“…It must be also said that profit efficiency requires not only technical efficiency and both input and output allocative efficiency (as does the cost efficiency), but also an appropriate scale. Thus, banks cannot be profit efficient if they are scale inefficient (Berger and Mester, 1997) 3 Giannola et al (1997), Giannola and Scarfiglieri (1998), Girardone et al (2004), Giordano and Lopes (2006), Giordano and Lopes (2012), Fontani and Vitali (2007), Dongili et al (2008), Battaglia et al (2010). 4 As shown by Lensink and Meesters (2012) and Wang and Schmidt (2002), the two-step approach suffers from the fact that the inefficiency is assumed to be identically and independently distributed in the main frontier equation, while it depends on other variables in the inefficiency equation.…”