An investment of €1 000 grows to €1 200 in 9 years with annual compounding. Find the annual interest rate i in percent.
Time value of money worksheet with answers
You deposit €1 000 in a savings account that pays 2.5% interest per year, compounded annually. How much is in the account after 4 years? Find the future value FV.
You need €20 000 in 5 years. An account pays 2% per year, compounded quarterly. How much must you deposit today? Find the present value PV.
A credit card charges a nominal interest rate of 24% per year, compounded daily. Find the effective annual rate EAR in percent.
A loan of €250 000 is repaid with equal monthly payments over 20 years. The interest rate is 4.8% per year, compounded monthly. Find the monthly payment A.
You save €150 at the end of every month for 12 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.
Answer key
- 1. i = 2.046 %
- 2. FV = 1104 €
- 3. PV = 18101 €
- 4. EAR = 27.11 %
- 5. A = 1622 €
- 6. FV = 28023 €
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