Convexity of Valuation Accuracy Function: Empirical Evidence for the Canadian Economy

Abstract

We investigated the benefits (more accurate valuations) obtained from the use of more specific measures, such as the use of specific price indexes, rather than a general price index, to approximate the current value of historical cost accounting numbers. We found the valuation accuracy function for the Canadian economy to be highly convex; that is, marginal gains in accuracy decline sharply as the specificity of price indexes increases. A few broad price indexes yield a relatively accurate valuation of assets, and little accuracy is gained by using more specific price indexes. These results are consistent with empirical studies conducted in the United States (Hall 1982; Sunder and Way mire 1983; Shriver 1986) and Australia (Tippett 1987).

These results suggest that Canadian standard setters may be able to achieve their objective of getting relatively accurate valuations for industrial assets by adopting a simple and verifiable price index methodology, rather than resorting to costly and complicated computations such as those required by Canadian Institute of Chartered Accountants (CICA) Handbook Section 4510.