Hong Kong’s lived-in home prices rose 1.3 per cent in September, logging their biggest gains so far this year and reaching their highest in more than a year, amid optimism that the residential market has bottomed out. The city’s rental prices, meanwhile, inched within a hair of their historical peak, data from the Rating and Valuation Department showed on Tuesday. The latest monthly increase in secondary home prices marks the sixth consecutive month in which the official index has either...