Entertainment mogul Jay-Z, who has been renovating a penthouse in Manhattan’s TriBeCa neighborhood, is moving from one high-reaching rental to another in Manhattan while he awaits the completion of that penthouse, according to the New York Post. Born Shawn Carter in Brooklyn, Jay-Z, 37, in November 2004 paid $6.85 million through his Brooklyn Projects LLC company to buy the penthouse in the 1929 brick building at 195 Hudson Street from ad exec Peter Arnell, according to public records. Since September 2005, Jay-Z has been renting a four-bedroom, 5 1/2-bath, 4,825-square-foot unit on the 76th floor of the north tower of the Time Warner Center, at 80 Columbus Circle, for a reported $40,000 a month. Now, however, the Time Warner Center unit, which owner and businessman Michael Hirtenstein bought in December 2004 through his 76B LLC company for just over $16 million, has just sold for $27 million, according to public records. The New York Times reported on Sunday that the buyer was billionaire Todd Wagner, who is the lesser known business partner of Dallas Mavericks owner Mark Cuban, although public records only show the name of a trustee for the buyer, which is called the Remington PH Trust. Jay-Z reportedly already has found some other digs, however, on the 89th floor of the 90-story Trump World Tower at 845 United Nations Plaza, just one floor above the unit that baseball star Derek Jeter bought in 2001 for around $10 million, according to the Post. It’s unclear who the owner is of the five-bedroom Trump World Tower unit that Jay-Z will be renting, but the Post reported last month that the mogul will pay about $65,000 a month for the 14-room condo, which has soaring ceilings, two fireplaces, five baths, two powder rooms, a gourmet kitchen, a library, maid’s quarters and views in all four directions.