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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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