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Benishayan Time Series as Models for Debt Processes Over Time.

The Accounting Review 1972 47(1), 116-133
This article provides a comparative evaluation of a model of debt phenomena which is more realistic, and more useful for the characterization of debt phenomena, than any available to date. Models which could serve as a good description of debt processes have not been available in the economics and business literature until the appearance of recent work on time series in general and on sales and debt processes. The number of debts incurred during a period may be likened to the number of births during a period. Total debts outstanding corresponds to the total people in the population. The payments of debts has its counterpart in deaths. A capsule comparison with a generalized inflowstock-outflow process would liken the total amount of debts coming into being each period to the water molecules flowing into a barrel, the debts outstanding in stock to the water molecules in the barrel, and the payments of debts to the water molecules flowing from the barrel. A Benishayan time series model was shown to provide a good replica of loan processes.