The 03A3 I believe was designed to fire M2 ball ammunition. M2 consists of a 150 grain, flat-based, pointed bullet with a muzzle velocity of roughly 2800 fps. Of course you wouldn't want to hunt with a pointed FMJ bullet, but if you can find a hunting round with a 150 grain, pointed soft point with a muzzle velocity around 2800 fps then your sights should be pretty close. If you go to the ammunition manufacturer's websites you should be able to find this information.
daveboy