You deposit €5 000 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 €15 000?
Time value of money worksheet with answers
You deposit €500 in a savings account that pays 3% interest per year, compounded annually. How much is in the account after 10 years? Find the future value FV.
You invest €12 000 at a nominal rate of 3% per year, compounded quarterly. Find the value FV of the investment after 9 years.
An annuity pays €5 000 at the end of each year for 7 years. The interest rate is 4% per year. Find the present value PV of the annuity.
You deposit €3 000 at the start of every year for 22 years, the first deposit today. The account pays 8% per year. How much is in the account at the end of year 22? Find FV.
You save €500 at the end of every month for 19 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.
Answer key
- 1. n = 56 years
- 2. FV = 672 €
- 3. FV = 15704 €
- 4. PV = 30010 €
- 5. FV = 179680 €
- 6. FV = 174000 €
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