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Non-additivity in Accounting Valuation: Theory and Applications

Paugam, Luc; Casta, Jean-François; Stolowy, Hervé (2018), Non-additivity in Accounting Valuation: Theory and Applications, Abacus, 54, 3, p. 381-416. 10.1111/abac.12125

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Type
Article accepté pour publication ou publié
Date
2018
Journal name
Abacus
Volume
54
Number
3
Publisher
Wiley
Pages
381-416
Publication identifier
10.1111/abac.12125
Metadata
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Author(s)
Paugam, Luc
Casta, Jean-François
Stolowy, Hervé
Abstract (EN)
This paper has three objectives. First, to introduce a theoretical solution to the issue of non‐additivity between assets in place, relying on an accounting‐based valuation approach. Second, to explain how such an approach can be implemented empirically by measuring synergies between assets. Third, to present the properties of this non‐additive valuation technique. We use Choquet capacities, that is, non‐additive aggregation operators, to measure the interactions between assets and apply our methodology to a sample of US 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 able to identify expected relationships between efficiency and future performance than a simpler approach based on the market‐to‐book ratio.
Subjects / Keywords
Choquet capacities; Goodwill; Growth options; Non‐additive accounting‐based valuation; Productive efficiency; Synergies; G39; M40; M41
JEL
G39 - Other
M40 - General
M41 - Accounting

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