If you removed the barrel and the stock, you would have an A-III Sako action. In closing Jay, the model of your rifle is not an "A-III".
Sorry to have gone on like this Jay, yet accepting the status quo, defined by a few, is not constructive. But in this case and in general, I find it more credible than persons who dismiss the information as unreliable and not accurate, yet provide only what they have heard, seen, remember, owned, or, "what most here on the forum refer to", as definitive. Do I believe everything that I read? Of course not. This is just an example of numerous publications and articles written and/or published by major corporations, industry leading firearms references, firearms periodicals and authors. It also shows and describes the individual actions available for building a custom rifle on as, "Vixen (Short Action), Forester (Medium Action), Finnbear (Long Action). chart for 1986, Lists the models as: Hunter Deluxe Superdeluxe Fiberclass Carbine Fullstock Handy Fiberclass Handy Safari Target Varmint.
Stoeger/Sako rifle specification charts from 1986 show the following, "Actions are also known as A-1 = Short = Vixen = L461: AII = Medium = Forester = L579: AIII = Long = Finnbear = L61R: AV = Long = Finnbear = L61R". The AIV action identifier was used only for the magnum long action Safari Grade. AI, AII and AIII, AIV, AV are action length identifiers for short, medium and long actions during the early to mid Stoeger import era, and the models during that time were based on the stock configuration, such as Standard, Deluxe, Varmint, Carbine and Classic.