You deposit €1 500 in a savings account that pays 2.5% 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
An investment of €4 000 grows to €5 920 in 10 years with annual compounding. Find the annual interest rate i in percent.
You invest €3 000 at a nominal rate of 5% per year, compounded quarterly. Find the value FV of the investment after 9 years.
A credit card charges a nominal interest rate of 24% per year, compounded semi-annually. Find the effective annual rate EAR in percent.
You save €200 at the end of every month for 8 years. The account pays 2.4% per year, compounded monthly. How much have you saved at the end? Find FV.
A loan of €150 000 is repaid with equal monthly payments over 25 years at 4.2% per year, compounded monthly. How much interest I is paid in total over the life of the loan?
Answer key
- 1. FV = 1968 €
- 2. i = 3.998 %
- 3. FV = 4692 €
- 4. EAR = 25.44 %
- 5. FV = 21144 €
- 6. I = 92524 €
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