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€500FV = ?

You deposit €500 in a savings account that pays 3.5% interest per year, compounded annually. How much is in the account after 3 years? Find the future value FV.

PV = €500i = 3.5%n = 3
FV = €
2.Easy
years0123…12€1 000€1 310

An investment of €1 000 grows to €1 310 in 12 years with annual compounding. Find the annual interest rate i in percent.

PV = €1 000FV = €1 310n = 12
i = %
3.Medium
years0123…9€2 000FV = ?

You invest €2 000 at 5% per year with continuous compounding. Find the value FV after 9 years.

PV = €2 000r = 5%t = 9
FV = €
4.Medium
years0123…9PV = ?€6 000+2%+2%…r = 8%

A property is expected to earn net rent of €6 000 next year. The rent is expected to grow by 2% per year forever. The required return is 8% per year. Find the value PV of the property today.

C1 = €6 000g = 2%r = 8%
PV = €
5.Hard
months0123…288€200€200€200FV = ?

You save €200 at the end of every month for 24 years. The account pays 7.2% per year, compounded monthly. How much have you saved at the end? Find FV.

A = €2007.2% / 12N = 288
FV = €
6.Hard
months0123…N = ?€8 000€375€375€375€3754.8% / 12

You borrow €8 000 at 4.8% per year, compounded monthly, and repay €375 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 = €8 000A = €3754.8% / 12
N = payments

Answer key

  1. 1. FV = 554.4 €
  2. 2. i = 2.276 %
  3. 3. FV = 3137 €
  4. 4. PV = 100000 €
  5. 5. FV = 153346 €
  6. 6. N = 23 payments

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