Capital in the 21st Century: Chapter 6

In his sixth chapter of his Capital, Piketty investigates the evolution of the “Capital-Labor Split” throughout the 20th century. This ratio is determined by the so-called first law of capitalism–α = r * β–elaborated in the first chapter of the work. Here,  α corresponds to capital’s share of national income, thus conversely, labor’s share of income can be  simply determined by subtracting capital’s share from total income. That is to say, if capital’s share (α) is 35% of national income, than labor’s share of national income is 65%. The first observation that Piketty draws from his analysis of British and French data, is that capital’s share of nation income follows precisely the “U-Shaped” curve of the capital/income ratio (β), though in an attenuated form, “the depth of the U is less pronounced” (200). This attenuation, Piketty suggests, may be a consequence of the rate of return on capital (r), which, he suggests, “seems to have attenuated the evolution of the quantity of capital, β: r is higher in periods when β is lower, and vice versa, which seems natural” (200). Said otherwise–and drawing upon the second law of capitalism (β = s/g)–since growth (g) is inversely proportional to the # of years of capital stock (β), periods of high growth/low savings correspond to periods of high rate of return on capital (i.e. high profit). That is to say, you can’t have your cake [savings] and eat it too [profit].

Of course, at this point it is worth clarifying what is precisely meant by “capital’s share of income” versus labor. In general, Piketty attempts to group together all forms of non-wage income in order to determine capital’s share. In practice, this includes rents, dividends, interest, and other miscellaneous forms of profit. Of course, this figure fails to recognize non-wage labor whose return is entirely in the form of dividends or other non-wage remuneration. Piketty will offer, as an example, the time and effort put into portfolio management by managers in the financial sector. In order to compensate for this time and effort (labor), Piketty has subtracted a set portion of capital’s income to create a “pure rate of return.” “The pure rates of return obtained in this way are generally on the order of one or two percentage points lower than the observed returns” (206).

Having thus adjusted the rate of return, Piketty is able to chart historical trends. The results are startlingly stable. “In both France and Britain, from the eighteenth century to the twenty-first, the pure return on capital has oscillated around a central value of 4-5 percent a year, or more generally in an interval from 3-6 percent a year. There has been no pronounced long-term trend either upward or downward” (206). This stability (“or more likely this slight decrease of about one-quarter to one-fifth” [206]) will be central to Piketty’s argument later in the work, as it will constitute one of the key variables of his now famous inequality r > g, or, the rate of return on capital is higher than the rate of growth.

As a final note in this section of the chapter, Piketty next considers capital saturation. Whereas a certain quantity of capital is necessary for a functioning economy: with unlimited growth “saturation is eventually reached” (215). Simply, there is only so much land that can be worked, machinery that can be run, and houses that can be occupied. In such saturation scenarios–as predicted by the inverse relation of the rate of return (r) and capital stock (β) in his formula α = r * β–the rate of return tends to plummet. Conversely, if the rate of return on capital can be maintained during capital stock growth (or at least fall more slowly than capital stock grows) than capital’s share of nation income (α), can nonetheless grow during capital stock growth.

* * *


Common notation of the “Cobb-Douglas Production Function”

Shifting focus, Piketty spends much of the remaining chapter situating his theory among previous economic commentators. Most importantly, Piketty takes on the so-called “Cobb-Douglas production function.” This function supposed that capital maintained a constant share of national income (α). Piketty suggests that the popularity of this formulation may have been as ideological as it was scientific, as stability in capital’s share of income would suggest a certain level of social/class harmony. Yet, as Piketty notes, “the stability of capital’s share of income […] in no way guarantees harmony: it is compatible with extreme and untenable inequality of the ownership of capital and distribution of income” (218). Without moving through Piketty’s analysis of the various positions vis-a-vis this function, it is safe to say that his basic outlook is that economists from both side (liberal and Marxist) have failed to view capital’s share of income from a properly broad frame of reference (the consistent refrain of Piketty’s Capital).

Following Cobb and Douglas, Piketty next situates his analysis of the Capital/Labor split in relation to Marx’s theory of the falling rate of profit. Contrary to many leftist reviews of Capital, Piketty here offers a rather generous reading of this central Marxist notion. In particular, he recognizes that, for 19th century Britain, the notion of indefinite growth was unfathomable. Thus, it was only natural for Marx to posit a point when growth would flatline. Were such a flatline to occur, then Piketty’s formula–β=s/g— would predict infinite growth of capital stock–and a correlate crash in rate of return (r)–precisely the sort of apocalyptic failure that Marx predicted. But unfortunately for Marx–and fortunately for the capitalists–permanent structural growth now appears to be a very real possibility. Thus, while Marx’s thesis is mathematically sound, it nevertheless fails to account for the seemingly infinite growth potential of capitalist production. It is my hope to soon delve into Andrew Kliman’s (who you might remember from a few posts back) thoughts in this regard, who’s Reclaiming Marx’s Capital includes, among other things, a defence of Marx’s theory of the falling rate of profit. (For application to the recent economic crisis, see: The Persistent Fall in Profitability Underlying the Current Crisis: New Temporalist Evidence)

Setting up his next major section (which we will begin tackling in the next post), Piketty ends with the recognition that the West appears to be moving towards very low growth, “particularly zero or even negative demographic growth” (233). Thus, by his formulation, capital will continue to make a “comeback” in the upcoming years, easily achieving or even surpassing the capital/income ratio of 700-800%, common in the 18th and 19th centuries. “Modern growth,” he concludes, “has made it possible to avoid the apocalypse predicted by Marx and to balance the process of capital accumulation. But it has not altered the deep structures of capital–or at any rate has not truly reduced the macroeconomic importance of capital relative to labor” (234).


About jleavittpearl

Philosopher and Theologian out of Pittsburgh PA.

Posted on August 27, 2014, in Reviews, Thoughts and tagged , , , , , , , . Bookmark the permalink. 1 Comment.

  1. I’m reading “Capital” right now. Very long book.

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