You deposit €2 000 at 6% 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 €6 000?
Time value of money worksheet with answers
You deposit €2 500 at 4% 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 €5 000?
An annuity pays €500 at the end of each year for 12 years. The interest rate is 6% per year. Find the present value PV of the annuity.
You invest €8 000 at a nominal rate of 3.6% per year, compounded quarterly. Find the value FV of the investment after 3 years.
You deposit €1 000 at the start of every year for 29 years, the first deposit today. The account pays 5% per year. How much is in the account at the end of year 29? Find FV.
You save €150 at the end of every month for 15 years. The account pays 7.2% per year, compounded monthly. How much have you saved at the end? Find FV.
Answer key
- 1. n = 19 years
- 2. n = 18 years
- 3. PV = 4192 €
- 4. FV = 8908 €
- 5. FV = 65439 €
- 6. FV = 48380 €
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