Case-Shiller's 20-city index decelerated from 21.2% to 20.5% in May.
Compared to April, the 20-city index grew 1.3% seasonally adjusted in May.
In May, S&P's 20-city index experienced the second highest growth year-over-year. During April, gains reached their peak.
Freddie Mac reported a 1.4% gain in its monthly report. The FHFA index grew 18.3% over the past year.
Miami, Tampa, and Dallas saw the largest growth in May among the 20 cities.
Prices grew 30.7% in the South and Southeast.
However, home prices still grew in Minneapolis, Chicago, and Washington.
A new trend of modest growth in home prices is being predicted by economists.
The 30-year fixed rate has increased dramatically since last year, averaging 5.54%.
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