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€4 000€4 500

An investment of €4 000 grows to €4 500 in 3 years with annual compounding. Find the annual interest rate i in percent.

PV = €4 000FV = €4 500n = 3
i = %
2.Easy
years01234567€4 000€5 630

An investment of €4 000 grows to €5 630 in 7 years with annual compounding. Find the annual interest rate i in percent.

PV = €4 000FV = €5 630n = 7
i = %
3.Medium
years01234567PV = ?€40 000

You need €40 000 in 7 years. An account pays 6% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €40 0006% / 4n = 7
PV = €
4.Medium
years0123456€8 000FV = ?

You invest €8 000 at a nominal rate of 6% per year, compounded monthly. Find the value FV of the investment after 6 years.

PV = €8 0006% / 12n = 6
FV = €
5.Hard
months0123…96€200€200€200FV = ?

You save €200 at the end of every month for 8 years. The account pays 3% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €2003% / 12N = 96
FV = €
6.Hard
months01…144…360€250 000AB = ?A5.4% / 12

A mortgage of €250 000 is repaid with equal monthly payments over 30 years at 5.4% per year, compounded monthly. How much is still owed just after the payment at the end of year 12? Find the outstanding balance B.

P = €250 0005.4% / 12N = 360k = 144
B = €

Answer key

  1. 1. i = 4.004 %
  2. 2. i = 5.004 %
  3. 3. PV = 26364 €
  4. 4. FV = 11456 €
  5. 5. FV = 21669 €
  6. 6. B = 193681 €

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