Optimal smoothing of accounting earnings

Optimal smoothing of accounting earnings

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Article ID: iaor200128
Country: United Kingdom
Volume: 10
Issue: 1
Start Page Number: 1
End Page Number: 14
Publication Date: Jan 1999
Journal: IMA Journal of Mathematics Applied in Business and Industry
Authors: ,
Keywords: accounting
Abstract:

Accountants seeking to estimate the profitability of a firm via the calculation of earnings utilize information about the number and current lifespan of unfinished activities by incorporating a smoothing device – depreciation – into their calculations. This paper considers a firm in steady state, carrying out a large number of similar activities with random starts and completion dates. By developing a stochastic model for the firm's activities, a difference equation for the minimum-variance smoothing function is obtained. This can be solved explicitly in the case of a periodic Poisson process of start times and independent exponential durations and is a variant of declining-balance depreciation.

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