You deposit €5 000 at 6% interest per year, compounded annually (interest is added at the end of each year). After how many whole years n does the balance first reach at least €12 500?
Time value of money worksheet with answers
You deposit €2 000 at 7% interest per year, compounded annually (interest is added at the end of each year). After how many whole years n does the balance first reach at least €4 000?
You need €15 000 in 9 years. An account pays 3% per year, compounded quarterly. How much must you deposit today? Find the present value PV.
A credit card charges a nominal interest rate of 24% per year, compounded daily. Find the effective annual rate EAR in percent.
You save €150 at the end of every month for 21 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.
You want €75 000 in 11 years. You save the same amount at the end of every month in an account paying 4.8% per year, compounded monthly. Find the monthly deposit A.
Answer key
- 1. n = 16 years
- 2. n = 11 years
- 3. PV = 11462 €
- 4. EAR = 27.11 %
- 5. FV = 60515 €
- 6. A = 432.4 €
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