You deposit €2 500 in a savings account that pays 4% interest per year, compounded annually. How much is in the account after 7 years? Find the future value FV.
Time value of money worksheet with answers
1.Easy
PV = €2 500i = 4%n = 7
FV = €
2.Easy
An investment of €1 000 grows to €1 220 in 5 years with annual compounding. Find the annual interest rate i in percent.
PV = €1 000FV = €1 220n = 5
i = %
3.Medium
You invest €10 000 at 8% per year with continuous compounding. Find the value FV after 3 years.
PV = €10 000r = 8%t = 3
FV = €
4.Medium
A credit card charges a nominal interest rate of 20% per year, compounded daily. Find the effective annual rate EAR in percent.
r = 20%m = 365
EAR = %
5.Hard
You want €30 000 in 11 years. You save the same amount at the end of every month in an account paying 3% per year, compounded monthly. Find the monthly deposit A.
FV = €30 0003% / 12N = 132
A = €
6.Hard
A loan of €200 000 is repaid with equal monthly payments over 25 years. The interest rate is 5.4% per year, compounded monthly. Find the monthly payment A.
P = €200 0005.4% / 12N = 300
A = €
Answer key
- 1. FV = 3290 €
- 2. i = 4.057 %
- 3. FV = 12712 €
- 4. EAR = 22.13 %
- 5. A = 192.1 €
- 6. A = 1216 €
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