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Optimal smooth consumption and annuity design

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  • Bruhn, Kenneth
  • Steffensen, Mogens

Abstract

We propose an optimization criterion that yields extraordinary consumption smoothing compared to the well known results of the life-cycle model. Under this criterion we solve the related consumption and investment optimization problem faced by individuals with preferences for intertemporal stability in consumption. We find that the consumption and investment patterns demanded under the optimization criterion is in general offered as annuity benefits from products in the class of ‘Formula Based Smoothed Investment-Linked Annuities’.

Suggested Citation

  • Bruhn, Kenneth & Steffensen, Mogens, 2013. "Optimal smooth consumption and annuity design," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 2693-2701.
    • Handle: RePEc:eee:jbfina:v:37:y:2013:i:8:p:2693-2701
    DOI: 10.1016/j.jbankfin.2013.03.015
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    References listed on IDEAS

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    10. Paul A. Samuelson, 2011. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 31, pages 465-472, World Scientific Publishing Co. Pte. Ltd..
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    Cited by:

    1. Thomas Bernhardt & Catherine Donnelly, 2020. "Quantifying the trade-off between income stability and the number of members in a pooled annuity fund," Papers 2010.16009, arXiv.org.
    2. Kenneth Bruhn & Ninna Reitzel Jensen & Mogens Steffensen, 2016. "Smooth investment," Annals of Finance, Springer, vol. 12(3), pages 335-361, December.

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    More about this item

    Keywords

    Stochastic control; Quadratic optimization; Linear regulation; Consumption smoothing; Formula Based Smoothed Investment-Linked Annuities;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles
    • D14 - Microeconomics - - Household Behavior - - - Household Saving; Personal Finance
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G02 - Financial Economics - - General - - - Behavioral Finance: Underlying Principles
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies

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