An investment of €5 000 grows to €5 870 in 5 years with annual compounding. Find the annual interest rate i in percent.
Time value of money worksheet with answers
You deposit €10 000 in a savings account that pays 7% interest per year, compounded annually. How much is in the account after 12 years? Find the future value FV.
You need €15 000 in 7 years. An account pays 6% per year, compounded monthly. How much must you deposit today? Find the present value PV.
You need €5 000 in 10 years. An account pays 4% per year, compounded quarterly. How much must you deposit today? Find the present value PV.
A mortgage of €200 000 is repaid with equal monthly payments over 20 years at 3% per year, compounded monthly. How much is still owed just after the payment at the end of year 6? Find the outstanding balance B.
You save €200 at the end of every month for 25 years. The account pays 3.6% per year, compounded monthly. How much have you saved at the end? Find FV.
Answer key
- 1. i = 3.26 %
- 2. FV = 22522 €
- 3. PV = 9866 €
- 4. PV = 3358 €
- 5. B = 152008 €
- 6. FV = 97086 €
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