La frontera eficiente y los límites de inversión para las AFP: una nueva mirada


  • Diana Ortiz Banco Mundial
  • Miguel Chirinos Universidad Nacional Mayor de San Marcos
  • Yvonka Hurtado Comisión Nacional Supervisora de Empresas y Valores



Performance, AFP, CAPM, efficient frontier, regulation


This article provides a re-estimation of the pension plan funds administrators’ efficient frontier. The goal here is two-fold: on the one hand it measures the effect of investment limits imposed by regulators. Unlike previous studies, here the short positions are not limited; this assumption is based upon the completeness of the financial markets: when the markets are completed, any financial instrument may be replicated. On the other hand, this article measures the performance of the pension plan funds. In earlier works, the performance was measured as the difference between the profitability in the frontier and the one obtained at the level of a given risk; here the return is measured as the relationship of optimal risk profitability and the one obtained. The main conclusion drawn is that regulation supports the high level of risks taken by the administrators.


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Black, F. (1972). Capital Market Equilibrium with Restricted Borrowing. The Journal of Business, 45 (3),


Black, F., & M. Scholes (1973). The Pricing of Options and Corporate Liabilities. The Journal of Political

Economy, 81 (3), 637-654.

Campodónico, H. (2008a). AFPs: hay demasiada plata en la Bolsa. En el diario La República, Lima, Perú.

Obtenido de <>, el 27/10/08.

Campodónico, H. (2008b). Pésima química: Bolsa de Valores e inversiones de AFP. En el diario La República,

Lima, Perú. Obtenido de <> el 11/10/08.

Cass, D., & Stiglitz, J. E. (1970). The Structure of Investor Preferences and Asset Returns, and Separability

in Portfolio Allocation: A Contribution to the Pure Theory of Mutual Funds. Journal of Economic

Theory, 2, 122-60.

Fabozzi, F. J. (2004). Shorting Using Futures and Options. En F. J. Fabozzi (Ed.), Short Selling: Strategies,

Risks and Rewards (pp. 17-36). New Jersey, NJ: John Wiley & Sons, Inc.

Fama, E. F. (1971). Risk, Return, and Equilibrium. The Journal of Political Economy, 79 (1), 30-55.

Harrison, M. J., & Kreps, D. M. (1979). Martingales and Arbitrage in Multi-Period Securities Markets. Journal

of Economic Theory, 20, 381-408.

Harrison, M. J., & Pliska, S. R. (1981). Martingales and Stochastic Integrals in the Theory of Continuous

Trading. Stochastic Processes and their applications, 11, 215-260.

Harrison, M. J., & Pliska, S. R. (1983). A Stochastic Calculus Model of Continuous Trading: Complete Markets.

Stochastic Processes and Their applications, 15, 313-316.

Kogan, L., Makarov, I., & Uppal, R. (2007). The Equity Risk Premium and the Riskfree Rate in an Economy

with Borrowing Constraints. Mathematics and financial Economics, 1(1), 1-19.

Merton, R. E. (1972). An Analytic Derivation of the Efficient Portfolio Frontier. The Journal of financial

and Quantitative Analysis, 7(4), 1851-1872.

Pereda, J. (2007). Estimación de la Frontera Eficiente para las AFP en el Perú y el Impacto de los Límites de

Inversión: 1995-2004. Serie Documentos de Trabajo N° 2007-009. Obtenido de .

Rivas-Llosa, R., & Camargo, G. (2002). Límites de inversión para las AFP: ¿son financieramente eficientes?

Punto de Equilibrio, Año 11(79), 40-41.

Ross, S. A. (1977). The Capital Asset Pricing Model (CAPM), Short-Sale Restrictions and Related Issues.

The Journal of Finance, 32(1), 177-183.

Sharpe, W. F. (1970). Portfolio Theory and Capital Markets. New York: McGraw-Hill Book Co.

Shanken, J. (1996). Statistical Methods in Test of Portfolio Efficiency: A Synthesis. In G. S. Maddala & C. R.

Rao (eds.) Handbook of Statistics, Vol. 14 (pp. 693- 701). Amsterdam: Elsevier Science B.V.

Stoll, H. R., & Whaley, R. E. (1993). futures and Options: Theory and Applications. Cincinnati, OH:

South-Western Education Publishing.

Tobin, J. (1958). Liquidity Preference as Behaviour Towards Risk. Review of Economic Studies, 67, 65-86.




How to Cite

Ortiz, D. ., Chirinos, M. ., & Hurtado, Y. . (2010). La frontera eficiente y los límites de inversión para las AFP: una nueva mirada. Journal of Economics, Finance and Administrative Science, 15(29), 95–117.