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€4 000FV = ?

You deposit €4 000 in a savings account that pays 7% interest per year, compounded annually. How much is in the account after 10 years? Find the future value FV.

PV = €4 000i = 7%n = 10
FV = €
2.Easy
years012n = ?€10 000€30 000

You deposit €10 000 at 3% 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 €30 000?

PV = €10 000FV = €30 000i = 3%
n = years
3.Medium
years0123€2 000FV = ?

You invest €2 000 at a nominal rate of 2% per year, compounded quarterly. Find the value FV of the investment after 3 years.

PV = €2 0002% / 4n = 3
FV = €
4.Medium
years0123PV = ?€40 000

You need €40 000 in 3 years. An account pays 5% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €40 0005% / 4n = 3
PV = €
5.Hard
months0123…72€25 000A?AAA

A loan of €25 000 is repaid with equal monthly payments over 6 years. The interest rate is 6% per year, compounded monthly. Find the monthly payment A.

P = €25 0006% / 12N = 72
A = €
6.Hard
months0123…60€12 000A?AAA

A loan of €12 000 is repaid with equal monthly payments over 5 years. The interest rate is 4.8% per year, compounded monthly. Find the monthly payment A.

P = €12 0004.8% / 12N = 60
A = €

Answer key

  1. 1. FV = 7869 €
  2. 2. n = 38 years
  3. 3. FV = 2123 €
  4. 4. PV = 34460 €
  5. 5. A = 414.3 €
  6. 6. A = 225.4 €

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