An investment of €4 000 grows to €6 490 in 11 years with annual compounding. Find the annual interest rate i in percent.
Time value of money worksheet with answers
1.Easy
PV = €4 000FV = €6 490n = 11
i = %
2.Easy
You deposit €500 in a savings account that pays 7% interest per year, compounded annually. How much is in the account after 4 years? Find the future value FV.
PV = €500i = 7%n = 4
FV = €
3.Medium
You invest €10 000 at 2% per year with continuous compounding. Find the value FV after 9 years.
PV = €10 000r = 2%t = 9
FV = €
4.Medium
You invest €20 000 at 3% per year with continuous compounding. Find the value FV after 7 years.
PV = €20 000r = 3%t = 7
FV = €
5.Hard
You deposit €5 000 at the start of every year for 17 years, the first deposit today. The account pays 8% per year. How much is in the account at the end of year 17? Find FV.
A = €5 000i = 8%n = 17
FV = €
6.Hard
A loan of €20 000 is repaid with equal monthly payments over 5 years. The interest rate is 4.8% per year, compounded monthly. Find the monthly payment A.
P = €20 0004.8% / 12N = 60
A = €
Answer key
- 1. i = 4.498 %
- 2. FV = 655.4 €
- 3. FV = 11972 €
- 4. FV = 24674 €
- 5. FV = 182251 €
- 6. A = 375.6 €
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