Question

If a bank has rate sensitive assets of $50 million and rate sensitive liabilities of $40...

If a bank has rate sensitive assets of $50 million and rate sensitive liabilities of $40 million, than an interest rate increase of 5 percentage points would cause net worth to(GAP Analysis)

A. Increase $500 thousand  

B. Decrease by $500 thousand  

C Increase by $10 million

D. All the previous answers are wrong

Please Explain

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Answer #1

The 5% Increase in interest rate will only affect the rate-sensitive assets and liabilities.

Increase in Interest income from rate-sensitive assets = $40 million x 5% = $2 million

Increase in Interest payment for rate-sensitive liabilities = $50 million x 5% = $2.5 million

Increase in profit or net worth ($ million) = Increase in Interest income - Increase in Interest payment

= 2.5 - 2

= 0.5 million

= 500,000 = 500 thousand

Ans - A. Increase $500 thousand

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