Under the assumption of profit maximization, this article derives the first-order conditions for each banking firm by choosing two output quantities. Those optimal conditions together with the technical efficiency adjusted cost function and share equations form the system of five regression equations that is applied to a panel of data from Taiwan's banking industry for the period of 1981 to 1998. Evidence is found that both markets of investments and loans are characterized by significant strategic interaction and that Taiwan's financial liberalization, starting from 1991, has increased the degree of competition in the loan market. This appears to disprove previous studies in this area based on the assumption of perfect competition.