How to get clothsimulation into a keyfreamedanimation?

Heya BlenderArtists,

I’ve got a kind of tedious problem at the moment.
I am experimenting with a ghost character at the moment and it is required to have the movement of this ghost (which is basically a cloth being clothsimmed over a moving sphere) to be baked into keyframed animation.

Do you know any way to save out or bake clothsim into fbx-exportable animation?