Investigation of the elasticity of the price bubble functions

Exponential models are widely employed to model the alteration of the permanently growing product and hence of the growing capital. However, such models are not always fit for the practical use because of their insufficient accuracy and convenience. The growth of the product may be modeled with the uses of the logistic models. The logistic accumulation models more accurately reveal the dynamics of the population (i.e. the product) increase with in a longer interval of time. During the analysis of the capital dynamics the essential differences come into focus when performing the logistic discount of the cash flows or individual members. The paper offers an analysis of the elasticity of capital accumulation and the regressive price bubble functions. As it is known, the logistic functions allow for the estimation of scantiness of the growth resources. Furthermore, the scantiness of the growth resources (i.e. the scarcity of the growth reserves) has a considerable impact on the development of the capital. During the exploration of the logistic models it has been determined that with the exhaustion of the growth resources the productivity of the system increases. The mentioned alteration may be expressed by the exponential function. From the practical point of view it is important to find out the critical elasticity values of the discussed function.