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Matching and Saving in Continuous Time: Theory

  • Christian Bayer

    ()

    (Institute of Mathematics, Technische Universität Berlin, Germany)

  • Klaus Wälde

    (Chair in Macroeconomics, Johannes Gutenberg-Universität Mainz, Germany)

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 il- lustrates 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 em- ployment status. These equations also characterize the aggregate distrib- ution 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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File URL: http://www.macro.economics.uni-mainz.de/RePEc/pdf/Discussion_Paper_1004.pdf
File Function: First version, 2010
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Paper provided by Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz in its series Working Papers with number 1004.

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Length: 28 pages
Date of creation: 13 Jan 2010
Date of revision: 13 Jan 2010
Handle: RePEc:jgu:wpaper:1004
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  1. 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.
  2. Mark Bils & Yongsung Chang & Sun-Bin Kim, 2009. "Heterogeneity and Cyclical Unemployment," NBER Working Papers 15166, National Bureau of Economic Research, Inc.
  3. Albert Marcet & Francesc Obiols-Homs & Philippe Weil, 2007. "Incomplete Markets, Labor Supply and Capital Accumulation," Sciences Po publications info:hdl:2441/8623, Sciences Po.
  4. Robert Shimer & Ivan Werning, 2006. "Reservation Wages and Unemployment Insurance," NBER Working Papers 12618, National Bureau of Economic Research, Inc.
  5. Hassler, John & Rodríguez Mora, José V., 2008. "Unemployment insurance design: Inducing moving and retraining," European Economic Review, Elsevier, vol. 52(5), pages 757-791, July.
  6. 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).
  7. Per Krusell & Toshihiko Mukoyama & Ayseg ul Sahin, 2007. "Labor-Market Matching with Precautionary Savings and Aggregate Fluctuations," Levine's Bibliography 122247000000001783, UCLA Department of Economics.
  8. Daron Acemoglu & Robert Shimer, 1998. "Efficient Unemployment Insurance," NBER Working Papers 6686, National Bureau of Economic Research, Inc.
  9. 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.
  10. 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.
  11. Rasmus Lentz & Torben Tranæs, 2002. "Job Search and Savings: Wealth Effects and Duration Dependence," CAM Working Papers 2004-11, University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics, revised Nov 2003.
  12. Hassler, John & Mora, José V Rodríguez & Storesletten, Kjetil & Zilibotti, Fabrizio, 2001. "A Positive Theory of Geographic Mobility and Social Insurance," CEPR Discussion Papers 2964, C.E.P.R. Discussion Papers.
  13. 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).
  14. 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.
  15. Andrey LAUNOV & Klaus WALDE, 2010. "Estimating Incentive and Welfare Effects of Non-Stationary Unemployment Benefits," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2010020, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  16. Bertola, Giuseppe & Guiso, Luigi & Pistaferri, Luigi, 2002. "Uncertainty and Consumer Durables Adjustment," CEPR Discussion Papers 3332, C.E.P.R. Discussion Papers.
  17. 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.
  18. 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.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. Lucas, Robert Jr. & Prescott, Edward C., 1974. "Equilibrium search and unemployment," Journal of Economic Theory, Elsevier, vol. 7(2), pages 188-209, February.
  25. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-32, March.
  26. Giuseppe Moscarini, 2005. "Job Matching and the Wage Distribution," Econometrica, Econometric Society, vol. 73(2), pages 481-516, 03.
  27. 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.
  28. S. Rao Aiyagari, 1993. "Uninsured idiosyncratic risk and aggregate saving," Working Papers 502, Federal Reserve Bank of Minneapolis.
  29. 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.
  30. Walde, Klaus, 1999. "Optimal Saving under Poisson Uncertainty," Journal of Economic Theory, Elsevier, vol. 87(1), pages 194-217, July.
  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. 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.
  33. 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.
  34. Ait-Sahalia, Yacine, 2004. "Disentangling diffusion from jumps," Journal of Financial Economics, Elsevier, vol. 74(3), pages 487-528, December.
  35. van den Berg, Gerard J, 1990. "Nonstationarity in Job Search Theory," Review of Economic Studies, Wiley Blackwell, vol. 57(2), pages 255-77, April.
  36. Toche, Patrick, 2005. "A tractable model of precautionary saving in continuous time," Economics Letters, Elsevier, vol. 87(2), pages 267-272, May.
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