The effect of capitalization on financial return in periodic growth

Abstract

A capital return rate function for growth processes is introduced and applied to financial considerations in periodically growing multiannual plants. The capital return rate function is composed of a momentary capital return function, a probability density function in the time domain, and their integration over time or age. It is shown that the expected value of capital return rate within a single stand equals momentary capital return rate within an estate, integrated over an even distribution of stand ages. We distribute the capitalization to operative and non-operative capitalization. In the case of a low non-operative capitalization, financially sound operations favor relatively small amount of operative capital. In the case of a high, but constant non-operative capitalization, optimal practices correspond to those resulting in maximum sustainable yield. Appreciating non-operative capitalization favors small operative capitalization. Optimal rotation and operative capitalization are weak functions of increasing level of non-operative capitalization, even if they are strong functions of its increment rate. It is argued that large but non-appreciating non-operative capitalization, favoring practices corresponding to maximum sustainable yield, would not appear frequently. In summary, it is found that appreciation of non-operative capitalization dominates financially sustainable management practices.