A remark on static hedging of options written on the last exit time

In this paper, several different static hedges of the option written on the last exit time are given. One of them was originally presented in Akahori et al. (Methodol Comput Appl Probab 11(4): 661–668, 2009). Another one is derived from an expression in Madan et al. (Asia Pac Financ Mark 15(2): 97–115, 2008d). It is remarked in this paper that these static hedges are also obtained by applying a method in Carr and Chou (Hedging complex barrier options, 2001).