You deposit €4 000 at 3% 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 €6 000?
Time value of money worksheet with answers
You deposit €5 000 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 7 years? Find the future value FV.
An annuity pays €500 at the end of each year for 18 years. The interest rate is 8% per year. Find the present value PV of the annuity.
You need €25 000 in 4 years. An account pays 3% per year, compounded quarterly. How much must you deposit today? Find the present value PV.
A loan of €20 000 is repaid with equal monthly payments over 4 years at 3.6% per year, compounded monthly. How much interest I is paid in total over the life of the loan?
You deposit €6 000 at the start of every year for 26 years, the first deposit today. The account pays 3% per year. How much is in the account at the end of year 26? Find FV.
Answer key
- 1. n = 14 years
- 2. FV = 6804 €
- 3. PV = 4686 €
- 4. PV = 22183 €
- 5. I = 1504 €
- 6. FV = 238258 €
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