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A tale of two debt crises: a stochastic optimal control analysis

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Author Info
Stein, Jerome L.
Abstract

Banks should evaluate whether a borrower is likely to default. The author applies several techniques in the extensive mathematical literature of stochastic optimal control/dynamic programming to derive an optimal debt in an environment where there are risks on both the asset and liabilities sides. The vulnerability of the borrowing firm to shocks from either the return to capital, the interest rate or capital gain, increases in proportion to the difference between the Actual and Optimal debt ratio, called the excess debt. As the debt ratio exceeds the optimum, default becomes ever more likely. This paper is A Tale of Two Crises because the analysis is applied to the agricultural debt crisis of the 1980s and to the sub-prime mortgage crisis of 2007. A measure of excess debt is derived, and the author shows that it is an early warning signal of a crisis. --

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Publisher Info
Paper provided by Kiel Institute for the World Economy in its series Economics Discussion Papers with number 2009-44.

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Date of creation: 2009
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Handle: RePEc:zbw:ifwedp:200944

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Related research
Keywords: Optimization; banking; stochastic optimal control; agriculture debt crisis; subprime mortgage crisis;

Find related papers by JEL classification:
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
D91 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Consumer Choice; Life Cycle Models and Saving
D92 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Firm Choice and Growth, Investment, or Financing

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This page was last updated on 2009-11-27.


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