According to Persona 4 The Animation
's official website, a 90 minute film titled "Persona 4 The Animation -The Factor of Hope-" will be released on June 9th in 10 theaters in Japan. This film will be a condensed version of the anime that will contain new footage that wasn't shown earlier. However, unlike the anime, it will be edited to include the "true ending episode" that was to be released exclusively on the final volume of the anime's Blu-ray/DVD.
Source: Persona 4 The Animation official website
Story by QwaserRailgun
Persona 4 the Animation: The Factor of Hope