That coat is fabulous, I just don't like the way she has it opened at the neckline. Silly.
I am wondering if it is a type of coat-dress and if it is actually designed to sit so. It does not look that the sleeves are pulled down to cause the neckline to gape, so I would say that even if there is another button the result would still be a bateau neckline with collar. It is very nice, very unusual how the colours fade from dark blue to blue to grey.