You deposit €1 500 in a savings account that pays 5% interest per year, compounded annually. How much is in the account after 12 years? Find the future value FV.
Time value of money worksheet with answers
1.Easy
PV = €1 500i = 5%n = 12
FV = €
2.Easy
You will receive €5 000 in 12 years. The interest rate is 8% per year, compounded annually. What is this amount worth today? Find the present value PV.
FV = €5 000i = 8%n = 12
PV = €
3.Medium
A credit card charges a nominal interest rate of 21% per year, compounded daily. Find the effective annual rate EAR in percent.
r = 21%m = 365
EAR = %
4.Medium
You invest €20 000 at 2% per year with continuous compounding. Find the value FV after 4 years.
PV = €20 000r = 2%t = 4
FV = €
5.Hard
You save €300 at the end of every month for 29 years. The account pays 3.6% per year, compounded monthly. How much have you saved at the end? Find FV.
A = €3003.6% / 12N = 348
FV = €
6.Hard
A loan of €25 000 is repaid with equal monthly payments over 6 years. The interest rate is 3% per year, compounded monthly. Find the monthly payment A.
P = €25 0003% / 12N = 72
A = €
Answer key
- 1. FV = 2694 €
- 2. PV = 1986 €
- 3. EAR = 23.36 %
- 4. FV = 21666 €
- 5. FV = 183612 €
- 6. A = 379.8 €
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