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 = ?€10 000€15 000

You deposit €10 000 at 8% 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 €15 000?

PV = €10 000FV = €15 000i = 8%
n = years
2.Easy
years0123…8€2 000€3 770

An investment of €2 000 grows to €3 770 in 8 years with annual compounding. Find the annual interest rate i in percent.

PV = €2 000FV = €3 770n = 8
i = %
3.Medium
years0123…9€5 000FV = ?

You invest €5 000 at a nominal rate of 5% per year, compounded quarterly. Find the value FV of the investment after 9 years.

PV = €5 0005% / 4n = 9
FV = €
4.Medium
years012PV = ?€20 000

You need €20 000 in 2 years. An account pays 6% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €20 0006% / 12n = 2
PV = €
5.Hard
months0123…48€25 000AAAA7.2% / 12, I = ?

A loan of €25 000 is repaid with equal monthly payments over 4 years at 7.2% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €25 0007.2% / 12N = 48
I = €
6.Hard
years0123…26€1 000€1 000€1 000FV = ?

You deposit €1 000 at the start of every year for 26 years, the first deposit today. The account pays 6% per year. How much is in the account at the end of year 26? Find FV.

A = €1 000i = 6%n = 26
FV = €

Answer key

  1. 1. n = 6 years
  2. 2. i = 8.247 %
  3. 3. FV = 7820 €
  4. 4. PV = 17744 €
  5. 5. I = 3847 €
  6. 6. FV = 62706 €

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