A Tale of Two Debt Crises: A Stochastic Optimal Control Analysis
Banks should evaluate whether a borrower is likely to default. I apply 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 we show that it is an early warning signal of a crisis.
|Date of creation:||2008|
|Contact details of provider:|| Postal: Poschingerstrasse 5, 81679 Munich|
Phone: +49 (89) 9224-0
Fax: +49 (89) 985369
Web page: http://www.cesifo-group.de
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Jerome L. Stein, 2006.
"United States Current Account Deficits: A Stochastic Optimal Control Analysis,"
CESifo Working Paper Series
1805, CESifo Group Munich.
- Stein, Jerome L., 2007. "United States current account deficits: A stochastic optimal control analysis," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1321-1350, May.
- Jerome L. Stein, 2005. "Optimal Debt And Endogenous Growth In Models Of International Finance," Australian Economic Papers, Wiley Blackwell, vol. 44(4), pages 389-413, December.
- Blanchet-Scalliet, Christophette & Diop, Awa & Gibson, Rajna & Talay, Denis & Tanre, Etienne, 2007. "Technical analysis compared to mathematical models based methods under parameters mis-specification," Journal of Banking & Finance, Elsevier, vol. 31(5), pages 1351-1373, May.
- Stein Jerome & Wendell Fleming, "undated".
"Stochastic Optimal Control, International Finance and Debt,"
- Fleming, Wendell H. & Stein, Jerome L., 2004. "Stochastic optimal control, international finance and debt," Journal of Banking & Finance, Elsevier, vol. 28(5), pages 979-996, May.
- Wendell Fleming & Jerome L. Stein, 2002. "Stochastic Optimal Control, International Finance and Debt," CESifo Working Paper Series 744, CESifo Group Munich.
- Massimo Guidolin & Elizabeth A. La Jeunesse, 2007. "The decline in the U.S. personal saving rate: is it real and is it a puzzle?," Review, Federal Reserve Bank of St. Louis, issue Nov, pages 491-514.
- Stein, Jerome L., 2006. "Stochastic Optimal Control, International Finance, and Debt Crises," OUP Catalogue, Oxford University Press, number 9780199280575, December.
When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_2220. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Klaus Wohlrabe)
If references are entirely missing, you can add them using this form.