ABSTRACT

Any stream of values whatsoever has a capitalized value, which may be regarded as a function of the rate of interest; this function may then be drawn out in the form of a curve. The best numerical definition for the crescendo of a stream of values is the rate of expansion of a stream, continuously expanding by the same proportion in every period, which has the same average period as the original stream. This rate of expansion is related to the average period by a simple formula. The average period turns out to be nothing else but an exact method of measuring the crescendo of a stream of values. The reader may find it rather surprising that an elasticity, usually supposed to be a pure number, independent of units, turns out to be equal to a length of time.