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Umm, the AP MVP essentially is the NFL MVP considering the winner of the AP MVP is the person that is honored at the NFL Honors award ceremony the day before the Super Bowl.
Washington Post: The AP NFL awards, which essentially serve as the official league honors, will be announced on Feb. 6, a day before Super Bowl 50
Last paragraph in that link.
Also, other than Pro_bowl designation they are the only awards allowed to be used for contract bonus's . Another thing is that the AP voters have to have their votes in before the start of the playoffs so that post season stats are NOT used to determine the winner.