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In comparison, home prices nationally in May were up 1.2 percent from April and up 6.6 percent from May 2016.
The national mortgage delinquency rate was also down in March.
But Connecticut's negative and near-negative equity levels are higher than the national averages.
New York had the largest cash sales share among the states, at 47 percent.
Connecticut's figures were essentially on par with the nation's.
The state's 18.4 percent was second only to Maryland at 19.4 percent.
The figures compared favorably with national figures, which CoreLogic said decreased by 29 percent.
The national cash sales number was down as well.
Nationwide, home prices increased on both year-over-year and month-over-month bases.
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