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
years01234567€4 000€6 860

An investment of €4 000 grows to €6 860 in 7 years with annual compounding. Find the annual interest rate i in percent.

PV = €4 000FV = €6 860n = 7
i = %
2.Easy
years0123…9€5 000€7 120

An investment of €5 000 grows to €7 120 in 9 years with annual compounding. Find the annual interest rate i in percent.

PV = €5 000FV = €7 120n = 9
i = %
3.Medium
years01234€20 000FV = ?

You invest €20 000 at 5% per year with continuous compounding. Find the value FV after 4 years.

PV = €20 000r = 5%t = 4
FV = €
4.Medium
years0123…9PV = ?€6 000+3%+3%…r = 7%

A property is expected to earn net rent of €6 000 next year. The rent is expected to grow by 3% per year forever. The required return is 7% per year. Find the value PV of the property today.

C1 = €6 000g = 3%r = 7%
PV = €
5.Hard
months0123…324€300€300€300FV = ?

You save €300 at the end of every month for 27 years. The account pays 6% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €3006% / 12N = 324
FV = €
6.Hard
months0123…60€8 000A?AAA

A loan of €8 000 is repaid with equal monthly payments over 5 years. The interest rate is 4.2% per year, compounded monthly. Find the monthly payment A.

P = €8 0004.2% / 12N = 60
A = €

Answer key

  1. 1. i = 8.011 %
  2. 2. i = 4.006 %
  3. 3. FV = 24428 €
  4. 4. PV = 150000 €
  5. 5. FV = 241964 €
  6. 6. A = 148.1 €

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