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Multistage Financial Planning Models: Integrating Stochastic Programs and Policy Simulators

  • John M. MulveyEmail author
  • Woo Chang Kim
Chapter
First Online:
Part of the International Series in Operations Research & Management Science book series (ISOR, volume 150)

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 Strategy 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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References

  1. 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
  2. Bertsekas, D., Tsitsiklis, J.: Neuro-Dynamic Programming. Athena Scientific, Belmont, MA (1996)Google Scholar
  3. 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
  4. Campbell, J.Y., Viceira, L.M.: Strategic Asset Allocation. Oxford University Press, New York, NY (2002)CrossRefGoogle Scholar
  5. 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
  6. Chan, L.K.C., Jegadeesh, N., Lakonishok, J.: Momentum strategies. J. Finance 51(5), 1681–1713 (1996)CrossRefGoogle Scholar
  7. Cleary, S., Inglis, M.: Momentum in Canadian stock returns. Revue Canadienne Des Sciences De L’Administration 15(3), 279–291 (1998)CrossRefGoogle Scholar
  8. Consigli, G., Dempster, M.A.H.: Dynamic stochastic programming for asset-liability management. Ann. Oper. Res. 81, 131–162 (1998)MathSciNetzbMATHCrossRefGoogle Scholar
  9. Dantzig, G.B., Infanger, G.: Multi-stage stochastic linear programs for portfolio optimization. Ann. Oper. Res. 45, 59–76 (1993)MathSciNetzbMATHCrossRefGoogle Scholar
  10. De Bondt, W.F.M., Thaler, R.: Does stock market overreact? J. Finance 40(3), 793–805 (1985)CrossRefGoogle Scholar
  11. 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
  12. 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
  13. 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
  14. Dert, C.L.: Asset liability management for pension funds. PhD thesis, Erasmus University, Rotterdam, Netherlands (1995)Google Scholar
  15. Fabozzi, F.J., Focardi, S., Jonas, C.: Can modeling help deal with the pension funding crisis? Working paper, The Intertek Group (2004)Google Scholar
  16. Fernholz, R.: Stochastic Portfolio Theory. Springer, New York, NY (2002)zbMATHGoogle Scholar
  17. Fernholz, R., Shay, B.: Stochastic portfolio theory and stock market equilibrium. J. Finance 37(2), 615–624 (1982)CrossRefGoogle Scholar
  18. George, T.J., Hwang, C.: The 52-week high and momentum investing. J. Finance 59(5), 2145–2176 (2004)CrossRefGoogle Scholar
  19. 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
  20. 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
  21. Infanger, G.: Planning Under Uncertainty - Solving Large-Scale Stochastic Linear Programs. The Scientific Press Series, Boyd & Fraser San Francisco, CA (1994)zbMATHGoogle Scholar
  22. Jegadeesh, N.: Evidence of predictable behavior of security returns. J. Finance 45(3), 881–898 (1990)CrossRefGoogle Scholar
  23. 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
  24. 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
  25. 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
  26. Lehmann, B.N.: Fads, martingales, and market efficiency. Quart. J. Econ. 105(1), 1–28 (1990)CrossRefGoogle Scholar
  27. Luenberger, D.: Investment Science. Oxford University Press, New York, NY (1998)Google Scholar
  28. Merton, R.C.: Lifetime portfolio selection under uncertainty: The continuous-time case. Rev. Econ. Stat. 51(3), 247–257 (1969)CrossRefGoogle Scholar
  29. Merton, R.C.: An intertemporal capital asset pricing model. Econometrica 41(5), 867–887 (1973)MathSciNetzbMATHCrossRefGoogle Scholar
  30. 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
  31. Mulvey, J.M.: Essential portfolio theory. A rydex investment white paper, Princeton University, Princeton, NJ (2005)Google Scholar
  32. 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
  33. 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
  34. 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
  35. 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
  36. Mulvey, J.M., Gould, G., Morgan, C.: An asset and liability management system for towers perrin-tillinghast. Interfaces 30, 96–114 (2000)CrossRefGoogle Scholar
  37. Mulvey, J.M., Pauling, B., Madey, R.E.: Advantages of multiperiod portfolio models. J. Portfolio Manage. 29, 35–45 (2003a)CrossRefGoogle Scholar
  38. 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
  39. 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
  40. 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
  41. 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
  42. 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
  43. Pflug, G.C., Swietanowski, A.: Asset-Liability Optimization for Pension Fund Management. Operations Research Proceedings, Springer Verlag pp. 124–135 (2000)Google Scholar
  44. 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
  45. Powell, W.B.: Approximate Dynamic Programming: Solving the Curses of Dimensionality. Wiley, Hoboken, NJ (2006)Google Scholar
  46. Rouwenhorst, K.G.: International momentum strategies. J. Finance 53(1), 267–284 (1998)CrossRefGoogle Scholar
  47. Rudolf, M., Ziemba, W.T.: Intertemporal asset-liability management. J. Econ. Dynam. Control 28(4), 975–990 (2004)MathSciNetCrossRefGoogle Scholar
  48. Samuelson, P.A.: Lifetime portfolio selection by dynamic stochastic programming. Rev. Econ. Stat. 51(3), 239–246 (1969)CrossRefGoogle Scholar
  49. Sutton, R., Barto, A.: Reinforcement Learning. The MIT Press, Cambridge, MA (1998)Google Scholar
  50. White, D.A., Sofge, D.A. (eds.) Handbook of Intelligent Control. Von Nostrand Reinhold, New York, NY (1992)Google Scholar
  51. Zenios, S.A., Ziemba, W.T. (eds.) Handbook of Asset and Liability Management. Handbooks in Finance vol. 1. Elsevier, Amsterdam (2006)Google Scholar
  52. Zenios, S.A., Ziemba, W.T. (eds.) Handbook of Asset and Liability Management. Handbooks in Finance vol. 2. Elsevier, Amsterdam (2007)Google Scholar
  53. Zhang, Z.: Stochastic optimization for enterprise risk management. PhD thesis, Princeton, NJ (2006)Google Scholar
  54. Ziemba, W.T., Mulvey, J.M. (eds.) Worldwide Asset and Liability Modeling. Cambridge University Press, Cambridge (1998)zbMATHGoogle Scholar
  55. Ziemba, W.T.: The Stochastic Programming Approach to Asset-Liability and Wealth Management. AIMR-Blackwell Charlottesville, VA (2003)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Operations Research and Financial EngineeringPrinceton UniversityPrincetonUSA
  2. 2.Department of Industrial and Systems EngineeringKorea Advanced Institute of Science and TechnologyDaejeonSouth Korea

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