You are analyzing how interest rates affect the equity value of a bank using a duration analysis. After examining the balance sheet of the bank, you noticed that the value of its total assets and liabilities are $400M and $360M, respectively. You also determined that the duration gap of the bank is equal to 4.0 years. Using a duration analysis, you would like to predict the response of the bank’s equity value (in percentage terms) to a 0.1 percent increase in the market interest rate. You decided to assume that a one percentage point change in the rate is approximately equal to a one percent change in the rate. Following this approach, determine the percentage response of the bank’s equity to this change in the market interest rate.
You are analyzing how interest rates affect the equity value of a bank using a duration analysis. After examining the balance sheet of the bank, you noticed that the value of its total assets and liabilities are $400M and $360M, respectively. You also determined that the duration gap of the bank is equal to 4.0 years. Using a duration analysis, you would like to predict the response of the bank’s equity value (in percentage terms) to a 0.1 percent increase in the market interest rate. You decided to assume that a one percentage point change in the rate is approximately equal to a one percent change in the rate.
Following this approach, determine the percentage response of the bank’s equity to this change in the market interest rate.
Group of answer choices
-0.4%
-4.0%
0.4%
-3.6%
-0.1%
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