IDEAS home Printed from https://ideas.repec.org/a/eee/dyncon/v114y2020ics0165188918302471.html
   My bibliography  Save this article

Consumption and investment demand when health evolves stochastically

Author

Listed:
  • Bolin, Kristian
  • Caputo, Michael R.

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 general versions of the model are contemplated, one with a fully functioning financial market and the other in its absence. The comparative dynamics of the feedback form of the consumption and health-investment demand functions are studied in these general settings, where it is shown that the key to deriving refutable results is to determine how a parameter or state variable affects the expected lifetime marginal utilities of health and wealth. To add further reach to the results, a simplified stochastic control problem is explicitly solved, yielding estimable structural feedback demand functions.

Suggested Citation

  • Bolin, Kristian & Caputo, Michael R., 2020. "Consumption and investment demand when health evolves stochastically," Journal of Economic Dynamics and Control, Elsevier, vol. 114(C).
    • Handle: RePEc:eee:dyncon:v:114:y:2020:i:c:s0165188918302471
    DOI: 10.1016/j.jedc.2020.103893
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165188918302471
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.jedc.2020.103893?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Chang, Fwu-Ranq, 1996. "Uncertainty and investment in health," Journal of Health Economics, Elsevier, vol. 15(3), pages 369-376, June.
    2. 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.
    3. Selden, Thomas M., 1993. "Uncertainty and health care spending by the poor: The health capital model revisited," Journal of Health Economics, Elsevier, vol. 12(1), pages 109-115, April.
    4. Picone, Gabriel & Uribe, Martin & Mark Wilson, R., 1998. "The effect of uncertainty on the demand for medical care, health capital and wealth," Journal of Health Economics, Elsevier, vol. 17(2), pages 171-185, April.
    5. Caputo,Michael R., 2005. "Foundations of Dynamic Economic Analysis," Cambridge Books, Cambridge University Press, number 9780521842723.
    6. repec:cup:jdemec:v:81:y:2015:i:03:p:301-316_00 is not listed on IDEAS
    7. Holger STRULIK, 2015. "A Closed-form Solution for the Health Capital Model," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 81(3), pages 301-316, September.
    8. McLaren, Keith R & Cooper, Russel J, 1980. "Intertemporal Duality: Application to the Theory of the Firm," Econometrica, Econometric Society, vol. 48(7), pages 1755-1762, November.
    9. 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.
    10. 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.
    11. Titus Galama, 2011. "A Contribution to Health Capital Theory," Working Papers WR-831, RAND Corporation.
    12. Dardanoni, Valentino & Wagstaff, Adam, 1987. "Uncertainty, inequalities in health and the demand for health," Journal of Health Economics, Elsevier, vol. 6(4), pages 283-290, December.
    13. Bolin, Kristian & Lindgren, Björn, 2016. "Non-monotonic health behaviours – implications for individual health-related behaviour in a demand-for-health framework," Journal of Health Economics, Elsevier, vol. 50(C), pages 9-26.
    14. Julien Hugonnier & Florian Pelgrin, 2013. "Health and (Other) Asset Holdings," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 663-710.
    15. Ried, Walter, 1998. "Comparative dynamic analysis of the full Grossman model," Journal of Health Economics, Elsevier, vol. 17(4), pages 383-425, August.
    16. Pelgrin, Florian & St-Amour, Pascal, 2016. "Life cycle responses to health insurance status," Journal of Health Economics, Elsevier, vol. 49(C), pages 76-96.
    17. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    18. Rong Fu & Haruko Noguchi & Koichi Suga, 2016. "A Revisit to the Grossman Model with Endogenous Health Depreciation," Economics Bulletin, AccessEcon, vol. 36(4), pages 2405-2412.
    19. 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.
    20. Liljas, Bengt, 1998. "The demand for health with uncertainty and insurance," Journal of Health Economics, Elsevier, vol. 17(2), pages 153-170, April.
    21. Cooper, Russel J & McLaren, Keith R, 1980. "Atemporal, Temporal and Intertemporal Duality in Consumer Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 21(3), pages 599-609, October.
    22. 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.
    23. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, September.
    24. Larry G. Epstein, 1981. "Duality Theory and Functional Forms for Dynamic Factor Demands," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(1), pages 81-95.
    25. Eisenring, Christoph, 1999. "Comparative dynamics in a health investment model," Journal of Health Economics, Elsevier, vol. 18(5), pages 653-658, October.
    26. Ehrlich, Isaac, 2000. "Uncertain lifetime, life protection, and the value of life saving," Journal of Health Economics, Elsevier, vol. 19(3), pages 341-367, May.
    27. A. J. Culyer & J. P. Newhouse (ed.), 2000. "Handbook of Health Economics," Handbook of Health Economics, Elsevier, edition 1, volume 1, number 1.
    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. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bolin, Kristian & Lindgren, Björn, 2016. "Non-monotonic health behaviours – implications for individual health-related behaviour in a demand-for-health framework," Journal of Health Economics, Elsevier, vol. 50(C), pages 9-26.
    2. Strulik, Holger, 2015. "Frailty, mortality, and the demand for medical care," The Journal of the Economics of Ageing, Elsevier, vol. 6(C), pages 5-12.
    3. Bolin, Kristian & Lindgren, Björn, 2014. "Non-monotonic health behaviours - implications for individual health-related behaviour in a demand-for-health framework," Working Papers in Economics 588, University of Gothenburg, Department of Economics.
    4. Harris, Matthew & Kohn, Jennifer, 2015. "Reference dependent utility from health and the demand for medical care," MPRA Paper 61926, University Library of Munich, Germany.
    5. Beni­tez-Silva, Hugo & Ni, Huan, 2008. "Health status and health dynamics in an empirical model of expected longevity," Journal of Health Economics, Elsevier, vol. 27(3), pages 564-584, May.
    6. Burggraf, Christine, 2017. "Russian demand for dietary quality: Nutrition transition, diet quality measurement, and health investment theory," Studies on the Agricultural and Food Sector in Transition Economies, Leibniz Institute of Agricultural Development in Transition Economies (IAMO), volume 86, number 86, September.
    7. Michael Grossman, 1999. "The Human Capital Model of the Demand for Health," NBER Working Papers 7078, National Bureau of Economic Research, Inc.
    8. Burggraf, Christine, 2017. "Russian demand for dietary quality: Nutrition transition, diet quality measurement, and health investment theory," Studies on the Agricultural and Food Sector in Transition Economies 269539, Institute of Agricultural Development in Transition Economies (IAMO).
    9. repec:zbw:iamost:269539 is not listed on IDEAS
    10. Caputo, Michael R., 2021. "New insights in the canonical model of health capital," Mathematical Social Sciences, Elsevier, vol. 110(C), pages 23-33.
    11. Bolin, Kristian & Jacobson, Lena & Lindgren, Bjorn, 2002. "Employer investments in employee health: Implications for the family as health producer," Journal of Health Economics, Elsevier, vol. 21(4), pages 563-583, July.
    12. Tadashi Yamada & Tetsuji Yamada & Chia-Ching Chen & Weihong Zeng, 2014. "Determinants of health insurance and hospitalization," Cogent Economics & Finance, Taylor & Francis Journals, vol. 2(1), pages 1-27, December.
    13. Bolin, Kristian & Liljas, Bengt & Lindgren, Björn, 2014. "Individual technologies for health - the implications of distinguishing between the ability to produce health investments and the capacity to benefit from those investments," Working Papers in Economics 587, University of Gothenburg, Department of Economics.
    14. Galama, T. & Hullegie, P. & Meijer, E. & Outcault, S., 2012. "Empirical evidence for decreasing returns to scale in a health capital model," Health, Econometrics and Data Group (HEDG) Working Papers 12/05, HEDG, c/o Department of Economics, University of York.
    15. Strulik, Holger, 2015. "A Closed-Form Solution For The Health Capital Model," Journal of Demographic Economics, Cambridge University Press, vol. 81(3), pages 301-316, September.
    16. Rebecca Mary Myerson & Darius Lakdawalla & Lisandro D. Colantonio & Monika Safford & David Meltzer, 2018. "Effects of Expanding Health Screening on Treatment - What Should We Expect? What Can We Learn?," NBER Working Papers 24347, National Bureau of Economic Research, Inc.
    17. Hullegie, P.G.J., 2012. "Essays on health and labor economics," Other publications TiSEM dcc68fc9-7af1-4ba9-8f90-6, Tilburg University, School of Economics and Management.
    18. Julien Hugonnier & Florian Pelgrin & Pascal St‐Amour, 2020. "Closing down the shop: Optimal health and wealth dynamics near the end of life," Health Economics, John Wiley & Sons, Ltd., vol. 29(2), pages 138-153, February.
    19. Kristian Bolin & Bjorn Lindgren, 2012. "The Double Facetted Nature of Health Investments - Implications for Equilibrium and Stability in a Demand-for-Health Framework," NBER Working Papers 17789, National Bureau of Economic Research, Inc.
    20. Titus J. Galama & Patrick Hullegie & Erik Meijer & Sarah Outcault, 2012. "Is There Empirical Evidence For Decreasing Returns To Scale In A Health Capital Model?," Health Economics, John Wiley & Sons, Ltd., vol. 21(9), pages 1080-1100, September.
    21. Galama, Titus & Kapteyn, Arie, 2011. "Grossman’s missing health threshold," Journal of Health Economics, Elsevier, vol. 30(5), pages 1044-1056.

    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

    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:eee:dyncon:v:114:y:2020:i:c:s0165188918302471. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jedc .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.