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…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 = €
2.Easy
years012345€2 500FV = ?

You deposit €2 500 in a savings account that pays 6% interest per year, compounded annually. How much is in the account after 5 years? Find the future value FV.

PV = €2 500i = 6%n = 5
FV = €
3.Medium
years01234PV = ?€20 000

You need €20 000 in 4 years. An account pays 5% per year, compounded monthly. How much must you deposit today? Find the present value PV.

FV = €20 0005% / 12n = 4
PV = €
4.Medium
years0123…18PV = ?€1 500€1 500€1 500€1 500

An annuity pays €1 500 at the end of each year for 18 years. The interest rate is 5% per year. Find the present value PV of the annuity.

A = €1 500i = 5%n = 18
PV = €
5.Hard
months01…36…240€200 000AB = ?A7.2% / 12

A mortgage of €200 000 is repaid with equal monthly payments over 20 years at 7.2% per year, compounded monthly. How much is still owed just after the payment at the end of year 3? Find the outstanding balance B.

P = €200 0007.2% / 12N = 240k = 36
B = €
6.Hard
months0123…72€30 000AAAA4.2% / 12, I = ?

A loan of €30 000 is repaid with equal monthly payments over 6 years at 4.2% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €30 0004.2% / 12N = 72
I = €

Answer key

  1. 1. PV = 25000 €
  2. 2. FV = 3346 €
  3. 3. PV = 16381 €
  4. 4. PV = 17534 €
  5. 5. B = 184993 €
  6. 6. I = 3991 €

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