US home prices fell for the sixth month in a row in December, as rising mortgage rates pushed prospective buyers out of the housing market, according to the latest S&P CoreLogic Case-Shiller US National Home Price Index, released Tuesday.US home prices fell for the sixth month in a row in December, as rising mortgage rates pushed prospective buyers out of the housing market, according to the latest S&P CoreLogic Case-Shiller US National Home Price Index, released Tuesday.