You deposit €4 000 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 €8 000?
Time value of money worksheet with answers
A foundation wants to pay a prize of €12 000 at the end of every year, forever. The fund earns 4% interest per year. How much must be invested today? Find PV.
You need €25 000 in 9 years. An account pays 4% per year, compounded monthly. How much must you deposit today? Find the present value PV.
You invest €5 000 at 4% per year with continuous compounding. Find the value FV after 8 years.
You save €200 at the end of every month for 10 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.
You save €150 at the end of every month for 26 years. The account pays 2.4% per year, compounded monthly. How much have you saved at the end? Find FV.
Answer key
- 1. n = 12 years
- 2. PV = 300000 €
- 3. PV = 17452 €
- 4. FV = 6886 €
- 5. FV = 29763 €
- 6. FV = 64891 €
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