An investment of €1 000 grows to €1 310 in 12 years with annual compounding. Find the annual interest rate i in percent.
Time value of money worksheet with answers
1.Easy
PV = €1 000FV = €1 310n = 12
i = %
2.Easy
You deposit €500 in a savings account that pays 2% interest per year, compounded annually. How much is in the account after 2 years? Find the future value FV.
PV = €500i = 2%n = 2
FV = €
3.Medium
You invest €10 000 at 2% per year with continuous compounding. Find the value FV after 4 years.
PV = €10 000r = 2%t = 4
FV = €
4.Medium
You invest €20 000 at 5% per year with continuous compounding. Find the value FV after 9 years.
PV = €20 000r = 5%t = 9
FV = €
5.Hard
A loan of €12 000 is repaid with equal monthly payments over 4 years. The interest rate is 5.4% per year, compounded monthly. Find the monthly payment A.
P = €12 0005.4% / 12N = 48
A = €
6.Hard
You want €50 000 in 19 years. You save the same amount at the end of every month in an account paying 4.8% per year, compounded monthly. Find the monthly deposit A.
FV = €50 0004.8% / 12N = 228
A = €
Answer key
- 1. i = 2.276 %
- 2. FV = 520.2 €
- 3. FV = 10833 €
- 4. FV = 31366 €
- 5. A = 278.5 €
- 6. A = 134.7 €
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