You deposit €5 000 at 7% 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 €10 000?
Time value of money worksheet with answers
You deposit €4 000 in a savings account that pays 3% interest per year, compounded annually. How much is in the account after 3 years? Find the future value FV.
An annuity pays €1 500 at the end of each year for 14 years. The interest rate is 3% per year. Find the present value PV of the annuity.
You need €15 000 in 8 years. An account pays 5% per year, compounded quarterly. How much must you deposit today? Find the present value PV.
You borrow €15 000 at 4.2% per year, compounded monthly, and repay €300 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 borrow €15 000 at 7.2% per year, compounded monthly, and repay €475 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.
Answer key
- 1. n = 11 years
- 2. FV = 4371 €
- 3. PV = 16944 €
- 4. PV = 10080 €
- 5. N = 56 payments
- 6. N = 36 payments
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