Stochastic Programming pp 257-275 | Cite as
Multistage Financial Planning Models: Integrating Stochastic Programs and Policy Simulators
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Abstract
This chapter reviews multistage financial planning models, with a focus on practical approaches for optimizing investors´ performance over time. We discuss two major frameworks for constructing financial planning models: (1) policy rule simulation and optimization and (2) multistage stochastic programming. We advocate an integrated approach, in which a stylized stochastic program helps the investor discover robust decision/policy rules. In the second stage, the policy optimizer compares policy rules as well as provides additional information about future investment performance. To illustrate benefits, we apply the dual strategy to the defined benefit pension plans in the USA
Keywords
Stochastic Program Policy Rule Momentum Strategy Investment Performance Dual StrategyReferences
- Arbeleche, S., Dempster, M.A.H., Medova, E.A., Thompson, G.W.P., Villaverde, M.: Portfolio Management for Pension Funds, vol. 2690. Springer, Berlin (2003)Google Scholar
- Bertsekas, D., Tsitsiklis, J.: Neuro-Dynamic Programming. Athena Scientific, Belmont, MA (1996)Google Scholar
- Boender, G.C.E., van Aalst, P.C., Heemskerk F.: Modelling and management of assets and liabilities of pension plans in the Netherlands, in w. In: Ziemba, T., Mulvey, J.M. (eds.) Worldwide Asset and Liability Modeling, pp. 561–580. Cambridge University Press, UK (1998)Google Scholar
- Campbell, J.Y., Viceira, L.M.: Strategic Asset Allocation. Oxford University Press, New York, NY (2002)CrossRefGoogle Scholar
- Cariño, D.R., Kent, T., Myers, D.H., Stacy, C., Sylvanus, M., Turner, A., Watanabe, K., Ziemba, W.: The Russell-Yasuda Kasai model: An asset/liability model for a Japanese insurance company using multistage stochastic programming. Interfaces 24(29), 29–49 (1994)CrossRefGoogle Scholar
- Chan, L.K.C., Jegadeesh, N., Lakonishok, J.: Momentum strategies. J. Finance 51(5), 1681–1713 (1996)CrossRefGoogle Scholar
- Cleary, S., Inglis, M.: Momentum in Canadian stock returns. Revue Canadienne Des Sciences De L’Administration 15(3), 279–291 (1998)CrossRefGoogle Scholar
- Consigli, G., Dempster, M.A.H.: Dynamic stochastic programming for asset-liability management. Ann. Oper. Res. 81, 131–162 (1998)MathSciNetzbMATHCrossRefGoogle Scholar
- Dantzig, G.B., Infanger, G.: Multi-stage stochastic linear programs for portfolio optimization. Ann. Oper. Res. 45, 59–76 (1993)MathSciNetzbMATHCrossRefGoogle Scholar
- De Bondt, W.F.M., Thaler, R.: Does stock market overreact? J. Finance 40(3), 793–805 (1985)CrossRefGoogle Scholar
- De Bondt, W.F.M., Thaler, R.: Further evidence on investor overreaction and stock market seasonality. J. Finance 42(3), 557–581 (1987)CrossRefGoogle Scholar
- Demir, I., Muthuswamy, J., Walter, T.: Momentum returns in Australian equities: The influences of size, risk, liquidity and return computation. Pac.-Basin Finance J. 12, 143–158 (2004)CrossRefGoogle Scholar
- Dempster, M.A.H., Germano, M., Medova, E.A., Rietbergen, M.I., Sandrini, F., Scrowston, M.: Managing guarantees. J. Portfolio Manage. 32, 51–61 (2006)CrossRefGoogle Scholar
- Dert, C.L.: Asset liability management for pension funds. PhD thesis, Erasmus University, Rotterdam, Netherlands (1995)Google Scholar
- Fabozzi, F.J., Focardi, S., Jonas, C.: Can modeling help deal with the pension funding crisis? Working paper, The Intertek Group (2004)Google Scholar
- Fernholz, R.: Stochastic Portfolio Theory. Springer, New York, NY (2002)zbMATHGoogle Scholar
- Fernholz, R., Shay, B.: Stochastic portfolio theory and stock market equilibrium. J. Finance 37(2), 615–624 (1982)CrossRefGoogle Scholar
- George, T.J., Hwang, C.: The 52-week high and momentum investing. J. Finance 59(5), 2145–2176 (2004)CrossRefGoogle Scholar
- Geyer, A., Herold, W., Kontriner, K., Ziemba, W.T.: The innovest Austrian pension fund financial planning model innoALM. Working paper, University of British Columbia, Vancouver, BC, Canada (2005)Google Scholar
- Hilli, P., Koivu, M., Pennanen T., Ranne, A.: A stochastic programming model for asset liability management of a Finnish pension company. Annals of Operations Research 152(1), 115–139 (2007)MathSciNetzbMATHCrossRefGoogle Scholar
- Infanger, G.: Planning Under Uncertainty - Solving Large-Scale Stochastic Linear Programs. The Scientific Press Series, Boyd & Fraser San Francisco, CA (1994)zbMATHGoogle Scholar
- Jegadeesh, N.: Evidence of predictable behavior of security returns. J. Finance 45(3), 881–898 (1990)CrossRefGoogle Scholar
- Jegadeesh, N., Titman, S.: Returns to buying winners and selling losers: Implications for stock market efficiency. J. Finance 48(1), 65–91 (1993)CrossRefGoogle Scholar
- Kang, J., Liu, M., Ni, S.X.: Contrarian and momentum strategies in the china stock market: 1993–2000. Pac.-Basin Finance J. 10, 243–265 (2002)CrossRefGoogle Scholar
- Kouwenberg, R., Zenios, S.A.: Stochastic programming models for asset liability management. Working Paper 01-01, HERMES Center on Computational Finance, & Economics, University of Cyprus, Nicosia, Cyprus (2001)Google Scholar
- Lehmann, B.N.: Fads, martingales, and market efficiency. Quart. J. Econ. 105(1), 1–28 (1990)CrossRefGoogle Scholar
- Luenberger, D.: Investment Science. Oxford University Press, New York, NY (1998)Google Scholar
- Merton, R.C.: Lifetime portfolio selection under uncertainty: The continuous-time case. Rev. Econ. Stat. 51(3), 247–257 (1969)CrossRefGoogle Scholar
- Merton, R.C.: An intertemporal capital asset pricing model. Econometrica 41(5), 867–887 (1973)MathSciNetzbMATHCrossRefGoogle Scholar
- Mulvey, J.M.: Multi-period stochastic optimization models for long-term investors. In: Avellaneda, M., (ed.) Quantitative Analysis in Financial Markets, vol. 3. World Scientific, Singapore (2000)Google Scholar
- Mulvey, J.M.: Essential portfolio theory. A rydex investment white paper, Princeton University, Princeton, NJ (2005)Google Scholar
- Mulvey, J.M., Kim, W.C.: Constructing a portfolio of industry-level momentum strategies across global equity markets. Princeton university report, Department of OR and Financial Engineering, Princeton University, Princeton, NJ (2007)Google Scholar
- Mulvey, J.M., Kim, W.C.: The role of alternative assets for optimal portfolio construction. Wiley, New York, NY (2008) referenced 2007 but appeared in 2008Google Scholar
- Mulvey, J.M., Simsek, K.D.: Rebalancing strategies for long-term investors. In: Rustem, B., Kontoghiorghes, E.J., Siokos, S. (eds.) Computational Methods in Decision Making, Economics and Finance: Optimization Models. Kluwer, Netherlands (2002)Google Scholar
- Mulvey, J.M., Ziemba, W.T.: Asset and liability management systems for long-term investors. In: Ziemba, W.T., Mulvey, J.M. (eds.) Worldwide Asset and Liability Modeling. Cambridge University Press, Cambridge (1998)Google Scholar
- Mulvey, J.M., Gould, G., Morgan, C.: An asset and liability management system for towers perrin-tillinghast. Interfaces 30, 96–114 (2000)CrossRefGoogle Scholar
- Mulvey, J.M., Pauling, B., Madey, R.E.: Advantages of multiperiod portfolio models. J. Portfolio Manage. 29, 35–45 (2003a)CrossRefGoogle Scholar
- Mulvey, J.M., Simsek, K.D., Pauling, B.: A stochastic network approach for integrated pension and corporate financial planning. In: Nagurney, A. (ed.) Innovations in Financial and Economic Networks. Edward Elgar, UK (2003b)Google Scholar
- Mulvey, J.M., Kaul, S.S.N., Simsek, K.D.: Evaluating a trend-following commodity index for multi-period asset allocation. J. Alter. Invest. 7(1), 54–69 (2004a)CrossRefGoogle Scholar
- Mulvey, J.M., Simsek, K.D., Zhang, Z., Holmer, M.: Preliminary analysis of defined-benefit pension plans. Princeton university report, Department of OR and Financial Engineering, Princeton University, Princeton, NJ (2004b)Google Scholar
- Mulvey, J.M., Ural, C., Zhang, Z.: Optimizing performance for long-term investors: Wide diversification and overlay strategies. Princeton university report, Department of Operations Research and Financial Engineering, Princeton University, Princeton, NJ (2006)Google Scholar
- Peskin, M.W.: Asset allocation and funding policy for corporate-sponsored defined-benefit pension plans. J. Portfolio Manage. 23(2), 66–73 (1997)MathSciNetCrossRefGoogle Scholar
- Pflug, G.C., Swietanowski, A.: Asset-Liability Optimization for Pension Fund Management. Operations Research Proceedings, Springer Verlag pp. 124–135 (2000)Google Scholar
- Pflug, G.C., Dockner, E., Swietanowski, A., Moritsch, H.: The aurora financial management system: Model and parallel implementation design. Ann. Oper. Res. 99, 189–206 (2000)MathSciNetzbMATHCrossRefGoogle Scholar
- Powell, W.B.: Approximate Dynamic Programming: Solving the Curses of Dimensionality. Wiley, Hoboken, NJ (2006)Google Scholar
- Rouwenhorst, K.G.: International momentum strategies. J. Finance 53(1), 267–284 (1998)CrossRefGoogle Scholar
- Rudolf, M., Ziemba, W.T.: Intertemporal asset-liability management. J. Econ. Dynam. Control 28(4), 975–990 (2004)MathSciNetCrossRefGoogle Scholar
- Samuelson, P.A.: Lifetime portfolio selection by dynamic stochastic programming. Rev. Econ. Stat. 51(3), 239–246 (1969)CrossRefGoogle Scholar
- Sutton, R., Barto, A.: Reinforcement Learning. The MIT Press, Cambridge, MA (1998)Google Scholar
- White, D.A., Sofge, D.A. (eds.) Handbook of Intelligent Control. Von Nostrand Reinhold, New York, NY (1992)Google Scholar
- Zenios, S.A., Ziemba, W.T. (eds.) Handbook of Asset and Liability Management. Handbooks in Finance vol. 1. Elsevier, Amsterdam (2006)Google Scholar
- Zenios, S.A., Ziemba, W.T. (eds.) Handbook of Asset and Liability Management. Handbooks in Finance vol. 2. Elsevier, Amsterdam (2007)Google Scholar
- Zhang, Z.: Stochastic optimization for enterprise risk management. PhD thesis, Princeton, NJ (2006)Google Scholar
- Ziemba, W.T., Mulvey, J.M. (eds.) Worldwide Asset and Liability Modeling. Cambridge University Press, Cambridge (1998)zbMATHGoogle Scholar
- Ziemba, W.T.: The Stochastic Programming Approach to Asset-Liability and Wealth Management. AIMR-Blackwell Charlottesville, VA (2003)Google Scholar