A bank has the following balance sheet:

Suppose interest rates fall such that the average yield on rate-sensitive assets decreases by 15 basis points and the average yield on rate-sensitive liabilities decreases by 5 basis points.

a. Calculate the bank’s CGAP and gap ratio (as defined by regulators).

b. Assuming the bank does not change the composition of its balance sheet, calculate the resulting change in the bank’s interest income, interest expense, and net interest income.

c. The bank’s CGAP is negative and interest rates decreased, yet net interest income decreased. Explain how the CGAP and spread effects influenced this decrease in net interest income.

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Assets Rate sensitive Fixed rate Nonearning Total Avg. Rate $ 550,000 7.75% 755,000 265,000 8.75 1,570,000 Liabilities/Equity Rate sensitive Fixed rate $ 575,000 605,000 Avg. Rate 6.25% 7.50 Nonpaying Total 390,000 1,570,000