Long Term Risk Assessment in a Defined Contribution Pension System
AbstractOne of the most important consequences of the Chilean pension reform undertaken in the early 1980s was to transfer a significant portion of the risk associated to the financing of pensions, from the State, to the pension fund participants of the newly established compulsory pension system. This paper is concerned with the risk embedded in the portfolio strategies of pension fund portfolio managers. We develop an analytic framework that permits to incorporate the behavior of a pension fund manager in the long-term risk assessment of its investment strategy, where the latter is conducted from the point of view of the pension fund participant, who has preferences over his/her final pension. The pension fund manager’s problem is cast as a dynamic portfolio choice problem, and its solution is used afterwards to quantify the risk exposure of the pension fund participant. Our results from a simulation exercise show that the lower is the risk aversion of the participant, the higher is his/her Wealth-at-Risk —defined as the monetary compensation that leaves the participant indifferent with respect to his/her outside option— a result that is due to the fact that the outside option increases relatively more than the benefit derived from the pension provided by the fund manager. The same logic is behind the negative relationship between stock return volatility and pension risk.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 3347.
Date of creation: 31 Jul 2006
Date of revision: 30 Apr 2007
Dynamic convex risk measure; Pension system; Portfolio selection;
Other versions of this item:
- Pablo Castañeda, 2007. "Long Term Risk Assessment in a Defined Contribution Pension System," Working Papers 20, Superintendencia de Pensiones, revised Oct 2007.
- 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
This paper has been announced in the following NEP Reports:
- NEP-AGE-2007-06-11 (Economics of Ageing)
- NEP-ALL-2007-06-11 (All new papers)
- NEP-RMG-2007-06-11 (Risk Management)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Milevsky, Moshe A. & Young, Virginia R., 2007. "Annuitization and asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3138-3177, September.
- Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
- Kai Detlefsen & Giacomo Scandolo, 2005. "Conditional and dynamic convex risk measures," Finance and Stochastics, Springer, vol. 9(4), pages 539-561, October.
- 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.
- 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.
- 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.
- Philippe Artzner & Freddy Delbaen & Jean-Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228.
- Srinivas, P.S. & Whitehouse, Edward & Yermo, Juan, 2000.
"Regulating private pension funds’ structure, performance and investments: cross-country evidence,"
14753, University Library of Munich, Germany.
- Srinivas, P.S. & Whitehouse, Edward & Yermo, Juan, 2000. "Regulating private pension funds'structure, performance, and investments : cross-country evidence," Social Protection Discussion Papers 23302, The World Bank.
- M. Prigent & M. De Palma, 2003. "Optimal portfolio positioning," THEMA Working Papers 2003-24, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
- 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.
- Marcel Rindisbacher & Jérôme Detemple & René Garcia, 2004. "Asymptotic Properties of Monte Carlo Estimators of Diffusion Processes," Econometric Society 2004 North American Winter Meetings 483, Econometric Society.
- Jérôme B. Detemple & René Garcia & Marcel Rindisbacher, 2003. "Asymptotic Properties of Monte Carlo Estimators of Diffusion Processes," CIRANO Working Papers 2003s-11, CIRANO.
- Giacomo Scandolo, 2004. "Models of Capital Requirements in Static and Dynamic Settings," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 33(3), pages 415-435, November.
- Patrick Cheridito & Freddy Delbaen & Michael Kupper, 2004. "Dynamic monetary risk measures for bounded discrete-time processes," Papers math/0410453, arXiv.org.
- Basak, Suleyman & Shapiro, Alex & Teplá, Lucie, 2005.
"Risk Management with Benchmarking,"
CEPR Discussion Papers
5187, C.E.P.R. Discussion Papers.
- 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.
- Kai Detlefsen & Giacomo Scandolo, 2005. "Conditional and Dynamic Convex Risk Measures," SFB 649 Discussion Papers SFB649DP2005-006, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
- Frittelli, Marco & Rosazza Gianin, Emanuela, 2002. "Putting order in risk measures," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1473-1486, July.
- 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.
- Marco Frittelli & Giacomo Scandolo, 2006. "Risk Measures And Capital Requirements For Processes," Mathematical Finance, Wiley Blackwell, vol. 16(4), pages 589-612.
- Hans Föllmer & Alexander Schied, 2002. "Convex measures of risk and trading constraints," Finance and Stochastics, Springer, vol. 6(4), pages 429-447.
- Opazo, Luis & Raddatz, Claudio & Schmukler, Sergio L., 2009.
"The long and the short of emerging market debt,"
Policy Research Working Paper Series
5056, The World Bank.
- 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.
- Luis Opazo & Claudio Raddatz & Sergio L Schmukler, 2010. "The Long and the Short of Emerging Market Debt," Working Papers 42, Superintendencia de Pensiones, revised Jun 2010.
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