From June 2014 to June 2015, homes in Colorado appreciated 9.8 percent.That's a higher appreciation rate than any other state in the country, according to a new report by CoreLogic.

Nationally, homes appreciated 6.5 percent during that time span, according to CoreLogic, which is based in Irvine, California."The stronger appreciation was registered in cities with limited inventory and strong homebuyer activity, such as San Jose and Denver," said Frank Nothaft, chief economist at CoreLogic, in a statement.Zillow estimates that there are 16 percent fewer homes for sale in Denver compared with a year ago.