NEW YORK--(BUSINESS WIRE)--Lightyear Capital LLC (“Lightyear”), a New York-based private equity firm focused on financial services investing, announced today that investment funds affiliated with Lightyear have agreed to terms for the acquisition of Engage PEO (“Engage”), a professional employer organization providing HR outsourcing solutions to small and mid-sized businesses across the U.S. The company will continue to operate as Engage PEO, and the current management team will remain part of.