Grahame was educated at Harrow and followed this up by joining Dixon Wilson; chartered accountants, qualifying as an ACA in 1978. After a brief period operating in London Property he joined Laws the stockbrokers in Bristol in 1983, after several corporate changes including Allied Provincial, Greig Middleton and Gerrard he joined Rathbones in 2001 as an investment Director and remained here until his retirement in April 2017.

Grahame became a trustee in June 2017 and is a member of the Finance and Investment committee.