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…11€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 11 years? Find the future value FV.

PV = €2 500i = 6%n = 11
FV = €
2.Easy
years012n = ?€5 000€10 000

You deposit €5 000 at 6% 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 €10 000?

PV = €5 000FV = €10 000i = 6%
n = years
3.Medium
years0123…9PV = ?€2 000+2.5%+2.5%…r = 6.5%

A property is expected to earn net rent of €2 000 next year. The rent is expected to grow by 2.5% per year forever. The required return is 6.5% per year. Find the value PV of the property today.

C1 = €2 000g = 2.5%r = 6.5%
PV = €
4.Medium
years0123456€5 000FV = ?

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

PV = €5 000r = 5%t = 6
FV = €
5.Hard
months0123…120A?AA€50 000

You want €50 000 in 10 years. You save the same amount at the end of every month in an account paying 2.4% per year, compounded monthly. Find the monthly deposit A.

FV = €50 0002.4% / 12N = 120
A = €
6.Hard
months0123…300€200 000AAAA6% / 12, I = ?

A loan of €200 000 is repaid with equal monthly payments over 25 years at 6% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €200 0006% / 12N = 300
I = €

Answer key

  1. 1. FV = 4746 €
  2. 2. n = 12 years
  3. 3. PV = 50000 €
  4. 4. FV = 6749 €
  5. 5. A = 369.1 €
  6. 6. I = 186581 €

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