A projector includes: a projection unit; a position detection unit; and a calibration control unit which causes the projection unit to project a target image at a reference position within a projection range of the projection unit, acquires an operation position for the indicating operation detected by the position detection unit during the projection of the target image, and carries out calibration processing. The target image is projected, starting at the reference position located in a lower part of the projection range, of plural reference positions within the projection range.