A foundation wants to pay a prize of €2 000 at the end of every year, forever. The fund earns 2.5% interest per year. How much must be invested today? Find PV.
Time value of money worksheet with answers
You deposit €4 000 in a savings account that pays 7% interest per year, compounded annually. How much is in the account after 3 years? Find the future value FV.
You invest €2 000 at a nominal rate of 3% per year, compounded quarterly. Find the value FV of the investment after 3 years.
A property is expected to earn net rent of €2 000 next year. The rent is expected to grow by 1.5% per year forever. The required return is 5.5% per year. Find the value PV of the property today.
You want €10 000 in 10 years. You save the same amount at the end of every month in an account paying 4.2% per year, compounded monthly. Find the monthly deposit A.
A loan of €20 000 is repaid with equal monthly payments over 6 years. The interest rate is 2.4% per year, compounded monthly. Find the monthly payment A.
Answer key
- 1. PV = 80000 €
- 2. FV = 4900 €
- 3. FV = 2188 €
- 4. PV = 50000 €
- 5. A = 67.2 €
- 6. A = 298.5 €
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