An investment of €2 000 grows to €2 620 in 4 years with annual compounding. Find the annual interest rate i in percent.
Time value of money worksheet with answers
1.Easy
PV = €2 000FV = €2 620n = 4
i = %
2.Easy
You deposit €500 in a savings account that pays 3% interest per year, compounded annually. How much is in the account after 11 years? Find the future value FV.
PV = €500i = 3%n = 11
FV = €
3.Medium
You invest €5 000 at 4% per year with continuous compounding. Find the value FV after 2 years.
PV = €5 000r = 4%t = 2
FV = €
4.Medium
You invest €3 000 at a nominal rate of 4.8% per year, compounded monthly. Find the value FV of the investment after 7 years.
PV = €3 0004.8% / 12n = 7
FV = €
5.Hard
You save €500 at the end of every month for 29 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.
A = €5004.2% / 12N = 348
FV = €
6.Hard
A loan of €25 000 is repaid with equal monthly payments over 4 years. The interest rate is 3.6% per year, compounded monthly. Find the monthly payment A.
P = €25 0003.6% / 12N = 48
A = €
Answer key
- 1. i = 6.984 %
- 2. FV = 692.1 €
- 3. FV = 5416 €
- 4. FV = 4195 €
- 5. FV = 339034 €
- 6. A = 560 €
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