** Shares of Domain Holdings DHG.AX rise 1.1% to A$4.055

** Morningstar raises fair value estimate to A$4.43 from A$4.20, following improved buyout proposal from U.S. property data group CoStar CSGP.O

** Brokerage predicts 100% probability of proposal being accepted, based on unanimous decision by co's board and known willingness of major shareholder Nine Entertainment NEC.AX to sell business

** Morningstar adds that DHG's unique value to CSGP lies in potential cost reduction and margin boost by integrating DHG into CSGP's platform

** Stock up 60.3%, YTD

(Reporting by Kumar Tanishk in Bengaluru)

((Tanishk.Kumar@thomsonreuters.com; X: @thatstanishk;))