You deposit €4 000 in a savings account that pays 7% interest per year, compounded annually. How much is in the account after 10 years? Find the future value FV.
Time value of money worksheet with answers
A foundation wants to pay a prize of €2 500 at the end of every year, forever. The fund earns 2% interest per year. How much must be invested today? Find PV.
You need €15 000 in 2 years. An account pays 4% per year, compounded quarterly. How much must you deposit today? Find the present value PV.
An annuity pays €500 at the end of each year for 14 years. The interest rate is 10% per year. Find the present value PV of the annuity.
A mortgage of €150 000 is repaid with equal monthly payments over 25 years at 6% per year, compounded monthly. How much is still owed just after the payment at the end of year 9? Find the outstanding balance B.
You deposit €2 000 at the start of every year for 23 years, the first deposit today. The account pays 8% per year. How much is in the account at the end of year 23? Find FV.
Answer key
- 1. FV = 7869 €
- 2. PV = 125000 €
- 3. PV = 13852 €
- 4. PV = 3683 €
- 5. B = 119104 €
- 6. FV = 131530 €
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