Storyline to my horror/ghost story film

The story starts with three sisters living together, getting along perfectly fine. It is not obvious to the audience but it is hinted that one of the sisters is plotting a sinister plan. Suddenly to the family, the sister named Lucy commits suicide by hanging herself, or so the audience thinks. Years later the sister named Sophie is subtly haunted by what seems to be a ghost and leaves creepy clues around the house regarding her sisters death. The ghost is Lucy and she is trying to unveil the real facts about her death and, shockingly to the audience, Sophie finds she did not commit suicide but she was murdered by the third sister!