Answer:
Choose an annually compounded rate of 18%
The effective annual rate (EAR) of a daily compounded rate of 0.050% is 0.05001%.
Explanation:
We need to find the effective annual rate of interest for each nominal interest and compare this for the different alternatives.
The effective annual rate of interest is the annual rate that if compounded once a year would give us the same result as the same result as the interest per period compounded a number of times a year.
Conversion of Nominal to Effective Interest Rate.
1. A daily compounded rate of 0.050%
Use a financial calculator to enter the data
P/YR = 365
Nominal interest = 0.050%
Thus Effective Interest rate = ? 0.05001%
2. A weekly compounded rate of 0.355%
Use a financial calculator to enter the data
P/YR = 52
Nominal interest = 0.355%
Thus Effective Interest rate = ? 0.3556 %
3. A monthly compounded rate of 1.15%
Use a financial calculator to enter the data
P/YR = 12
Nominal interest = 1.15%
Thus Effective Interest rate = ? 1.1561%
4. A quarterly compounded rater of 4.25%
Use a financial calculator to enter the data
P/YR = 4
Nominal interest = 4.25%
Thus Effective Interest rate = ? 4,32%
5. A semiannually compounded rate of 7.5%
Use a financial calculator to enter the data
P/YR = 2
Nominal interest = 7.5%
Thus Effective Interest rate = ? 7.64%
6. an annually compounded rate of 18%
Use a financial calculator to enter the data
P/YR = 1
Nominal interest = 18%
Thus Effective Interest rate = ? 18%
Conclusion :
Choose the option giving the HIGHEST effective annual rate.
Thu, I would rather have an annually compounded rate of 18%.
