I was curious as to how many years this color was offered? I know it is hard to find.
I have a 1991 Fender catalogue and color #(8)57 (Surf Green) was still there for all 5 Vintage Series models: Stratocaster '57 and '62, Precision Bass '57 and '62, and Jazz Bass '62.
From a Frontline magazine (Summer 1992 issue), this
Fender model number is 019-0115-#color and was then named the
(USA) Vintage (or U.S. Vintage Series) '57 Precision Bass. The name was later changed (by 1998) to American Vintage '57 Reissue Precision Bass (with the same model number continuing onward to 2012).
Serial number V043xxx says:
year 1989, that spans numbers from V040000 to V050000, approximately. This should be confirmed by the pots dates, the neck date and the body date.
The original gold anodised aluminum pickguard has been swapped for a plastic one by a previous owner (and I would please restore the correct one, and with the tug bar).
See the description of the model showing the Surf Green color dates here:
The Official Fender Precision Bass Club (Part 8) | Page 140 | TalkBass.com
This website says the following colors were offered on the US Vintage Series models (all but the Telecaster '52 that was only in Butterscotch Blonde) for that same short period from late '80s to early '90s: Candy Apple Red, Daphne Blue, Fiesta Red, Ocean Turquoise, and Surf Green, in addition to more standard colors like 2- or 3-TSB, black, and OL white.
Actually, this short period is not limitative as I have an AVRI '62 Precision Bass in Fiesta Red that is dated 12/2000 (this color was discontinued again 01/2001).
Please note your bass has the P pickup with the flat pole pieces from the pre-1998 era (not the 57/62 Original Vintage PU with the beveled pole pieces that is found on 1998-2012 P's), and it is extremely difficult to find it separately.
That's a nice and rare find that you have made. Congratulations.
Are you a Club member yet?
The Official Fender Precision Bass Club (Part 8) | Page 140 | TalkBass.com
PS - It should look like this: