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€4 000€6 840

An investment of €4 000 grows to €6 840 in 11 years with annual compounding. Find the annual interest rate i in percent.

PV = €4 000FV = €6 840n = 11
i = %
2.Easy
years0123…9€2 500FV = ?

You deposit €2 500 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 9 years? Find the future value FV.

PV = €2 500i = 4.5%n = 9
FV = €
3.Medium
years01234567PV = ?€50 000

You need €50 000 in 7 years. An account pays 6% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €50 0006% / 4n = 7
PV = €
4.Medium
years01234567PV = ?€3 000€3 000€3 000€3 000

An annuity pays €3 000 at the end of each year for 7 years. The interest rate is 4% per year. Find the present value PV of the annuity.

A = €3 000i = 4%n = 7
PV = €
5.Hard
months0123…48€8 000A?AAA

A loan of €8 000 is repaid with equal monthly payments over 4 years. The interest rate is 3.6% per year, compounded monthly. Find the monthly payment A.

P = €8 0003.6% / 12N = 48
A = €
6.Hard
months0123…156A?AA€10 000

You want €10 000 in 13 years. You save the same amount at the end of every month in an account paying 3.6% per year, compounded monthly. Find the monthly deposit A.

FV = €10 0003.6% / 12N = 156
A = €

Answer key

  1. 1. i = 4.998 %
  2. 2. FV = 3715 €
  3. 3. PV = 32955 €
  4. 4. PV = 18006 €
  5. 5. A = 179.2 €
  6. 6. A = 50.36 €

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