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€1 000FV = ?

You deposit €1 000 in a savings account that pays 6% interest per year, compounded annually. How much is in the account after 3 years? Find the future value FV.

PV = €1 000i = 6%n = 3
FV = €
2.Easy
years0123…8€10 000FV = ?

You deposit €10 000 in a savings account that pays 5% interest per year, compounded annually. How much is in the account after 8 years? Find the future value FV.

PV = €10 000i = 5%n = 8
FV = €
3.Medium
years01234567PV = ?€8 000€8 000€8 000€8 000

An annuity pays €8 000 at the end of each year for 7 years. The interest rate is 7% per year. Find the present value PV of the annuity.

A = €8 000i = 7%n = 7
PV = €
4.Medium
years0123…10PV = ?€5 000

You need €5 000 in 10 years. An account pays 3.6% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €5 0003.6% / 12n = 10
PV = €
5.Hard
months01…240…300€200 000AB = ?A7.2% / 12

A mortgage of €200 000 is repaid with equal monthly payments over 25 years at 7.2% per year, compounded monthly. How much is still owed just after the payment at the end of year 20? Find the outstanding balance B.

P = €200 0007.2% / 12N = 300k = 240
B = €
6.Hard
months0123…60A?AA€25 000

You want €25 000 in 5 years. You save the same amount at the end of every month in an account paying 4.8% per year, compounded monthly. Find the monthly deposit A.

FV = €25 0004.8% / 12N = 60
A = €

Answer key

  1. 1. FV = 1191 €
  2. 2. FV = 14775 €
  3. 3. PV = 43114 €
  4. 4. PV = 3490 €
  5. 5. B = 72336 €
  6. 6. A = 369.5 €

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