Francis Anthony Armstrong Carnwath CBE (26 May 1940 – 26 June 2020)[1] was a British banker and chairman of many arts and heritage organisations.

Francis Carnwath began his career with Barings Bank, rising to become a director.

He then served as Director of the newly created Greenwich Foundation for the Royal Naval College from 1997 to 2002, with the task of securing financial stability and readying the Palace buildings, vacated by the Royal Navy, for occupation by Greenwich University and Trinity College of Music.

He was the eldest of six children of the banker Sir Andrew Carnwath, KCVO, DL and his first wife Kathleen Marianne (née Armstrong).

Carnwath married Penelope Rose (they later separated); they had two daughters and one son.