You deposit €5 000 in a savings account that pays 3.5% interest per year, compounded annually. How much is in the account after 11 years? Find the future value FV.
Time value of money worksheet with answers
1.Easy
PV = €5 000i = 3.5%n = 11
FV = €
2.Easy
An investment of €8 000 grows to €14 710 in 9 years with annual compounding. Find the annual interest rate i in percent.
PV = €8 000FV = €14 710n = 9
i = %
3.Medium
An annuity pays €8 000 at the end of each year for 12 years. The interest rate is 7% per year. Find the present value PV of the annuity.
A = €8 000i = 7%n = 12
PV = €
4.Medium
You invest €10 000 at 2% per year with continuous compounding. Find the value FV after 12 years.
PV = €10 000r = 2%t = 12
FV = €
5.Hard
You want €30 000 in 7 years. You save the same amount at the end of every month in an account paying 5.4% per year, compounded monthly. Find the monthly deposit A.
FV = €30 0005.4% / 12N = 84
A = €
6.Hard
You save €300 at the end of every month for 28 years. The account pays 5.4% per year, compounded monthly. How much have you saved at the end? Find FV.
A = €3005.4% / 12N = 336
FV = €
Answer key
- 1. FV = 7300 €
- 2. i = 7.002 %
- 3. PV = 63541 €
- 4. FV = 12712 €
- 5. A = 294.7 €
- 6. FV = 234696 €
Full step-by-step solutions: practise this topic on examproblems.com.