Fair Depreciation: A Shapley Value Approach

Danny Ben-Shahar, Technion - Israel Institute of Technology
Eyal Sulganik, The Interdisciplinary Center, Herzliya

A BEJTE Topics article.

Abstract

We adopt the Shapley value approach to examine the fair allocation of the depreciation charges among the time periods of the asset's useful life. Essentially, the allocation under the Shapley value solution rewards each time period of the asset's useful life with a share of the earnings that corresponds to its "responsibility" in the earnings-generating process. The latter is thus consistent with the developments in accounting standards, which maintain that the depreciation and amortization methods should reflect the pattern in which the asset's economic benefits are consumed by the enterprise. We show that the Shapley solution always conforms to a set of fundamental accounting requirements such as the matching principle and the impairment test. Moreover, unless the asset is associated with constant revenues and/or extremely profitable investments, the Shapley value solution can never coincide with the prevalent straight-line depreciation method. Finally, we identify the family of earnings patterns for which the Shapley solution coincides with the equal surplus and the economic depreciation methods.

Submitted: October 27, 2008 · Accepted: December 30, 2008 · Published: April 29, 2009

Recommended Citation

Ben-Shahar, Danny and Sulganik, Eyal (2009) "Fair Depreciation: A Shapley Value Approach," The B.E. Journal of Theoretical Economics: Vol. 9 : Iss. 1 (Topics), Article 13.
DOI: 10.2202/1935-1704.1531
Available at: http://www.bepress.com/bejte/vol9/iss1/art13

 
 
 
 

ISSN: 1935-1704 ©1999-2009 The Berkeley Electronic Press™ All rights reserved.

To submit, subscribe, recommend this journal to your library, or sign up for email alerts, please visit: http://www.bepress.com/bejte