The Architecture of Interest: An Analysis of 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 mortgage mathematics
The fundamental principle of any mortgage is that a dollar today is worth more than a dollar tomorrow due to its potential earning capacity. When a lender provides a lump sum (the principal) to a borrower, they are essentially "selling" the use of that money. The price of this service is the interest. The Architecture of Interest: An Analysis of Mortgage
To calculate the monthly payment for a standard fixed-rate mortgage, we use the : The price of this service is the interest
The mathematics becomes more complex with . Unlike fixed-rate loans, ARMs use a variable