You deposit €7 500 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 11 years? Find the future value FV.
Time value of money worksheet with answers
1.Easy
PV = €7 500i = 4.5%n = 11
FV = €
2.Easy
An investment of €8 000 grows to €9 910 in 4 years with annual compounding. Find the annual interest rate i in percent.
PV = €8 000FV = €9 910n = 4
i = %
3.Medium
An annuity pays €5 000 at the end of each year for 12 years. The interest rate is 7% per year. Find the present value PV of the annuity.
A = €5 000i = 7%n = 12
PV = €
4.Medium
You invest €3 000 at a nominal rate of 2% per year, compounded quarterly. Find the value FV of the investment after 7 years.
PV = €3 0002% / 4n = 7
FV = €
5.Hard
You save €50 at the end of every month for 30 years. The account pays 3% per year, compounded monthly. How much have you saved at the end? Find FV.
A = €503% / 12N = 360
FV = €
6.Hard
You save €150 at the end of every month for 12 years. The account pays 4.8% per year, compounded monthly. How much have you saved at the end? Find FV.
A = €1504.8% / 12N = 144
FV = €
Answer key
- 1. FV = 12171 €
- 2. i = 5.498 %
- 3. PV = 39713 €
- 4. FV = 3450 €
- 5. FV = 29137 €
- 6. FV = 29132 €
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