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Household consumption, investment and life insurance

Author

Listed:
  • Bruhn, Kenneth
  • Steffensen, Mogens

Abstract

This paper develops a continuous-time Markov model for utility optimization of households. The household optimizes expected future utility from consumption by controlling consumption, investments and purchase of life insurance for each person in the household. The optimal controls are investigated in the special case of a two-person household, and we present graphics illustrating how differences between the two persons affect the controls.

Suggested Citation

  • Bruhn, Kenneth & Steffensen, Mogens, 2011. "Household consumption, investment and life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 48(3), pages 315-325, May.
  • Handle: RePEc:eee:insuma:v:48:y:2011:i:3:p:315-325
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    References listed on IDEAS

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    1. 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.
    2. Richard, Scott F., 1975. "Optimal consumption, portfolio and life insurance rules for an uncertain lived individual in a continuous time model," Journal of Financial Economics, Elsevier, vol. 2(2), pages 187-203, June.
    3. repec:aph:ajpbhl:1996:86:8:1087-1093_8 is not listed on IDEAS
    4. Kraft, Holger & Steffensen, Mogens, 2008. "Optimal Consumption and Insurance: A Continuous-time Markov Chain Approach," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 38(01), pages 231-257, May.
    5. Jay H. Hong & José-Víctor Ríos-Rull, 2012. "Life Insurance and Household Consumption," American Economic Review, American Economic Association, vol. 102(7), pages 3701-3730, December.
    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. repec:bla:jrinsu:v:84:y:2017:i:4:p:1171-1202 is not listed on IDEAS
    2. Jarner, Søren Fiig & Kronborg, Morten Tolver, 2016. "Entrance times of random walks: With applications to pension fund modeling," Insurance: Mathematics and Economics, Elsevier, vol. 67(C), pages 1-20.
    3. Schendel, Lorenz S., 2014. "Consumption-investment problems with stochastic mortality risk," SAFE Working Paper Series 43, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.
    4. Burren, Daniel, 2013. "Insurance demand and welfare-maximizing risk capital—Some hints for the regulator in the case of exponential preferences and exponential claims," Insurance: Mathematics and Economics, Elsevier, vol. 53(3), pages 551-568.
    5. Erhan Bayraktar & Virginia R. Young, 2012. "Life Insurance Purchasing to Maximize Utility of Household Consumption," Papers 1205.5958, arXiv.org, revised Jun 2013.
    6. Kraft, Holger & Schendel, Lorenz S. & Steffensen, Mogens, 2014. "Life insurance demand under health shock risk," SAFE Working Paper Series 40, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.
    7. Chen, An & Hentschel, Felix & Klein, Jakob K., 2015. "A utility- and CPT-based comparison of life insurance contracts with guarantees," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 327-339.

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