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Optimal smooth consumption and annuity design

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  • Bruhn, Kenneth
  • Steffensen, Mogens
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    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’.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378426613001581
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    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Banking & Finance.

    Volume (Year): 37 (2013)
    Issue (Month): 8 ()
    Pages: 2693-2701

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    Handle: RePEc:eee:jbfina:v:37:y:2013:i:8:p:2693-2701

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    Web page: http://www.elsevier.com/locate/jbf

    Related research

    Keywords: Stochastic control; Quadratic optimization; Linear regulation; Consumption smoothing; Formula Based Smoothed Investment-Linked Annuities;

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    1. Sundaresan, Suresh M, 1989. "Intertemporally Dependent Preferences and the Volatility of Consumption and Wealth," Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 73-89.
    2. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
    3. A. Abel, 2010. "Asset prices under habit formation and catching up with the Jones," Levine's Working Paper Archive 1395, David K. Levine.
    4. Longstaff, Francis A, 2001. "Optimal Portfolio Choice and the Valuation of Illiquid Securities," Review of Financial Studies, Society for Financial Studies, vol. 14(2), pages 407-31.
    5. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August.
    6. Munk, Claus, 2008. "Portfolio and consumption choice with stochastic investment opportunities and habit formation in preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 32(11), pages 3560-3589, November.
    7. Guillen, Montserrat & Jorgensen, Peter Lochte & Nielsen, Jens Perch, 2006. "Return smoothing mechanisms in life and pension insurance: Path-dependent contingent claims," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 229-252, April.
    8. Stephen Zeldes, . "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," Rodney L. White Center for Financial Research Working Papers 20-86, Wharton School Rodney L. White Center for Financial Research.
    9. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June.
    10. Samuelson, Paul A, 1969. "Lifetime Portfolio Selection by Dynamic Stochastic Programming," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 239-46, August.
    11. Black, Fischer, 1990. "Mean Reversion and Consumption Smoothing," Review of Financial Studies, Society for Financial Studies, vol. 3(1), pages 107-14.
    12. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-65, April.
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