“…This means that these banks have a large technical gap between the metafrontier and group-specific frontiers. Chang et al, 2012;Fukuyama and Matousek, 2011;Fukuyama and Weber, 2010;Holod and Lewis, 2011;Liang et al, 2008 Desirable outputs (y 1 ) Amount of loans (unit: thousands NT$): the sum of short-term, medium and long-term loans Chang et al, 2012;Chen, 2012;Chen and Yang, 2011;Drake et al, 2009;Fukuyama and Matousek, 2011;Fukuyama and Weber, 2010;George Assaf et al, 2013;Hsiao et al, 2010 (y 2 ) Non-interest incomes (unit: thousands NT$): comprises service fees, commission incomes and other incomes Chen, 2012;Chen and Yang, 2011;Hsiao et al, 2010;Matthews, 2013 (y 3 ) Investment revenues (unit: thousands NT$): the amount of revenues earned on total other earning assets minus deposits Chen, 2012;Chen and Yang, 2011;Fukuyama and Matousek, 2011;Fukuyama and Weber, 2010 Undesirable outputs (y 4 ) Allowance for loan losses (unit: thousands NT$): a valuation account used to estimate the part of a bank's loan portfolio that will ultimately be uncollectible Chang, 1999;Drake and Hall, 2003;Fung and Cheng, 2004;Wang, 2014 The source of metafrontier inefficiency can be broken down into PTGI g and PTI g or OTGI g and OTI g . For instance, bank 6's MPE and MOE are 0.678 and 1.145, whereas the inefficiencies of MPE and MOE are 1-0.678 = 0.322 and 1.145-1 = 0.145.…”