Question
SOVEREIGN DEFAULT A borrowing country has a fluctuating level of output Y. Specifically, Y follows a uniform distribution U[16,24]. Suppose the government takes out a
SOVEREIGN DEFAULT
A borrowing country has a fluctuating level of output Y. Specifically, Y follows a uniform distribution U[16,24]. Suppose the government takes out a one-period loan L= 5 that carries an interest rate rL. This loan is supplied by competitive foreign creditors who have access to funds from world capital markets at risk free interest rate r = 0.125. The loan is due after output is realized. Suppose also that the government can only default on a fraction = 0.6 of the loan, and if the government defaults on this fraction , then it faces a cost equivalent to a fraction c = 0.25 of its output.
(a) Find rL> r offered by the competitive foreign investors?
(b) What is the probability that the government will repay its loan?
(c) Would the borrowing country default if rL= r?
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