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Portfolio Choice and Benchmarking: The Case of the Unemployment Insurance Fund in Chile

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  • Pablo Castañeda

    ()
    (Studies Division, Chilean Pension Supervisor)

Abstract

Un nuevo sistema de seguro de cesantía basado en cuentas individuales fue lanzado en Chile en Octubre 2002. Una de las características más interesantes del sistema está dado por el esquema de compensación del administrador de fondos, que contiene un incentivo asociado a desempeño relativo en relación a los Fondos Tipo E (fondos que invierten solo en renta fija). Este artículo estudia el problema de selección de cartera de un administrador de fondos que está sujeto a un esquema de compensación basado en desempeño. El problema de selección de cartera se plantea en términos de un administrador de fondos averso al riesgo que debe financiar una secuencia exógena de beneficios, y cuyo pago a final de mes depende del valor relativo de cartera que administra, en relación a una cartera referencial exógena. Nuestro interés está dirigido a los efectos del esquema de compensación sobre la selección de cartera. Para la economía de Black y Scholes [1973] somos capaces de determinar la estrategia de inversión óptima de manera expresa. Los resultados muestran que la volatilidad de la cartera seleccionada depende de la composición de la cartera referencial y que el administrador de cartera está motivado a imitar la estrategia de la cartera referencial en ciertos escenarios aleatorios. .

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File URL: http://www.spensiones.cl/redirect/files/doctrab/DT00016.pdf
File Function: Revised version, 2007
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Bibliographic Info

Paper provided by Superintendencia de Pensiones in its series Working Papers with number 16.

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Date of creation: Dec 2006
Date of revision: May 2007
Handle: RePEc:sdp:sdpwps:16

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Web page: http://www.spensiones.cl/
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Keywords: benchmark portfolio; individual accounts; portfolio choice; unemployment insurance;

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References

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  1. R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. Jér�me B. Detemple & René Garcia & Marcel Rindisbacher, 2003. "A Monte Carlo Method for Optimal Portfolios," Journal of Finance, American Finance Association, vol. 58(1), pages 401-446, 02.
  3. William N. Goetzmann & Jonathan Ingersoll, Jr. & Stephen A. Ross, 1998. "High Water Marks," NBER Working Papers 6413, National Bureau of Economic Research, Inc.
  4. Jackwerth, Jens Carsten & Hodder, James E., 2006. "Incentive Contracts and Hedge Fund Management," MPRA Paper 11632, University Library of Munich, Germany.
  5. Cox, John C. & Huang, Chi-fu, 1991. "A variational problem arising in financial economics," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 465-487.
  6. William Goetzmann & Jonathan Ingersoll & Stephen Ross, 1998. "High-Water Marks and Hedge Fund Management Contracts," Yale School of Management Working Papers ysm81, Yale School of Management, revised 01 Aug 2001.
  7. Stephen A. Ross, 2004. "Compensation, Incentives, and the Duality of Risk Aversion and Riskiness," Journal of Finance, American Finance Association, vol. 59(1), pages 207-225, 02.
  8. Alex Shapiro & Suleyman Basak & Anna Pavlova, 2004. "Offsetting the Incentives: Risk Shifting and Benefits of Benchmarking in Money Management," Econometric Society 2004 North American Winter Meetings 583, Econometric Society.
  9. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-54, May-June.
  10. Cox, John C. & Huang, Chi-fu, 1989. "Optimal consumption and portfolio policies when asset prices follow a diffusion process," Journal of Economic Theory, Elsevier, vol. 49(1), pages 33-83, October.
  11. Jennifer N. Carpenter, 2000. "Does Option Compensation Increase Managerial Risk Appetite?," Journal of Finance, American Finance Association, vol. 55(5), pages 2311-2331, October.
  12. Detemple, Jérôme & Garcia, René & Rindisbacher, Marcel, 2005. "Intertemporal asset allocation: A comparison of methods," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2821-2848, November.
  13. Detemple, Jerome B., 2002. "Asset pricing in an intertemporal partially-revealing rational expectations equilibrium," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 219-248, September.
  14. Jennifer Carpenter, 1999. "Does Option Compensation Increase Managerial Risk Appetite?," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-076, New York University, Leonard N. Stern School of Business-.
  15. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August.
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