American Homes 4 Rent has a large portfolio of rapidly appreciating properties American Homes 4 Rent (NYSE: AMH) is a single-family rental real estate investment trust (REIT). To put that number into perspective, housing starts have been running at a 1.5 million unit annual pace, which represents about four years' worth of production. Equity Residential caters to affluent urban renters As a general rule, wages usually keep up with inflation, especially for workers with in-demand skills.