Alpha/Beta Difference Equations and Their Zeta Transforms in Economic Analysis

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Abstract
Advantageous procedures in modeling, analyzing, and evaluating cash flow streams are possible with a new methodology described here. Modeling advantages are achieved through solutions to alpha/beta difference equations which have easily estimated parameters and a wide variety of linear and nonlinear series patterns for solutions. Marginal values and serial sums and averages facilitate regular or marginal analyses. When these solutions are given as time series, then zeta transforms of these series, with auxiliary developments, give discounted present values or a companion index of a specified finite series. Various applications serve to illustrate and verify the methodological procedures, as well as, demonstrate the analytical advantages.

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