Compounding Periods

Interest can be compounded annually, semi-annually, quarterly, monthly, daily, or on any other basis.[4] Compounding occurs when the interest is added to the existing balance and begins to earn additional interest.

Table 8: Compounding Periods
Compounding Periods n
Annually 1
Quarterly 4
Monthly 12
Daily 365


If you have an account that pays 12 percent interest per year, do you receive a single 12 percent interest payment each year?

  • Maybe, maybe not.
  • What if you are paid quarterly? You would get four 3 percent interest payments.
  • What if you receive interest once per month?
  • What if you receive interest daily?


Interest per period = annual interest rate/frequency


Table 9 shows the interest paid per period if the annual interest rate is 12 percent.

Table 9: Interest Paid per Period (12% rate)
Compounding Periods r/n
Annually 12 ÷ 1 = 12%
Quarterly 12 ÷ 4 = 3%
Monthly 12 ÷ 12 = 1%
Daily 12 ÷ 365 = .033%