A lack of inventory and continued demand will keep sellers firmly in control of metro Denver’s housing market next year, but higher mortgage rates will make homes less affordable and keep a lid on future price gains, according to a forecast from Realtor.com. Metro Denver is expected to see a 12.5%increase in home sales next year, which ranks fourth highest out of the 100 metro areas examined, behind only Sacramento, Harrisburg, Pa., and Charlotte, N.C., according to the forecast released on Tuesday. But home prices — after revving at a 12.8% annual pace in October — will run a more modest 5.4% locally, ranking Denver 33rd on that measure, tied with Columbia, S.C. “The steadiness in mortgage rates in the first half of the year followed by the rise of mortgage rates in the second half of the year helps dampen some of the price momentum, as affordability becomes a bigger hurdle again for homebuyers,” said Danielle Hale, chief economist with the residential real estate portal, in an email. She forecasts U.S.