I can't tell you about the V40 but I have installed a factory hitch on my 2000 V70. The instructions were great and easy to follow. Everything fit like a charm and no cutting needed. I did have to remove the bumber though.
As for wiring. It's a bit expensive but no hassles for the install. And you get all the pin-outs plus the by-pass to avoid the burned bulb light coming on.
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