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
years01234PV = ?€15 000

You will receive €15 000 in 4 years. The interest rate is 3.5% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €15 000i = 3.5%n = 4
PV = €
2.Easy
years01234567€10 000€16 320

An investment of €10 000 grows to €16 320 in 7 years with annual compounding. Find the annual interest rate i in percent.

PV = €10 000FV = €16 320n = 7
i = %
3.Medium
years0123…10PV = ?€2 000€2 000€2 000€2 000

An annuity pays €2 000 at the end of each year for 10 years. The interest rate is 7% per year. Find the present value PV of the annuity.

A = €2 000i = 7%n = 10
PV = €
4.Medium
years0123456€12 000FV = ?

You invest €12 000 at a nominal rate of 2% per year, compounded quarterly. Find the value FV of the investment after 6 years.

PV = €12 0002% / 4n = 6
FV = €
5.Hard
months0123…72€8 000A?AAA

A loan of €8 000 is repaid with equal monthly payments over 6 years. The interest rate is 2.4% per year, compounded monthly. Find the monthly payment A.

P = €8 0002.4% / 12N = 72
A = €
6.Hard
months01…180…300€250 000AB = ?A3% / 12

A mortgage of €250 000 is repaid with equal monthly payments over 25 years at 3% per year, compounded monthly. How much is still owed just after the payment at the end of year 15? Find the outstanding balance B.

P = €250 0003% / 12N = 300k = 180
B = €

Answer key

  1. 1. PV = 13072 €
  2. 2. i = 7.248 %
  3. 3. PV = 14047 €
  4. 4. FV = 13526 €
  5. 5. A = 119.4 €
  6. 6. B = 122775 €

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