AI Summary. The authors propose that the divergence between rising US aggregate profit rates and falling financial market rates reflects a mismatch: national accounts measure returns on capital for all firms, while market rates capture the cost of capital for public firms only. They find public-firm profit rates halved while private-firm profit rates rose, averaging 10% above public firms.
Carter Davis, Alexandre Sollaci and James Traina Social Science Research Network 
Description automatically generated “…Why have US aggregate profit rates increased while financial market rates decreased since 1980? We propose a mismatch hypothesis: Profit rates in the national accounts track the return on capital for all firms, while financial market rates track the cost of capital for public firms only. We show public-firm profit rates halved since 1980, matching trends in financial markets and suggesting low market power. Mechanically, this residual private capital return series shows private capital returns had to have increased substantially to account for this secular break between aggregate and public firm profitability. The degree of this shift is significant: Private firms’ profit rates are on average 10% higher than public firms’ in the post-2000 period. Nonfinancial domestic private-firm profit rates doubled, suggesting high market power or risk. Size and sector differences cannot explain the divergence, though intangible-intensity might. Our results indicate substantial biases in extrapolating public-firm trends to the aggregate economy….”
The Evidence
Public-Firm Profits Have Fallen
“…Figure 8 shows the return on book capital with separate corrections for R&D and goodwill. This figure shows our adjustments make little difference to the series. Indeed, our results show book capital profit rates are decreasing and other results in this paper are robust are a variety of different treatments of R&D and goodwill. We show the book profit rates Rb for both the IMA data and the Compustat sample in Figure 9. The two series follow each other fairly closely until the mid 1990s, when the publicly listed firm book profit rate drops markedly below the IMA book profit rate. Since then, public firm profits have fallen relative to profits in the national accounts. Figure 9 illustrates the importance of using a representative sample of firms to measure the cost of capital. Since the profit rates of public firms are different from those of private firms, it is not appropriate to apply measures of the cost of capital from public firms to the aggregate economy, which includes private firms….”

“…One alternative to analyzing the return on book in public-firm and aggregate data is to impute the replacement value of capital in Compustat using information from the IMAs. The IMAs provide the replacement and book values of the aggregate capital stock. By assuming the ratio of replacement-to-book values is the same in Compustat, we can infer the return on capital R of publicly listed firms. This approach highlight the quantitative differences in the two profit rates and their secular divergence in recent decades The left panel of Figure 10 shows the ratio of the replacement value of capital to the book value for inventories; property, plant, and equipment (PPE); and intellectual property products (IPP). Since the replacement value is typically above the book value, most of these series are above one most of the time. We can use these three series to transform our book capital profit rates back into our profit rates from above with replacement capital values, assuming Compustat firms have the same replacement-to-book ratios as in the IMA data. The right panel of Figure 10 shows this replacement-to-book ratio from the IMA data, leading to the same conclusion as before: public company profit rates have fallen….”

Increase in Private-Firm Profit Rates
“…If there is no mismeasurement of foreign and domestic activity, this residual return constitutes the return on capital for private firms in the US. We label this the private return on capital, with the important caveat that this measure has issues of measurement of foreign vs domestic activity. Figure 14 shows these results. Mechanically, this residual private capital return series shows private capital returns had to have increased substantially to account for this secular break between aggregate and public firm profitability. The degree of this shift is significant: Private firms’ profit rates are on average 10% higher than public firms’ in the post-2000 period….”

Potential Causes of Divergence
“…The first hypothesis we consider is that Compustat overrepresents large firms, so perhaps the secular shift is just driven by changes in the profit rates of large firms relative to those of smaller firms. The second hypothesis we consider is that public and private firms generally operate in different sectors Our third hypothesis posits that the disparity in profit rates between public and private firms can be attributed to the relative concentration of intangible assets capital as intangible instead of physical. To investigate this theory, we will examine whether the difference in profit rates between firms that are heavily invested in intangible assets and those that have a lower concentration of such assets explains the gap in return on the capital between public and private companies….”
“…To understand exactly how representative public firms are of the aggregate economy, we plot the number of employees, as a fraction of aggregate employment, of various types of firms. We use both BDS and Compustat employment data to make the comparison. The left panel of Figure 16 shows the employment share of primarily goods-producing (instead of primarily service-providing) Compustat and BDS firms. The BDS series shows goods production has declined in aggregate in terms of employment shares. The Compustat series shows this decline has been less pronounced for public firms. The right panel of this figure shows the fraction of employment of mega-firms in the economy overall (see the BDS series) and the fraction of public mega-firm employment from Compustat. Note that a fairly stable 30% of aggregate employment is at mega-firms, while 80% or more of total public-firm employment is at mega-firms. Unsurprisingly, Compustat is not representative in terms of sector or firm size…”

“…Figure 17 combines the weights from 16 and shows neither the firm size nor sectoral composition hypotheses alone can explain the public and private firm mismatch. The left panel shows the rewighted Compustat book returns for both the goods and services sectors. The service sector has lower returns than the goods sector, so the over-representation of goods-producing firms in Compustat means the public and private firm mismatch is all the more puzzling. The right panel shows the reweighted book returns for Compustat mega-firms and other Compustat firms, revealing that mega-firm trend returns are higher than small-firm returns. Since public firms are disproportionately mega-firms, this also fails to explain the mismatch. Note the figure only shows public firm returns by sector and size because private firm returns are not freely available. Neverthless, reweighting suggests that neither size nor sectoral composition alone can explain the divergence in profit rates of public and private firms–otherwise we would expect to see the same divergence in trends between those groups within public firms….”

“…To determine if the trend of the public-private mismatch is influenced by firms that are heavily invested in intangible assets, we compared the return on capital of firms with R&D to book capital ratios above the median to those with lower ratios. The results, depicted in Figure 18, reveal there is no significant difference in returns on capital between the two groups of firms. This suggests the discrepancy in the concentration of intangible assets between public and private firms is not a driving factor behind the public-private return on capital mismatch….”

The Brass Tacks
“…In the US, aggregate profit rates have increased while financial market rates have decreased since 1980. We call their gap the “puzzle rate” and its rise the “profit puzzle.” The profit puzzle has led to suggestions that rising markups, risk, or intangible capital are contributing factors. In this paper, we propose an alternative hypothesis: Profit rates in the national accounts track the return on capital for all firms, while financial market rates track the cost of capital for public firms only. The capital profiles of public and private firms differ and vary over time, which can lead to financial market rates misrepresenting the cost of capital faced by a representative firm. Supporting this view, there is a large literature in asset pricing documenting higher returns for private firms compared to public firms. We call thisexplanation the “mismatch hypothesis.” To test our hypothesis, we analyze data on public-firm profit rates and find they have halved since 1980, matching trends in financial markets. Our results are robust to assumptions about the capitalization of R&D and goodwill, as well as the measurement of capital stocks at book or replacement value. When adjusted for differences in depreciation and tax rates, we find a tight link between the return on and cost of public-firm capital. The puzzle rate for public firms is small and well within statistical discrepancy. Hence, we view the mismatch hypothesis as a promising solution to the profit puzzle. Subsetting to nonfinancial domestic firms so we can compare Compustat and the IMAs, we estimate public firms represent 60% of the capital stock. Inferring from the residual, we find private-firm profit rates moved in lockstep until 1980, when they diverge. Private-firm profit rates are now over twice as high as public-firm profit rates. We show this secular shift is not driven by differences in the representation of size or sector of public-firms, though intangible-intensity offers a promising direction for future research….” Carter Davis, Alexandre Sollaci and James Traina, “Profit Puzzles,” Kelley School of Business Research Paper, February 1, 2023, https://papers.ssrn.com/sol3/papers.cfm?abstract_id=4015573
Steve Comment: had a few questions about your “Profit Puzzle” paper. I’m sitting here looking at Figure 14 and find the results really surprising. Could the divergence btw private and public firm profits (given your using return to capital) largely be a function of the lower capital the intensity of private service firms? I’m shocked at the public firm series. I would have thought that would have had an upward slope given US firms’ international profits. Are taxes skewing this (Apple booking stuff in Ireland, etc)?
James Traina Comment: Thank you for reading! Capital intensity and tax differences are good hypotheses here. For the former, could you expand on what you have in mind? e.g. Are you thinking about physical vs financial capital differences? For the latter, we show in the “Solving the Puzzle” section that public vs aggregate tax rate differences are there, but they’re small and actually pointing the other way — they’re higher for public firms. That also relates to the rise of S-corps, which folks have attributed to tax advantages. The international dimension is much harder because we don’t have good data on it. Basically, there’s still a mismatch when we make our comparisons because “domestic” in Compustat means US incorporation, while “domestic” in the IMAs means US operation. It’s hard to say which direction this would bias our results. One thing that I find helpful to think about, but we didn’t fit into the paper: You can find the same kinds of results in *all* the standard profits / capital measures, e.g. ROA, ROIC, etc. So any explanation would have to work for all these measures jointly.
Steve Comment: Yes I have in mind firms of engineers, architects, or lawyers that have little physical or financial capital, but a lot of human capital. Could those firms be driving the high ROI of private firms relative to public? I’m genuinely curious about this, because it feels like a failure of economic efficiency to have private firms yielding so much more than public firms.
James Traina Comment: Ah yes, that’s possible! You’d need an accounting mismeasurement, though, where it doesn’t show up in labor income. You might be interested in this paper: https://bfi.uchicago.edu/insight/research-summary/the-rise-of-pass-throughs-and-the-decline-of-the-labor-share/ Public firms’ returns on the book value of assets are down ~ 50% from 1980 and private firms’ returns have doubled. @EconTraina @ASollaci @CarterDavisFin (135)