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.

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________   Date: ____________

1.Easy
years012n = ?€1 000€3 000

You deposit €1 000 at 2% 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 €3 000?

PV = €1 000FV = €3 000i = 2%
n = years
2.Easy
years0123…9PV = ?€2 000€2 000€2 000…

A foundation wants to pay a prize of €2 000 at the end of every year, forever. The fund earns 8% interest per year. How much must be invested today? Find PV.

A = €2 000i = 8%
PV = €
3.Medium
years0123456PV = ?€5 000

You need €5 000 in 6 years. An account pays 6% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €5 0006% / 12n = 6
PV = €
4.Medium
years0123…8PV = ?€15 000

You need €15 000 in 8 years. An account pays 3% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €15 0003% / 12n = 8
PV = €
5.Hard
months0123…36€15 000AAAA4.2% / 12, I = ?

A loan of €15 000 is repaid with equal monthly payments over 3 years at 4.2% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €15 0004.2% / 12N = 36
I = €
6.Hard
years0123…24€2 000€2 000€2 000FV = ?

You deposit €2 000 at the start of every year for 24 years, the first deposit today. The account pays 7% per year. How much is in the account at the end of year 24? Find FV.

A = €2 000i = 7%n = 24
FV = €

Answer key

  1. 1. n = 56 years
  2. 2. PV = 25000 €
  3. 3. PV = 3492 €
  4. 4. PV = 11803 €
  5. 5. I = 991 €
  6. 6. FV = 124498 €

Full step-by-step solutions: practise this topic on examproblems.com.