Wealth

Interest for a Number of Days

Simple interest on a balance for a short number of days.

How this number is made

Short-term interest, including a per-diem on a mortgage payoff, is usually simple interest: the annual rate times the fraction of the year. This page uses a 365-day year. Some notes use 360. The difference over a few weeks is small next to a wrong principal.

  1. Days are the days interest will actually accrue. Ask the servicer if you are paying off a mortgage.
  2. The rate is the annual rate on that balance.

Formula

Interest = principal × rate × days ÷ 365.

Worked example

With the figures already in the form, simple interest is $80.55.

Questions

Why might the payoff quote differ?

The servicer may use 360 days, include a recording fee, or start the count on a different day.

Does this compound?

No. Over a few weeks, compounding daily would add almost nothing at ordinary rates.

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