Time value of money worksheet with answers

Free printable Time value of money worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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Name: ____________________ Date: ____________

1.Easy

You deposit €5 000 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 €15 000?

PV = €5 000FV = €15 000i = 3%

n = years

2.Easy

You deposit €1 000 at 5% 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 €2 500?

PV = €1 000FV = €2 500i = 5%

n = years

3.Medium

You need €5 000 in 9 years. An account pays 4.8% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €5 0004.8% / 4n = 9

PV = €

4.Medium

You invest €20 000 at a nominal rate of 4% per year, compounded quarterly. Find the value FV of the investment after 5 years.

PV = €20 0004% / 4n = 5

FV = €

5.Hard

A loan of €20 000 is repaid with equal monthly payments over 4 years at 2.4% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €20 0002.4% / 12N = 48

I = €

6.Hard

A loan of €150 000 is repaid with equal monthly payments over 25 years. The interest rate is 5.4% per year, compounded monthly. Find the monthly payment A.

P = €150 0005.4% / 12N = 300

A = €

Answer key

1. n = 38 years
2. n = 19 years
3. PV = 3254 €
4. FV = 24404 €
5. I = 995.3 €
6. A = 912.2 €

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