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
years012345€4 000FV = ?

You deposit €4 000 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 5 years? Find the future value FV.

PV = €4 000i = 4.5%n = 5
FV = €
2.Easy
years0123…8€2 500FV = ?

You deposit €2 500 in a savings account that pays 2.5% interest per year, compounded annually. How much is in the account after 8 years? Find the future value FV.

PV = €2 500i = 2.5%n = 8
FV = €
3.Medium
years0123…9PV = ?€8 000+1%+1%…r = 6%

A property is expected to earn net rent of €8 000 next year. The rent is expected to grow by 1% per year forever. The required return is 6% per year. Find the value PV of the property today.

C1 = €8 000g = 1%r = 6%
PV = €
4.Medium
years0123€10 000FV = ?

You invest €10 000 at 2% per year with continuous compounding. Find the value FV after 3 years.

PV = €10 000r = 2%t = 3
FV = €
5.Hard
years0123…26€1 000€1 000€1 000FV = ?

You deposit €1 000 at the start of every year for 26 years, the first deposit today. The account pays 5% per year. How much is in the account at the end of year 26? Find FV.

A = €1 000i = 5%n = 26
FV = €
6.Hard
months0123…36€15 000A?AAA

A loan of €15 000 is repaid with equal monthly payments over 3 years. The interest rate is 2.4% per year, compounded monthly. Find the monthly payment A.

P = €15 0002.4% / 12N = 36
A = €

Answer key

  1. 1. FV = 4985 €
  2. 2. FV = 3046 €
  3. 3. PV = 160000 €
  4. 4. FV = 10618 €
  5. 5. FV = 53669 €
  6. 6. A = 432.3 €

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