March 19th, 2013, 1:38 am
I guess you can make up any number of vaguely plausible definitions for terms like reverse barrier options, but the standard understanding is simply up-and-out calls and down-and-out puts. A down-and-out call where the barrier level is above the strike would have some of the characteristics of a reverse barrier option, in particular the possibility of unbounded delta, meaning that the option is cannot be replicated by a feasible trading strategy.