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…11€2 000FV = ?

You deposit €2 000 in a savings account that pays 2% interest per year, compounded annually. How much is in the account after 11 years? Find the future value FV.

PV = €2 000i = 2%n = 11
FV = €
2.Easy
years01234€5 000€5 520

An investment of €5 000 grows to €5 520 in 4 years with annual compounding. Find the annual interest rate i in percent.

PV = €5 000FV = €5 520n = 4
i = %
3.Medium
years0123…8PV = ?€20 000

You need €20 000 in 8 years. An account pays 5% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €20 0005% / 4n = 8
PV = €
4.Medium
years012345€8 000FV = ?

You invest €8 000 at a nominal rate of 3% per year, compounded monthly. Find the value FV of the investment after 5 years.

PV = €8 0003% / 12n = 5
FV = €
5.Hard
months0123…324€50€50€50FV = ?

You save €50 at the end of every month for 27 years. The account pays 4.8% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €504.8% / 12N = 324
FV = €
6.Hard
months01…144…360€200 000AB = ?A5.4% / 12

A mortgage of €200 000 is repaid with equal monthly payments over 30 years at 5.4% per year, compounded monthly. How much is still owed just after the payment at the end of year 12? Find the outstanding balance B.

P = €200 0005.4% / 12N = 360k = 144
B = €

Answer key

  1. 1. FV = 2487 €
  2. 2. i = 2.504 %
  3. 3. PV = 13440 €
  4. 4. FV = 9293 €
  5. 5. FV = 33065 €
  6. 6. B = 154945 €

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