U.S. existing home sales fell more than expected in June as the median home price hit another all-time high, but improving supply and falling mortgage rates raised hopes that housing activity may rebound in the coming months. The total number of U.S. existing home sales in June fell 5.4 percent to an annualized 3.89 million, the lowest level since December, the National Association of Realtors reported Tuesday. Analysts expect home sales to slip to 4 million. Resale of homes, which make up a lar...