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
years01234€8 000€10 880

An investment of €8 000 grows to €10 880 in 4 years with annual compounding. Find the annual interest rate i in percent.

PV = €8 000FV = €10 880n = 4
i = %
2.Easy
years0123…12€5 000€12 950

An investment of €5 000 grows to €12 950 in 12 years with annual compounding. Find the annual interest rate i in percent.

PV = €5 000FV = €12 950n = 12
i = %
3.Medium
years0123…10€2 000FV = ?

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

PV = €2 000r = 5%t = 10
FV = €
4.Medium
years012345PV = ?€500€500€500€500

An annuity pays €500 at the end of each year for 5 years. The interest rate is 4% per year. Find the present value PV of the annuity.

A = €500i = 4%n = 5
PV = €
5.Hard
months0123…N = ?€8 000€100€100€100€1003% / 12

You borrow €8 000 at 3% 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 = €8 000A = €1003% / 12
N = payments
6.Hard
months0123…120A?AA€75 000

You want €75 000 in 10 years. You save the same amount at the end of every month in an account paying 3.6% per year, compounded monthly. Find the monthly deposit A.

FV = €75 0003.6% / 12N = 120
A = €

Answer key

  1. 1. i = 7.99 %
  2. 2. i = 8.253 %
  3. 3. FV = 3297 €
  4. 4. PV = 2226 €
  5. 5. N = 90 payments
  6. 6. A = 520.2 €

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