** Stock exchange operator BSE BSEL.NS rises 3.7% to 5,840 rupees, adding to 8.6% jump on Wednesday

** Goldman Sachs GS.N buys ~729,000 BSE shares for an avg of 5,504.42 rupees each, a 6% premium to Tuesday's close

** GS now adds 0.5% stake, per Reuters calculations

** Average rating of 10 analysts covering BSE is "buy"; median PT is 6,100 rupees - LSEG data

** Stock has gained 13.5% so far this week

(Reporting by Ashna Teresa Britto in Bengaluru)

((AshnaTeresa.Britto@thomsonreuters.com ; ( +91 8078332441))