WASHINGTON – A measure of US home prices rose 6.3 per cent in October compared with a year ago, the largest yearly gain since July 2006. The jump adds to signs of a comeback in the once-battered housing market.

Core Logic also said that prices declined 0.2 per cent in October from September, the second drop after six straight monthly increases. The monthly figures are not seasonally adjusted. The real estate data provider says the decline reflects the end of the summer home-buying season.

Steady price increases are helping fuel a housing recovery. They encourage more homeowners to sell their homes. And they entice would-be buyers to purchase homes before prices rise further.

Home values are rising in more states and cities, according to the report. Prices increased in 45 states in October, up from 43 the previous month. The biggest increases were in Arizona, where prices rose 21.3 per cent, and in Hawaii, where they were up 13.2 per cent.

The five states where prices declined were: Illinois, Delaware, Rhode Island, New Jersey, and Alabama.

In 100 large metro areas, only 17 reported price declines. That’s an improvement from September, when 21 reported declines.

Mortgage rates are near record lows, while rents in many cities are rising. That makes home buying more affordable, pushing up demand.

And more people are looking to buy or rent a home after living with relatives or friends during and immediately after the Great Recession.

At the same time, the number of available homes is at the lowest level in 10 years, according to the National Association of Realtors. The combination of low inventory and rising demand pushes up prices.

Last week, an index measuring the number of Americans who signed contracts to buy homes in October jumped to the highest level in almost six years. That suggests sales of previously occupied homes will rise in the coming months.

Builders, meanwhile, are more optimistic that the recovery will endure. A measure of their confidence rose to the highest level in six and a half years last month. And builders broke ground on new homes and apartments at the fastest pace in more than four years in October.