Shaka said that it should be about 60% the unit cost of an equivalent tank - various people went over to talking about the Pz III, but I pointed out that it was more of a Pz IV equivalent in many ways, as the 75-armed later workhorses together. Yes, the StuG III was based on the Pz III chassis, but this does not mean that they were equivalent - a large part of the entire TD concept was to be able to fit armament that outclassed what the chassis could use when constructed as a tank.
This seems to be the case in game as well, with the StuG III showing AT stats more in line with the Pz IV than with the Pz III.
This being the case, the cost difference between the StuG and its closer equivalent was larger IRL and is larger in game. IRL, the StuG was about 70% the cost - in game I can't remember off the top of my head, but it is certainly cheaper.