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…10€10 000€15 160

An investment of €10 000 grows to €15 160 in 10 years with annual compounding. Find the annual interest rate i in percent.

PV = €10 000FV = €15 160n = 10
i = %
2.Easy
years0123…9€4 000€7 510

An investment of €4 000 grows to €7 510 in 9 years with annual compounding. Find the annual interest rate i in percent.

PV = €4 000FV = €7 510n = 9
i = %
3.Medium
years0123…9PV = ?€5 000

You need €5 000 in 9 years. An account pays 6% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €5 0006% / 12n = 9
PV = €
4.Medium
years012345PV = ?€20 000

You need €20 000 in 5 years. An account pays 3.6% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €20 0003.6% / 12n = 5
PV = €
5.Hard
months0123…300€300€300€300FV = ?

You save €300 at the end of every month for 25 years. The account pays 4.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €3004.2% / 12N = 300
FV = €
6.Hard
months0123…N = ?€10 000€175€175€175€1753.6% / 12

You borrow €10 000 at 3.6% per year, compounded monthly, and repay €175 at the end of every month. How many months does it take until the loan is repaid (the last payment may be smaller)? Give the number of payments N.

P = €10 000A = €1753.6% / 12
N = payments

Answer key

  1. 1. i = 4.249 %
  2. 2. i = 7.25 %
  3. 3. PV = 2918 €
  4. 4. PV = 16710 €
  5. 5. FV = 158779 €
  6. 6. N = 63 payments

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