Graham became Non-Executive Chairman in 2017 having previously held the position of Chief Executive of Miller from 2000-2016. He joined Miller in 1982 and was appointed to the Board in 1990.

Graham has held several senior industry positions, including two terms as a Director of the Council of Insurance Agents and Brokers (CIAB) Washington D.C., board member and Chairman of the London and International Insurance Brokers' Association (LIIBA) and President of the Insurance Institute of London. He is a Trustee of Lloyd's Charities Trust.