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Consider the following repricing buckets:Repricing Bucket  Assets Liabilities1 day $250,000 $300,0001 day to 3 months $150,000 $100,0003 to 6 months $300,000 $250,0006 to 12 months $500,000 $260,0001 to 5 years $150,000 $260,000Over 5 years $50,000 $200,000What is the change in the bank’s future net interest income if the average rate change for assets and liabilities that can be repriced within 6 months is an increase of 1%?Round your final answer to 2 decimal places.E.g. if the final  answer  is -$3,590 , type -3,590 in the answer box. If the final answer is $3,590 , type 3,590 in the  answer box (i.e do not type the dollar sign) .

Question

Consider the following repricing buckets:Repricing Bucket  Assets Liabilities1 day 250,000250,000 300,0001 day to 3 months 150,000150,000 100,0003 to 6 months 300,000300,000 250,0006 to 12 months 500,000500,000 260,0001 to 5 years 150,000150,000 260,000Over 5 years 50,00050,000 200,000What is the change in the bank’s future net interest income if the average rate change for assets and liabilities that can be repriced within 6 months is an increase of 1%?Round your final answer to 2 decimal places.E.g. if the final  answer  is -3,590,type3,590intheanswerbox.Ifthefinalansweris3,590 , type -3,590 in the answer box. If the final answer is 3,590 , type 3,590 in the  answer box (i.e do not type the dollar sign) .

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Solution

To calculate the change in the bank's future net interest income, we need to first identify the assets and liabilities that can be repriced within 6 months.

From the table, we can see that the assets and liabilities that can be repriced within 6 months fall into the first three repricing buckets:

1 day:

  • Assets: $250,000
  • Liabilities: $300,000

1 day to 3 months:

  • Assets: $150,000
  • Liabilities: $100,000

3 to 6 months:

  • Assets: $300,000
  • Liabilities: $250,000

Next, we calculate the net amount of assets and liabilities in each bucket by subtracting the liabilities from the assets:

1 day: 250,000250,000 - 300,000 = -50,0001dayto3months:50,000 1 day to 3 months: 150,000 - 100,000=100,000 = 50,000 3 to 6 months: 300,000300,000 - 250,000 = $50,000

Then, we sum up these net amounts to get the total net amount that can be repriced within 6 months:

-50,000+50,000 + 50,000 + 50,000=50,000 = 50,000

Finally, we calculate the change in the bank's future net interest income due to a 1% increase in the average rate. This is done by multiplying the total net amount that can be repriced within 6 months by the rate change:

50,000150,000 * 1% = 500

So, the change in the bank's future net interest income if the average rate change for assets and liabilities that can be repriced within 6 months is an increase of 1% is $500.

This problem has been solved

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