Abstract
Keywords
Introduction
Since the 1950s, numerous political economists have established the empirical actuality of the ‘law of the tendency of the rate of profit to fall’ (LTRPF): that productivity-enhancing, labour-displacing technological innovation in the methods of commodity production exerts a downward pressure on the average rate of profit (ARP) of a capitalist economy. 1 This law is the culmination of Marx’s value-theoretical analysis and provides a comprehensive crisis theory that accounts for the economic malaise suffered by a number of capitalist economies since the 1970s (cf. Brenner, 2006).
While the present paper contributes to the body of literature that has empirically assessed the veracity of the LTRPF, it differs from other studies in its approach to specifying and estimating the value categories and ratios that Marx used throughout the three volumes of
This paper proceeds through four principal sections. First, value, capital and the value categories and ratios are introduced; second, the national income accounts, unproductive labour and fictitious capital are discussed in relation to the value categories; third, the Marxian LTRPF is outlined; and fourth, empirical results for the US economy are presented and summarized.
Value and Capital
For Marx, capitalism is a class-antagonistic mode of generalized commodity production and exchange in which the human capacity to labour is regularly bought and sold on markets with a view to profit making. As in any class-divided system, the exploitation of the labouring masses results in a ‘surplus product’ on which the ruling classes subsist. Under capitalism, the primary ruling class (capitalists) exploit a ‘property-less’ working class through the imposition of work and the extortion of surplus labour (Cleaver, 2019). Under capitalism, appropriated surplus labour, and thus the surplus product, assume the form of surplus value (the basis of monetary profit), the mass of which is equal to the value produced by the working class above and beyond the remuneration that they are paid (Marx, 1976).
Marxist political economic value theory is therefore concerned with the capital–labour relation as the socio-economic basis that structures market exchange. Economic value is equal to the quantity of ‘socially necessary abstract labour-time’ (SNALT) expended in the (re)production of a commodity, while prices reflect the exchange-ratios of commodities in monetary terms. In other words, ‘economic labour-value’ originates in production through the expenditure of human labour and then appears in circulation in its objectified form with a price-tag; value refers to the social practice of representing labour-time by money-prices (Mattick, 2018: 138, 153). The relationship between value and price at the aggregate level is a precise one (as an equality of aggregates) but imprecise at the level of individual commodities and market prices (Foley, 2013: 7). The market prices of individual commodities are established by a variety of factors like supply and demand; but prices nonetheless tend to gravitate towards their social anchor in labour value.
While economic reproduction is a unity of the production and circulation of value, circulation is
For Marx, capital is not a thing but a social relation: it is ‘value-in-motion’. Capital must therefore be understood as involving the continual bringing together of (1) the means of production as monopolized by capitalists and (2) the expenditure of labour-power by workers. Marx represented this socio-economic process of capitalist reproduction as the ‘circuit of capital’: M–C (LP&MP) . . . P . . . C^–M^. Here, money (M) is advanced to purchase two types of commodities (C): labour-power (LP) and means of production (MP). LP and MP are combined in a production process (P) to create a new output commodity of greater value (C^); when sold at its value, this output commodity realizes a greater sum of money (M^) than the initial sum invested (M). Hence, the difference between C and C^ and, further, between M and M^, is surplus value.
Operationally, the Marxian circuit of capital and law of value amount to the following: (1) productive living labour is the source of all new value and surplus value and (2) value exists as a definite quantitative magnitude at the level of the whole economy, setting limits on the value available for representation in such phenomenal categories as aggregate prices, profits, wages and so on (Smith, 1991, 2010, 2019). Accordingly, this creates a macro-economic identity that can inform an analysis of long-term economic trends: setting aside fictitious forms of capital (representing ‘anticipated future value’), total prices equal total values and total profit equal total surplus value (Foley, 2008; Mage, 1963: 14, 32–33; Smith, 2019; Smith et al., 2021).
The Value Categories
The gross labour product in value terms is equal to the sum of constant capital, variable capital and surplus value. The social capital or capital in general (constant capital + variable capital), is the unity of four spheres of operation: (1) production (the creation and transportation of ‘marketable’ or ‘social use-values’, i.e. exchange-values); (2) circulation (the distribution of ‘social use-values’); (3) social maintenance (the consumption of some ‘social use-values’ for purposes of social upkeep) and (4) personal consumption (the consumption of ‘social use-values’ by people) (Shaikh and Tonak, 1994; Smith et al., 2021).
Within Sphere 1, variable capital (v) is equal to the total portion of capital that is invested in the living wage-labour directed to produce surplus value within an exploitative labour process – that is, ‘productive’, rather than ‘unproductive’, living labour. Constant capital (c) – the means of production, including raw materials, tools, machines, built environments, energy and so on – is equal to the remainder of the total capital investment, which plays a vital yet
Constant capital has a twofold character: circulating constant capital (c or cf) considered as a value
US National Income Accounts in Value Terms: Unproductive Labour, the Temporal Modes of Value and Fictitious Capital
The value categories can and should be conceptualized in actual money terms that correspond to the behaviour of individual firms and that are recorded in the national income accounts (Freeman, 1991; Mage, 1963; Moseley, 1991; Shaikh, 2010; Shaikh and Tonak, 1994; Smith, 2010, 2019; Smith et al., 2021: 179). However, there are many complications that call into question the reliability of national accounting data. Despite these problems, the macro-economic price data in the national accounts represents a mass of commodities that can and should serve as a rough index for the total magnitude of homogeneous social labour-time expended in the production/circulation of this aggregate commodity output. So, with some finesse, it is possible to roughly estimate value magnitudes by arranging the data in the national accounts in accordance with the value categories as conceptually based on Marx’s law of value (Freeman, 1991: 3–4). 3 The point of this exercise is not to perfectly ascertain exact and unadulterated value magnitudes in the US economy proper, but rather to see what the available data ‘says’ about rough trends in the core Marxian ratios. It is important – even if only in a general, approximate sense – to map and interpret empirical trends in capitalist development because this can help to inform political-programmatic perspectives and goals (Smith, 2019: 278).
Variable capital is represented on this account by a specific portion of the US national income accounts category
The value categories form the core value ratios for Marx’s LTRPF. The relationship between surplus value and variable capital indicates the rate of surplus value (RSV): RSV = s/v. The relationship between investment in means of production (or ‘dead labour’) and investment in productive ‘living labour’ indicates the composition of capital – in particular, the OCC: OCC = C/(s + v). Formulating the OCC in this way depicts its clear-cut and determinative relationship with the ARP if the latter is formulated as ARP = s/C. 6
The Productive-Unproductive Distinction: ‘Systemically Necessary Unproductive Labour’
The productive-unproductive labour distinction was at the heart of classical political economy and orthodox national income accounting for nearly a century (Mazzucato, 2017). It was eventually displaced by the neoclassical approach to economic theory and accounting, which conceived
In the Marxian view, productive labour (PL) is physical and/or mental labour that is employed by a capitalist to produce use-values sold on the market for a profit (i.e. Sphere 1: social use-values which take the form of exchange-values) (Mage, 1963; Marx, 1963; Smith, 1991, 1993, 2019).
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In contrast, labour that does not produce surplus value is ‘unproductive’ due to the fact that it is
Unproductive labour (UL): labour services that are exchanged with revenue, that is, as a luxury expenditure on the part of the capitalist (such as domestic servants who work directly for the household that pays them).
Systemically necessary unproductive labour (SNUL): labour that does not directly contribute to the creation of surplus value but to its realization; such labour is employed by ‘unproductive capital’ (commerce and finance) and by the capitalist state (administration), as well as some of the labour employed by productive capital in managerial capacities.
Non-productive labour (NPL): forms of labour that capital does not recognize as value producing (like unpaid domestic, social reproduction labour).
Like PL and SNUL, UL and NPL are subjected to forms of exploitation. But, from the standpoint of the socail capital as a whole, both PL and SNUL directly supply systemically necessary labour and in doing so perform surplus labour on behalf of capital and are therefore exploited within the circuit of capital and circulation – albeit, in distinct ways. PL is exploited in production (Sphere 1) and SNUL is exploited in the spheres of circulation and social upkeep (Spheres 2 and 3). Just as productive capital makes a profit by not paying productive labourers a wage equivalent to the new value they produce, unproductive capital derives profit from not paying to their workers the full amount of value transferred from the sphere of production to the sphere of circulation through their activities (Marx, 1981: 407). In other words, although SNUL creates no surplus value, the unpaid portion of its wage allows for its employer to secure a share of the social capital’s mass of surplus value via the equalization of profit rates and sphere-to-sphere transfers of value (Sphere 1 to Spheres 2 and 3). In this sense,
When Marx distinguishes between productive and UL, he is not adopting the standpoint of the individual capitalist. After all, a cashier may be considered ‘productive’ of commercial profit because that wage-labourer is performing surplus labour that effects a transfer of new (surplus) value from the sphere of production to the retail sphere and to a commercial capitalist. From the standpoint of the social capital, a cashier is not a
The conception of SNUL as an absolute deduction from and/or a non-profit component of surplus value (e.g. Moseley, 1991; Shaikh and Tonak, 1994) is widely accepted despite the fact that not only do many SNUL workers perform surplus labour, but they also perform labour that is systemically necessary (Laibman, 1993: 228–232). As Mage (1963: 65) conveys, any reference in Marx to an ‘absolute deduction’ from surplus value is purely from the standpoint of the capitalist class themselves (i.e. ‘class-centric’) and certainly not from the standpoint of the social capital as a whole. If SNUL wages are treated as an element of surplus value, it falls outside of the circuit of capital; hence, to place it inside the circuit, it must be specified as either variable capital (representative of new value) or constant capital (representative of previously existing values).
Based on the pioneering work of Mage (1963), Smith (1991, 1993, 2019) proposes that the SNUL wage-bill of workers who are necessary for the system’s basic operations is most appropriately conceived as a ‘systemic overhead cost’ from the standpoint of the social capital. The qualitative difference between constant capital and variable capital refers to their distinct social functions and not to their physical attributes (Mage, 1963: 31). So, according to the Mage-Smith approach, and insofar as SNUL evinces an array of qualities more similar to constant than to variable capital, it ought to be treated as part of the former. It is undeniable that the means of production (such as a saw, a bundle of wood, or a conveyer-belt) are materially much different than living wage-labour, whether unproductive or productive. But it is a ‘fetishistic error’ to conceptualize Marx’s value categories based simply on the basis of the
The capitalist state is also viewed as a SNUL expense. The state functions as a ‘machine of social reproduction’, as its primary job is to uphold an institutional framework that supports and perpetuates the social conditions of valorization (Smith, 2019: 233–236). Accordingly, the majority of tax revenues is best treated as an element of the constant capital flow. It follows that variable capital and surplus value must then be measured after-taxation. Moreover, it should be noted that the state sometimes captures a portion of currently produced surplus value to expand the scope of its activities (Smith, 2019: 233).
In sum, many services, sales and governmental ‘social maintenance’ workers function as a unique form of constant capital, and therefore, their wages are most appropriately treated as a component of the constant capital flow, rather than as ‘part of’ or as an ‘absolute deduction’ from surplus value (such as in Shaikh, Moseley and others). This conceptualization allows for a more precise definition of variable capital and, in turn, a more accurate measure of the determinants of the ARP. Such a conceptualization is necessary because over the postwar period an asymmetry developed between the burgeoning SNUL sphere and the withering productive sphere, resulting in a hypertrophy of ‘systemic overhead costs’ (Smith, 1991, 1993, 2019). The growth in such overhead costs contributed somewhat to the sluggish economic growth and faltering profitability between the 1960s and 1980s.
The Temporal Modes of Value, Fictitious Capital and the ‘Normalization Procedure’
Just as the national accounts fail to distinguish between PL and UL, they also fail to distinguish between financial profits based on flows of new value (rooted in Sphere 1) and financial profits based on relations of credit and debt (i.e. ‘fictitious capital’ often manifesting as ‘fictitious profits’) (Smith, 2019: 274). According to Smith (2019: Chapter 10), Marx’s value categories have a temporal dimension, and therefore his (undeveloped) notion of fictitious capital (FC) must also be understood temporally – as anticipated
In temporal terms, constant capital, both its stock and flow components, correspond to past or PEV: value that has already been created by past forms of human labour. For example, machines, inputs, gathered raw materials, tools, buildings and so on are ‘dead labour’, embodying previously performed labour. Raw materials (cf) are purchased and consumed in production and reappear in the value of the final product, while assets like machines and buildings (C) see their value transferred to the new product gradually via depreciation. NV is equal to productive workers’ wages plus the value that these workers produce beyond their remuneration: NV = v+s. AFV, value that has yet to be produced and may never be, is based on relations of credit and debt. 8
As value under capitalism is measured (however unconsciously) by the yardstick of SNALT, FC is essentially money-capital seeking to enlarge itself through speculative claims on future income. AFV and FC enable an economy to appear much larger and faster growing than the non-financial assets and real output that underwrite it; so the prevalence of FC embedded in national accounting data can distort Marxian empirical estimates (Roberts, 2016; Smith, 2019). Sato (2015) argues that the best strategy for dealing with this distortion is to conduct a sort of disaggregation in an attempt to suppress ‘fictitiousness’ and, therewith, provide a more accurate estimate of surplus value and thus a more accurate measure of profitability.
Due to limitations with the data, the method used here can only be applied to the finance, insurance and real estate (FIRE) sector of the economy. This concession is nevertheless warranted because above-average volumes of FC specifically reside in the FIRE sector. Consequently, as the profit rate of the FIRE sector is normally higher than the prevailing rate in the rest of the economy, the FIRE rate needs to be equalized – or ‘normalized’ – with the latter rate. This ‘normalization procedure’, which is informed by Smith’s (2019) temporal modes of value approach and Marx’s law of the tendential equalization of profit rates, levels the profit rate in the FIRE sector with the non-FIRE profit rate (Smith et al., 2021). 9 As such, the difference between the FIRE sector’s mass of profits (Fp) and the FIRE sector’s ‘normalized’ mass of profits (nFp) can be considered a sort of rough proxy for FC:
To arrive at an estimate for a nFp, the ARP prevailing in the rest of the economy must first be calculated; then, this ‘non-FIRE ARP’ must be multiplied by the corresponding year’s FIRE assets (Fa):
Figure 1 highlights the approximate difference between the FIRE sector’s mass of profits prior to normalization (top line) and following normalization (bottom line) – thus, an approximation of FC imputed in the FIRE sector’s profit data is indicated by the ‘up/down bars’. As the production of NV becomes increasingly difficult, not only due to a rising OCC and falling ARP but also due to the growth in PEV relative to NV (due partly to a hypertrophy in SNUL and partly to the slowdown in capital investment in the productive sphere), an increasing reliance on AFV occurs and a growth in FC follows. According to Figure 1, the level of FC in the FIRE sector simmered up until the 1970s, swelling thereafter and exploding by the 2000s, peaking before the 2008 crash in 2005 and skyrocketing after the crash.

FIRE profits and ‘normalized’ FIRE profits: US economy, 1950–2020.
The LTRPF
As the principal goal of the capitalist system is the private appropriation of profit, the ARP – or the average return on invested capital – is the key regulator of capital accumulation, investment and economic health as a whole (Marx, 1981; Shaikh, 2016).
Contrary to Adam Smith’s beneficent ‘invisible hand’ metaphor, for Marx, the
The LTRPF is rooted in the contradiction between the micro-level and macro-level.
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On the micro
The LTRPF is offset by a number of ‘countertendencies’ that serve to undermine the rise in the OCC. The main countertendencies are: (1) increasing exploitation; (2) reducing wages below their value; (3) the cheapening of constant capital; (4) relative overpopulation and (5) foreign trade (Smith, 2010: 54–55). The capitalist state can also play a role in countering a falling ARP and, crucially, imperialism/neocolonialism often serves to raise profitability at the expense of other nations. The ultimate countertendency is the devaluation/destruction of capital due to the crisis event itself, which sets the stage for a new expansion phase through mass layoffs, bankruptcies and deflation, among other things. These countertendencies, however, do not nullify the LTRPF, as the law eventually overpowers them such that profitability tends to fall over the long run (Carchedi, 2018: 40; Marx, 1981: 349; Smith, 2019).
Accordingly, a rising rate of exploitation
In the Mage-Smith Marxist tradition, cyclical economic crises are understood as the outcome of a power struggle between the main tendency (a persistent rise in the OCC and downward pressure on the ARP) and a combination of various countertendencies (rising exploitation, cheap materials, etc.) that can temporarily curb falling profitability. New crises become increasingly difficult to recover from because new economic cycles occur at a higher level of accumulation and therefore at a higher OCC. As such, ‘supra-cycles’ or ‘long-waves’ are the outcome of a compilation and intensification of internal economic problems (high OCC, relatively low RSV, etc.) that force ‘external relief’ (i.e. a reliance on exogenous factors like unequal value transfers/imperialist exploitation) and tend to initiate structural transitions from one historical phase of capitalist development to another, such as the pre-war period, to the postwar monopoly period, to the neoliberal period, to the ‘era of fictitious capital’, and so on (Smith et al., 2021; also see Tapia, 2018). 13
None of this supposes that all crises under capitalism are purely economic in nature, nor does it mean that all economic crises are strictly precipitated by a falling ARP. Regarding the latter, there are several concrete and proximate factors that may possibly ‘trigger’ a crisis and therefore
Postwar Trends in the US Economy
The classical political economists recognized that the general level of aggregate profitability falls over time (Clarke, 1994; Roberts, 2016). The point of Marx’s LTRPF – what he called ‘the most important law of modern political economy [and the] most important law from the historical standpoint’ (Marx, 1973: 666) – was to provide an explanation for the persistent tendency of profitability to fall (Mage, 1963; Mandel, 1975; Marx, 1981; Smith, 2019). The goal of the present section is to assess the core postulates of the LTRPF by charting and interpreting some empirical trends in the postwar US economy.
Figure 2 measures the value flow of constant capital as a percentage of total output (cf/(cf + vf + sf)). Other things remaining equal, an increase in constant capital overhead costs (i.e. PEV) results in a relative reduction in NV added. A rise in the VCO is an epiphenomenon of the LTRPF that also serves to intensify the downward pressure on the ARP (Smith, 2010, 2019; also see Moseley, 1991). In Figure 2, the VCO rises steadily out of the war period and continues to rise through the crises of the 1970s and onward, dipping in 2001 before rising again and levelling off following the 2008 meltdown. Supplementary to Figure 2, Figure 3 depicts the ratio of SNUL to variable capital as another way to gauge this overhead cost. SNUL/v climbs out of the war period and picks up pace with deindustrialization in the 1980s, dropping sharply in 2001 and not surpassing its previous peak in 2000 until 2020 (at 195% of v).

The value composition of output: US economy, 1950–2020.

The ratio of SNUL to variable capital: US economy, 1950–2020.
Figure 4, the RSV (s/v), concerns the exploitation of specifically PL. The RSV falls leading up to the 1970s and rises dramatically with the onset of neoliberalism, continuing its ascent up to 2012 (at 122%) before declining for 4 consecutive years and levelling off thereafter.

The rate of surplus value: US economy, 1950–2020.
Figure 5 depicts the trends in the OCC and ARP where the former rises and the latter falls between 1950 and 1975. The OCC climbs steadily while the ARP zigzags before plummeting nearly 40% between 1966 and 1970. The OCC rises dramatically between 1978 and 1994, levelling off a decade later. The ARP simmers over the 1980s and reaches an all-time low in 1990 before undergoing two subsequent recoveries. The ARP nearly matches its earlier 1966 peak in 2006 before plummeting with the 2008 meltdown; it then rebounds in 2012 before another steep fall, followed by a timid recovery in 2018 before falling yet again leading up to the coronavirus pandemic. All in all, Marx’s (1981) hypothesis of a rising OCC and a falling ARP over the long run finds support in these empirical results.

The average rate of profit (lhs) and the organic composition of capital (rhs): US economy, 1950–2020.
These empirical results lend support to Smith’s (2010, 2019) thesis that a number of ‘core’ capitalist economies have succumbed to a sort of historical-structural crisis beginning in the late 1960s. Ultimately, this is a ‘historical-structural crisis of valorization’ characterized by two interconnected factors that contributed to the profitability crises of the 1970s and 1980s: (1) a rising OCC accompanied by a falling ARP and (2) a decline in the annual flow of NV relative to PEV due to a hypertrophy in constant capital systemic overhead costs (as reflected in a secular rise in the VCO). The ‘neoliberal response’ to the Great Stagflation of the 1970s served to arrest falling profitability and attempted to restore favourable conditions of valorization primarily through an extraordinary assault on real wage growth. Neoliberalism combined with an ongoing decline in corporate taxation, globalization (accessing cheap raw-material and labour markets) and the high-tech revolution (cheapening of the elements of constant capital in production) of the 1990s eventuated in a sharp rise in the RSV and a recovery in the ARP by the mid-1990s. However, this recovery was short-lived and relatively weak due to the high level in the VCO and, in particular, the OCC (which increased over 50% between 1967 and 1997). The ARP began to fall in 1998 and plummeted to its postwar low (8%) for a second time in the throes of the Dot-Com crisis of 2000–2001.
The persistent and fundamentally unresolved structural crisis of valorization that pushed the ARP into a relatively low range for an extended period paved the way for a colossal expansion of the financial system (Smith, 2019: 284). The growth of the financial system in the late-1990s and especially in the 2000s – what can be dubbed an ‘era of fictitious capital’ – adds an additional ‘third dimension’ to the twofold structural crisis of valorization outlined above: an increased reliance on the financial system and FC (i.e. AFV). The logical outcome of the evolution of this increasingly acute and now
The new depression-grade ‘twin-crisis’ that began in 2020 (or even in late 2019) could very well be worse than that of the 1930s. As of mid-2022, the financial house of cards continues to crumble in the face of persistent stagflation with significant geopolitical issues only intensifying the situation. While directing blame towards the pandemic and geopolitical conflicts in eastern Europe, the International Monetary Fund has warned that the world economy is again on the precipice of another crisis (IMF, 2022a). 14 However, it is clear that the pandemic and the NATO-Ukraine-Russia conflict are not the only factors. To truly understand the current and ongoing crisis, it must be put in conversation with the past.
Conclusion
This paper presented an approach to empirically operationalizing Marx’s LTRPF in relation to the US economy between 1950 and 2020 using national accounting data. The theoretical-methodological approach utilized here was based on the pioneering work of Mage (1963), followed by Smith (best summarized in his
Supplemental Material
sj-docx-1-crs-10.1177_08969205231160744 – Supplemental material for Profitability and Its Determinants: Operationalizing the ‘Law of the Tendency of the Rate of Profit to Fall’ in the US Economy, 1950–2020
Supplemental material, sj-docx-1-crs-10.1177_08969205231160744 for Profitability and Its Determinants: Operationalizing the ‘Law of the Tendency of the Rate of Profit to Fall’ in the US Economy, 1950–2020 by Joshua J. Watterton in Critical Sociology
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