Use the data provided for Gotbucks Bank Inc. to answer this question. Notes to the balance sheet: Currently, the fed funds rate is 8.5 percent. Variable-rate loans are priced at 4 percent over LIBOR (currently at 11 percent). Fixed-rate loans are selling at par and have five-year maturities with 12 percent interest paid annually. Core deposits are all fixed rate for two years at 8 percent paid annually. Euro CDs currently yield 9 percent. (LG 23-3) Gotbucks Bank Inc.(dollars in milllions) Assets   Liabilities Cash $30   Core Deposits $20 Federal Funds 20   Federal Funds 50 Loans (floating) 105   Euro Cds 130 Loans (Fixed) 65   Equity 20 Total Assets $220   Total Liabilities and Equity $220           a. What is the duration of Gotbucks Bank’s (GBI) fixed-rate loan portfolio if the loans are priced at par? b. If the average duration of GBI’s floating-rate loans (including fed fund assets) is 0.36 year, what is the duration of the bank’s assets? (Note that the duration of cash is zero.) c. What is the duration of GBI’s core deposits if they are priced at par?

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

Notes to the balance sheet: Currently, the fed funds rate is 8.5 percent. Variable-rate loans are priced at 4 percent over LIBOR (currently at 11 percent). Fixed-rate loans are selling at par and have five-year maturities with 12 percent interest paid annually. Core deposits are all fixed rate for two years at 8 percent paid annually. Euro CDs currently yield 9 percent. (LG 23-3)

Gotbucks Bank Inc.(dollars in milllions)
Assets   Liabilities
Cash $30   Core Deposits $20
Federal Funds 20   Federal Funds 50
Loans (floating) 105   Euro Cds 130
Loans (Fixed) 65   Equity 20
Total Assets $220   Total Liabilities and Equity $220
         

a. What is the duration of Gotbucks Bank’s (GBI) fixed-rate loan portfolio if the loans are priced at par?

b. If the average duration of GBI’s floating-rate loans (including fed fund assets) is 0.36 year, what is the duration of the bank’s assets? (Note that the duration of cash is zero.)

c. What is the duration of GBI’s core deposits if they are priced at par?

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