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€7 500FV = ?

You deposit €7 500 in a savings account that pays 6% interest per year, compounded annually. How much is in the account after 6 years? Find the future value FV.

PV = €7 500i = 6%n = 6
FV = €
2.Easy
years0123456PV = ?€50 000

You will receive €50 000 in 6 years. The interest rate is 6% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €50 000i = 6%n = 6
PV = €
3.Medium
years0123…8PV = ?€5 000

You need €5 000 in 8 years. An account pays 4% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €5 0004% / 4n = 8
PV = €
4.Medium
years0123…9PV = ?€20 000+2.5%+2.5%…r = 4.5%

A property is expected to earn net rent of €20 000 next year. The rent is expected to grow by 2.5% per year forever. The required return is 4.5% per year. Find the value PV of the property today.

C1 = €20 000g = 2.5%r = 4.5%
PV = €
5.Hard
months0123…348€250€250€250FV = ?

You save €250 at the end of every month for 29 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €2504.2% / 12N = 348
FV = €
6.Hard
months01…108…360€150 000AB = ?A4.8% / 12

A mortgage of €150 000 is repaid with equal monthly payments over 30 years at 4.8% per year, compounded monthly. How much is still owed just after the payment at the end of year 9? Find the outstanding balance B.

P = €150 0004.8% / 12N = 360k = 108
B = €

Answer key

  1. 1. FV = 10639 €
  2. 2. PV = 35248 €
  3. 3. PV = 3637 €
  4. 4. PV = 1 × 10⁶ €
  5. 5. FV = 169517 €
  6. 6. B = 124802 €

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