Thanks for posting those pics. The butt plate is probably a replacement, I think.
Here is an advertisement for Falkes sold by Vapen Depoten:
But I have never seen a stock with a "V" for "Vapen" as illustrated, or a butt plate with a "Z".
I doubt if it would have been economic for Vapen Depoten to change the stock. The Falke markings most likely disappeared when it was refinished.