I know this is an old thread but I thought I was seeing the same thing and thought I would ask.
The other day I noticed the AC current offset on my 87V was around .014 on the display. I mean the last two digits were consitently 14 regardless of range (0.014 A, 0.014 mA, 00.14 mA, 1.4 uA). The fact that the offset was always the same number of counts got me thinking there was something wrong with the meter. I couldn't seem to find anything to cause it. Shorting the leads, as was mentioned above, didn't take care of it. Moving closer or farther from power cords didn't seem to mater.
My first thought was perhaps something was wrong (I previously repaired this meter after an over voltage event). I checked with some other meters I could get my hands on as points of reference. A Fluke 27-II shows 1 count in the AC amps range, 2 counts in the AC-mA range.
I also checked a Fluke 189 (series 1). It shows a 45 count offset (it's a 50000 count meter).
Does anyone know what the story is here? It seems this is not a failure of the meter. Any thoughts?