▁an ▁adm iss ible ▁trad ing ▁strategy ▁pre cludes ▁un hed ged ▁short ▁sales ▁of ▁any ▁un bounded ▁assets . ▁ ▁A ▁typical ▁example ▁of ▁a ▁trad ing ▁strategy ▁which ▁is ▁not ▁adm iss ible ▁is ▁the ▁dou bling ▁strategy . ▁ ▁Mathemat ical ▁definition ▁ ▁In ▁a ▁market ▁with ▁ ▁assets , ▁a ▁trad ing ▁strategy ▁ ▁is ▁adm iss ible ▁if ▁ ▁is ▁almost ▁surely ▁bounded ▁from ▁below . ▁ ▁In ▁the ▁definition ▁let ▁ ▁be ▁the ▁vector ▁of ▁prices , ▁ ▁be ▁the ▁risk - free ▁rate ▁( and ▁therefore ▁ ▁is ▁the ▁disc ount ed ▁price ). ▁ ▁In ▁a ▁model ▁with ▁more ▁than ▁one ▁time ▁then ▁the ▁wealth ▁process ▁associated ▁with ▁an ▁adm iss ible ▁trad ing ▁strategy ▁must ▁be ▁uniformly ▁bounded ▁from ▁below . ▁ ▁References ▁▁ ▁Category : Math emat ical ▁fin ance <0x0A> </s> ▁The ▁New ▁York ▁City ▁Department ▁of ▁Cultural ▁Affairs ▁( DC LA ) ▁is ▁the ▁department ▁of ▁the ▁government ▁of ▁New ▁York ▁City ▁dedicated ▁to ▁supporting ▁New ▁York ▁City ' s ▁cultural ▁life . ▁Among ▁its ▁primary ▁miss ions ▁is ▁ens uring ▁ade qu ate ▁public ▁fund ing ▁for ▁non - pro fit ▁cultural ▁organizations ▁throughout ▁the ▁five ▁bor ough s . ▁The ▁Department ▁represents ▁and ▁serves ▁non - pro fit ▁cultural ▁organizations ▁involved ▁in ▁the ▁visual , ▁literary ▁and ▁performing ▁arts ; ▁public - orient ed ▁science ▁and ▁human ities ▁institutions ▁including ▁zo os , ▁botan ical ▁gard ens ▁and ▁historic ▁and ▁pres ervation ▁soci eties ; ▁and ▁cre ative ▁artists