You deposit €1 000 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 €3 000?
Time value of money worksheet with answers
A foundation wants to pay a prize of €2 000 at the end of every year, forever. The fund earns 8% interest per year. How much must be invested today? Find PV.
You need €5 000 in 6 years. An account pays 6% per year, compounded monthly. How much must you deposit today? Find the present value PV.
You need €15 000 in 8 years. An account pays 3% per year, compounded monthly. How much must you deposit today? Find the present value PV.
A loan of €15 000 is repaid with equal monthly payments over 3 years at 4.2% per year, compounded monthly. How much interest I is paid in total over the life of the loan?
You deposit €2 000 at the start of every year for 24 years, the first deposit today. The account pays 7% per year. How much is in the account at the end of year 24? Find FV.
Answer key
- 1. n = 56 years
- 2. PV = 25000 €
- 3. PV = 3492 €
- 4. PV = 11803 €
- 5. I = 991 €
- 6. FV = 124498 €
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