
Explanation:
The investor will be indifferent between the two term deposits if their effective annual rates (EAR) are identical. For Term Deposit 1, the EAR is calculated as follows: For Term Deposit 2, the stated annual rate with continuous compounding must equate to this EAR. Therefore: Solving for : Option B is correct because it accurately reflects the required stated annual rate for Term Deposit 2. Option A is incorrect as it uses the natural logarithm of the stated annual rate instead of the EAR. Option C is incorrect as it represents the EAR of Term Deposit 1, not the stated annual rate for Term Deposit 2.
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An investor is evaluating two term deposits with the following attributes: Term Deposit 1: Quarterly compounding, Stated annual rate of 4%. Term Deposit 2: Continuous compounding, Stated annual rate to be determined. To ensure the investor is indifferent between the two term deposits, the stated annual rate for Term Deposit 2 should be closest to:
A
3.92%.
B
3.98%.
C
4.06%.
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