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
years012n = ?€4 000€6 000

You deposit €4 000 at 3% 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 €6 000?

PV = €4 000FV = €6 000i = 3%
n = years
2.Easy
years01234567€5 000FV = ?

You deposit €5 000 in a savings account that pays 4.5% interest per year, compounded annually. How much is in the account after 7 years? Find the future value FV.

PV = €5 000i = 4.5%n = 7
FV = €
3.Medium
years0123…18PV = ?€500€500€500€500

An annuity pays €500 at the end of each year for 18 years. The interest rate is 8% per year. Find the present value PV of the annuity.

A = €500i = 8%n = 18
PV = €
4.Medium
years01234PV = ?€25 000

You need €25 000 in 4 years. An account pays 3% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €25 0003% / 4n = 4
PV = €
5.Hard
months0123…48€20 000AAAA3.6% / 12, I = ?

A loan of €20 000 is repaid with equal monthly payments over 4 years at 3.6% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €20 0003.6% / 12N = 48
I = €
6.Hard
years0123…26€6 000€6 000€6 000FV = ?

You deposit €6 000 at the start of every year for 26 years, the first deposit today. The account pays 3% per year. How much is in the account at the end of year 26? Find FV.

A = €6 000i = 3%n = 26
FV = €

Answer key

  1. 1. n = 14 years
  2. 2. FV = 6804 €
  3. 3. PV = 4686 €
  4. 4. PV = 22183 €
  5. 5. I = 1504 €
  6. 6. FV = 238258 €

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