** Shares of data management services provider Computershare CPU.AX rise 1.5% to A$38.78

** Morgan Stanley lifts EPS forecasts by ~1.5% for FY25 and ~2% for FY26

** Corporate activity and transactional revenues in share plans are likely to slow, but rates are holding up, says MS

** Says CPU's corporate trust issuance was at record levels in March quarter

** MS says CPU can manage market volatility

** Trims price target by 5% to A$34.70 citing higher uncertainty, maintains "equal-weight" rating

** Stock up 13.8% YTD

(Reporting by Kumar Tanishk in Bengaluru)

((Tanishk.Kumar@thomsonreuters.com; X: @thatstanishk http://www.x.com/thatstanishk))