An investment of €5 000 grows to €6 340 in 3 years with annual compounding. Find the annual interest rate i in percent.
Time value of money worksheet with answers
You deposit €7 500 in a savings account that pays 3.5% interest per year, compounded annually. How much is in the account after 8 years? Find the future value FV.
You invest €20 000 at a nominal rate of 4.8% per year, compounded quarterly. Find the value FV of the investment after 8 years.
You need €20 000 in 9 years. An account pays 3.6% per year, compounded monthly. How much must you deposit today? Find the present value PV.
You save €50 at the end of every month for 7 years. The account pays 3.6% per year, compounded monthly. How much have you saved at the end? Find FV.
A loan of €15 000 is repaid with equal monthly payments over 4 years. The interest rate is 6% per year, compounded monthly. Find the monthly payment A.
Answer key
- 1. i = 8.236 %
- 2. FV = 9876 €
- 3. FV = 29296 €
- 4. PV = 14472 €
- 5. FV = 4769 €
- 6. A = 352.3 €
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