I think your math is a bit off...
2000 - 1936 = 64
The mentioned $15 outgoing wire fee is very likely included in that 64 difference. For as far back as I remember, outgoing wire fees are deducted from the amount you request: It's caveat emptor.
That leaves an unknown $49 difference. Remember, there are 2 sides to the transaction, outgoing and incoming... Fees can be charged independently on either or both sides (or neither). Plus, as mentioned by LuisHK, an intermediary may have been necessary which could incur intermediary fees.
To me, it looks like YOUR BANK has ridiculous incoming wire fees and costs, $49!... or there is intermediary/3rd-party involvement or some other details that you have not mentioned.
Caveat emptor. If you want 2000, you must account for outgoing and incoming wiring fees as well as fees/penalties associated with the cash source such as a time deposit, BEFORE you make a wire request.
Please post your followup findings.