An investment of €8 000 grows to €15 360 in 8 years with annual compounding. Find the annual interest rate i in percent.
Time value of money worksheet with answers
A foundation wants to pay a prize of €10 000 at the end of every year, forever. The fund earns 8% interest per year. How much must be invested today? Find PV.
You invest €20 000 at a nominal rate of 5% per year, compounded quarterly. Find the value FV of the investment after 4 years.
You need €5 000 in 8 years. An account pays 3% per year, compounded quarterly. How much must you deposit today? Find the present value PV.
You save €50 at the end of every month for 29 years. The account pays 6% per year, compounded monthly. How much have you saved at the end? Find FV.
You want €25 000 in 3 years. You save the same amount at the end of every month in an account paying 7.2% per year, compounded monthly. Find the monthly deposit A.
Answer key
- 1. i = 8.496 %
- 2. PV = 125000 €
- 3. FV = 24398 €
- 4. PV = 3937 €
- 5. FV = 46727 €
- 6. A = 624.2 €
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