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€500FV = ?

You deposit €500 in a savings account that pays 1.5% interest per year, compounded annually. How much is in the account after 11 years? Find the future value FV.

PV = €500i = 1.5%n = 11
FV = €
2.Easy
years0123…8€1 500FV = ?

You deposit €1 500 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 8 years? Find the future value FV.

PV = €1 500i = 4.5%n = 8
FV = €
3.Medium
years0123…9PV = ?€25 000

You need €25 000 in 9 years. An account pays 5% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €25 0005% / 12n = 9
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 3% per year. Find the present value PV of the annuity.

A = €3 000i = 3%n = 7
PV = €
5.Hard
months0123…N = ?€20 000€275€275€275€2755.4% / 12

You borrow €20 000 at 5.4% per year, compounded monthly, and repay €275 at the end of every month. How many months does it take until the loan is repaid (the last payment may be smaller)? Give the number of payments N.

P = €20 000A = €2755.4% / 12
N = payments
6.Hard
years0123…13€5 000€5 000€5 000FV = ?

You deposit €5 000 at the start of every year for 13 years, the first deposit today. The account pays 6% per year. How much is in the account at the end of year 13? Find FV.

A = €5 000i = 6%n = 13
FV = €

Answer key

  1. 1. FV = 589 €
  2. 2. FV = 2133 €
  3. 3. PV = 15956 €
  4. 4. PV = 18691 €
  5. 5. N = 89 payments
  6. 6. FV = 100075 €

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