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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 http://www-fae1-eao1-ehu-, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    • Handle: RePEc:ehu:ikerla:11072
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    References listed on IDEAS

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    1. 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.
    2. Sundaresan, S.M., 2000. "Continuous-Time Methods in Finance: A Review and an Assessment," Papers 00-03, Columbia - Graduate School of Business.
    3. Gong, Liutang & Smith, William & Zou, Heng-fu, 2007. "Consumption and Risk with hyperbolic discounting," Economics Letters, Elsevier, vol. 96(2), pages 153-160, August.
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    Cited by:

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    Keywords

    consumption; savings; portfolio choice; risk; hyperbolic discounting;
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