Mortgage Mathematics -

M=Pr(1+r)n(1+r)n−1cap M equals cap P the fraction with numerator r open paren 1 plus r close paren to the n-th power and denominator open paren 1 plus r close paren to the n-th power minus 1 end-fraction = Total monthly payment P = Principal loan amount r = Monthly interest rate (annual rate divided by 12) n = Total number of payments (months) 2. The Amortization Process

The mathematics becomes more complex with . Unlike fixed-rate loans, ARMs use a variable mortgage mathematics

Mortgage mathematics is the study of the financial mechanics behind long-term property financing. While a mortgage may appear to be a simple loan, it is governed by the principles of , time value of money (TVM) , and compound interest . At its core, mortgage math seeks to determine how a fixed monthly payment can simultaneously pay down interest and reduce the principal balance over a set horizon. 1. The Foundation: Time Value of Money M=Pr(1+r)n(1+r)n−1cap M equals cap P the fraction with