The 30-year-old Federer is trying to further cement his status as the greatest player tennis has ever seen. He is already the first man to play in eight Wimbledon finals, but a win on Sunday would give him seven titles at the All-England Club, tying him with Pete Sampras for the most of the open era.
A win over Murray would also extend Federer's record number of major championships to 17, a record that may never be broken. By beating Murray, Federer would win his first Grand Slam title since the Australian Open in 2010. That's a drought of more than two years and nine major tournaments.
As Novak Djokovic and Rafael Nadal have risen over the past two years, Federer has fallen off a bit. A title at Wimbledon, especially coming on the heels of an emphatic straight-sets win over Djokovic, would be huge.
For Andy Murray, the stakes are arguably even higher. To this point in his career, the 25-year-old Scotsman has been known as a guy who was simply born at the wrong time. He has had to battle guys like Federer, Nadal and Djokovic for years and has yet to capture a major championship.
Murray is already the first British man to reach the final at Wimbledon in 74 years and is trying to become the first citizen of the UK to win it since Fred Perry in 1936.
He is 0-3 in Grand Slam finals, having fallen at the 2010 and 2011 Australian Open and 2008 US Open finals. Murray holds an 8-7 head-to-head record over Federer, but that can be thrown out on Sunday. Previous stats and records don't matter once you're on Centre Court at Wimbledon.
Murray holds the hopes of a nation in his hands, and a win for him would reinvigorate interest in tennis in the UK. He would also instantly become one of the two or three most popular athletes in England. Everyone would know his name and would celebrate him as the man who finally brought the Wimbledon title home.
Both Murray and Federer have their legacies in their hands on Sunday. Whoever wins will be redefining how he is remembered by the sport.
It should be a incredibly entertaining and emotional final.