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€1 000€1 200

An investment of €1 000 grows to €1 200 in 9 years with annual compounding. Find the annual interest rate i in percent.

PV = €1 000FV = €1 200n = 9
i = %
2.Easy
years01234€1 000FV = ?

You deposit €1 000 in a savings account that pays 2.5% interest per year, compounded annually. How much is in the account after 4 years? Find the future value FV.

PV = €1 000i = 2.5%n = 4
FV = €
3.Medium
years012345PV = ?€20 000

You need €20 000 in 5 years. An account pays 2% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €20 0002% / 4n = 5
PV = €
4.Medium
periods0123…36511 + EAR = ?24% / 365

A credit card charges a nominal interest rate of 24% per year, compounded daily. Find the effective annual rate EAR in percent.

r = 24%m = 365
EAR = %
5.Hard
months0123…240€250 000A?AAA

A loan of €250 000 is repaid with equal monthly payments over 20 years. The interest rate is 4.8% per year, compounded monthly. Find the monthly payment A.

P = €250 0004.8% / 12N = 240
A = €
6.Hard
months0123…144€150€150€150FV = ?

You save €150 at the end of every month for 12 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1504.2% / 12N = 144
FV = €

Answer key

  1. 1. i = 2.046 %
  2. 2. FV = 1104 €
  3. 3. PV = 18101 €
  4. 4. EAR = 27.11 %
  5. 5. A = 1622 €
  6. 6. FV = 28023 €

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