(Reuters) -An affiliate of U.S. private equity major Blackstone has bought a 9.99% stake in India's Federal Bank via preferential equity shares and warrants for 61.97 billion rupees ($705.05 million), the Indian lender said on Friday. ($1 = 87.8950 Indian rupees) (Reporting by Manvi Pant; Editing by Janane Venkatraman) (The article has been published through a syndicated feed. Except for the headline, the content has been published verbatim. Liability lies with original publisher.)