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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. Andrey Launov & Klaus Wälde, 2013. "Estimating Incentive And Welfare Effects Of Nonstationary Unemployment Benefits," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54, pages 1159-1198, November.
  2. Rasmus Lentz & Torben Tranaes, 2001. "Job Search and Savings: Wealth Effects and Duration Dependence," CESifo Working Paper Series 461, CESifo Group Munich.
  3. Christian BAYER & Klaus WALDE, 2010. "Matching and Saving in Continuous Time: Proofs," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2010014, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  4. Albert Marcet & Francesc Obiols-Homs & Philippe Weil, 2003. "Incomplete Markets, Labor Supply and Capital Accumulation," Working Papers 173, Barcelona Graduate School of Economics.
  5. 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.
  6. 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.
  7. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Econometrica, Econometric Society, vol. 70(6), pages 2295-2350, November.
  8. 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.
  9. Robert Shimer & Ivan Werning, 2006. "Reservation Wages and Unemployment Insurance," NBER Working Papers 12618, National Bureau of Economic Research, Inc.
  10. Daron Acemoglu & Robert Shimer, 1999. "Efficient Unemployment Insurance," Journal of Political Economy, University of Chicago Press, vol. 107(5), pages 893-928, October.
  11. Robert Shimer, 2005. "The Cyclical Behavior of Equilibrium Unemployment and Vacancies," American Economic Review, American Economic Association, vol. 95(1), pages 25-49, March.
  12. 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.
  13. 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.
  14. 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.
  15. 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.
  16. Mortensen, Dale T & Pissarides, Christopher A, 1994. "Job Creation and Job Destruction in the Theory of Unemployment," Review of Economic Studies, Wiley Blackwell, vol. 61(3), pages 397-415, July.
  17. 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.
  18. 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.
  19. 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.
  20. John Hassler & José Vicente Rodríguez Mora, 2003. "A Positive Theory of Geographic Mobility and Social Insurance," Working Papers 97, Barcelona Graduate School of Economics.
  21. 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.
  22. 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.
  23. Guo, Xin & Miao, Jianjun & Morellec, Erwan, 2005. "Irreversible investment with regime shifts," Journal of Economic Theory, Elsevier, vol. 122(1), pages 37-59, May.
  24. Walde, Klaus, 1999. "Optimal Saving under Poisson Uncertainty," Journal of Economic Theory, Elsevier, vol. 87(1), pages 194-217, July.
  25. S. Rao Aiyagari, 1993. "Uninsured idiosyncratic risk and aggregate saving," Working Papers 502, Federal Reserve Bank of Minneapolis.
  26. repec:inr:wpaper:155908 is not listed on IDEAS
  27. 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.
  28. Toche, Patrick, 2005. "A tractable model of precautionary saving in continuous time," Economics Letters, Elsevier, vol. 87(2), pages 267-272, May.
  29. 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.
  30. Mark Bils & Yongsung Chang & Sun-Bin Kim, 2008. "Heterogeneity and Cyclical Unemployment," RCER Working Papers 543, University of Rochester - Center for Economic Research (RCER).
  31. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-32, March.
  32. van den Berg, Gerard J, 1990. "Nonstationarity in Job Search Theory," Review of Economic Studies, Wiley Blackwell, vol. 57(2), pages 255-77, April.
  33. Yongsung Chang & Sun-Bin Kim & Mark Bils, 2007. "Comparative Advantage in Cyclical Unemployment," 2007 Meeting Papers 508, Society for Economic Dynamics.
  34. Giuseppe Moscarini, 2005. "Job Matching and the Wage Distribution," Econometrica, Econometric Society, vol. 73(2), pages 481-516, 03.
  35. Ait-Sahalia, Yacine, 2004. "Disentangling diffusion from jumps," Journal of Financial Economics, Elsevier, vol. 74(3), pages 487-528, December.
  36. Lucas, Robert Jr. & Prescott, Edward C., 1974. "Equilibrium search and unemployment," Journal of Economic Theory, Elsevier, vol. 7(2), pages 188-209, February.
  37. 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.
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