The Brazilian joins the Bundesliga champions from Barcelona on a season-long loan deal which includes an option to buy for €120 million (£109 million).
Bayern will pay Coutinho’s wages for the duration of his spell at the Allianz Arena in addition to coughing up £7.78 million to facilitate the move.
Eager to make up for a disappointing year-and-a-half with Barcelona, Coutinho spoke as if he has no intention of returning to his parent club during his official presentation in Munich.
“In Barcelona a lot of things did not turn out as we had imagined,” he said, per BBC Sport.
“But this is now history. I hope to stay here a long time and win many titles.”
Wearing the number 10 shirt freed up by the departing Arjen Robben, Coutinho will be hoping to match the high standards he set for himself at Liverpool.
The £142 million he fetched for the Reds upon his switch to Barcelona was arguably a just fee at the time – and that money helped shape the Jurgen Klopp’s side into what it is today.
Virgil van Dijk, Mohamed Salah and Alisson all arrived within the ensuing 12 months and excelled as Coutinho struggled at the Nou Camp.
Liverpool weren’t nearly as aggressive in the summer transfer window just gone, with Sepp van den Berg and Adrian being the only new signings.
However, amid fans crying out for further investment in the squad, it seems the Reds were actually considering bringing Coutinho back to Merseyside.
The reason they didn’t go ahead with it? The Anfield bank account was empty.
“It sounds a bit strange, but we could not afford it, we have already spent the cash that we got for him,” the German boss told Goal.
“We were reluctant to hand him over, but Barcelona forced us with money, so to speak,” he added.
“The move makes sense for both sides. He’s a super player and a great boy. He is a world-class footballer who can change games in the right environment.”
Klopp’s explanation is an intriguing one given the reigning European champions surely can’t be broke to the point where a loan move is unaffordable.
Then again, whether or not Liverpool would’ve re-signed Coutinho if the opportunity presented itself is up for debate.
Klopp and the Reds faithful might end up kicking themselves if the Bayern loanee ends up bossing the German top-flight this season.