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Long Term Risk Assessment in a Defined Contribution Pension System

Author

Listed:
  • Pablo Castañeda

    (Studies Division, Chilean Pension Supervisor)

Abstract

Una de las consecuencias más importantes de la reforma chilena de pensiones realizada a principios de los 80s fue la transferencia de una porción significativa del riesgo asociado al financiamiento de las pensiones, desde el Estado, hacia los afiliados del nuevo sistema obligatorio. En este artículo se desarrolla un marco analítico que permite incorporar el comportamiento del administrador de fondos en la medición del riesgo de largo plazo de su estrategia de inversión, en donde esta última medición se realiza desde el punto de vista de un afiliado al sistema que tiene preferencias definidas por el monto de su pensión final. El problema del administrador de fondos es caracterizado como un problema de selección de cartera dinámico y su solución es utilizada como insumo para cuantificar la exposición a la que está sometido el afiliado al sistema de pensiones. Los resultados de un ejercicio de simulación muestran que mientras menos averso al riesgo es un individuo, mayor es su Riqueza-en-Riesgo (definida como la compensación monetaria que lo deja indiferente en relación a su mejor alternativa externa), resultado que se explica por el hecho que la mejor alternativa externa del afiliado se incrementa relativamente más que el beneficio que obtiene por la pensión provista por el administrador de fondos. La misma lógica está detrás de la relación negativa que se encuentra entre el nivel de volatilidad del activo riesgoso y el nivel de riesgo al que está expuesto el afiliado..

Suggested Citation

  • Pablo Castañeda, 2007. "Long Term Risk Assessment in a Defined Contribution Pension System," Working Papers 20, Superintendencia de Pensiones, revised Oct 2007.
  • Handle: RePEc:sdp:sdpwps:20
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    References listed on IDEAS

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    1. Eduardo Walker, 2006. "Optimal Portfolios In Defined Contribution Pension Systems," Abante, Escuela de Administracion. Pontificia Universidad Católica de Chile., vol. 9(2), pages 99-129.
    2. Cairns, Andrew J.G. & Blake, David & Dowd, Kevin, 2006. "Stochastic lifestyling: Optimal dynamic asset allocation for defined contribution pension plans," Journal of Economic Dynamics and Control, Elsevier, vol. 30(5), pages 843-877, May.
    3. M. Prigent & M. De Palma, 2003. "Optimal portfolio positioning," Thema Working Papers 2003-24, THEMA (Théorie Economique, Modélisation et Applications), CY Cergy-Paris University, ESSEC and CNRS.
    4. 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.
    5. Srinivas, P.S. & Whitehouse, Edward & Yermo, Juan, 2000. "Regulating private pension funds'structure, performance, and investments : cross-country evidence," Social Protection Discussion Papers and Notes 23302, The World Bank.
    6. Wolfram Horneff & Raimond Maurer & Michael Stamos, 2006. "Life-Cycle Asset Allocation with Annuity Markets: Is Longevity Insurance a Good Deal?," Working Papers wp146, University of Michigan, Michigan Retirement Research Center.
    7. 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.
    8. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    9. Charupat, Narat & Milevsky, Moshe A., 2002. "Optimal asset allocation in life annuities: a note," Insurance: Mathematics and Economics, Elsevier, vol. 30(2), pages 199-209, April.
    10. Milevsky,Moshe A., 2006. "The Calculus of Retirement Income," Cambridge Books, Cambridge University Press, number 9780521842587, January.
    11. Kai Detlefsen & Giacomo Scandolo, 2005. "Conditional and dynamic convex risk measures," Finance and Stochastics, Springer, vol. 9(4), pages 539-561, October.
    12. Milevsky, Moshe A. & Young, Virginia R., 2008. "Erratum to: "Annuitization and asset allocation": [Journal of Economic Dynamics & Control 31 (9) (2007) 3138-3177]," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3743-3744, November.
    13. Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
    14. Marco Frittelli & Giacomo Scandolo, 2006. "Risk Measures And Capital Requirements For Processes," Mathematical Finance, Wiley Blackwell, vol. 16(4), pages 589-612, October.
    15. Frittelli, Marco & Rosazza Gianin, Emanuela, 2002. "Putting order in risk measures," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1473-1486, July.
    16. Detemple, Jerome & Garcia, Rene & Rindisbacher, Marcel, 2006. "Asymptotic properties of Monte Carlo estimators of diffusion processes," Journal of Econometrics, Elsevier, vol. 134(1), pages 1-68, September.
    17. repec:bla:ecnote:v:33:y:2004:i:3:p:415-435 is not listed on IDEAS
    18. Suleyman Basak & Alex Shapiro & Lucie Teplá, 2006. "Risk Management with Benchmarking," Management Science, INFORMS, vol. 52(4), pages 542-557, April.
    19. repec:hum:wpaper:sfb649dp2005-006 is not listed on IDEAS
    20. Patrick Cheridito & Freddy Delbaen & Michael Kupper, 2004. "Dynamic monetary risk measures for bounded discrete-time processes," Papers math/0410453, arXiv.org.
    21. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    22. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    23. 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 247-257, August.
    24. 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.
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    2. Luis Opazo & Claudio Raddatz & Sergio Schmukler, 2009. "The Long And The Short Of Emerging Market Debt," Working Papers Central Bank of Chile 530, Central Bank of Chile.

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    Keywords

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    JEL classification:

    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • G18 - Financial Economics - - General Financial Markets - - - Government Policy and Regulation
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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