How to Calculate the Future Value of Money?

You have deposited your $10,000 into an interest-earning saving account. The annual interest rate is 8%, and it is compounded annually. So in one year, your money will equal $10,800.

Here how you calculate it:

FV = PV(1+r)^N

In your case:

  • FV = ?
  • PV = $10,000
  • r = 0.08
  • N = 1
FV =10,000(1+0.08)^1
FV = 10,000 (1.08)
FV = 10,800 \$

Let's think that instead of one year, you deposit your money into an interest-earning saving account for two years with the same interest rate. Let's look at what happened at the end of two years:

  • FV = ?
  • PV = $10,000
  • r = 0.08
  • N = 2
FV = 10,000 (1 + 0.08)^2
FV = 10,000 (1.08)^2
FV = 10,000 (1.1664)
FV = 11,664 \$
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