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Stochastics Seminar - Tien Khai Nguyen

A Stochastic Model of Optimal Debt Management and Bankruptcy

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We consider a problem of optimal debt management which is modeled as a non-cooperative game between a borrower and a pool of risk-neutral lenders. Since the debtor may go bankrupt, lenders charge a higher interest rate to offset the possible loss of part of their investment. In this talk, I will present results on existence and properties of optimal strategies, both in a deterministic and in a stochastic framework.