Grahame graduated from City University in 1991 with a First Class BSc. Honours degree in Property Valuation and Finance. In 1994 he founded and began trading as Epoch Software (now Epoq Group). In 1996, in conjunction with Richard Cohen, development began on the Desktop Lawyer® CD-ROM, which was launched in 1997. Since then, Grahame has been focusing the company and its resources on the continuing development of its Rapidocs® document automation software and Epoq's technology platform for the delivery of legal services. Along with Richard Cohen, Grahame has been a regular speaker for the English Law Society, Scottish Law Society, American Bar Association, Society for Computers and Law and private seminar organisations.

His role encompasses the conceptualisation of new products and building relationships with Epoq's clients. Grahame is also responsible for managing Epoq's partnerships in the USA, whilst ensuring the continuity of Epoq Group's strategic direction.