SYDNEY (Reuters) -Australian home prices increased at the fastest pace in a year in September, driven by rate cuts and record-low listings, property consultant Cotality said on Wednesday. National home prices increased 0.8% to a record median value of A$857,280 ($565,462) in September, marking the strongest monthly gain since October last year, according to figures from Cotality, formerly CoreLogic. For the quarter, prices were up 2.2%, compared with a 1.5% lift in the second quarter. The monthly gain w ...