I don't know about that. Living in Carmel gives you many more benefits than in the 'hood. Plus, when you decide to sell, you'll see appreciation of your property. Sure, it will cost more upfront, but you'll almost always see a return on your investment. Location, location, location.
FROM A PURE DOLLAR SPENT STANDPOINT.
I didn't address the indirect monetary and non-monetary opportunity costs, just the total outlay of monies to put a maintain a roof over your head.