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 €1 000 at 9% 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 €1 500?

PV = €1 000FV = €1 500i = 9%

n = years

2.Easy

An investment of €2 000 grows to €3 110 in 10 years with annual compounding. Find the annual interest rate i in percent.

PV = €2 000FV = €3 110n = 10

i = %

3.Medium

You invest €8 000 at a nominal rate of 2% per year, compounded monthly. Find the value FV of the investment after 3 years.

PV = €8 0002% / 12n = 3

FV = €

4.Medium

You need €15 000 in 10 years. An account pays 5% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €15 0005% / 4n = 10

PV = €

5.Hard

You borrow €15 000 at 4.8% per year, compounded monthly, and repay €450 at the end of every month. How many months does it take until the loan is repaid (the last payment may be smaller)? Give the number of payments N.

P = €15 000A = €4504.8% / 12

N = payments

6.Hard

You deposit €5 000 at the start of every year for 26 years, the first deposit today. The account pays 6% per year. How much is in the account at the end of year 26? Find FV.

A = €5 000i = 6%n = 26

FV = €

Answer key

1. n = 5 years
2. i = 4.514 %
3. FV = 8494 €
4. PV = 9126 €
5. N = 36 payments
6. FV = 313529 €

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