You will receive €20 000 in 5 years. The interest rate is 7% per year, compounded annually. What is this amount worth today? Find the present value PV.
Time value of money worksheet with answers
1.Easy
FV = €20 000i = 7%n = 5
PV = €
2.Easy
An investment of €4 000 grows to €6 590 in 12 years with annual compounding. Find the annual interest rate i in percent.
PV = €4 000FV = €6 590n = 12
i = %
3.Medium
You invest €1 000 at 8% per year with continuous compounding. Find the value FV after 4 years.
PV = €1 000r = 8%t = 4
FV = €
4.Medium
You need €25 000 in 3 years. An account pays 3% per year, compounded quarterly. How much must you deposit today? Find the present value PV.
FV = €25 0003% / 4n = 3
PV = €
5.Hard
You save €250 at the end of every month for 13 years. The account pays 3.6% per year, compounded monthly. How much have you saved at the end? Find FV.
A = €2503.6% / 12N = 156
FV = €
6.Hard
You deposit €1 000 at the start of every year for 26 years, the first deposit today. The account pays 6% per year. How much is in the account at the end of year 26? Find FV.
A = €1 000i = 6%n = 26
FV = €
Answer key
- 1. PV = 14260 €
- 2. i = 4.248 %
- 3. FV = 1377 €
- 4. PV = 22856 €
- 5. FV = 49640 €
- 6. FV = 62706 €
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