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Use the data provided for Gotbucks Bank, Inc., to answer this question. Gotbucks Bank, Inc. (in $ millions) Assets Liabilities and Equity Cash $ 37

Use the data provided for Gotbucks Bank, Inc., to answer this question.

Gotbucks Bank, Inc. (in $ millions)
Assets Liabilities and Equity
Cash $ 37 Core deposits $ 40
Federal funds 27 Federal funds 50
Loans (floating) 112 Euro CDs 137
Loans (fixed) 72 Equity 21
Total assets $ 248 Total liabilities and equity $ 248

Notes to the balance sheet: Currently, the fed funds rate is 9.2 percent. Variable-rate loans are priced at 5 percent over LIBOR (currently at 12 percent). Fixed-rate loans are selling at par and have five-year maturities with 13 percent interest paid annually. Assume that fixed rate loans are non-amortizing. Core deposits are all fixed rate for two years at 9 percent paid annually. Euro CDs currently yield 10 percent. The fixed rate loans and the core deposits are priced at par. The average duration of GBIs floating-rate loans (including fed fund assets) is 0.43 year.

a.

If the duration of GBIs Euro CDs and fed fund liabilities is .408 years, what is the duration of the banks liabilities? (Do not round intermediate calculations. Round your answer to 4 decimal places. (e.g., 32.1616))

b.

What is GBIs duration gap? (Do not round intermediate calculations. Round your answer to 4 decimal places. (e.g., 32.1616))

c.

What is the expected change in equity value if all yields increase by 300 basis points? (Enter your answer in dollars not in millions. Negative amount should be indicated by a minus sign. Do not round intermediate calculations.)

d.

Given the equity change c. what is the expected new market value of equity after the interest rate change? (Enter your answer in dollars not in millions. Negative amount should be indicated by a minus sign. Do not round intermediate calculations.)

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