Use the data provided for Gotbucks Bank, Inc., to answer this question. Gotbucks Bank, Inc. (in $ millions) Assets Liabilities and Equity Cash Federal funds Loans (floating) Loans (fixed) Total assets $ 28 65 145 42 $ 45 Core deposits 35 Federal funds 120 Euro CDs 80 Equity $ 280 Total liabilities and equity $280 Notes to the balance sheet: Currently, the fed funds rate is 10 percent. Variable-rate loans are priced at 3 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. Assume that fixed rate loans are non-amortizing. Core deposits are all fixed rate for two years at 8 percent paid annually. Euro CDs currently yield 9 percent. a. What is the duration of Gotbucks Bank's (GBI) fixed-rate loan portfolio if the loans are priced at par? (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161)) Duration years b. If the average duration of GBI's floating-rate loans (including fed fund assets) is .51 year, what is the duration of the bank's assets? (Note that the duration of cash is zero.) (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161)) Duration (assets) years c. What is the duration of GBl's core deposits if they are priced at par? (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161)) years