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Asset liability management for individual households

Published online by Cambridge University Press:  25 November 2011

Abstract

Personal finance is a challenging topic which can benefit from a scientific approach to individual financial planning. This paper presents an individual asset liability management (iALM) model for life cycle planning which uses the methodology of dynamic stochastic optimisation and incorporates ideas from both classical and behavioural finance. Its implementation is in the form of a decision support tool for use by financial advisers or wealth managers. The investment universe is given by a set of indices for major asset classes and their returns are simulated forward over the lifetime of a household. On the liability side the foreseen cash flows of incomes and outgoings are simulated and punctuated by life events such as illness and death. The household's utility function is constructed for each time period over a range of monetary values in terms of household financial goals and preferences. Taxes and pension savings are treated using the tax shielded saving accounts specific to a national jurisdiction in terms of constraints in the optimisation sub-models. The paper goes on to present an analysis of iALM model recommendations for a representative UK household, together with an evaluation of the sensitivity of the financial plan generated to changes in market environments such as the 2007–9 crisis. The promise of this new technology is to bring modern decision support tools to individual investors in order to facilitate custom designed consumption, savings and investment policies.

Type
Sessional meetings: papers and abstracts of discussions
Copyright
Copyright © Institute and Faculty of Actuaries 2011

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References

Amenc, N., Martinelli, L., Milhau, V., Ziemann, V. (2009). Asset-liability management in private wealth management. Journal of Portfolio Management, 36.1, 100120.CrossRefGoogle Scholar
Arnott, R.D. (2006). Editor's Corner. Financial Analysts Journal, 62.2, 1112.Google Scholar
Attanasio, O.P., Bank, J., Meghir, C., Weber, G. (1999). Humps and bumps in lifetime consumption. Journal of Business & Economic Statistics, 17.1, 2235.CrossRefGoogle Scholar
Barber, B.M., Odean, T. (2005). Individual investors. In: Advances in Behavioural Finance, vol. II (R.H. Thaler, ed.), Princeton University Press, 543569.Google Scholar
Berger, A.J., Mulvey, J.M. (1998). The Home Account Advisor™: Asset and liability management for individual investors. In:Worldwide Asset and Liability Modeling (W.T. Ziemba & J. M. Mulvey, eds.), Cambridge University Press, 634665.Google Scholar
Blake, D. (2003). Pension Schemes and Pension Funds in the United Kingdom, 2nd ed. Oxford University Press.CrossRefGoogle Scholar
Bodie, Z. (2007). Overview. In: The Future of Life-Cycle Saving and Investing, op.cit. xvii–xxii.Google Scholar
Bodie, Z., Treussard, J., Willen, P. (2007a). The theory of life-cycle saving and investing. Public Policy Discussion Paper 07-3, Federal Reserve Bank of Boston.CrossRefGoogle Scholar
Bodie, Z., McLeavy, D., Siegel, L.B. (eds.) (2007b). The Future of Life-Cycle Saving and Investing, 2nd ed. Research Foundation of the CFA Institute, Charlottesville, VA.Google Scholar
Campbell, J., Viceira, L. (2002). Strategic Asset allocation: Portfolio Choice for Long Term Investors. Oxford University Press.CrossRefGoogle Scholar
Carrol, C.D. (2000). Portfolios of the rich. NBER Working Paper, 19 July 2000.CrossRefGoogle Scholar
Consigli, G. (2007). Asset-liability management for individual investors. In Handbook of Asset and Liability Management, vol. 2, op.cit., Chapter 17, 751–827.Google Scholar
Consiglio, A., Cocco, F., Zenios, S.A. (2004). Personal_Asset_Allocation. Interfaces, 344.4, 287302.CrossRefGoogle Scholar
Clark, G.L., Munnell, A.H., Orszag, J.M. (eds.) (2006). The Oxford Handbook of Pensions and Retirement Income. Oxford University Press.CrossRefGoogle Scholar
Dantzig, G.B., Madansky, A. (1961). On the solution of two stage linear programs under uncertainty. In: Proceedings of the Fourth Symposium on Mathematical Statistics and Probability, Vol. I. University of California, Berkeley, CA, 165176.Google Scholar
Dempster, M.A.H. (1988). On stochastic programming: II. Dynamic problems under risk. Stochastics, 25, 1542.CrossRefGoogle Scholar
Dempster, M.A.H., Thompson, G.W.P. (2002). Dynamic portfolio replication using stochastic programming. In: Risk Management: Value at Risk and Beyond, M.A.H. Dempster, ed., Cambridge University Press, 100128.CrossRefGoogle Scholar
Dempster, M.A.H. (2006). Sequential importance sampling algorithms for dynamic stochastic programming. Journal of Mathematical Sciences, 133.4, 14221444.CrossRefGoogle Scholar
Dempster, M.A.H., Hicks Pedrón, N., Medova, E.A., Scott, J.E., Sembos, A. (2000). Planning logistics operations in the oil industry. Journal of the Operational Research Society, 51.11, 12711288.CrossRefGoogle Scholar
Dempster, M.A.H., Germano, M., Medova, E.A., Villaverde, M. (2003). Global asset liability management. British Actuarial Journal, 9.1, 137216 (with discussion).CrossRefGoogle Scholar
Dempster, M.A.H., Germano, M., Medova, E.A., Rietbergen, M., Sandrini, F., Scrowston, M. (2006). Managing guarantees. Journal of Portfolio Management, 32.2, 5161.CrossRefGoogle Scholar
Dempster, M.A.H., Mitra, G., Plug, G. (eds.) (2008). Quantitative Fund Management. Chapman & Hall/CRC Series in Mathematical Finance, Taylor and Francis, Boca Raton, FL.CrossRefGoogle Scholar
Dempster, M.A.H., Germano, M., Medova, E.A., Murphy, J.K., Sandrini, F. (2009). Risk profiling defined benefit pension schemes. Journal of Portfolio Management, 35.4, 7693.CrossRefGoogle Scholar
Geyer, A., Hanke, M., Weissensteiner, A. (2009). Life-cycle asset allocation and consumption using stochastic linear programming. Journal of Computational Finance, 12.4, 2950.CrossRefGoogle Scholar
Hoevenaars, R., Molenar, R., Schotman, P., Steenkamp, T. (2009). Strategic asset allocation with liabilities: Beyond stocks and bonds. Journal of Economic Dynamics and Control, 32.9, 29392970.Google Scholar
HMRC (2008). Pension Schemes Services. HM Revenue&Customs. Available on line at: http://www.hmrc.gov.uk/PENSIONSSCHEMESGoogle Scholar
Kahneman, D. (2009). The myth of risk attitudes. Journal of Portfolio Management, 36.1, 1.CrossRefGoogle Scholar
Kahneman, D., Tversky, A. (1979). Prospect theory: An analysis of decision under risk. Econometrica, 47.2, 263291.CrossRefGoogle Scholar
Kahneman, D., Riepe, M.W. (1998). Aspects of investor psychology. Journal of Portfolio Management, 24.4, 5265.CrossRefGoogle Scholar
Kotlikoff, L.J. (2008). ESPlanner. Available on line at: http://www.esplanner.comGoogle Scholar
Medova, E.A., Murphy, J.K., Owen, A.P., Rehman, K. (2008). Individual asset liability management. Quantitative Finance, 8.6, 547560.CrossRefGoogle Scholar
Merton, R.C. (1969). Lifetime portfolio selection under uncertainty: The continuous-time case. Review of Economics and Statistics, 51.3, 247257.CrossRefGoogle Scholar
Milevsky, M.A. (2006). The Calculus of Retirement Income: Financial Models for Pension Annuities and Life Insurance. Cambridge University Press.CrossRefGoogle Scholar
OECD (2009). Pension Markets in Focus. OECD Report, Paris, 26 October 2009.CrossRefGoogle Scholar
Prekopa, A. (1995). Stochastic Programming. Kluwer, Dordrecht.CrossRefGoogle Scholar
Richard, S.F. (1975). Optimal consumption, portfolio and life insurance rules for an uncertain lived individual. Journal of Financial Economics, 2, 187203.CrossRefGoogle Scholar
Samuelson, P.A. (1948). Economics: An Introductory Analysis. McGraw-Hill/Irwin, New York.Google Scholar
Samuelson, P.A. (1969). Lifetime portfolio selection by dynamic stochastic programming. Review of Economics & Statistics, 51.3, 239246.CrossRefGoogle Scholar
Samuelson, P.A. (2007). Keynote address. In: The Future of Life-Cycle Saving and Investing, ibid.Google Scholar
Wallace, S.W., Ziemba, W.T. (eds.) (2005). Applications of Stochastic Programming. MPS-SIAM Series on Optimisation, Society for Industrial and Applied Mathematics, Philadelphia, PA.CrossRefGoogle Scholar
Wilcox, J., Fabozzi, F.J. (2009). A discretionary wealth approach for investment policy. Journal of Portfolio Management, 36.1, 4659.CrossRefGoogle Scholar
Zenios, S.A., Ziemba, W.T. (eds.) (2007). Handbook of Asset and Liability Management, Vol.2: Applications and Case Studies. North-Holland, Amsterdam.Google Scholar