fuzzy goal programming approach to portfolio selection. - European Journal of Operational Research, 133(2), р. 287-297.

Ross, S. A. (1976). The arbitrage theory of capital asset pricing. - Journal of economic theory, 13(3), р. 341-360.

Sharpe, W. F. (1963). A simplified model for portfolio analysis. - Management science, 9(2), р. 277-293.

Tobin, J. (1958). Liquidity preference as behavior towards risk. - The review of economic studies, р. 65-86.

Van Horne, J. C., & J. M. Wachowicz (2008). Fundamentals of financial management. Pearson Education.

Zimmermann, H. G., R. Neuneier, & R. Grothmann (2001). Active Portfolio-Management based on Error Correction Neural Networks. – In: NIPS, p. 1465-1472.

Zivot, E. (2002). Introduction to Computational Finance and Financial Econometrics. University of Washington, Department of Economics.

www.zse.hr - Zagreb Stock Exchange