Notoremo, hasn't re-suggested so i thought i would go ahead & re-suggest.

Low End: 11 Buds (Veil & Pugilist) High End: 13 Buds (Offer)

Proof:

http://www.tf2outpost.com/trade/14258023 - Was traded for a Hearts Bonk Boy and a Hearts Trilby -- (~12.5 Buds)

http://www.tf2outpost.com/trade/14270132 - Was offered 1 bud, 200 keys, and a spectral max head, which was rejected -- (~13 Buds)

http://www.tf2outpost.com/trade/14876496 - Was then traded for a Hearts Veil (which used to be ~13.5 but very recently went down in price) + a Searing Puglist + Other sweets(?) -- (~11 Buds)

((The offer may have been taken not for profit but for the hat itself, as indicated by the rejected pure offer. Not that that matters, though)).

Unusual overpay is taken into account.