You accumulate savings in two ways.
1) Each and every month a portion of your monthly mortgage payment gets applied toward your principal balance and as time goes on your balance reduces and as your balance reduces so does your interest. Admittedly, in the earlier years of your mortgage, this is not much, but given time, it does accelerate.
2) Homes typically appreciate every year (average approximately 5% – it will vary from year to year) and in some years may even depreciate (see Investment). History has shown us that owning a home is one of the very finest and secure financial investments that you can enter into.