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to the question I posted earlier 5.Consider the following bank balance sheet and associated average interest rates. The time frame for rate sensitivity is one
to the question I posted earlier 5.Consider the following bank balance sheet and associated average interest rates. The time frame for rate sensitivity is one year. Can someone help me finish it with the two questions that wasn't answered in the previous answered. I have everything except these two answers. Is this consistent with the banks static GAP? and Is this uneven shift in rates more or less likely than a parallel shift?
This is what I have previously....
Calculate the banks GAP, expected net interest income, and net interest margin if interest rates and portfolio composition remain constant during the year. This bank is positioned to profit if interest rates move in which direction?
GAP Analysis
GAP = $3000 - $2600 = $400
Expected Net Interest Income:
[3000 (0.063) + 1500 (0.070)] [2600 (0.030 + 1650 (0.061)]
= (189 + 105) (98.8 + 100.65) = 94.55
Expected NIM (Net Interest Margin) = 94.55/4500 = 0.021
If interest rates increase, then this Bank will likely see its net interest income increases.
According to the GAP Model, $400 more in assets than liability will reprice at higher
rates.
B. Calculate the change in expected net interest income and NIM if the entire yield curve shifts 2 percent higher during the year. Is this consistent with the banks static GAP?
Change in net interest income with 2 percent upward shift in the yield curve change in Rates x GAP is 400 x (0.02) = +8
Net Interest Margin increases to 102.55 (94.55 + 8) / 4500 = 0.022
C. Suppose that, instead of the parallel shift in the yield curve in Part b. interest rates increase unevenly. Specifically, suppose that asset yields rise by 200 basis points while liability rates rise by 275 basis points. Calculate the change in net interest income and NIM. Is this uneven shift in rates more or less likely than a parallel shift?
Change in Interest Income = 200 basis points
= 0.02 (3000) = +60
Change in Interest Expense = 275 points
= 0.0275 (2600) = +71.5
Change in Net Interest Income= 71.5 60 = -11.5
New Net Interest Income = 94.55 11.5 = 83.05
New Net Interest Income = 83.05/4500 = 0.018
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5.Consider the following bank balance sheet and associated average interest rates. The time frame for rate sensitivity is one year.
Assets Amount Rate Liabilities and Equity Amount Rate
Rate Sensitive 3,000 6.30% Rate Sensitive 2,600 2.80%
Fixed Rate 1,500 7.70% Fixed Rate 1,750 5.10% Nonearning 400 Nonpaying Liabilities 550
Total 4,900 Total 4,900
Calculate the banks GAP, expected net interest income, and net interest margin if interest rates and portfolio composition remain constant during the year. This bank is positioned to profit if interest rates move in which direction?
Calculate the change in expected net interest income and NIM if the entire yield curve shifts 2 percent higher during the year. Is this consistent with the banks static GAP?
Suppose that, instead of the parallel shift in the yield curve in Part b. interest rates increase unevenly. Specifically, suppose that asset yields rise by 200 basis points while liability rates rise by 275 basis points. Calculate the change in net interest income and NIM. Is this uneven shift in rates more or less likely than a parallel shift?
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