
Explanation:
The formula used to convert a rate that is compounded at a certain frequency into a continuously compounded rate is:
Where:
Q.650 Gamze Goc is an independent wealth advisor that focuses on providing investment and savings advice to professionals. She advised one of her clients to invest $10,000 for 5 years into a government’s national saving plan which pays a monthly interest of 8% per year. This rate is fixed regardless of the tenure of the investment. Since the client does not have an alternative option to invest his savings, he asked what interest rates he would earn if the rate was compounded continuously. Identify the most appropriate answer to the client’s inquiry.
A
The continuously compounded interest rate is 9.23%.
B
The continuously compounded interest rate is 8.33%.
C
The continuously compounded interest rate is 8.05%.
D
The continuously compounded interest rate is 7.97%.
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