Arbeitspapier

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

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.

Sprache
Englisch

Erschienen in
Series: Economics Discussion Papers ; No. 2009-44

Klassifikation
Wirtschaft
Optimization Techniques; Programming Models; Dynamic Analysis
Criteria for Decision-Making under Risk and Uncertainty
Micro-Based Behavioral Economics: Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making‡
Thema
Optimization
banking
stochastic optimal control
agriculture debt crisis
subprime mortgage crisis

Ereignis
Geistige Schöpfung
(wer)
Stein, Jerome L.
Ereignis
Veröffentlichung
(wer)
Kiel Institute for the World Economy (IfW)
(wo)
Kiel
(wann)
2009

Handle
Letzte Aktualisierung
10.03.2025, 11:41 MEZ

Datenpartner

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Stein, Jerome L.
  • Kiel Institute for the World Economy (IfW)

Entstanden

  • 2009

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