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Consumption and portfolio rules whit stochastic hyperbolic discounting

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  • Palacios Huerta, Ignacio
  • Pérez Kakabadse, Alonso

Abstract

We extend the classic Merton (1969, 1971) problem that investigates the joint consumption-savings and portfolio-selection problem under capital risk by assuming sophisticated but time-inconsistent agents. We introduce stochastic hyperbolic preferences as in Harris and Laibson (2013) and find closed-form solutions for Merton's optimal consumption and portfolio selection problem in continuous time. We find that the portfolio rule remains identical to the time-consistent solution with power utility and no borrowing constraints. However,the marginal propensity to consume out of wealth is unambiguously greater than the time-consistent, exponential case and,importantly, it is also more responsive to changes in risk. These results suggest that hyperbolic discounting with sophisticated agents offers promise for contributing to explaining important aspects of asset market data.

Suggested Citation

  • Palacios Huerta, Ignacio & Pérez Kakabadse, Alonso, 2013. "Consumption and portfolio rules whit stochastic hyperbolic discounting," IKERLANAK Ikerlanak;2013-72, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
  • Handle: RePEc:ehu:ikerla:11072
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    File URL: https://addi.ehu.es/handle/10810/11072
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    References listed on IDEAS

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    1. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.
    2. Liutang Gong & William Smith & Heng-fu Zou, 2007. "Asset Prices and Hyperbolic Discounting," Annals of Economics and Finance, Society for AEF, vol. 8(2), pages 397-414, November.
    3. Sundaresan, S.M., 2000. "Continuous-Time Methods in Finance: A Review and an Assessment," Papers 00-03, Columbia - Graduate School of Business.
    4. 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.
    5. Gong, Liutang & Smith, William & Zou, Heng-fu, 2007. "Consumption and Risk with hyperbolic discounting," Economics Letters, Elsevier, vol. 96(2), pages 153-160, August.
    6. Yoram Halevy, 2008. "Strotz Meets Allais: Diminishing Impatience and the Certainty Effect," American Economic Review, American Economic Association, vol. 98(3), pages 1145-1162, June.
    7. David Laibson & Andrea Repetto & Jeremy Tobacman, 2005. "Estimating Discount Functions with Consumption Choices over the Lifecycle," Levine's Bibliography 784828000000000643, UCLA Department of Economics.
    8. 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 247-257, August.
    9. Narayana R. Kocherlakota, 1996. "The Equity Premium: It's Still a Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(1), pages 42-71, March.
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    Cited by:

    1. Victor Stango & Joanne Yoong & Jonathan Zinman, 2017. "Quicksand or Bedrock for Behavioral Economics? Assessing Foundational Empirical Questions," NBER Working Papers 23625, National Bureau of Economic Research, Inc.
    2. Victor Stango & Jonathan Zinman, 2019. "We are all Behavioral, More or Less: Measuring and Using Consumer-level Behavioral Sufficient Statistics," NBER Working Papers 25540, National Bureau of Economic Research, Inc.
    3. Victor Stango & Joanne Yoong & Jonathan Zinman, 2017. "The Quest for Parsimony in Behavioral Economics: New Methods and Evidence on Three Fronts," NBER Working Papers 23057, National Bureau of Economic Research, Inc.
    4. Zou, Ziran & Chen, Shou & Wedge, Lei, 2014. "Finite horizon consumption and portfolio decisions with stochastic hyperbolic discounting," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 70-80.

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    More about this item

    Keywords

    consumption; savings; portfolio choice; risk; hyperbolic discounting;
    All these keywords.

    JEL classification:

    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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