The Non-Accelerating What Now Rate of Inflation

The NAIRU is back. Here’s Justin Wolfers in the Times the other day:

My colleague Neil Irwin wrote about this slow wage growth as if it were bad news. I feel much more optimistic. … It is only when nominal wage growth exceeds the sum of inflation (about 2 percent) and productivity growth (about 1.5 percent) that the Fed needs to be concerned…

Read that last sentence again. What is it that would be accelerating here?

The change in the wage share is equal to the increase in average nominal wages, less inflation and the increase in labor productivity. This is just accounting. So Wolfer’s condition, that wage growth not exceed the sum of inflation and labor productivity growth is, precisely, the condition that the wage share not rise. If we take him literally — and I don’t see why we shouldn’t — then the Fed should be less concerned to raise rates when inflation is higher. Which makes no sense if the goal is to control inflation. But perfect sense if the real concern is to prevent a rise in the wage share.

Unemployment and Productivity Growth

I write here frequently about “the money view” — the idea that we need to see economic relationships as a system of money flows and money commitments, that is not reducible to the “real” production and exchange of goods and services. Seeing the money-game as a self-contained system is the first step; the next step is to ask how this system interacts with the concrete activities of production.

One way to look at this interface is through the concept of potential output, and its relationship to current expenditure, or demand. In the textbook view, there is no connection between the long-run evolution of potential output with demand. This is a natural view if you think that economic quantities have an independent material existence. First we have scarce resources, then the choice about which end to devote them to. Knut Wicksell suggests somewhere an evocative metaphor for this view of economic growth: It’s as if we had a cellar full off wine in barrels, which will improve with age. The problem of economic growth is then equivalent to choosing the optimal tradeoff between having better wine, and drinking it sooner than later. But whatever choice we make, all the wine is already there. Ramsey and Solow growth models, with their “golden rule” growth rate, are descriptions of this kind of problem. Aggregate demand doesn’t come into it.

From our point of view, on the other hand, production is a creative, social activity. Economic growth is not a matter of allowing an exiting material process to continue operating through time, but of learning how to work together in new ways. The fundamental problem is coordination, not allocation.  From this point of view, the technical conditions of production are endogenous to the organization of production, and the money payments that structure it. So it’s natural to think that aggregate expenditure could be an important factor determining the pace at which productive activity can be reorganized.

Now, whether demand actually does matter in the longer run is hotly debated point in heterodox economics. You can find very smart Post Keynesians like Steve Fazzari arguing that it does, and equally smart Marxists like Dumenil and Levy arguing that it does not. (Amitava Dutt has a good summary; Mark Setterfield has a good recent discussion of the formal issues of incorporating demand into Kaldorian growth models.) But within our framework, at least it is possible to ask the question.

Which brings me to this recent article in the Real World Economic Review. I don’t recommend the piece — it is not written in a way to inspire confidence. But it does make an interesting claim, that over the long run there is an inverse relationship between unemployment and labor productivity growth in the US, with average labor productivity growth equal to 8 minus the unemployment rate. This is consistent with the idea that demand conditions influence productivity growth, most obviously because pressures to economize on labor will be greater when labor is scarce.

A strong empirical regularity like this would be interesting, if it was real. But is it?

Here is one obvious test (a bit more sensible to me than the approach in the RWER article). The figure below shows the average US unemployment rate and real growth rate of hourly labor productivity for rolling ten-year windows.

It’s not exactly “the rule of 8” — the slope of the regression line is just a big greater than -0.5, rather than -1. But it is still a striking relationship. Ten-year periods with high growth of productivity invariably also have low unemployment rates; periods of high average unemployment are invariably also periods of slow productivity growth.

Of course these are overlapping periods, so this tells us much less than it would if they were independent observations. But the association of above-average productivity growth with below-average unemployment is indeed a historical fact, at least for the postwar US. (As it turns out, this relationship is not present in most other advanced countries — see below.) So what could it mean?

1. It might mean nothing. We really only have four periods here — two high-productivity-growth, low-unemployment periods, one in the 1950s-1960s and one in the 1990s; and two low-productivity-growth, high-unemployment periods, one in the 1970s-1980s and one in the past decade or so. It’s quite possible these two phenomena have separate causes that just happened to shake out this way. It’s also possible that a common factor is responsible for both — a new technology-induced investment boom is the obvious candidate.

2. It might be that high productivity growth leads to lower unemployment. The story here I guess would be the Fed responding to a positive supply shock. I don’t find this very plausible.

3. It might be that low unemployment, or strong demand in general, fosters faster productivity growth. This is the most interesting for our purposes. I can think of several versions of this story. First is the increasing-returns story that originally motivated Verdoorn’s law. High demand allows firms to produce further out on declining cost curves. Second, low unemployment could encourage firms to adopt more labor-saving production techniques. Third, low unemployment might associated with more rapid movement of labor from lower-productivity to higher-productivity activities. (In other words, the relationship might be due to lower visible unemployment being associated with lower disguised unemployment.) Or fourth, low unemployment might be associated with a relaxing of the constraints that normally limit productivity-boosting investment — demand itself, and also financing. In any of these stories, the figure above shows a causal relationship running from the x-axis to the y-axis.

One scatterplot of course hardly proves anything. I’m really just posing the question. Still, this one figure is enough to establish one thing: A positive relationship between unemployment and labor productivity has not been the dominant influence on either variable in the postwar US. In particular, this is strong evidence against the idea the idea of technological unemployment, beloved by everyone from Jeremy Rifkin to Lawrence Summers. (At least as far as this period is concerned — the future could be different.) To tell a story in which paid labor is progressively displaced by machines, you must have a positive relationship between labor productivity and unemployment. But historically, high unemployment has been associated with slower growth in labor productivity, not faster. So we can say with confidence that whatever has driven changes in unemployment over the past 75 years, it has not been changes in the pace at which human labor is replaced by technology.

The negative relationship between unemployment and productivity growth, whatever it means, turns out to be almost unique to the US. Of the dozen or so other countries I looked at, the only one with a similar pattern is Japan, and even there the relationship is weaker. I honestly don’t know what to make of this. But if you’re interested, the other scatterplots are below the fold.

Note: Labor productivity is based on real GDP per hour, from the BLS International Labor Comparisons project; unemployment is the harmonized unemployment rate for all persons from the OECD Main Economic Indicators database. I used these because they are (supposed to be) defined consistently across countries and were available on FRED. Because the international data covers shorter periods than the US data does, I used 8-year windows instead of 10-year windows.

Three Ways of Looking at alpha = r k

Piketty’s “first law of capitalism” is the accounting identity

α = r k

where α is the share of capital income in total output, r is the average return on capital, and k is the aggregate capital-output ratio.

As accounting, this is true by definition. As economics, what kind of economic behavior does it describe? There are three ways of looking at it. 

In the standard version, the profit share is determined by a production function, which is given by technology. The profit rate r* required by capital owners is fixed by technology in combination with time preferences. In this closure, k is the endogenous, or adjusting, variable.  Investment rises or falls whenever the realized profit rate differs from the required rate, thus keeping k at the level that satisfies the equation for r  = r*

In Piketty’s version, r is fixed (somehow; the mechanism is not clear) and k is determined by savings behavior and (exogenous) growth according to his “second law of capitalism”: 


k = s/g

That leaves α to passively accommodate r and k. Capitalists get whatever the current capital stock and fixed profit rate entitle them to, and workers get whatever is left over; in effect, workers are the residual claimants in Piketty’s system. (This is the opposite of the classical view, in which wages are fixed and capitalists get the residual.)

In a third interpretation, we could say that α and r are set institutionally — α through some kind of bargaining process, or by the degree of monopoly, r perhaps by the interest rate set in the financial system. The value of the capital stock is then given by capitalizing the flow of profits α Y at the discount rate r. (Y is total output.) This interpretation is the natural one if we think of “capital” as a claim to a share of the surplus as opposed to physical means of production. 

This interpretation clearly applies to pure land, or to the market value of a particular firm. What if it applied to capital in general? Since claims on the surplus — including claims exercised through nonproduced assets like land — are not created by reserving output from consumption, aggregate savings would be a meaningless accounting construct in this case. (Or we could adopt a Hicksian view of saving in which it equals the change in net wealth by definition.) Looking at things this way also puts r > g in a different light. Suppose we think of the capital stock as a whole as something like the stock of a firm, which entitles the owners to the flow of profits from that firm. If the profits today are α Y and output is expected to grow at a rate g, what is the value of the stock today? If we discount future profits at r, then it is the sum from t=0 to t=infinity of α Y (1 + g)^t / (1 + r)^t, which works out to α Y / (rg). So if we can take the rate of return on capital as the discount rate on future profits, then r > g is implied by a finite value of the capital stock.

We shouldn’t ask what capital “really” is. It really is a quantity of money in a process of self-expansion, and it really is a mass of means of production, and it really is authority over the production process. But the particular historical questions Piketty is interested in may be better suited to thinking of capital as a claim on the social surplus than as a physical quantity of means of production. Seth Ackerman has some very interesting thoughts along these lines in his contribution to the Jacobin symposium on the book. 

Wealth Distribution and the Puzzle of Germany

There’s been some discussion recently of the new estimates from Emmanuel Saez and Gabriel Zucman of the distribution of household wealth in the US. Using the capital income reported in the tax data, and applying appropriate rates of return to different kinds of assets, they are able to estimate the distribution of household wealth holdings going back to the beginning of the income tax in 1913. They find that wealth inequality is back to the levels of the 1920s, with 40% of net worth accounted for the richest one percent of households. The bottom 50% of households have a net worth of zero.

There’s a natural reaction to see this as posing the same kind of problem as the distribution of income — only more extreme — and respond with proposals to redistribute wealth. This case is argued by the very smart Steve Roth in comments here and on his own blog. But I’m not convinced. It’s worth recalling that proposals for broadening the ranks of property-owners are more likely to come from the right. What else was Bush’s “ownership society”? Social Security privatization, if he’d been able to pull it off, would have  dramatically broadened the distribution of wealth. In general, I think the distribution of wealth has a more ambiguous relationship than the distribution of income to broader social inequality.

Case in point: Last summer, the ECB released a survey of European household wealth. And unexpectedly, the Germans turned out to be among the poorest people in Europe. The median German household reported net worth of just €50,000, compared with €100,000 in Greece, €110,000 in France, and €180,000 in Spain. The pattern is essentially the same if you look at assets rather than net worth — median household assets are lower in Germany than almost anywhere else in Europe, including the crisis countries of the Mediterranean.

At the time, this finding was mostly received in terms the familiar North-South morality tale, as one more argument for forcing austerity on the shiftless South. Not only are the thrifty Germans being asked to bail out the wastrel Mediterraneans, now it turns out the Southerners are actually richer? Why can’t they take responsibility for their own debts? No more bailouts!

No surprise there. But how do we make sense of the results themselves, given what we know about the economies of Germany and the rest of Europe? I think that understood correctly, they speak directly to the political implications of wealth distribution.

First, though: Did the survey really find what it claimed to find? The answer seems to be more or less yes, but with caveats.

Paul de Grauwe points out some distortions in the headline numbers reported by the ECB. First, this is a survey of household wealth, but, de Grauwe says, households are larger in the South than in the North. This is true, but it turns out not to make much of a difference — converting from household wealth to wealth per capita leaves the basic pattern unchanged.

Per capita wealth in selected European countries. From de Grauwe.

Second, the survey focuses on median wealth, which ignores distribution. If we look at the mean household instead of the median one, we find Germany closer to the middle of the pack — ahead of Greece, though still behind France, Italy and Spain. The difference between the two measures results from the highly unequal distribution of wealth in Germany — the most unequal in Europe, according to the ECB survey. For the poorest quintile, median net worth is ten times higher in Greece and in Italy than in Germany, and 30 times higher in Spain.

This helps answer the question of apparent low German wealth — part of the reason the median German household is wealth-poor is because household wealth is concentrated at the top. But that just raises a new puzzle. Income distribution Germany is among the most equal in Europe. Why is the distribution of wealth so much more unequal? The puzzle deepens when we see that the other European countries with high levels of wealth inequality are France, Austria, and Finland, all of which also have relatively equal income distribution.

Another distortion pointed to by De Grauwe is that the housing bubble in southern Europe had not fully deflated in 2009, when the survey was taken — home prices were still significantly higher than a decade earlier. Since Germany never had a housing boom, this tends to depress measured wealth there. This explains some of the discrepancy, but not all of it. Using current home prices, the median Spanish household has more than triple the net wealth of the median German household; with 2002 home prices, only double. But this only moves Germany up from the lowest median household wealth in Europe, to the second lowest.

The puzzle posed by the wealth survey seems to be genuine. Even correcting for home prices and household size, the median Spanish or Italian household reports substantially more net wealth than the median German one, and the median Greek household about an equal amount. Yet Germany is, by most measures, a much richer country, with median household income of €33,000, compared with €22,000, €25,000 and €26,000 in Greece, Spain and Italy respectively. Use mean wealth instead of median, and German wealth is well above Greek and about equal to Spanish, but still below Italian — even though, again, average household income is much higher in Germany than in Italy. And the discrepancy between the median and mean raises the puzzle of why German wealth distribution is so much more uneven than German income distribution.

De Grauwe suggests one more correction: look at the total stock of fixed capital in each country, rather than household wealth. Measuring capital consistently across countries is notoriously dicey, but on his estimate, Germany and the Netherlands have as much as three times the capital per head as the southern countries. So Germany is richer in real terms than the South, as we all know; the difference is just that “a large part of German wealth is not held by households and therefore must be held by the corporate sector.” Problem solved!

Except… you know, Mitt Romney was right: corporations are people, in the sense that they are owned by people. The wealth of German corporations should also show up as the wealth of the owners of German stocks, bonds, or other claims on those corporations — which means, overwhelmingly, German households. Indeed, in mainstream economic theory, the “wealth” of the corporate sector just is the wealth of the households that own it. According to de Grauwe, the per capita value of the capital stock is more than twice as large in Germany as in Spain. Yet the average financial wealth held by a German household is only 25% higher than in Spain. So as in the case of distribution, this solution to the net-wealth puzzle just creates a new puzzle: Why is a dollar of capital in a German firm worth so much less to its ultimate owners than a dollar of capital in a Spanish or Italian firm?

And this, I think, points us toward the answer, or at least toward the right question.

The question is, what is the relationship between the level of market production in an economy, and the claims on future production represented by wealth? It’s a truism — tho often forgotten — that the market production counted in GDP is only a part of all the productive activity that takes place in society. In the same way, not all market production is capitalized into assets. Wealth in an economic sense represents only those claims on future income that are exercised by virtue of a legal title that is freely transferable, and hence has a market value.

For example, imagine two otherwise similar countries, one of which makes provision for retirement income through a pay-as-you-go public pension system, and the other of which uses some form of funded pension. The two countries may have identical levels of output and income, and retirees may receive exactly the same payments in both. But because the assets held by the pension funds show up on balance sheets while the right to future public pension payments does not, the first country will have less wealth than the second one. Again, this does not imply any difference in production, or income, or who ultimately bears the cost of supporting retirees; it is simply a question of how much of those future payments are capitalized into assets.

This is just an analogy; I don’t think retirement savings are the story here. The story is about home ownership and the value of corporate stock.

First, home ownership. Only 44 percent of German households own their own homes, compared with 70-80 percent in Greece, Italy and Spain. Among both homeowners and non-homeowners considered separately, median household wealth is comparable in Germany and in the southern countries. It’s only the much higher proportion of home ownership that produces higher median wealth in the South. And this is especially true at the bottom end of the distribution — almost all the bottom quintile (by income) of German households are renters, whereas in Greece, Spain and Italy there is a large fraction of homeowners even at the lowest incomes. Furthermore, German renters have far more protections than elsewhere. As I understand it, German renters are sufficiently protected against both rent increases and loss of their lease that their occupancy of their home is not much less secure than that of home owners. These protections are, in a sense, a form of property right — they are a claim on the future flow of housing services in the same way that a title to a house would be. But with a critical difference: the protections from rent regulation can’t be sold, don’t show up on the household’s balance sheet, and do not get counted as wealth.

In short: The biggest reason that German household wealth is lower than than elsewhere is that less claims on the future output of the housing sector take the form of assets. Housing is just as commodified in Germany as elsewhere (I don’t think public housing is unusually important there). But it is less capitalized.

Home ownership is the biggest and clearest part of the story here, but it’s not the whole story. Correct for home ownership rates, use mean rather than median, and you find that German household wealth is comparable to household wealth in Italy or Spain. But given that GDP per capita is much higher in Germany, and the capital stock seems to be so much larger, why isn’t household wealth higher in Germany too?

One possible answer is that income produced in the corporate sector is also less capitalized in Germany.

In a recent paper with Zucman, Thomas Piketty suggests that the relationship between equity values and the real value of corporate assets depends on who exercises power over the corporation. Piketty and Zucman:

Investors who wish to take control of a corporation typically have to pay a large premium to obtain majority ownership. This mechanism might explain why Tobin’s Q tends to be structurally below 1. It can also provide an explanation for some of the cross-country variation… : the higher Tobin’s Q in Anglo-Saxon countries might be related to the fact that shareholders have more control over corporations than in Germany, France, and Japan. This would be consistent with the results of Gompers, Ishii and Metrick (2003), who find that firms with stronger shareholders rights have higher Tobin’s Q. Relatedly, the control rights valuation story may explain part of the rising trend in Tobin’s Q in rich countries. … the ”control right” or ”stakeholder” view of the firm can in principle explain why the market value of corporations is particularly low in Germany (where worker representatives have voting rights in corporate boards without any equity stake in the company). According to this ”stakeholder” view of the firm, the market value of corporations can be interpreted as the value for the owner, while the book value can be interpreted as the value for all stakeholders.

In other words, one reason household wealth is low in Germany is because German households exercise their claims on the business sector not via financial assets, but as workers.

The corporate sector is also relatively larger in Germany than in the southern countries, where small business remains widespread. 14 percent of Spanish households and 18 percent of Italian households report ownership of a business, compared with only 9 percent of German households. Again, this is a way in which lower wealth reflects a shift in claims on the social product from property ownership to labor.

It’s not a coincidence that Europe’s dominant economy has the least market wealth. The truth is, success in the world market has depended for a long time now on limiting dependence on asset markets, just as the most successful competitors within national economies are the giant corporations that suppress the market mechanism internally. Germany, as with late industrializers like Japan, Korea, and now China, has succeeded largely by ensuring that investment is not guided by market signals, but through active planning by banks and/or the state. There’s nothing new in the fact that greater real wealth in the sense of productive capacity goes hand hand with less wealth in the sense of claims on the social product capitalized into assets. Only in the poorest and most backward countries does a significant fraction of the claims of working people on the product take the form of asset ownership.

The world of small farmers and self-employed artisans isn’t one we can, or should, return to. Perhaps the world of homeowners managing their own retirement savings isn’t one we can, or should, preserve.

“The Labouring Classes Should Have a Taste for Comforts and Enjoyments”

McDonald’s model budget for its minimum-wage employees — along with the smug, fatuous, those-people-aren’t-like-us-dear defenses of it — has been the target of well-deserved scorn.

This kind of thing has been around forever (or at least as long as capitalism). Two hundred years ago, liberal reformers offered “Promoting Sobriety and Frugality, and an Abhorrence of Gaming”as the solution to the collapse of wages following the Napoleonic wars, and gave workers instruction on “the use of roasted wheat as a substitute for coffee.” You could make an endless list of these helpful suggestions to the poor to better manage their poverty.

To be fair, liberals today do mostly see this stuff as, at best, an effort by low-wage employers to divert attention from their own compensation policies to the personal responsibility of their workers. And at worst, when the budget help includes assistance enrolling in Medicaid or the EITC, as a way of getting the public to subsidize low-wage employment.

But there’s a nagging sense in these conversations that, disingenuous as McDonald’s is here, still, at the end of the day, frugality, living within one’s means, is a virtue; that the ability to prioritize expenses and make a budget is a useful skill to have. Against that view, here’s Ricardo on wages:

It is not to be understood that the natural price of labour, estimated even in food and necessaries, is absolutely fixed and constant. … It essentially depends on the habits and customs of the people. An English labourer would consider his wages under their natural rate, and too scanty to support a family, if they enabled him to purchase no other food than potatoes, and to live in no better habitation than a mud cabin; yet these moderate demands of nature are often deemed sufficient in countries where ‘man’s life is cheap’, and his wants easily satisfied. Many of the conveniences now enjoyed in an English cottage, would have been thought luxuries at an earlier period of our history. 

The friends of humanity cannot but wish that in all countries the labouring classes should have a taste for comforts and enjoyments, and that they should be stimulated by all legal means in their exertions to procure them. … In those countries, where the labouring classes have the fewest wants, and are contented with the cheapest food, the people are exposed to the greatest vicissitudes and miseries.

In a world where the price of labor power depends on its cost, there’s no benefit to workers from budgeting responsibly, from learning to get by on less. The less people can live on, the lower wages will be. On the other hand, to the extent that former luxuries — a decent car, some nice clothes, dinner out once in a while, whatever consumer electronics item the scolds are going on about now — come to be seen as necessities, such that it’s not worth putting up with the bullshit of a job if you still can’t afford them, then wages will have to rise enough to cover that too.

For much of the 20th century, it seemed like we had left Ricardo’s world behind. Among economists, it became a well-established stylized fact that it’s the wage share, not the real wage that is relatively fixed. To even sympathetic critics of Marx, the failure of real wages to gravitate toward a (socially determined) subsistence level looked like a major departure of modern economies from the capitalism he described.

These days, though, the world is looking more Ricardian. For the majority of workers without credentials or other shelter from the logic of the labor market, real wages look less like a technologically-fixed share of output than the minimum necessary to keep people participating in wage labor at all. In the subsistence-wage world of industrializing Britain, workers’ “frugality, discipline or acquisitive virtues brought profit to their masters rather than success to themselves.”  Conversely, in that world, which may also be our world, profligacy, waste and irresponsibility could be a kind of solidarity.

I would never presume to tell someone surviving on a minimum-wage paycheck how to live their life. I know that being poor is incredibly hard work, in a way that those of us who haven’t experienced it can hardly imagine.  But as a friend of humanity, I do worry that the biggest danger isn’t that people can’t live on the minimum wage, but that they can. In which case we’re all better off if McDonald’s employees throw the bosses’ helpful budget advice away.