Granted, the position of chief executive is a relatively modern phenomena, but I do think he has excelled in the position.
When you take a look around British clubs you would have to say that he is up there with the very best.
Where he is fortunate is that he is heading up a very strong team. Eric Reilly has complimented him off the park while on it you currently have the likes of Neil Lennon and John Park.
When you are in the kind of position that Peter is, you are always going to invite criticism from some quarters because you cannot please everyone all the time. Yet, I think there has been little for anyone to complain about.
Yes, it can be a fine line - there would have been flak going his way had Celtic not qualified for the Champions League group stage this term, but much of that also comes down to players perhaps not wanting to come to the club until they knew exactly what the situation with European involvement was.
But I think most supporters would accept he has helped to put the club on a sound financial footing.
Of course, the players and the management have done their bit too - and I go back to Gordon Strachan's era - with the club doing so well in Europe. The financial rewards for such achievements have been huge.
It was really when Strachan took over that Celtic recognised the need not to allow things like wage structures and transfer fees to drift out of hand.
Peter has to be applauded for striking the right balance. The club have spent money, they have been able to bring in quality players - but they have also done it in a way that has never put the long-term financial security of the club at risk.
And when you look at the changes that have engulfed Scottish football in the last decade, Celtic have come out of it all pretty well.
When things were better, they had the ability to withstand some pressure to gamble more money and the philosophy of bringing in good, raw, young players who can then be sold on further down the line has been hugely successful.
This summer you have Victor Wanyama - whom few people would have heard of before he turned up at Celtic - going to England for a big profit, while Gary Hooper too enabled them to make money.
Much of the credit for that goes to Neil and Park for identifying the players in the first place and then making them better.
But certainly I do think that the club have struck a sound balance.
During my time as manager, it would have been down to me to do all the negotiating in terms of transfer fees and wages. Nowadays we have this more Continental approach whereby the chief executive conducts that business.
It is a better way to do it because as a manager it means that you are not being bogged down all the time.
I am sure Neil and Peter will have private disagreements at times over what money is available and perhaps over individual situations, but they appear to compliment one another.
You could see just a few weeks back what getting into the groups of the Champions League meant to everyone at the club.
First and foremost that is about the football, about getting the chance to play against the very best. But it is means good news for the business side of the club and the manner in which Celtic are able to keep themselves in an enviable financial position.