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Creditworthiness and thresholds in a credit market model with multiple equilibria

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Summary.

The paper studies creditworthiness in a model with endogenous credit cost and debt constraints. Such a model can give rise to multiple candidates for steady state equilibria. We use new analytical techniques such as dynamic programming (DP) with flexible grid size to find solutions and to locate thresholds that separate different domains of attraction. More specifically, we (1) compute present value borrowing constraints and thus creditworthiness, (2) locate thresholds where the dynamics separate to different domains of attraction, (3) show jumps in the decision variable, (4) distinguish between optimal and non-optimal steady states, (5) demonstrate how creditworthiness and thresholds change with change of the credit cost function of the debtor and (6) explore the impact of debt ceilings and consumption paths on creditworthiness.

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Authors and Affiliations

  1. Department of Mathematics, University of Bayreuth, 95440, Bayreuth, GERMANY

    Lars Grüne

  2. Center for Empirical Macroeconomics, Bielefeld, GERMANY

    Willi Semmler

  3. New School University, 10003, New York, NY, USA

    Malte Sieveking

Authors
  1. Lars Grüne
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  2. Willi Semmler
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  3. Malte Sieveking
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Corresponding author

Correspondence to Lars Grüne.

Additional information

JEL Classification Numbers:

C61, C63, D91, D92, E51, G12, G32.

An earlier version of this paper has been prepared for the 1998 North American Winter Meeting of the Econometric Society, January 1998, Chicago. We want to thank Jess Benhabib, Buz Brock, Gustav Feichtinger, Franz Wirl, Michael Woodford, Wolf-Jürgen Beyn and Thorsten Pampel for helpful discussions and comments on various versions of the paper. We also want to thank participants in a workshop at the University of Technology, Vienna, the Macroeconomic Workshop at Columbia University, and the SCE conference, at Yale University, June 2001. We are also grateful for comments from a referee of the journal.

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Grüne, L., Semmler, W. & Sieveking, M. Creditworthiness and thresholds in a credit market model with multiple equilibria. Economic Theory 25, 287–315 (2005). https://doi.org/10.1007/s00199-003-0442-8

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  • DOI: https://doi.org/10.1007/s00199-003-0442-8

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