A foundation wants to pay a prize of €2 000 at the end of every year, forever. The fund earns 4% interest per year. How much must be invested today? Find PV.
Time value of money worksheet with answers
You deposit €2 000 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 €5 000?
You need €50 000 in 10 years. An account pays 3.6% per year, compounded monthly. How much must you deposit today? Find the present value PV.
You invest €2 000 at 5% per year with continuous compounding. Find the value FV after 18 years.
You save €200 at the end of every month for 16 years. The account pays 3.6% per year, compounded monthly. How much have you saved at the end? Find FV.
You save €300 at the end of every month for 26 years. The account pays 4.8% per year, compounded monthly. How much have you saved at the end? Find FV.
Answer key
- 1. PV = 50000 €
- 2. n = 47 years
- 3. PV = 34903 €
- 4. FV = 4919 €
- 5. FV = 51825 €
- 6. FV = 185603 €
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