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A general framework for multistage mean-variance post-tax optimization

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Osorio, Maria A., Gulpinar, Nalan and Rustem, Berc. (2008) A general framework for multistage mean-variance post-tax optimization. Annals of Operations Research , Vol.157 (No.1). pp. 3-23. ISSN 0254-5330

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Official URL: http://dx.doi.org/10.1007/s10479-007-0255-4

Abstract

An investor's decisions affect the way taxes are paid in a general portfolio investment, modifying the net redemption value and the yearly optimal portfolio distribution. We investigate the role of these decisions on multistage mean-variance portfolio allocation model. A number of risky assets grouped in wrappers with special taxation rules is integrated in a multistage financial portfolio optimization problem. The uncertainty on the returns of assets is specified as a scenario tree generated by simulation/clustering based approach. We show the impact of decisions in the yearly reallocation of the investments for three typical cases with an annual fixed withdrawal in a fixed horizon that utilizes completely the option of taper relief offered by banks in UK. Our computational framework can be used as a tool for testing decisions in this context.

Item Type: Journal Article
Subjects: H Social Sciences > HD Industries. Land use. Labor > HD28 Management. Industrial Management
H Social Sciences > HG Finance
Q Science > QA Mathematics
Divisions: Faculty of Social Sciences > Warwick Business School > Operational Research & Management Sciences
Faculty of Social Sciences > Warwick Business School
Library of Congress Subject Headings (LCSH): Analysis of variance, Portfolio management, Quadratic programming, Stochastic programming
Journal or Publication Title: Annals of Operations Research
Publisher: Springer New York LLC
ISSN: 0254-5330
Date: January 2008
Volume: Vol.157
Number: No.1
Number of Pages: 21
Page Range: pp. 3-23
Identification Number: 10.1007/s10479-007-0255-4
Status: Peer Reviewed
Publication Status: Published
Description: Paper presented at: 12th Latin-Ibero-American Conference on Operations Research, Havana, Cuba, Oct 04-08, 2004
Funder: Engineering and Physical Sciences Research Council (EPSRC)
Grant number: GR/M41124 (EPSRC)
Conference Paper Type: Other
Type of Event: Conference
References: Asea, P., & Turnovsky, S. (1997). Capital income taxation and risk-taking in a small open economy. Department of Economics, University of California, Los Angeles Working Paper 768. Birge, J. R., & Louveaux, F. V. (1997). Introduction to stochastic programming. New York: Springer. Feldstein, M. (1976). Personal taxation and portfolio composition: an econometric analysis. Econometrica, 44(4), 631–649. Kall, P., & Wallace, S. W. (1994). Stochastic programming. New York: Wiley. Kouwenberg, R. (2001). Scenario generation and stochastic programming models for asset liability management. European Journal of Operational Research, 134(2), 279–293. Hoyland, K., & Wallace, S. W. (2001). Generating scenario trees for multistage problems. Management Science, 47(2), 295–307. Hubbard, G. (1985). Personal taxation, pension wealth, and portfolio composition. Review of Economics and Statistics, 67, 53–60. Gulpinar, N., Rustem, B., & Settergren, R. (2003). Multistage stochastic mean-variance portfolio analysis with transaction cost. Innovations in Financial and Economic Networks, 3, 46–63. Gulpinar, N., Rustem, B., & Settergren, R. (2004). Optimisation and simulation approaches to scenario tree generation. Journal of Economics Dynamics and Control, 28(7), 1291–1315. Kallberg, J. G., & Ziemba, W. T. (1983). Comparison of alternative utility functions in portfolio selection problems. Management Science, 29(11), 1257–1276. Markowitz, H. (1952). Portfolio selection. Journal of Finance, 7, 77–91. Mészáros, C. (1997). BPMPD user’s manual version 2.20. Department of Computing Research Report #97/8, July 1997. Osorio, M. A., Settergren, R., Rustem, B., & Gulpinar, N. (2002). Post tax optimal investments. In Financial engineering, e-commerce and supply chain (pp. 153–173). Dordrecht: Kluwer Academic. Osorio, M. A., Gulpinar, N., Settergren, R., & Rustem, B. (2004). Post-tax optimization with stochastic programming. European Journal of Operational Research, 157, 152–168. Prekopa, A. (1995). Stochastic programming. Budapest: Akademiai Kiado. Pulley, L. B. (1981). A general mean-variance approximation to expected utility for short holding periods. Journal of Financial and Quantitative Analysis, 16, 361–373. Stein, D. (1998). Measuring and evaluating portfolio performance after taxes. The Journal of Portfolio Management, 25(2), 117–124. Stein, D. (2000). Diversification in the presence of taxes. The Journal of Portfolio Management, 27(1), 61–71.
URI: http://wrap.warwick.ac.uk/id/eprint/31335

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