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The Reservation Wage under CARA and Limited Borrowing


  • Bauer, Christian


A continuous-time sequential job search model with savings and CARA preferences is solved analytically without resorting to unlimited borrowing and real-valued consumption. I isolate the effects of limited borrowing and nonnegative consumption as well as risk-aversion on the reservation wage by using a system of ordinary differential equations.

Suggested Citation

  • Bauer, Christian, 2009. "The Reservation Wage under CARA and Limited Borrowing," Discussion Papers in Economics 10291, University of Munich, Department of Economics.
  • Handle: RePEc:lmu:muenec:10291

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    References listed on IDEAS

    1. Ken Sennewald & Klaus Wälde, 2006. "“Itô's Lemma” and the Bellman Equation for Poisson Processes: An Applied View," Journal of Economics, Springer, vol. 89(1), pages 1-36, October.
    2. Ken Sennewald & Klaus Wälde, 2006. ""Itô’s Lemma" and the Bellman Equation for Poisson Processes: An Applied View," CESifo Working Paper Series 1684, CESifo Group Munich.
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    Cited by:

    1. S. Nuray Akin & Brennan Platt, 2012. "Running Out of Time: Limited Unemployment Benefits and Reservation Wages," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(2), pages 149-170, April.

    More about this item


    labor income risk; wealth-dependent reservation wage; borrowing limit;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • J64 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Unemployment: Models, Duration, Incidence, and Job Search

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