Borrowology

How credit card interest is charged

Some cards charge interest every day. A simple monthly estimate divides the yearly rate by 12. Those are not the same bill.

2 minute read · Updated · Checked against the sources at the bottom · Short overview

The payoff engine on this site charges interest once a month at APR divided by 12, rounded to the cent, and then applies the payment. That is a deliberate simplification so avalanche and snowball can be compared on a shared clock. Many card agreements do something else. They state a daily periodic rate, often the APR divided by 365, and multiply it by each day’s balance or by an average daily balance over the cycle.

Those two procedures are close and not identical. A daily rate over 31 days is a larger fraction of the APR than one-twelfth, and February is smaller. An average daily balance also depends on when payments post, which one monthly balance cannot see. The statement’s interest charge is what you were billed. The monthly model is only the comparison clock.

Truth in Lending, through Regulation Z, requires creditors to disclose the APR and the method used to compute the balance. Average daily balance including new purchases and excluding them are different methods. A grace period usually disappears when you revolve. The disclosure is in the account-opening papers and on the statement.

Penalty APRs and promotional rates that expire sit outside the flat monthly model. Sorting on a teaser that is about to step up aims the extra payment at the wrong balance. The comparison charts use the monthly model so two orders share a clock. They are not a servicer’s interest subroutine.

Questions

Is APR divided by 12 the same as a daily rate times the days in the month?

Not exactly. APR divided by 12 is a monthly approximation. A daily periodic rate times the number of days, or times an average daily balance, is a different product and can differ by cents that accumulate.

Sources

  1. 12 C.F.R. § 1026.14 — Determination of annual percentage rate — Regulation Z, via the Electronic Code of Federal Regulations

Related

Educational reference only. Not financial or legal advice. Laws differ by country. A guide that cites a statute names that country.