Measure of Capital in Böhm-Bawerk's Flow Input Model

One of the shortcomings of Böhm-Bawerk's capital theory is his neglect of the compound interest rate in the calculation of the value of capital. However, this paper shows that the introduction of the compound interest rate itself may not invalidate his assertion that the increase of value of capital will lengthen the production period and thus decrease the interest rate, if there exists a sensible measure of the "roundaboutness", as is the case with Böhm-Bawerk uniform flow input model. The fundamental problem with Böhm-Bawerk is that the average production period cannot serve as a sensible measure of capital under a general time distribution with multiple parameters, contrary to his conjecture. An alternative measure of production period under less restrictive conditions is also suggested with a textual evidence.