You deposit €5 000 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 10 years? Find the future value FV.
Time value of money worksheet with answers
You deposit €10 000 at 2% interest per year, compounded annually (interest is added at the end of each year). After how many whole years n does the balance first reach at least €30 000?
You need €5 000 in 8 years. An account pays 2% per year, compounded monthly. How much must you deposit today? Find the present value PV.
You need €25 000 in 5 years. An account pays 3% per year, compounded monthly. How much must you deposit today? Find the present value PV.
You borrow €5 000 at 5.4% per year, compounded monthly, and repay €75 at the end of every month. How many months does it take until the loan is repaid (the last payment may be smaller)? Give the number of payments N.
You save €150 at the end of every month for 18 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.
Answer key
- 1. FV = 7765 €
- 2. n = 56 years
- 3. PV = 4261 €
- 4. PV = 21522 €
- 5. N = 80 payments
- 6. FV = 48297 €
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