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

  • Castaneda, Pablo

A new Unemployment Insurance System based on individual accounts was launched in Chile on October 2002. One of the most interesting features of the system is given by the compensation scheme of the fund manager, which contains a performance based incentive benchmarked to one of the default portfolios of the pension system (pension funds Type E, with a 100% investment in fixed-income securities). This paper studies the portfolio choice problem of a fund manager which is subject to a similar performance-based compensation scheme. We model the portfolio choice problem of a risk averse portfolio manager that must finance an exogenous sequence of benefits, and whose terminal payoff depends upon the terminal value of the portfolio under management, relative to an exogenous benchmark portfolio. Our interest is on the consequences of the incentive scheme over the portfolio that is selected by the portfolio manager. For the Black and Scholes [1973] economy we are able to determine the investment policy in closed form. We show that the riskiness of the portfolio depends on the composition of the benchmark, and that the fund manager is motivated to imitate the investment policy of the benchmark in some random scenarios.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 3346.

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Date of creation: 30 Sep 2005
Date of revision: 30 Dec 2006
Handle: RePEc:pra:mprapa:3346
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  1. Jens Carsten Jackwerth & James E. Hodder, 2005. "Incentive Contracts and Hedge Fund Management," CoFE Discussion Paper 05-02, Center of Finance and Econometrics, University of Konstanz.
  2. 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.
  3. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
  4. William N. Goetzmann & Jonathan E. Ingersoll & Stephen A. Ross, 2003. "High-Water Marks and Hedge Fund Management Contracts," Journal of Finance, American Finance Association, vol. 58(4), pages 1685-1718, 08.
  5. 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.
  6. 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.
  7. 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-.
  8. 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.
  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. 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.
  11. William N. Goetzmann & Jonathan E. Ingersoll, Jr. & Stephen A. Ross, 2004. "High Water Marks," Yale School of Management Working Papers ysm22, Yale School of Management.
  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. Jennifer N. Carpenter, 2000. "Does Option Compensation Increase Managerial Risk Appetite?," Journal of Finance, American Finance Association, vol. 55(5), pages 2311-2331, October.
  14. 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.
  15. 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.
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