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Consumption and Investment Demand when Health Evolves Stochastically

Author

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  • Bolin, Kristian

    (Department of Economics, School of Business, Economics and Law, Göteborg University)

  • Caputo, Michael R.

    (Department of Economics University of Central Florida)

Abstract

The health capital model of Grossman (1972) is extended to account for uncertainty in the rate at which a stock of health depreciates. Two versions of the model are contemplated, one with a fully functioning financial market and the other in its absence. The comparative dynamics of the consumption and health-investment demand functions are studied in both models in a general setting, where it is shown that the key to deriving refutable results is to determine how a parameter or state variable affects the lifetime marginal utilities of health and wealth. To add further bite to the results, a stochastic control problem is solved for its feedback consumption and health-investment demand functions, thereby yielding estimable structural demand functions.

Suggested Citation

  • Bolin, Kristian & Caputo, Michael R., 2017. "Consumption and Investment Demand when Health Evolves Stochastically," Working Papers in Economics 710, University of Gothenburg, Department of Economics.
    • Handle: RePEc:hhs:gunwpe:0710
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    File URL: http://hdl.handle.net/2077/54122
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    References listed on IDEAS

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    Cited by:

    1. Giorgio Ferrari & Shihao Zhu, 2022. "On a Merton Problem with Irreversible Healthcare Investment," Papers 2212.05317, arXiv.org, revised Dec 2023.
    2. Ferrari, Giorgio & Zhu, Shihao, 2022. "Consumption Descision, Portfolio Choice and Healthcare Irreversible Investment," Center for Mathematical Economics Working Papers 671, Center for Mathematical Economics, Bielefeld University.

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    More about this item

    Keywords

    comparative dynamics; health capital; stochastic optimal control; structural equations;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior

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