[go: up one dir, main page]
More Web Proxy on the site http://driver.im/
IDEAS home Printed from https://ideas.repec.org/p/nya/albaec/10-02.html
   My bibliography  Save this paper

The Markov Consumption Problem

Author

Listed:
  • Michael Sattinger
Abstract
The paper derives the solution to a simple stochastic continuous-time dynamic control problem in which a consumer determines consumption and saving while moving between employment and unemployment according to a Markov process. The results differ from the permanent income hypothesis and some of Hall's 1978 results based on autoregressive income shocks.

Suggested Citation

  • Michael Sattinger, 2010. "The Markov Consumption Problem," Discussion Papers 10-02, University at Albany, SUNY, Department of Economics.
    • Handle: RePEc:nya:albaec:10-02
    as

    Download full text from publisher

    File URL: http://www.albany.edu/economics/research/workingp/2010/MCP2010wFigures.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Caballero, Ricardo J., 1990. "Consumption puzzles and precautionary savings," Journal of Monetary Economics, Elsevier, vol. 25(1), pages 113-136, January.
    2. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    3. Carroll, Christopher D., 2009. "Precautionary saving and the marginal propensity to consume out of permanent income," Journal of Monetary Economics, Elsevier, vol. 56(6), pages 780-790, September.
    4. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    5. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-732, May.
    6. Sadoulet, Elisabeth & Fukui, Seiichi & Janvry, Alan de, 1994. "Efficient share tenancy contracts under risk: The case of two rice-growing villages in Thailand," Journal of Development Economics, Elsevier, vol. 45(2), pages 225-243, December.
    7. Dora Costa & Richard H. Steckel, 1997. "Long-Term Trends in Health, Welfare, and Economic Growth in the United States," NBER Chapters, in: Health and Welfare during Industrialization, pages 47-90, National Bureau of Economic Research, Inc.
    8. Rosenzweig, Mark R & Wolpin, Kenneth I, 1993. "Credit Market Constraints, Consumption Smoothing, and the Accumulation of Durable Production Assets in Low-Income Countries: Investment in Bullocks in India," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 223-244, April.
    9. Miller, Bruce L, 1974. "Optimal Consumption with a Stochastic Income Stream," Econometrica, Econometric Society, vol. 42(2), pages 253-266, March.
    10. Kimball, Miles S & Mankiw, N Gregory, 1989. "Precautionary Saving and the Timing of Taxes," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 863-879, August.
    11. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    12. Deaton, Angus, 1991. "Saving and Liquidity Constraints," Econometrica, Econometric Society, vol. 59(5), pages 1221-1248, September.
    13. Gersovitz, Mark, 1988. "Saving and development," Handbook of Development Economics, in: Hollis Chenery & T.N. Srinivasan (ed.), Handbook of Development Economics, edition 1, volume 1, chapter 10, pages 381-424, Elsevier.
    14. Nicholas Kaldor, 1955. "Alternative Theories of Distribution," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(2), pages 83-100.
    15. Hyeng Keun Koo, 1998. "Consumption and Portfolio Selection with Labor Income: A Continuous Time Approach," Mathematical Finance, Wiley Blackwell, vol. 8(1), pages 49-65, January.
    16. Shankha Chakraborty & Mausumi Das, 2005. "Mortality, Human Capital and Persistent Inequality," Journal of Economic Growth, Springer, vol. 10(2), pages 159-192, June.
    17. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    18. Pierre-Olivier Gourinchas & Jonathan A. Parker, 2002. "Consumption Over the Life Cycle," Econometrica, Econometric Society, vol. 70(1), pages 47-89, January.
    19. Toche, Patrick, 2005. "A tractable model of precautionary saving in continuous time," Economics Letters, Elsevier, vol. 87(2), pages 267-272, May.
    20. Stephen P. Zeldes, 1989. "Optimal Consumption with Stochastic Income: Deviations from Certainty Equivalence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 104(2), pages 275-298.
    21. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, April.
    22. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 659-684.
    23. Banerjee, Abhijit V & Newman, Andrew F, 1993. "Occupational Choice and the Process of Development," Journal of Political Economy, University of Chicago Press, vol. 101(2), pages 274-298, April.
    24. Christopher D. Carroll & Patrick Toche, 2009. "A Tractable Model of Buffer Stock Saving," NBER Working Papers 15265, National Bureau of Economic Research, Inc.
    25. Ray, Debraj & Streufert, Peter A, 1993. "Dynamic Equilibria with Unemployment Due to Undernourishment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(1), pages 61-85, January.
    26. Carroll, Christopher D & Kimball, Miles S, 1996. "On the Concavity of the Consumption Function," Econometrica, Econometric Society, vol. 64(4), pages 981-992, July.
    27. Christopher D. Carroll, 1997. "Buffer-Stock Saving and the Life Cycle/Permanent Income Hypothesis," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(1), pages 1-55.
    28. Glomm, Gerhard & Palumbo, Michael G., 1993. "Optimal intertemporal consumption decisions under the threat of starvation," Journal of Development Economics, Elsevier, vol. 42(2), pages 271-291, December.
    29. David Cutler & Angus Deaton & Adriana Lleras-Muney, 2006. "The Determinants of Mortality," Journal of Economic Perspectives, American Economic Association, vol. 20(3), pages 97-120, Summer.
    30. 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.
    31. Hey, John D, 1984. "Optimal Consumption When Income Follows a Markov Process," Bulletin of Economic Research, Wiley Blackwell, vol. 36(2), pages 109-118, November.
    32. Mark Huggett, 2004. "Precautionary Wealth Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(3), pages 769-781.
    33. Oded Galor & Joseph Zeira, 1993. "Income Distribution and Macroeconomics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(1), pages 35-52.
    34. Thomas Piketty, 1997. "The Dynamics of the Wealth Distribution and the Interest Rate with Credit Rationing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(2), pages 173-189.
    35. Gary D. Thompson & Paul N. Wilson, 1994. "Ejido Reforms in Mexico: Conceptual Issues and Potential Outcomes," Land Economics, University of Wisconsin Press, vol. 70(4), pages 448-465.
    36. Besley, Timothy, 1995. "Savings, credit and insurance," Handbook of Development Economics, in: Hollis Chenery & T.N. Srinivasan (ed.), Handbook of Development Economics, edition 1, volume 3, chapter 36, pages 2123-2207, Elsevier.
    37. Gersovitz, Mark, 1983. "Savings and Nutrition at Low Incomes," Journal of Political Economy, University of Chicago Press, vol. 91(5), pages 841-855, October.
    38. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    39. Lester G. Telser, 1955. "Safety First and Hedging," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(1), pages 1-16.
    40. Fogel, Robert William, 1993. "New findings on secular trends in nutrition and mortality: Some implications for population theory," Handbook of Population and Family Economics, in: M. R. Rosenzweig & Stark, O. (ed.), Handbook of Population and Family Economics, edition 1, volume 1, chapter 9, pages 433-481, Elsevier.
    41. Christopher D. Carroll, 2001. "A Theory of the Consumption Function, with and without Liquidity Constraints," Journal of Economic Perspectives, American Economic Association, vol. 15(3), pages 23-45, Summer.
    42. Flemming, J. S., 1978. "Aspects of optimal unemployment insurance : Search, leisure, savings and capital market imperfections," Journal of Public Economics, Elsevier, vol. 10(3), pages 403-425, December.
    43. Schechtman, Jack, 1976. "An income fluctuation problem," Journal of Economic Theory, Elsevier, vol. 12(2), pages 218-241, April.
    44. Pyle, David H & Turnovsky, Stephen J, 1970. "Safety-First and Expected Utility Maximization in Mean-Standard Deviation Portfolio Analysis," The Review of Economics and Statistics, MIT Press, vol. 52(1), pages 75-81, February.
    45. Sheshinski, Eytan, 1989. "A simple model of optimum life-cycle consumption with earnings uncertainty," Journal of Economic Theory, Elsevier, vol. 49(1), pages 169-178, October.
    46. Schechtman, Jack & Escudero, Vera L. S., 1977. "Some results on "an income fluctuation problem"," Journal of Economic Theory, Elsevier, vol. 16(2), pages 151-166, December.
    47. Deaton, Angus, 1992. "Understanding Consumption," OUP Catalogue, Oxford University Press, number 9780198288244.
    48. van Kooten, G Cornelis & Young, Douglas L & Krautkraemer, Jeffrey A, 1997. "A Safety-First Approach to Dynamic Cropping Decisions," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 24(1), pages 47-63.
    49. Chatterjee, Satyajit & Ravikumar, B., 1999. "Minimum Consumption Requirements: Theoretical And Quantitative Implications For Growth And Distribution," Macroeconomic Dynamics, Cambridge University Press, vol. 3(4), pages 482-505, December.
    50. Karen E. Dynan & Jonathan Skinner & Stephen P. Zeldes, 2004. "Do the Rich Save More?," Journal of Political Economy, University of Chicago Press, vol. 112(2), pages 397-444, April.
    51. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
    52. Behrman, Jere R. & Deolalikar, Anil B., 1988. "Health and nutrition," Handbook of Development Economics, in: Hollis Chenery & T.N. Srinivasan (ed.), Handbook of Development Economics, edition 1, volume 1, chapter 14, pages 631-711, Elsevier.
    53. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969.
    Full references (including those not matched with items on IDEAS)

    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. Sattinger, Michael, 2013. "Safety first consumption," Journal of Economic Theory, Elsevier, vol. 148(1), pages 306-321.
    2. Wang, Chong & Wang, Neng & Yang, Jinqiang, 2016. "Optimal consumption and savings with stochastic income and recursive utility," Journal of Economic Theory, Elsevier, vol. 165(C), pages 292-331.
    3. Wang, Neng, 2006. "Generalizing the permanent-income hypothesis: Revisiting Friedman's conjecture on consumption," Journal of Monetary Economics, Elsevier, vol. 53(4), pages 737-752, May.
    4. Wang, Neng, 2007. "An equilibrium model of wealth distribution," Journal of Monetary Economics, Elsevier, vol. 54(7), pages 1882-1904, October.
    5. Wang, Neng, 2004. "Precautionary saving and partially observed income," Journal of Monetary Economics, Elsevier, vol. 51(8), pages 1645-1681, November.
    6. Emilio Fernandez-Corugedo, 2002. "Soft liquidity constraints and precautionary saving," Bank of England working papers 158, Bank of England.
    7. Suen, Richard M. H., 2011. "Concave consumption function and precautionary wealth accumulation," MPRA Paper 34774, University Library of Munich, Germany.
    8. Bar Light, 2018. "Precautionary Saving in a Markovian Earnings Environment," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 29, pages 138-147, July.
    9. repec:ptu:bdpart:r201610 is not listed on IDEAS
    10. Markus K. Brunnermeier & Thomas M. Eisenbach & Yuliy Sannikov, 2012. "Macroeconomics with Financial Frictions: A Survey," Levine's Working Paper Archive 786969000000000384, David K. Levine.
    11. Fulford, Scott L., 2013. "The effects of financial development in the short and long run: Theory and evidence from India," Journal of Development Economics, Elsevier, vol. 104(C), pages 56-72.
    12. Valério Ercolani, 2016. "The precautionary saving: theories, measurements and policies," Economic Bulletin and Financial Stability Report Articles and Banco de Portugal Economic Studies, Banco de Portugal, Economics and Research Department.
    13. Orazio P. Attanasio, 1998. "Consumption Demand," NBER Working Papers 6466, National Bureau of Economic Research, Inc.
    14. Letendre, Marc-Andre & Smith, Gregor W., 2001. "Precautionary saving and portfolio allocation: DP by GMM," Journal of Monetary Economics, Elsevier, vol. 48(1), pages 197-215, August.
    15. Emilio Fernandez-Corugedo, 2004. "Consumption Theory," Handbooks, Centre for Central Banking Studies, Bank of England, number 23, April.
    16. Adrien Auclert, 2019. "Monetary Policy and the Redistribution Channel," American Economic Review, American Economic Association, vol. 109(6), pages 2333-2367, June.
    17. Clemens, Christiane & Heinemann, Maik, 2015. "Endogenous growth and wealth inequality under incomplete markets and idiosyncratic risk," Journal of Macroeconomics, Elsevier, vol. 45(C), pages 300-317.
    18. Jalan, Jyotsna & Ravallion, Martin, 2001. "Behavioral responses to risk in rural China," Journal of Development Economics, Elsevier, vol. 66(1), pages 23-49, October.
    19. Turnovsky, Stephen J. & Smith, William T., 2006. "Equilibrium consumption and precautionary savings in a stochastically growing economy," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 243-278, February.
    20. repec:hal:wpspec:info:hdl:2441/5l6uh8ogmqildh09h6m8hj429 is not listed on IDEAS
    21. repec:spo:wpmain:info:hdl:2441/5l6uh8ogmqildh09h6m8hj429 is not listed on IDEAS
    22. repec:hal:spmain:info:hdl:2441/5l6uh8ogmqildh09h6m8hj429 is not listed on IDEAS
    23. Fulford, Scott L., 2015. "The surprisingly low importance of income uncertainty for precaution," European Economic Review, Elsevier, vol. 79(C), pages 151-171.
    24. Lehrer, Ehud & Light, Bar, 2018. "The effect of interest rates on consumption in an income fluctuation problem," Journal of Economic Dynamics and Control, Elsevier, vol. 94(C), pages 63-71.

    More about this item

    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:nya:albaec:10-02. 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: Byoung Park (email available below). General contact details of provider: .

    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.