Monthly Mortgage Payments

Do monthly mortgage payments equal the stream of identical payments over the life of the mortgage that yields a PV that is equal to the loan principal?

If so, this doesn't seem to take into account the interest that you are paying each month.

I am just having trouble seeing where the formula to calculate monthly mortgage payments comes from.

M = P * ( I/12 / (1 - (1 + I/12) ** -N)) where N is the number of payment months.

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