How Does a Mortgage Calculator Work?
A mortgage calculator uses the standard Equated Monthly Installment (EMI) formula to determine how much you will pay each month to fully pay off your home loan over a specified period. The calculator takes into account your principal loan amount (Home Price minus Down Payment), the annual interest rate, and the duration of the loan.
The Mortgage Calculation Formula
The underlying mathematics used to determine your fixed monthly payment is:
$$M = P \frac{r(1+r)^n}{(1+r)^n - 1}$$
- M = Total monthly payment
- P = Principal loan amount
- r = Monthly interest rate (Annual rate divided by 12)
- n = Number of months (Loan term in years multiplied by 12)