A foundation wants to pay a prize of €2 000 at the end of every year, forever. The fund earns 8% interest per year. How much must be invested today? Find PV.
Time value of money worksheet with answers
You deposit €2 500 in a savings account that pays 6% interest per year, compounded annually. How much is in the account after 5 years? Find the future value FV.
You need €20 000 in 4 years. An account pays 5% per year, compounded monthly. How much must you deposit today? Find the present value PV.
An annuity pays €1 500 at the end of each year for 18 years. The interest rate is 5% per year. Find the present value PV of the annuity.
A mortgage of €200 000 is repaid with equal monthly payments over 20 years at 7.2% per year, compounded monthly. How much is still owed just after the payment at the end of year 3? Find the outstanding balance B.
A loan of €30 000 is repaid with equal monthly payments over 6 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. PV = 25000 €
- 2. FV = 3346 €
- 3. PV = 16381 €
- 4. PV = 17534 €
- 5. B = 184993 €
- 6. I = 3991 €
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