RoyaltyStat Blog

We can determine a present value of identifiable assets, including a present value of specific intangible assets, from knowledge about their (a) initial investment, (b) comparable operating rate of return, and (c) estimated useful lives. For this purpose, CAPM (capital asset pricing model) is inapplicable to determine comparable operating rates of return for intangible assets because CAPM is designed to estimate rates of return of traded equity shares, which reflect a stream of prospective dividends plus share price variation (capital gains or loss) during a certain period, and not a prospective stream of operating profits attributed to specific intangibles. For a given enterprise, streams of dividends and capital gains and their calculated risks (measured during a specified useful period) are unlikely to be discounted or capitalized by an operating rate of return attributed to intangible assets. Inter alia, intangible assets are not frequently traded in ask-bid exchange markets and subject to speculative capital gains.

We started (1988) in transfer pricing oriundo from academia, and the IRS dominant paradigm was forcing single point estimates of gross profit indicators in audit. This IRS practice included gross profit margin (expressed as a percent of net sales) for controlled inbound distributors, and gross profit markup (expressed as a percent of cost of goods sold (COGS)) for controlled outbound manufacturers. The Berry ratio (gross profits/operating expenses (XSGA)), introduced by Charles Berry in Du Pont, was an unspecified “fourth” method applied to service providers (like DISA) because they may not recognize labor costs in COGS. Functions performed are reflected in COGS and XSGA. See United States Court of Claims. E. I. Du Pont de Nemours and Company v. The United States, Nos. 256-66 & 371-66, April 18, 1978. (Cite as: 1978 WL 3449 (Ct. Cl. Trial Div.)). 

The OECD, UN, and United States transfer pricing rules recognize that tax administrations and controlled MNE (multinational enterprise) groups must consider location savings adjustments when uncontrolled comparable enterprises operate in different geographical markets from the tested party. Location savings adjustments are needed when we can measure (in different geographic markets; e.g., UK versus Nigeria or South Africa or US versus Brazil or Mexico) significant differences in wage shares and adopted technology measured by incremental capital/output ratios.

A practice in transfer pricing is to select a “net profit indicator” (such as operating profit margin or return on assets) and calculate quartiles among i = 1, 2, …, N selected enterprise-level comparables. This practice produces unreliable profit indicators that can’t survive audit scrutiny. A major fallacy of this practice is to estimate structural equations when reduced-forms should be estimated. In this blog, we discuss and solve this fallacy.

We discuss three contending transfer pricing models. Let P = “Net” profits, S = Sales, and A = Assets: For simplicity, we don’t consider profit markup on total costs, and exclude random errors:

In DuPont’s profit identity, “return on assets” (profit rate) is equal to profit margin multiplied by asset turnover. Using DuPont’s profit formula, combined with an assumption that profit margin and asset turnover (measures of economic performance and adopted technology) are independent, we showed on a prior blog that the coefficient of variation of return on assets is greater than of the profit margin. It follows that profit margin is more reliable (has a lower coefficient of variation) than return on assets. In science, coefficient of variation is an accepted method of determining the reliability of a selected variable.

Transfer pricing tax compliance is devoid of external CUP (comparable uncontrolled prices). Therefore, we must select (under the TNMM and under the Profit Split Method) the most appropriate “net” profit indicator (NPI) from comparable uncontrolled enterprises. Most appropriate is the most reliable among competing profit indicators. In economics and statistics, reliability is measured by the coefficient of variation (standard deviation / mean) of the selected variable.

Transfer pricing reports often lack valid economic principles, relying instead on ad hoc specification. This faulty practice is permitted by misconceived transfer pricing regulations based on the OECD model.

We analyzed the statistical relation between operating profits and net sales for a large group of US listed companies using RoyaltyStat®’s online database of company financials. The results of this study have led us to conclude that the OECD and US transfer pricing guidance on the comparable profits method (TNMM) does not produce the most reliable measure of an arm’s length operating profit margin and that other more informed measures should be considered. Instead of simple regulatory prescription, we apply economics and statistics to reach these conclusions.

In transfer pricing, a frequent “comparability adjustment” to (gross or operating) profits involving inventories is spurious. The OECD is wrong disseminating misconceived guidance about “working capital” adjustment that includes inventories. The inventory adjustment to profits is bogus because inventory is included in cost of goods sold (COGS); thus, the same inventory variable appears on both sides of the adjustment equation, making the proposed adjustment false. Follow at your peril: OECD, Comparability Adjustments (July 2010), ¶¶ 16-17: http://www.oecd.org/tax/transfer-pricing/45765353.pdf 

The IRS has published similar argy-bargy: https://www.irs.gov/pub/irs-apa/study_guide_exhibit_d.pdf