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…12€7 500FV = ?

You deposit €7 500 in a savings account that pays 3.5% interest per year, compounded annually. How much is in the account after 12 years? Find the future value FV.

PV = €7 500i = 3.5%n = 12
FV = €
2.Easy
years012n = ?€10 000€20 000

You deposit €10 000 at 5% 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 €20 000?

PV = €10 000FV = €20 000i = 5%
n = years
3.Medium
years0123…8PV = ?€10 000

You need €10 000 in 8 years. An account pays 4.8% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €10 0004.8% / 4n = 8
PV = €
4.Medium
years0123…8PV = ?€3 000€3 000€3 000€3 000

An annuity pays €3 000 at the end of each year for 8 years. The interest rate is 4% per year. Find the present value PV of the annuity.

A = €3 000i = 4%n = 8
PV = €
5.Hard
months0123…264€300€300€300FV = ?

You save €300 at the end of every month for 22 years. The account pays 7.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €3007.2% / 12N = 264
FV = €
6.Hard
months0123…84€15 000AAAA4.8% / 12, I = ?

A loan of €15 000 is repaid with equal monthly payments over 7 years at 4.8% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €15 0004.8% / 12N = 84
I = €

Answer key

  1. 1. FV = 11333 €
  2. 2. n = 15 years
  3. 3. PV = 6827 €
  4. 4. PV = 20198 €
  5. 5. FV = 192570 €
  6. 6. I = 2691 €

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