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€10 000FV = ?

You deposit €10 000 in a savings account that pays 3% interest per year, compounded annually. How much is in the account after 11 years? Find the future value FV.

PV = €10 000i = 3%n = 11
FV = €
2.Easy
years0123…12€4 000€5 380

An investment of €4 000 grows to €5 380 in 12 years with annual compounding. Find the annual interest rate i in percent.

PV = €4 000FV = €5 380n = 12
i = %
3.Medium
years0123…10PV = ?€15 000

You need €15 000 in 10 years. An account pays 4.8% per year, compounded quarterly. How much must you deposit today? Find the present value PV.

FV = €15 0004.8% / 4n = 10
PV = €
4.Medium
years0123…9PV = ?€10 000+2.5%+2.5%…r = 8.5%

A property is expected to earn net rent of €10 000 next year. The rent is expected to grow by 2.5% per year forever. The required return is 8.5% per year. Find the value PV of the property today.

C1 = €10 000g = 2.5%r = 8.5%
PV = €
5.Hard
months0123…48€25 000AAAA3% / 12, I = ?

A loan of €25 000 is repaid with equal monthly payments over 4 years at 3% per year, compounded monthly. How much interest I is paid in total over the life of the loan?

P = €25 0003% / 12N = 48
I = €
6.Hard
months0123…72€15 000A?AAA

A loan of €15 000 is repaid with equal monthly payments over 6 years. The interest rate is 5.4% per year, compounded monthly. Find the monthly payment A.

P = €15 0005.4% / 12N = 72
A = €

Answer key

  1. 1. FV = 13842 €
  2. 2. i = 2.501 %
  3. 3. PV = 9308 €
  4. 4. PV = 166667 €
  5. 5. I = 1561 €
  6. 6. A = 244.4 €

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