Estimating Scale and Scope Economies with Fourier Flexible Functional Form – Evidence from Taiwan's Banking Industry

Abstract

In this study the scale and scope economies for Taiwan's banking sector using panel data from 22 domestic banks for the period 1981–1997 is investigated quantitatively using both a Fourier flexible functional form, first proposed by Gallant (1981, 1982), and a translog function. This study's results favour the use of the former, based on tests of regression coefficients and on estimates of various economy measures. The Fourier evidence shows that only smaller banks exhibit increasing returns to scale, while larger banks exhibit decreasing returns to scale. Conversely, the translog indicates that all the sample groups continue to enjoy economies of scale. Banks in Taiwan exhibit scope diseconomies, which suggest that sample banks should continue efforts to diversify their financial products, which in turn could substantially reduce their average costs.