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€10 000€10 770

An investment of €10 000 grows to €10 770 in 3 years with annual compounding. Find the annual interest rate i in percent.

PV = €10 000FV = €10 770n = 3
i = %
2.Easy
years0123…9PV = ?€5 000€5 000€5 000…

A foundation wants to pay a prize of €5 000 at the end of every year, forever. The fund earns 4% interest per year. How much must be invested today? Find PV.

A = €5 000i = 4%
PV = €
3.Medium
years0123…20€20 000FV = ?

You invest €20 000 at 2% per year with continuous compounding. Find the value FV after 20 years.

PV = €20 000r = 2%t = 20
FV = €
4.Medium
years012345€12 000FV = ?

You invest €12 000 at a nominal rate of 3% per year, compounded quarterly. Find the value FV of the investment after 5 years.

PV = €12 0003% / 4n = 5
FV = €
5.Hard
months0123…192A?AA€50 000

You want €50 000 in 16 years. You save the same amount at the end of every month in an account paying 7.2% per year, compounded monthly. Find the monthly deposit A.

FV = €50 0007.2% / 12N = 192
A = €
6.Hard
months0123…36€8 000A?AAA

A loan of €8 000 is repaid with equal monthly payments over 3 years. The interest rate is 2.4% per year, compounded monthly. Find the monthly payment A.

P = €8 0002.4% / 12N = 36
A = €

Answer key

  1. 1. i = 2.503 %
  2. 2. PV = 125000 €
  3. 3. FV = 29836 €
  4. 4. FV = 13934 €
  5. 5. A = 139.3 €
  6. 6. A = 230.5 €

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