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…15PV = ?€50 000

You will receive €50 000 in 15 years. The interest rate is 5% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €50 000i = 5%n = 15
PV = €
2.Easy
years012n = ?€4 000€12 000

You deposit €4 000 at 9% interest per year, compounded annually (interest is added at the end of each year). After how many whole years n does the balance first reach at least €12 000?

PV = €4 000FV = €12 000i = 9%
n = years
3.Medium
years0123…11PV = ?€5 000€5 000€5 000€5 000

An annuity pays €5 000 at the end of each year for 11 years. The interest rate is 5% per year. Find the present value PV of the annuity.

A = €5 000i = 5%n = 11
PV = €
4.Medium
years0123…10PV = ?€40 000

You need €40 000 in 10 years. An account pays 2% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €40 0002% / 4n = 10
PV = €
5.Hard
years01234567€2 500€2 500€2 500FV = ?

You deposit €2 500 at the start of every year for 7 years, the first deposit today. The account pays 6% per year. How much is in the account at the end of year 7? Find FV.

A = €2 500i = 6%n = 7
FV = €
6.Hard
months0123…36€25 000A?AAA

A loan of €25 000 is repaid with equal monthly payments over 3 years. The interest rate is 3.6% per year, compounded monthly. Find the monthly payment A.

P = €25 0003.6% / 12N = 36
A = €

Answer key

  1. 1. PV = 24051 €
  2. 2. n = 13 years
  3. 3. PV = 41532 €
  4. 4. PV = 32766 €
  5. 5. FV = 22244 €
  6. 6. A = 733.7 €

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