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Stochastic lifestyling: optimal dynamic asset allocation for defined contribution pension plans

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  • Cairns, Andrew J. G.
  • Blake, David
  • Dowd, Kevin

Abstract

This paper considers the asset-allocation strategies open to members of defined- contribution pension plans. We investigate a model that incorporates three sources of risk: asset risk and salary (or labour-income) risk in the accumulation phase; and interest-rate risk at the point of retirement. We propose a new form of terminal utility function, incorporating habit formation, that uses the plan member's final salary as a numeraire. The paper discusses various properties and characteristics of the optimal stochastic asset-allocation strategy (which we call stochastic lifestyling) both with and without the presence of non-hedgeable salary risk. We compare the performance of stochastic lifestlying with some popular strategies used by pension providers, including deterministic lifestyling (which involves a gradual switch from equities to bonds according to preset rules) and static strategies that invest in benchmark mixed funds. We find that the use of stochastic lifestyling significantly enhances the welfare of a wide range of potential plan members relative to these other strategies.

Suggested Citation

  • Cairns, Andrew J. G. & Blake, David & Dowd, Kevin, 2004. "Stochastic lifestyling: optimal dynamic asset allocation for defined contribution pension plans," LSE Research Online Documents on Economics 24831, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:24831
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    More about this item

    Keywords

    stoshastic control; optimal asset allocation; stochastic lifestyling; utility numeraire; habit formation; non-hedgeable salary risk; HJB equation;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G23 - Financial Economics - - Financial Institutions and Services - - - Non-bank Financial Institutions; Financial Instruments; Institutional Investors
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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