Brydon attended George Watson's College, before studying at the University of Edinburgh and graduating in Mathematical Science in 1967. During this time he was chairman of the University's Conservative Association alongside his fellow WatsonianMalcolm Rifkind, who was secretary. He was also elected President of Edinburgh University Union. Brydon remained in Edinburgh to teach at the University for three years after graduation.[2]
In 1977 Brydon began a 20-year career working at Barclays, during which time he became chairman and chief executive of the company's investment arm, BZW Investment Management.[3][4]
In 2004 Brydon was awarded a CBE for services to the financial industry.[6]
As chairman of the Royal Mail, whilst in office for a period of six years Brydon oversaw the controversial privatisation of the 499-year-old institution.[7][8][9]
He resigned from the Royal Mail Group in 2015 and became chairman of the London Stock Exchange Group.[10]