Non-Additivity in Accounting Valuation: Theory and Applications

43 Pages Posted: 31 Aug 2017 Last revised: 28 Nov 2017

See all articles by Luc Paugam

Luc Paugam

HEC Paris, Accounting and Management Control Department

Jean-Francois Casta

University Paris-Dauphine - DRM Finance

Hervé Stolowy

HEC Paris - Accounting and Management Control Department

Multiple version iconThere are 2 versions of this paper

Date Written: August 29, 2017

Abstract

This paper has three objectives: (1) To introduce a theoretical solution to the issue of non-additivity between assets in place, relying on an accounting-based valuation approach; (2) To explain how such an approach can be implemented empirically by measuring synergies between assets; (3) To present the properties of this non-additive valuation technique. We use Choquet capacities, i.e., non-additive aggregation operators, to measure the interactions between assets and apply our methodology to a sample of U.S. firms from the Capital Goods industry. To operationalize our approach we examine the relationships between synergies – captured by Choquet capacities – and the market-to-book ratio (proxying for growth options), and show how interactions between assets are consistently linked to a firm’s market-to-book ratio. We also measure firm-specific productive efficiency relative to the industry and firm size. For large firms, efficiency, as defined by our approach, is positively associated with higher future operating cash flows. For small firms, efficiency is positively associated with higher future sales growth. We document that the non-additive approach appears to be better to identify expected relationships between efficiency and future performance than a simpler approach based on the market-to-book ratio.

Keywords: Goodwill, Non-additive accounting-based valuation, Synergies, Choquet capacities, Growth options, Productive efficiency

JEL Classification: G39, M40, M41

Suggested Citation

Paugam, Luc and Casta, Jean-Francois and Stolowy, Hervé, Non-Additivity in Accounting Valuation: Theory and Applications (August 29, 2017). Forthcoming, Abacus, HEC Paris Research Paper No. ACC-2017-1227, Available at SSRN: https://ssrn.com/abstract=3028779

Luc Paugam (Contact Author)

HEC Paris, Accounting and Management Control Department ( email )

1 avenue de la libération
Jouy-en-Josas, 78350
France

Jean-Francois Casta

University Paris-Dauphine - DRM Finance ( email )

Place du Maréchal de Lattre de Tassigny
Paris, 75775
France

Hervé Stolowy

HEC Paris - Accounting and Management Control Department ( email )

Jouy-en-Josas Cedex
France
+33 1 39 67 94 42 (Phone)
+33 1 39 67 70 86 (Fax)

HOME PAGE: http://www.hec.fr/stolowy

Here is the Coronavirus
related research on SSRN

Paper statistics

Downloads
101
Abstract Views
1,067
rank
296,326
PlumX Metrics