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…8PV = ?€8 000

You will receive €8 000 in 8 years. The interest rate is 3% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €8 000i = 3%n = 8
PV = €
2.Easy
years0123…9€5 000FV = ?

You deposit €5 000 in a savings account that pays 1.5% interest per year, compounded annually. How much is in the account after 9 years? Find the future value FV.

PV = €5 000i = 1.5%n = 9
FV = €
3.Medium
years012345€8 000FV = ?

You invest €8 000 at a nominal rate of 5% per year, compounded monthly. Find the value FV of the investment after 5 years.

PV = €8 0005% / 12n = 5
FV = €
4.Medium
years01234567€20 000FV = ?

You invest €20 000 at 5% per year with continuous compounding. Find the value FV after 7 years.

PV = €20 000r = 5%t = 7
FV = €
5.Hard
months0123…N = ?€15 000€450€450€450€4504.8% / 12

You borrow €15 000 at 4.8% per year, compounded monthly, and repay €450 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 = €15 000A = €4504.8% / 12
N = payments
6.Hard
months0123…72€8 000A?AAA

A loan of €8 000 is repaid with equal monthly payments over 6 years. The interest rate is 3.6% per year, compounded monthly. Find the monthly payment A.

P = €8 0003.6% / 12N = 72
A = €

Answer key

  1. 1. PV = 6315 €
  2. 2. FV = 5717 €
  3. 3. FV = 10267 €
  4. 4. FV = 28381 €
  5. 5. N = 36 payments
  6. 6. A = 123.7 €

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