You deposit €4 000 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 2 years? Find the future value FV.
Time value of money worksheet with answers
1.Easy
PV = €4 000i = 4.5%n = 2
FV = €
2.Easy
An investment of €1 000 grows to €1 280 in 5 years with annual compounding. Find the annual interest rate i in percent.
PV = €1 000FV = €1 280n = 5
i = %
3.Medium
You invest €20 000 at a nominal rate of 4.8% per year, compounded quarterly. Find the value FV of the investment after 8 years.
PV = €20 0004.8% / 4n = 8
FV = €
4.Medium
You invest €1 000 at a nominal rate of 4.8% per year, compounded quarterly. Find the value FV of the investment after 8 years.
PV = €1 0004.8% / 4n = 8
FV = €
5.Hard
A loan of €15 000 is repaid with equal monthly payments over 3 years. The interest rate is 2.4% per year, compounded monthly. Find the monthly payment A.
P = €15 0002.4% / 12N = 36
A = €
6.Hard
A loan of €20 000 is repaid with equal monthly payments over 5 years. The interest rate is 4.2% per year, compounded monthly. Find the monthly payment A.
P = €20 0004.2% / 12N = 60
A = €
Answer key
- 1. FV = 4368 €
- 2. i = 5.061 %
- 3. FV = 29296 €
- 4. FV = 1465 €
- 5. A = 432.3 €
- 6. A = 370.1 €
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