Sir Fred – dubbed “Fred the Shred” for his ruthless cost-cutting – has been at the centre of controversy over his £700,000-a-year pension.

He took early retirement after RBS almost collapsed as the credit crunch gripped world markets.

Police said they were alerted after security systems in the house activated at 4.35am.

A Lothian and Borders Police spokesman said: “We are aware that an organisation claiming to be responsible for the vandalism had made contact with media outlets and this also forms part of our inquiry.

“The force takes very seriously any planned attack on any individual or their property.

“We’ve been in contact with the owner of the property, who was not in the house at the time, and can confirm no one was injured.”

There was a notable police presence throughout the day at Sir Fred’s home as his damaged car was removed and broken windows replaced.

A spokesman for the banker said he would not be commenting on the attack.

It has been reported that RBS continued to pay for personal security for Sir Fred following his departure from the bank, including CCTV monitoring of his home.

An RBS spokesman said: “We are aware of the incident but it is a matter for police. There are security arrangements in place for Sir Fred, as is normal practice for departing executives.”

A neighbour, who did not want to be named, said: “I’m surprised that nothing has happened sooner, as there has been so much publicity.”