Question
Consumer loans $150 million Deposits $450 million Commercial Loans $350 million Equity $50 million Total Assets $500 million Total Liabilities & Equity $500 million The
Consumer loans | $150 million | Deposits | $450 million |
Commercial Loans | $350 million | Equity | $50 million |
Total Assets | $500 million | Total Liabilities & Equity | $500 million |
The average duration of the loans is 8 years. The average duration of the deposits is 3 years.
Question 1: What is the change in the value of the FIs equity for a 1 percent increase in interest rates from the current rates of 10 percent (i.e., R = +0.01, and 1+R =1.10)?
A. | $24,090,909 | |
B. | $22,727,273 | |
C. | $24,090,909 | |
D. | $22,727,273 |
Q2: Based on the estimate of gain or loss in #1, what is the number of T-bond futures contracts necessary to hedge the balance sheet if the duration of the deliverable bonds is 9 years and the current price of the futures contract is $98 per $100 face value? The size of each T-bond futures contract is $100,000. Do you long or short such futures contract?
A. | Short 3,005 futures contract | |
B. | Long 3,005 futures contract | |
C. | Long 2,896 futures contract | |
D. | Short 2,896 futures contract |
Q3: Based on the estimate of gain or loss in #1, what is the number of T-bond futures contracts necessary to hedge the balance sheet if the duration of the deliverable bonds is 9 years and the current price of the futures contract is $98 per $100 face value? The size of each T-bond futures contract is $100,000, and the basis risk shows that br=[Rf/(1+Rf) ]/[R/(1+R)] = 1.2? Do you long or short such futures contract?
A. | Long 2,413 futures contract | |
B. | Short 2,504 futures contract | |
C. | Short 2,413 futures contract | |
D. | Long 2,504 futures contract |
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