IDEAS home Printed from https://ideas.repec.org/p/zbw/cegedp/222.html
   My bibliography  Save this paper

A closed-form solution for the health capital model

Author

Listed:
  • Strulik, Holger

Abstract

This paper provides a closed-form solution for the health capital model of health demand. The results are exploited in order to prove analytically the comparative dynamics of the model. Results are derived for the so called pure investment model, the pure consumption model and a combination of both types of models. Given the plausible assumptions that (i) health declines with age and that (ii) the health capital stock at death is lower than the health capital stock needed for eternal life, it is shown that the optimal solution always implies eternal life. This outcome occurs independently from the initial stock of health, the impact of health on productivity, and the importance of health for utility and it is robust against the introduction of a finite age-dependent rate of health depreciation.

Suggested Citation

  • Strulik, Holger, 2014. "A closed-form solution for the health capital model," Center for European, Governance and Economic Development Research Discussion Papers 222, University of Goettingen, Department of Economics.
    • Handle: RePEc:zbw:cegedp:222
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/103879/1/804405212.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    1. Cropper, M L, 1977. "Health, Investment in Health, and Occupational Choice," Journal of Political Economy, University of Chicago Press, vol. 85(6), pages 1273-1294, December.
    2. Galama, Titus & Kapteyn, Arie, 2011. "Grossman’s missing health threshold," Journal of Health Economics, Elsevier, vol. 30(5), pages 1044-1056.
    3. Kuhn, Michael & Wrzaczek, Stefan & Prskawetz, Alexia & Feichtinger, Gustav, 2015. "Optimal choice of health and retirement in a life-cycle model," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 186-212.
    4. Strulik, Holger, 2011. "Health and Education: Understanding the Gradient," Hannover Economic Papers (HEP) dp-487, Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät.
    5. Havranek, Tomas & Horvath, Roman & Irsova, Zuzana & Rusnak, Marek, 2015. "Cross-country heterogeneity in intertemporal substitution," Journal of International Economics, Elsevier, vol. 96(1), pages 100-118.
    6. Wagstaff, Adam, 1986. "The demand for health : Some new empirical evidence," Journal of Health Economics, Elsevier, vol. 5(3), pages 195-233, September.
    7. Carl-Johan Dalgaard & Holger Strulik, 2014. "Optimal Aging And Death: Understanding The Preston Curve," Journal of the European Economic Association, European Economic Association, vol. 12(3), pages 672-701, June.
    8. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, Oxford University Press, vol. 122(1), pages 39-72.
    9. Meier, Volker, 2000. "On the demand for preventive care," Munich Reprints in Economics 19191, University of Munich, Department of Economics.
    10. Ehrlich, Isaac & Chuma, Hiroyuki, 1990. "A Model of the Demand for Longevity and the Value of Life Extension," Journal of Political Economy, University of Chicago Press, vol. 98(4), pages 761-782, August.
    11. Audrey Laporte & Brian Ferguson, 2007. "Investment in health when health is stochastic," Journal of Population Economics, Springer;European Society for Population Economics, vol. 20(2), pages 423-444, April.
    12. Eisenring, Christoph, 1999. "Comparative dynamics in a health investment model," Journal of Health Economics, Elsevier, vol. 18(5), pages 653-658, October.
    13. Jacobson, Lena, 2000. "The family as producer of health -- an extended grossman model," Journal of Health Economics, Elsevier, vol. 19(5), pages 611-637, September.
    14. Grossman, Michael, 1972. "On the Concept of Health Capital and the Demand for Health," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 223-255, March-Apr.
    15. Grossman, Michael, 2000. "The human capital model," Handbook of Health Economics, in: A. J. Culyer & J. P. Newhouse (ed.), Handbook of Health Economics, edition 1, volume 1, chapter 7, pages 347-408, Elsevier.
    16. Carl-Johan Dalgaard & Holger Strulik, 2017. "The Genesis of the Golden Age: Accounting for the Rise in Health and Leisure," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 132-151, March.
    17. Ried, Walter, 1998. "Comparative dynamic analysis of the full Grossman model," Journal of Health Economics, Elsevier, vol. 17(4), pages 383-425, August.
    18. Muurinen, Jaana-Marja, 1982. "Demand for health: A generalised Grossman model," Journal of Health Economics, Elsevier, vol. 1(1), pages 5-28, May.
    19. van Kippersluis, Hans & Galama, Titus J., 2014. "Wealth and health behavior: Testing the concept of a health cost," European Economic Review, Elsevier, vol. 72(C), pages 197-220.
    20. Forster, Martin, 2001. "The meaning of death: some simulations of a model of healthy and unhealthy consumption," Journal of Health Economics, Elsevier, vol. 20(4), pages 613-638, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. D. Dragone & H. Strulik, 2017. "Human Health and Aging over an Infinite Time Horizon," Working Papers wp1104, Dipartimento Scienze Economiche, Universita' di Bologna.
    2. Carl-Johan Dalgaard & Holger Strulik, 2017. "The Genesis of the Golden Age: Accounting for the Rise in Health and Leisure," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 132-151, March.
    3. Schünemann, Johannes & Strulik, Holger & Trimborn, Timo, 2017. "Going from bad to worse: Adaptation to poor health health spending, longevity, and the value of life," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 130-146.
    4. Jochen Hartwig & Jan-Egbert Sturm, 2018. "Testing the Grossman model of medical spending determinants with macroeconomic panel data," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 19(8), pages 1067-1086, November.
    5. repec:eee:joecag:v:6:y:2015:i:c:p:5-12 is not listed on IDEAS
    6. repec:eee:jeborg:v:158:y:2019:i:c:p:269-287 is not listed on IDEAS
    7. Strulik, Holger, 2018. "The return to education in terms of wealth and health," The Journal of the Economics of Ageing, Elsevier, vol. 12(C), pages 1-14.
    8. Strulik, Holger, 2018. "Smoking kills: An economic theory of addiction, health deficit accumulation, and longevity," Journal of Health Economics, Elsevier, vol. 62(C), pages 1-12.
    9. Davide Dragone & Holger Strulik, 2018. "Negligible Senescence: An Economic Life Cycle Model for the Future," CESifo Working Paper Series 7246, CESifo Group Munich.
    10. Schünemann, Johannes & Strulik, Holger & Trimborn, Timo, 2017. "The gender gap in mortality: How much is explained by behavior?," Journal of Health Economics, Elsevier, vol. 54(C), pages 79-90.
    11. Trimborn, Timo & Schünemann, Johannes & Strulik, Holger, 2016. "Disentangling the Gender Gap in Longevity," Annual Conference 2016 (Augsburg): Demographic Change 145570, Verein für Socialpolitik / German Economic Association.
    12. 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.
    13. Titus Galama, 2011. "A Contribution to Health Capital Theory," Working Papers WR-831, RAND Corporation.
    14. Strulik, Holger, 2019. "An economic theory of depression and its impact on health behavior and longevity," Journal of Economic Behavior & Organization, Elsevier, vol. 158(C), pages 269-287.

    More about this item

    Keywords

    longevity; health; health care demand;

    JEL classification:

    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • J17 - Labor and Demographic Economics - - Demographic Economics - - - Value of Life; Foregone Income
    • J26 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Retirement; Retirement Policies
    • I12 - Health, Education, and Welfare - - Health - - - Health Behavior

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:zbw:cegedp:222. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (ZBW - Leibniz Information Centre for Economics). General contact details of provider: http://edirc.repec.org/data/cdgoede.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.