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
years01234567PV = ?€25 000

You will receive €25 000 in 7 years. The interest rate is 4.5% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €25 000i = 4.5%n = 7
PV = €
2.Easy
years0123€7 500FV = ?

You deposit €7 500 in a savings account that pays 1.5% interest per year, compounded annually. How much is in the account after 3 years? Find the future value FV.

PV = €7 500i = 1.5%n = 3
FV = €
3.Medium
periods0123411 + EAR = ?19.5% / 4

A credit card charges a nominal interest rate of 19.5% per year, compounded quarterly. Find the effective annual rate EAR in percent.

r = 19.5%m = 4
EAR = %
4.Medium
years0123…9€12 000FV = ?

You invest €12 000 at a nominal rate of 6% per year, compounded quarterly. Find the value FV of the investment after 9 years.

PV = €12 0006% / 4n = 9
FV = €
5.Hard
months0123…240A?AA€50 000

You want €50 000 in 20 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 = €50 0003.6% / 12N = 240
A = €
6.Hard
months0123…360€250 000A?AAA

A loan of €250 000 is repaid with equal monthly payments over 30 years. The interest rate is 2.4% per year, compounded monthly. Find the monthly payment A.

P = €250 0002.4% / 12N = 360
A = €

Answer key

  1. 1. PV = 18371 €
  2. 2. FV = 7843 €
  3. 3. EAR = 20.97 %
  4. 4. FV = 20510 €
  5. 5. A = 142.6 €
  6. 6. A = 974.9 €

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