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€4 000FV = ?

You deposit €4 000 in a savings account that pays 5% interest per year, compounded annually. How much is in the account after 12 years? Find the future value FV.

PV = €4 000i = 5%n = 12
FV = €
2.Easy
years0123…9PV = ?€8 000

You will receive €8 000 in 9 years. The interest rate is 4% per year, compounded annually. What is this amount worth today? Find the present value PV.

FV = €8 000i = 4%n = 9
PV = €
3.Medium
years0123…11PV = ?€3 000€3 000€3 000€3 000

An annuity pays €3 000 at the end of each year for 11 years. The interest rate is 3% per year. Find the present value PV of the annuity.

A = €3 000i = 3%n = 11
PV = €
4.Medium
years0123…16€5 000FV = ?

You invest €5 000 at 6% per year with continuous compounding. Find the value FV after 16 years.

PV = €5 000r = 6%t = 16
FV = €
5.Hard
years012345€6 000€6 000€6 000FV = ?

You deposit €6 000 at the start of every year for 5 years, the first deposit today. The account pays 7% per year. How much is in the account at the end of year 5? Find FV.

A = €6 000i = 7%n = 5
FV = €
6.Hard
months0123…N = ?€15 000€475€475€475€4756% / 12

You borrow €15 000 at 6% per year, compounded monthly, and repay €475 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 = €15 000A = €4756% / 12
N = payments

Answer key

  1. 1. FV = 7183 €
  2. 2. PV = 5621 €
  3. 3. PV = 27758 €
  4. 4. FV = 13058 €
  5. 5. FV = 36920 €
  6. 6. N = 35 payments

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