You deposit €4 000 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 3 years? Find the future value FV.
Time value of money worksheet with answers
1.Easy
PV = €4 000i = 4.5%n = 3
FV = €
2.Easy
An investment of €8 000 grows to €11 750 in 5 years with annual compounding. Find the annual interest rate i in percent.
PV = €8 000FV = €11 750n = 5
i = %
3.Medium
You invest €1 000 at 3% per year with continuous compounding. Find the value FV after 20 years.
PV = €1 000r = 3%t = 20
FV = €
4.Medium
A credit card charges a nominal interest rate of 21% per year, compounded quarterly. Find the effective annual rate EAR in percent.
r = 21%m = 4
EAR = %
5.Hard
You save €300 at the end of every month for 22 years. The account pays 6% per year, compounded monthly. How much have you saved at the end? Find FV.
A = €3006% / 12N = 264
FV = €
6.Hard
You deposit €6 000 at the start of every year for 10 years, the first deposit today. The account pays 7% per year. How much is in the account at the end of year 10? Find FV.
A = €6 000i = 7%n = 10
FV = €
Answer key
- 1. FV = 4565 €
- 2. i = 7.992 %
- 3. FV = 1822 €
- 4. EAR = 22.71 %
- 5. FV = 163868 €
- 6. FV = 88702 €
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