IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

Matching and Saving in Continuous Time: Theory

Listed author(s):
  • Christian BAYER

    ()

    (Institute of Mathematics, TU Berlin)

  • Klaus WALDE

    ()

    (University of Mainz, CESifo and Université catholique de Louvain)

We analyse optimal saving of risk-averse households when labour income stochastically jumps between two states. The generalized Keynes-Ramsey rule includes a precautionary savings term. A phase diagram analysis illustrates consumption and wealth dynamics within and between states. There is an endogenous lower and upper limit for wealth. We derive the Fokker-Planck equations for the densities of individual wealth and employment status. These equations also characterize the aggregate distribution of wealth and allow us to describe general equilibrium. An optimal consumption path exists and distributions converge to a unique limiting distribution.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://sites.uclouvain.be/econ/DP/IRES/2010013.pdf
Download Restriction: no

Paper provided by Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) in its series Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) with number 2010013.

as
in new window

Length: 26
Date of creation: 19 Apr 2010
Handle: RePEc:ctl:louvir:2010013
Contact details of provider: Postal:
Place Montesquieu 3, 1348 Louvain-la-Neuve (Belgium)

Fax: +32 10473945
Web page: http://www.uclouvain.be/ires
Email:


More information through EDIRC

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  1. Mark Bils & Yongsung Chang & Sun-Bin Kim, 2008. "Comparative Advantage in Cyclical Unemployment," RCER Working Papers 540, University of Rochester - Center for Economic Research (RCER).
  2. Hassler, John & Rodriguez Mora, Jose V., 1999. "Employment turnover and the public allocation of unemployment insurance," Journal of Public Economics, Elsevier, vol. 73(1), pages 55-83, July.
  3. Andrey Launov & Klaus Wälde, 2010. "Estimating Incentive and Welfare Effects of Non-stationary Unemployment Benefits," SOEPpapers on Multidisciplinary Panel Data Research 328, DIW Berlin, The German Socio-Economic Panel (SOEP).
  4. Per Krusell & Toshihiko Mukoyama & Aysegul Sahin, 2009. "Labor-Market Matching with Precautionary Savings and Aggregate Fluctuations," NBER Working Papers 15282, National Bureau of Economic Research, Inc.
  5. Christopher J. Flinn, 2006. "Minimum Wage Effects on Labor Market Outcomes under Search, Matching, and Endogenous Contact Rates," Econometrica, Econometric Society, vol. 74(4), pages 1013-1062, 07.
  6. Postel-Vinay, Fabien & Robin, Jean-Marc, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," CEPR Discussion Papers 3548, C.E.P.R. Discussion Papers.
  7. Xin Guo & Jianjun Miao & Erwan Morellec, 2002. "Irreversible Investment with Regime Shifts," FAME Research Paper Series rp99, International Center for Financial Asset Management and Engineering.
  8. Toche, Patrick, 2005. "A tractable model of precautionary saving in continuous time," Economics Letters, Elsevier, vol. 87(2), pages 267-272, May.
  9. Mark Bils & Yongsung Chang & Sun-Bin Kim, 2009. "Heterogeneity and Cyclical Unemployment," NBER Working Papers 15166, National Bureau of Economic Research, Inc.
  10. Hassler, John & Mora, Jose & Storesletten, Kjetil & Zilibotti, Fabrizio, 2002. "A positive theory of geographical mobility and social insurance," Seminar Papers 705, Stockholm University, Institute for International Economic Studies.
  11. Per Krusell & Toshihiko Mukoyama & Richard Rogerson & Aysegul Sahin, 2008. "Aggregate Implications of Indivisible Labor, Incomplete Markets, and Labor Market Frictions," NBER Working Papers 13871, National Bureau of Economic Research, Inc.
  12. Rasmus Lentz, 2003. "Optimal Unemployment Insurance in an Estimated Job Search Model with Savings," CAM Working Papers 2004-10, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics.
  13. 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.
  14. Albert Marcet & Francesc Obiols-Homs & Philippe Weil, 2003. "Incomplete Markets, Labor Supply and Capital Accumulation," Working Papers 173, Barcelona Graduate School of Economics.
  15. Rasmus Lenz & Torben Tranæs, "undated". "Job Search and Savings: Wealth Effects and Duration Dependence," EPRU Working Paper Series 01-10, Economic Policy Research Unit (EPRU), University of Copenhagen. Department of Economics.
  16. 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.
  17. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
  18. Daron Acemoglu & Robert Shimer, 1998. "Efficient Unemployment Insurance," NBER Working Papers 6686, National Bureau of Economic Research, Inc.
  19. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-132, March.
  20. Lucas, Robert Jr. & Prescott, Edward C., 1974. "Equilibrium search and unemployment," Journal of Economic Theory, Elsevier, vol. 7(2), pages 188-209, February.
  21. Christian Bayer & Klaus Wälde, 2010. "Matching and Saving in Continuous Time: Proofs," CESifo Working Paper Series 3026-A, CESifo Group Munich.
  22. Hassler, John & Rodríguez Mora, José Vicente, 2007. "Unemployment insurance design: inducing moving and retraining," Discussion Paper Series In Economics And Econometrics 0702, Economics Division, School of Social Sciences, University of Southampton.
  23. Huggett, Mark & Ospina, Sandra, 2001. "Aggregate precautionary savings: when is the third derivative irrelevant?," Journal of Monetary Economics, Elsevier, vol. 48(2), pages 373-396, October.
  24. van den Berg, G., 1987. "Nonstationarity in job search theory," Research Memorandum c2b931bf-9cce-4bae-929c-b, Tilburg University, School of Economics and Management.
  25. Walde, Klaus, 1999. "Optimal Saving under Poisson Uncertainty," Journal of Economic Theory, Elsevier, vol. 87(1), pages 194-217, July.
  26. Giuseppe Moscarini, 2005. "Job Matching and the Wage Distribution," Econometrica, Econometric Society, vol. 73(2), pages 481-516, 03.
  27. Pieter A. Gautier & Coen N. Teulings & Aico Van Vuuren, 2010. "On-the-Job Search, Mismatch and Efficiency ," Review of Economic Studies, Oxford University Press, vol. 77(1), pages 245-272.
  28. Dale T. Mortensen & Christopher A. Pissarides, 1993. "Job Creation and Job Destruction in the Theory of Unemployment," CEP Discussion Papers dp0110, Centre for Economic Performance, LSE.
  29. Ait-Sahalia, Yacine, 2004. "Disentangling diffusion from jumps," Journal of Financial Economics, Elsevier, vol. 74(3), pages 487-528, December.
  30. Robert Shimer & Ivan Werning, 2006. "Reservation Wages and Unemployment Insurance," NBER Working Papers 12618, National Bureau of Economic Research, Inc.
  31. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
  32. Giuseppe Bertola & Luigi Guiso & Luigi Pistaferri, 2005. "Uncertainty and Consumer Durables Adjustment," Review of Economic Studies, Oxford University Press, vol. 72(4), pages 973-1007.
  33. Makoto Nakajima, 2006. "Business Cycles in the Equilibrium Model of Labor Search and Self-Insurance," Computing in Economics and Finance 2006 426, Society for Computational Economics.
  34. Merz, Monika, 1995. "Search in the labor market and the real business cycle," Journal of Monetary Economics, Elsevier, vol. 36(2), pages 269-300, November.
  35. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-273, May.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:ctl:louvir:2010013. 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: (Anne DAVISTER-LOGIST)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.