You deposit €500 in a savings account that pays 7% 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 = €500i = 7%n = 2
FV = €
2.Easy
An investment of €10 000 grows to €15 160 in 10 years with annual compounding. Find the annual interest rate i in percent.
PV = €10 000FV = €15 160n = 10
i = %
3.Medium
You invest €8 000 at a nominal rate of 5% per year, compounded quarterly. Find the value FV of the investment after 7 years.
PV = €8 0005% / 4n = 7
FV = €
4.Medium
A credit card charges a nominal interest rate of 16% per year, compounded quarterly. Find the effective annual rate EAR in percent.
r = 16%m = 4
EAR = %
5.Hard
A loan of €200 000 is repaid with equal monthly payments over 30 years. The interest rate is 5.4% per year, compounded monthly. Find the monthly payment A.
P = €200 0005.4% / 12N = 360
A = €
6.Hard
You save €150 at the end of every month for 20 years. The account pays 3% per year, compounded monthly. How much have you saved at the end? Find FV.
A = €1503% / 12N = 240
FV = €
Answer key
- 1. FV = 572.5 €
- 2. i = 4.249 %
- 3. FV = 11328 €
- 4. EAR = 16.99 %
- 5. A = 1123 €
- 6. FV = 49245 €
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