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Matching and Saving in Continuous Time: Theory

  • 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.

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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.

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Length: 26
Date of creation: 19 Apr 2010
Date of revision:
Handle: RePEc:ctl:louvir:2010013
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  1. Jeremy Lise, 2006. "On-the-Job Search and Precautionary Savings: Theory and Empirics of Earnings and Wealth Inequality," 2006 Meeting Papers 137, Society for Economic Dynamics.
  2. Mark Bils & Yongsung Chang & Sun-Bin Kim, 2008. "Heterogeneity and Cyclical Unemployment," Discussion Paper Series 0805, Institute of Economic Research, Korea University.
  3. Walde, Klaus, 1999. "Optimal Saving under Poisson Uncertainty," Journal of Economic Theory, Elsevier, vol. 87(1), pages 194-217, July.
  4. John Hassler & José Vicente Rodríguez Mora & Kjetil Storesletten & Fabrizio Zilibotti, 2003. "A Positive Theory of Geographic Mobility and Social Insurance," Working Papers 86, Barcelona Graduate School of Economics.
  5. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00357751, HAL.
  6. Daron Acemoglu & Robert Shimer, 1998. "Efficient Unemployment Insurance," NBER Working Papers 6686, National Bureau of Economic Research, Inc.
  7. Mark Bils & Yongsung Chang & Sun-Bin Kim, 2007. "Comparative Advantage in Cyclical Unemployment," NBER Working Papers 13231, National Bureau of Economic Research, Inc.
  8. 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.
  9. Christian Bayer & Klaus Wälde, 2010. "Matching and Saving in Continuous Time: Proofs," Working Papers 1005, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz, revised 13 Jan 2010.
  10. 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.
  11. repec:inr:wpaper:155908 is not listed on IDEAS
  12. Robert Shimer & Iván Werning, 2007. "Reservation Wages and Unemployment Insurance," The Quarterly Journal of Economics, Oxford University Press, vol. 122(3), pages 1145-1185.
  13. Toche, Patrick, 2005. "A tractable model of precautionary saving in continuous time," Economics Letters, Elsevier, vol. 87(2), pages 267-272, May.
  14. 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.
  15. Krusell, Per & Mukoyama, Toshihiko & Rogerson, Richard & Sahin, Aysegül, 2008. "Aggregate implications of indivisible labor, incomplete markets, and labor market frictions," Journal of Monetary Economics, Elsevier, vol. 55(5), pages 961-979, July.
  16. Guo, Xin & Miao, Jianjun & Morellec, Erwan, 2005. "Irreversible investment with regime shifts," Journal of Economic Theory, Elsevier, vol. 122(1), pages 37-59, May.
  17. Albert Marcet & Francesc Obiols-Homs & Philippe Weil, 2002. "Incomplete markets, labor supply and capital accumulation," Economics Working Papers 659, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 2003.
  18. 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 257-73, May.
  19. Rasmus Lenz & Torben Tranæs, . "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.
  20. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
  21. Andrey Launov & Klaus Wälde, 2010. "Estimating Incentive and Welfare Effects of Non-Stationary Unemployment Benefits," CESifo Working Paper Series 3069, CESifo Group Munich.
  22. Giuseppe Moscarini, 2005. "Job Matching and the Wage Distribution," Econometrica, Econometric Society, vol. 73(2), pages 481-516, 03.
  23. Bertola, Giuseppe & Guiso, Luigi & Pistaferri, Luigi, 2002. "Uncertainty and Consumer Durables Adjustment," CEPR Discussion Papers 3332, C.E.P.R. Discussion Papers.
  24. Dale T. Mortensen & Christopher A. Pissarides, 1994. "Job Creation and Job Destruction in the Theory of Unemployment," Review of Economic Studies, Oxford University Press, vol. 61(3), pages 397-415.
  25. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-32, March.
  26. 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.
  27. Ait-Sahalia, Yacine, 2004. "Disentangling diffusion from jumps," Journal of Financial Economics, Elsevier, vol. 74(3), pages 487-528, December.
  28. 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.
  29. repec:oup:restud:v:77:y:2010:i:1:p:245-272 is not listed on IDEAS
  30. Rasmus Lentz, 2009. "Optimal Unemployment Insurance in an Estimated Job Search Model with Savings," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(1), pages 37-57, January.
  31. Gerard J. van den Berg, 1990. "Nonstationarity in Job Search Theory," Review of Economic Studies, Oxford University Press, vol. 57(2), pages 255-277.
  32. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
  33. Stephen Turnovsky & William Smith, 2004. "Equilibrium Consumption and Precautionary Savings in a Stochastically Growing Economy," Working Papers UWEC-2006-01-P, University of Washington, Department of Economics, revised Oct 2004.
  34. 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.
  35. Lucas, Robert Jr. & Prescott, Edward C., 1974. "Equilibrium search and unemployment," Journal of Economic Theory, Elsevier, vol. 7(2), pages 188-209, February.
  36. 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.
  37. 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.
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