Question: Q4 (15 points) A borrowing sovereign has its output fluctuating following a uniform distribution U[16, 24). Suppose that the government borrows L = 6 before

Q4 (15 points) A borrowing sovereign has its output fluctuating following a uniform distribution U[16, 24). Suppose that the government borrows L = 6 before the output is known; this loan carries an interest rate r The loan is due after output is realized. Suppose that if the government defaults on the loan, then it faces a cost equivalent to c = 0.5 of its output. The loan is supplied by competitive foreign creditors who has access to funds from world capital markets, at a risk-free interest rate of 12.5% ** Part a. (5 marks) Find the equilibrium L. ** Part b. (5 marks) What is the probability that the government will repay its loan? **Part c (5 marks) Would the borrowing country default if ry=r? Prove it. Q4 (15 points) A borrowing sovereign has its output fluctuating following a uniform distribution U[16, 24). Suppose that the government borrows L = 6 before the output is known; this loan carries an interest rate r The loan is due after output is realized. Suppose that if the government defaults on the loan, then it faces a cost equivalent to c = 0.5 of its output. The loan is supplied by competitive foreign creditors who has access to funds from world capital markets, at a risk-free interest rate of 12.5% ** Part a. (5 marks) Find the equilibrium L. ** Part b. (5 marks) What is the probability that the government will repay its loan? **Part c (5 marks) Would the borrowing country default if ry=r? Prove it
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