Parts of the postmortem record is top secret , why? I think the bullet has went through his hands. The murder shoot Olof from the left side, it grazed Olof chest and then Olof put his hands on the chest when the pain comes or just a instinctive reaction. Then the killing bullet is fired from his back, through his hands he got on his chest.

Blue circles: left hand is bleeding.
Read circles: right hand is bleeding.
Black lines: the coat is stopping the blood to float out on the sides.
Brown circle: here the blood comes out through his mouth.