What is a "Modified Logistic Growth Function"?
A monotonic growth function assumes that growth happens on a constant schedule. An example of monotonic growth is compound interest.Logistic growth involves a function that uses the base of the natural log, which is just a number approximately equal to 2.71828, modifying the function to account for growth that occurs at different rates during different time periods. The function is an equation having five components. The three most important of these are noted below
The first term modifies the normal growth in the early years to account for entrepreneurial change. The logistic constant sets an upper limit on how high early year growth may go. As a practical matter, most projects have a ceiling on the value that can be added. The acceleration factor determines how fast the early year growth occurs. This may be viewed as a measure of owner efficiency. In addition to inefficiency, slower Acceleration Factors may be the result of hostile business environments (government dealys, labor disputes, etc.). It is the combination of these that determins the investment return in the early years. The remaining terms in the function are e, the base of the natural log, and n, the holding period.