You deposit €2 500 in a savings account that pays 5% interest per year, compounded annually. How much is in the account after 9 years? Find the future value FV.
Time value of money worksheet with answers
A foundation wants to pay a prize of €12 000 at the end of every year, forever. The fund earns 2.5% interest per year. How much must be invested today? Find PV.
An annuity pays €8 000 at the end of each year for 18 years. The interest rate is 3% per year. Find the present value PV of the annuity.
A credit card charges a nominal interest rate of 17.5% per year, compounded monthly. Find the effective annual rate EAR in percent.
You save €200 at the end of every month for 8 years. The account pays 6% per year, compounded monthly. How much have you saved at the end? Find FV.
You borrow €8 000 at 4.2% per year, compounded monthly, and repay €150 at the end of every month. How many months does it take until the loan is repaid (the last payment may be smaller)? Give the number of payments N.
Answer key
- 1. FV = 3878 €
- 2. PV = 480000 €
- 3. PV = 110028 €
- 4. EAR = 18.97 %
- 5. FV = 24566 €
- 6. N = 60 payments
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