An investment of €10 000 grows to €10 770 in 3 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 €5 000 at the end of every year, forever. The fund earns 4% interest per year. How much must be invested today? Find PV.
You invest €20 000 at 2% per year with continuous compounding. Find the value FV after 20 years.
You invest €12 000 at a nominal rate of 3% per year, compounded quarterly. Find the value FV of the investment after 5 years.
You want €50 000 in 16 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.
A loan of €8 000 is repaid with equal monthly payments over 3 years. The interest rate is 2.4% per year, compounded monthly. Find the monthly payment A.
Answer key
- 1. i = 2.503 %
- 2. PV = 125000 €
- 3. FV = 29836 €
- 4. FV = 13934 €
- 5. A = 139.3 €
- 6. A = 230.5 €
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