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
years0123…9€1 000FV = ?

You deposit €1 000 in a savings account that pays 3% interest per year, compounded annually. How much is in the account after 9 years? Find the future value FV.

PV = €1 000i = 3%n = 9
FV = €
2.Easy
years0123€5 000FV = ?

You deposit €5 000 in a savings account that pays 5% interest per year, compounded annually. How much is in the account after 3 years? Find the future value FV.

PV = €5 000i = 5%n = 3
FV = €
3.Medium
years01234PV = ?€10 000

You need €10 000 in 4 years. An account pays 5% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €10 0005% / 4n = 4
PV = €
4.Medium
years0123…19PV = ?€500€500€500€500

An annuity pays €500 at the end of each year for 19 years. The interest rate is 10% per year. Find the present value PV of the annuity.

A = €500i = 10%n = 19
PV = €
5.Hard
months0123…60€15 000AAAA2.4% / 12, I = ?

A loan of €15 000 is repaid with equal monthly payments over 5 years at 2.4% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €15 0002.4% / 12N = 60
I = €
6.Hard
months01…36…300€200 000AB = ?A3% / 12

A mortgage of €200 000 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 3? Find the outstanding balance B.

P = €200 0003% / 12N = 300k = 36
B = €

Answer key

  1. 1. FV = 1305 €
  2. 2. FV = 5788 €
  3. 3. PV = 8197 €
  4. 4. PV = 4182 €
  5. 5. I = 933 €
  6. 6. B = 183130 €

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