Former child star-turned-fashion mogul Mary-Kate Olsen and her rumoured fiance Olivier Sarkozy have purchased a new home in the Turtle Bay neighbourhood of Manhattan, New York for $13.5 million (£8.44 million). It's the latest property purchase for the couple, which bought another pad in Manhattan's East Village in 2012, but offloaded it less than a year later without ever having lived in it.