Foster, Jarred (2011): Target variation in a loss avoiding pension fund problem.
Preview |
PDF
MPRA_paper_36177.pdf Download (529kB) | Preview |
Abstract
This study builds on the findings in Krawczyk (2008), where a 'cautious relaxed' utility measure is introduced in the solving of a dynamic portfolio management problem. The new measure provides distributions that are left skewed in contrast to the right skewed distributions previously found. This paper builds on these findings by testing the effect of increasing the client's target and introducing the manager's preferences. It is found that increasing the target causes the distribution to become less left skewed, causing higher probabilities of loss. The pension fund manager considering his own payoff does not significantly affect the results and in some cases improves them.
Item Type: | MPRA Paper |
---|---|
Original Title: | Target variation in a loss avoiding pension fund problem |
Language: | English |
Keywords: | Loss prevention, Numerical analysis, Optimization techniques, Pension funds, Portfolio investment |
Subjects: | G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis |
Item ID: | 36177 |
Depositing User: | Jarred Foster |
Date Deposited: | 06 Feb 2012 16:16 |
Last Modified: | 28 Sep 2019 02:08 |
References: | Azzato, J. and J. Krawczyk (2008a). SOCSol4l: an improved Matlab (R) package for approximating the solution to a continuous-time stochastic optimal control problem. Azzato, J. D. and J. B. Krawczyk (2008b). Parallel SOCSol: a parallel Matlab (R) package for approximating the solution to a continuous-time stochastic optimal control problem. Azzato, J. D., S. C. and J. B. Krawczyk (2011). On loss-avoiding lump-sum pension optimisation with contingent targets. Working Paper. Berkelaar, A. B., R. Kouwenberg, and T. Post (2004). Optimal portfolio choice under loss aversion. The Review of Economics and Statistics 86 (4), 973-987. Boda, K., J. Filar, Y. Lin, and L. Spanjers (2004, march). Stochastic target hitting time and the problem of early retirement. Automatic Control, IEEE Transactions on 49 (3), 409 - 419. Bogentoft, E., H. E. Romeijn, and S. Uryasev (2001). Asset/liability management for pension funds using CVaR constraints. Journal of Risk Finance 3, 57-71. Cairns, A. (2000). Some notes on the dynamics and optimal control of stochastic pension fund models in continuous time. Astin Bulletin 30 (1), 19-56. Fleming, W. H. and R. W. Rishel (1975). Deterministic and stochastic optimal control. Springer New York. Kahneman, D. and A. Tversky (1992). Advances in prospect theory: Cumulative representation of uncertainty. Journal of Risk and Uncertainty 5, 297-323. Krawczyk, J. B. (2008). On loss-avoiding payo distribution in a dynamic portfolio management problem. Journal of Risk Finance, The 9 (2), 151-172. Markowitz, H. (1952). Portfolio selection. Journal of Finance 7 (1), 77 - 91. Merton, R. C. (1971). Optimum consumption and portfolio rules in a continuous- time model. Journal of Economic Theory 3 (4), 373{413. Pliska, S. R. (1986). A stochastic calculus model of continuous trading: optimal portfolios. Mathematics of Operations Research 11 (2), 371-382. Samuelson, P. A. (1969). Lifetime portfolio selection by dynamic stochastic pro- gramming. The Review of Economics and Statistics 51 (3), pp. 239-246. Samuelson, P. A. (1974). Comments on the favorable-bet theorem. Economic Inquiry 12 (3), 345-355. Windsor, A. and J. B. Krawczyk (1997). A Matlab package for approximating the solution to a continuous-time stochastic optimal control problem. Computational Economics. Yiu, K. F. C. (2004). Optimal portfolios under a value-at-risk constraint. Journal of Economic Dynamics and Control 28 (7), 1317 - 1334. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/36177 |