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
years0123456€2 500FV = ?

You deposit €2 500 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 6 years? Find the future value FV.

PV = €2 500i = 4.5%n = 6
FV = €
2.Easy
years012345€4 000€5 880

An investment of €4 000 grows to €5 880 in 5 years with annual compounding. Find the annual interest rate i in percent.

PV = €4 000FV = €5 880n = 5
i = %
3.Medium
years0123…10PV = ?€1 000€1 000€1 000€1 000

An annuity pays €1 000 at the end of each year for 10 years. The interest rate is 5% per year. Find the present value PV of the annuity.

A = €1 000i = 5%n = 10
PV = €
4.Medium
years012€10 000FV = ?

You invest €10 000 at 5% per year with continuous compounding. Find the value FV after 2 years.

PV = €10 000r = 5%t = 2
FV = €
5.Hard
months0123…N = ?€5 000€100€100€100€1007.2% / 12

You borrow €5 000 at 7.2% per year, compounded monthly, and repay €100 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 = €1007.2% / 12
N = payments
6.Hard
months0123…168€300€300€300FV = ?

You save €300 at the end of every month for 14 years. The account pays 4.8% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €3004.8% / 12N = 168
FV = €

Answer key

  1. 1. FV = 3256 €
  2. 2. i = 8.01 %
  3. 3. PV = 7722 €
  4. 4. FV = 11052 €
  5. 5. N = 60 payments
  6. 6. FV = 71665 €

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