Austin ranks in the top 13 cities nationally for fastest apartment rent growth since 2010 but that growth appears to be cooling as new supply comes on the market and low- to medium-tier housing faces an affordability ceiling, according to a recent analysis from RealPage Inc.

Austin has seen apartment rents jump 34 percent since 2010, when the market started to recover after the recession, RealPage found. The Texas capital trailed Atlanta, Fort Worth and Nashville, where rents have increased 35.1…

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