New Delhi, July 12 -- WASHINGTON - The median price of an existing home in the United States reached $440,600 in June, an all-time high, even as overall sales fell for a 36th consecutive month and available housing supply remained too thin to meet demand at any price point where most Americans can buy.

The National Association of Realtors reported Thursday that 4.09 million homes were sold at a seasonally adjusted annual rate in June, a 2.4 percent decline from May. Year over year, sales were up a marginal 0.8 percent, a figure that flatters the data because it benchmarks against June 2025, when the market was already at a near-historic trough.

Lawrence Yun, NAR's chief economist, attributed whatever activity exists in the market to rat...