The IMF Working Papers series is designed to make IMF staff research available to a wide audience. Almost 300 Working Papers are released each year, covering a wide range of theoretical and analytical topics, including balance of payments, monetary and fiscal issues, global liquidity, and national and international economic developments.
We develop a formula for the market value of debt when the borrower’s repayment capacity varies stochastically, and shortfalls are rolled over. The value of a marginal dollar of nominal claim is an S-shaped function of the ratio of the repayment capacity to the amount of nominal debt. Shifts of this curve are examined in response to changes in the underlying parameters. The calculations bring out some conflicts of interest among lenders of differing degrees of seniority. Most surprisingly, junior creditors gain when the loan is rescheduled on terms more favorable to the debtor.