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
years0123456PV = ?€20 000

You will receive €20 000 in 6 years. The interest rate is 4% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €20 000i = 4%n = 6
PV = €
2.Easy
years0123…9€7 500FV = ?

You deposit €7 500 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 = €7 500i = 4.5%n = 9
FV = €
3.Medium
years0123…18PV = ?€1 000€1 000€1 000€1 000

An annuity pays €1 000 at the end of each year for 18 years. The interest rate is 4% per year. Find the present value PV of the annuity.

A = €1 000i = 4%n = 18
PV = €
4.Medium
years0123…19€2 000FV = ?

You invest €2 000 at 2% per year with continuous compounding. Find the value FV after 19 years.

PV = €2 000r = 2%t = 19
FV = €
5.Hard
months0123…N = ?€5 000€175€175€175€1756% / 12

You borrow €5 000 at 6% per year, compounded monthly, and repay €175 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 = €5 000A = €1756% / 12
N = payments
6.Hard
months0123…132€150€150€150FV = ?

You save €150 at the end of every month for 11 years. The account pays 2.4% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €1502.4% / 12N = 132
FV = €

Answer key

  1. 1. PV = 15806 €
  2. 2. FV = 11146 €
  3. 3. PV = 12659 €
  4. 4. FV = 2925 €
  5. 5. N = 31 payments
  6. 6. FV = 22634 €

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