The Le Chatelier Principle in the Markowitz Quadratic Programming Investment Model: A Case of World Equity Fund Market

Abstract

Due to limited numbers of reliable international equity funds, the Markowitz investment model is ideal in constructing an international portfolio. Overinvestment in one or several fast-growing markets can be disastrous as political instability and exchange rate fluctuations reign supreme. We apply the Le Châtelier principle to the international equity fund market with a set of upper limits. Tracing out a set of efficient frontiers, we inspect the shifting phenomenon in the mean–variance space. The optimum investment policy can be easily implemented and risk minimized.

Keywords

Markowitz quadratic programming model Le Châtelier Principle International equity fund and added constraints 

References

  1. Dixit, A. K. 1990. Optimization in economic theory, 2nd ed., Oxford University Press, Oxford.Google Scholar
  2. Elton, E. J. and M. J. Gruber. 2007. Modern portfolio theory and investment analysis 7th ed., Wiley, New York.Google Scholar
  3. Labys, W. C. and C.-W. Yang. 1996. Le Chatelier principle and the flow sensitivity of spatial commodity models. in Recent advances in spatial equilibrium modeling: methodology and applications, van de Bergh, J. C. J. M., P. Nijkamp and P. Rietveld (Eds.). Springer, Berlin, pp. 96–110.Google Scholar
  4. Loviscek, A. L. and C.-W. Yang. 1997. “Assessing the impact of the investment company act’s diversification rule: a portfolio approach.” Midwest Review of Finance and Insurance 11(1), 57–66.Google Scholar
  5. Markowitz, H. M. 1952. “Portfolio selection.” The Journal of Finance VII(1), 77–91.Google Scholar
  6. Markowitz, H. M. 1956 “The optimization of a quadratic function subject to linear constraints.” Naval Research Logistics Quarterly 3, 111–133.CrossRefGoogle Scholar
  7. Markowitz, H. 1959. Portfolio selection: Efficient Diversification of Investment, John Wiley and Sons, New York.Google Scholar
  8. Markowitz, H. M. 1991. “Foundation of portfolio theory.” Journal of Finance XLVI(2), 469–477.Google Scholar
  9. Samuelson, P. A. 1948. Foundations of Economic Analysis, Cambridge, MA: Harvard University Press.Google Scholar
  10. Samuelson, P. A. 1960. An extension of the Le Chatelier principle. Econometrica pp. 368–379.Google Scholar
  11. Samuelson, P. A. 1972. “Maximum principles in analytical economics.” American Economic Review 62(3), 249–262.Google Scholar
  12. Schrage, L. 2000. Linear, integer and quadratic programming with LINDO, Palo Alto, CA: The Scientific Press.Google Scholar
  13. Silberberg, E. 1971. “The Le Chatelier principle as a corollary to a generalized envelope theorem.” Journal of Economic Theory 3, 146–155.CrossRefGoogle Scholar
  14. Silberberg, E. 1974. “A revision of comparative statics methodology in economics, or how to do economics on the back of an envelope.” Journal of Economic Theory 7, 159–172.CrossRefGoogle Scholar
  15. Silberberg, E. and W. Suen. 2000. The structure of economics: a mathematical analysis, McGraw-Hill, New York.Google Scholar
  16. Value Line, Mutual fund survey New York: Value Line, 19.Google Scholar
  17. Yang, C.W., K. Hung, and J. A. Fox. 2006. “The Le Châtelier principle of the capital market equilibrium.” in Encyclopedia of Finance, C. F. Lee and A. C. Lee (Eds.). Springer, New York, pp. 724–728.CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Texas A&M International UniversityLaredoUSA
  2. 2.Clarion University of PennsylvaniaClarionUSA

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