Suppose that a bank has interest yield on interest sensitive assets currently average 11% while interest sensitive liabilities have an average cost of 9%. In contrast fixed asset yield 13% and fixed liability cost 11%. If the bank has total asset of $6100 million and interest sensitive asset and liabilities are $3800 and $3500 respectively. Calculate the net interest income and net interest margin.If the market interest rate on rate-sensitive assets reduces to 9% and the interest rate on rate-sensitive liabilities reduces to 7%, what would be the impact of net interestincome and net interest margin?
Question
Suppose that a bank has interest yield on interest sensitive assets currently average 11% while interest sensitive liabilities have an average cost of 9%. In contrast fixed asset yield 13% and fixed liability cost 11%. If the bank has total asset of 3800 and $3500 respectively. Calculate the net interest income and net interest margin.If the market interest rate on rate-sensitive assets reduces to 9% and the interest rate on rate-sensitive liabilities reduces to 7%, what would be the impact of net interestincome and net interest margin?
Solution
Sure, let's break down the problem step by step.
Step 1: Calculate the Net Interest Income (NII)
Net Interest Income (NII) is the difference between the income generated from interest-sensitive assets and the cost of interest-sensitive liabilities.
Initial Scenario:
- Interest-sensitive assets: $3800 million at 11%
- Interest-sensitive liabilities: $3500 million at 9%
- Fixed assets: 3800 million = $2300 million at 13%
- Fixed liabilities: 3500 million = $2600 million at 11%
Interest Income:
- From interest-sensitive assets: 418 million
- From fixed assets: 299 million
- Total Interest Income = 299 million = $717 million
Interest Expense:
- From interest-sensitive liabilities: 315 million
- From fixed liabilities: 286 million
- Total Interest Expense = 286 million = $601 million
Net Interest Income (NII):
- NII = Total Interest Income - Total Interest Expense
- NII = 601 million = $116 million
Step 2: Calculate the Net Interest Margin (NIM)
Net Interest Margin (NIM) is the ratio of Net Interest Income to Total Assets.
NIM:
- NIM = (Net Interest Income / Total Assets) * 100
- NIM = (6100 million) * 100 ≈ 1.90%
Step 3: Calculate the Impact of Changes in Market Interest Rates
New Scenario:
- New interest rate on interest-sensitive assets: 9%
- New interest rate on interest-sensitive liabilities: 7%
New Interest Income:
- From interest-sensitive assets: 342 million
- From fixed assets: 299 million
- Total New Interest Income = 299 million = $641 million
New Interest Expense:
- From interest-sensitive liabilities: 245 million
- From fixed liabilities: 286 million
- Total New Interest Expense = 286 million = $531 million
New Net Interest Income (NII):
- New NII = Total New Interest Income - Total New Interest Expense
- New NII = 531 million = $110 million
Step 4: Calculate the New Net Interest Margin (NIM)
New NIM:
- New NIM = (New Net Interest Income / Total Assets) * 100
- New NIM = (6100 million) * 100 ≈ 1.80%
Summary of Results:
- Initial Net Interest Income (NII): $116 million
- Initial Net Interest Margin (NIM): 1.90%
- New Net Interest Income (NII): $110 million
- New Net Interest Margin (NIM): 1.80%
The reduction in market interest rates on rate-sensitive assets and liabilities results in a decrease in both the Net Interest Income and the Net Interest Margin.
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