You don't need to build equity in your home to do this. In fact, building equity in your home actually flies in the face of one of the most important principles of finance that has gotten a lot of attention in recent decades (after Harry Markowitz was awarded the Nobel Prize in Economics for his work in this area): diversification.
From a purely financial perspective, a home is one of the least diversified (and most illiquid, I might add) investments you can ever own. More than anything else, it truly is a case of "putting all your eggs in one basket."
Well that’s assuming that purchasing your home is your only investment. Many people who own their homes also own stocks, mutual funds, 401(k)s and even other real estate from which they derive rental income from.