Archive for the 'David Hume' Category

What’s Wrong with the Price-Specie-Flow Mechanism? Part I

The tortured intellectual history of the price-specie-flow mechanism (PSFM), which received its classic exposition in an essay (“Of the Balance of Trade”) by David Hume about 275 years ago is not a history that, properly understood, provides solid grounds for optimism about the chances for progress in what we, somewhat credulously, call economic science. In brief, the price-specie-flow mechanism asserts that, under a gold or commodity standard, deviations between the price levels of those countries on the gold standard induce gold to be shipped from countries where prices are relatively high to countries where prices are relatively low, the gold flows continuing until price levels are equalized. Hence, the compound adjective “price-specie-flow,” signifying that the mechanism is set in motion by price-level differences that induce gold (specie) flows.

The PSFM is thus premised on a version of the quantity theory of money in which price levels in each country on the gold standard are determined by the quantity of money circulating in that country. In his account, Hume assumed that money consists entirely of gold, so that he could present a scenario of disturbance and re-equilibration strictly in terms of changes in the amount of gold circulating in each country. Inasmuch as Hume held a deeply hostile attitude toward banks, believing them to be essentially inflationary engines of financial disorder, subsequent interpretations of the PSFM had to struggle to formulate a more general theoretical account of international monetary adjustment to accommodate the presence of the fractional-reserve banking so detested by Hume and to devise an institutional framework that would facilitate operation of the adjustment mechanism under a fractional-reserve-banking system.

In previous posts on this blog (e.g., here, here and here) a recent article on the history of the (misconceived) distinction between rules and discretion, I’ve discussed the role played by the PSFM in one not very successful attempt at monetary reform, the English Bank Charter Act of 1844. The Bank Charter Act was intended to ensure the maintenance of monetary equilibrium by reforming the English banking system so that it would operate the way Hume described it in his account of the PSFM. However, despite the failings of the Bank Charter Act, the general confusion about monetary theory and policy that has beset economic theory for over two centuries has allowed PSFM to retain an almost canonical status, so that it continues to be widely regarded as the basic positive and normative model of how the classical gold standard operated. Using the PSFM as their normative model, monetary “experts” came up with the idea that, in countries with gold inflows, monetary authorities should reduce interest rates (i.e., lending rates to the banking system) causing monetary expansion through the banking system, and, in countries losing gold, the monetary authorities should do the opposite. These vague maxims described as the “rules of the game,” gave only directional guidance about how to respond to an increase or decrease in gold reserves, thereby avoiding the strict numerical rules, and resulting financial malfunctions, prescribed by the Bank Charter Act.

In his 1932 defense of the insane gold-accumulation policy of the Bank of France, Hayek posited an interpretation of what the rules of the game required that oddly mirrored the strict numerical rules of the Bank Charter Act, insisting that, having increased the quantity of banknotes by about as much its gold reserves had increased after restoration of the gold convertibility of the franc, the Bank of France had done all that the “rules of the game” required it to do. In fairness to Hayek, I should note that decades after his misguided defense of the Bank of France, he was sharply critical of the Bank Charter Act. At any rate, the episode indicates how indefinite the “rules of the game” actually were as a guide to policy. And, for that reason alone, it is not surprising that evidence that the rules of the game were followed during the heyday of the gold standard (roughly 1880 to 1914) is so meager. But the main reason for the lack of evidence that the rules of the game were actually followed is that the PSFM, whose implementation the rules of the game were supposed to guarantee, was a theoretically flawed misrepresentation of the international-adjustment mechanism under the gold standard.

Until my second year of graduate school (1971-72), I had accepted the PSFM as a straightforward implication of the quantity theory of money, endorsed by such luminaries as Hayek, Friedman and Jacob Viner. I had taken Axel Leijonhufvud’s graduate macro class in my first year, so in my second year I audited Earl Thompson’s graduate macro class in which he expounded his own unique approach to macroeconomics. One of the first eye-opening arguments that Thompson made was to deny that the quantity theory of money is relevant to an economy on the gold standard, the kind of economy (allowing for silver and bimetallic standards as well) that classical economics, for the most part, dealt with. It was only after the Great Depression that fiat money was widely accepted as a viable system for the long-term rather than a mere temporary wartime expedient.

What determines the price level for a gold-standard economy? Thompson’s argument was simple. The value of gold is determined relative to every other good in the economy by exactly the same forces of supply and demand that determine relative prices for every other real good. If gold is the standard, or numeraire, in terms of which all prices are quoted, then the nominal price of gold is one (the relative price of gold in terms of itself). A unit of currency is specified as a certain quantity of gold, so the price level measure in terms of the currency unit varies inversely with the value of gold. The amount of money in such an economy will correspond to the amount of gold, or, more precisely, to the amount of gold that people want to devote to monetary, as opposed to real (non-monetary), uses. But financial intermediaries (banks) will offer to exchange IOUs convertible on demand into gold for IOUs of individual agents. The IOUs of banks have the property that they are accepted in exchange, unlike the IOUs of individual agents which are not accepted in exchange (not strictly true as bills of exchange have in the past been widely accepted in exchange). Thus, the amount of money (IOUs payable on demand) issued by the banking system depends on how much money, given the value of gold, the public wants to hold; whenever people want to hold more money than they have on hand, they obtain additional money by exchanging their own IOUs – not accepted in payment — with a bank for a corresponding amount of the bank’s IOUs – which are accepted in payment.

Thus, the simple monetary theory that corresponds to a gold standard starts with a value of gold determined by real factors. Given the public’s demand to hold money, the banking system supplies whatever quantity of money is demanded by the public at a price level corresponding to the real value of gold. This monetary theory is a theory of an ideal banking system producing a competitive supply of money. It is the basic monetary paradigm of Adam Smith and a significant group of subsequent monetary theorists who formed the Banking School (and also the Free Banking School) that opposed the Currency School doctrine that provided the rationale for the Bank Charter Act. The model is highly simplified and based on assumptions that aren’t necessarily fulfilled always or even at all in the real world. The same qualification applies to all economic models, but the realism of the monetary model is certainly open to question.

So under the ideal gold-standard model described by Thompson, what was the mechanism of international monetary adjustment? All countries on the gold standard shared a common price level, because, under competitive conditions, prices for any tradable good at any two points in space can deviate by no more than the cost of transporting that product from one point to the other. If geographic price differences are constrained by transportation costs, then the price effects of an increased quantity of gold at any location cannot be confined to prices at that location; arbitrage spreads the price effect at one location across the whole world. So the basic premise underlying the PSFM — that price differences across space resulting from any disturbance to the equilibrium distribution of gold would trigger equilibrating gold shipments to equalize prices — is untenable; price differences between any two points are always constrained by the cost of transportation between those points, whatever the geographic distribution of gold happens to be.

Aside from the theoretical point that there is a single world price level – actually it’s more correct to call it a price band reflecting the range of local price differences consistent with arbitrage — that exists under the gold standard, so that the idea that local prices vary in proportion to the local money stock is inconsistent with standard price theory, Thompson also provided an empirical refutation of the PSFM. According to the PSFM, when gold is flowing into one country and out of another, the price levels in the two countries should move in opposite directions. But the evidence shows that price-level changes in gold-standard countries were highly correlated even when gold flows were in the opposite direction. Similarly, if PSFM were correct, cyclical changes in output and employment should have been correlated with gold flows, but no such correlation between cyclical movements and gold flows is observed in the data. It was on this theoretical foundation that Thompson built a novel — except that Hawtrey and Cassel had anticipated him by about 50 years — interpretation of the Great Depression as a deflationary episode caused by a massive increase in the demand for gold between 1929 and 1933, in contrast to Milton Friedman’s narrative that explained the Great Depression in terms of massive contraction in the US money stock between 1929 and 1933.

Thompson’s ideas about the gold standard, which he had been working on for years before I encountered them, were in the air, and it wasn’t long before I encountered them in the work of Harry Johnson, Bob Mundell, Jacob Frenkel and others at the University of Chicago who were then developing what came to be known as the monetary approach to the balance of payments. Not long after leaving UCLA in 1976 for my first teaching job, I picked up a volume edited by Johnson and Frenkel with the catchy title The Monetary Approach to the Balance of Payments. I studied many of the papers in the volume, but only two made a lasting impression, the first by Johnson and Frenkel “The Monetary Approach to the Balance of Payments: Essential Concepts and Historical Origins,” and the last by McCloskey and Zecher, “How the Gold Standard Really Worked.” Reinforcing what I had learned from Thompson, the papers provided a deeper understanding of the relevant history of thought on the international-monetary-adjustment  mechanism, and the important empirical and historical evidence that contradicts the PSFM. I also owe my interest in Hawtrey to the Johnson and Frenkel paper which cites Hawtrey repeatedly for many of the basic concepts of the monetary approach, especially the existence of a single arbitrage-constrained international price level under the gold standard.

When I attended the History of Economics Society Meeting in Toronto a couple of weeks ago, I had the  pleasure of meeting Deirdre McCloskey for the first time. Anticipating that we would have a chance to chat, I reread the 1976 paper in the Johnson and Frenkel volume and a follow-up paper by McCloskey and Zecher (“The Success of Purchasing Power Parity: Historical Evidence and Its Implications for Macroeconomics“) that appeared in a volume edited by Michael Bordo and Anna Schwartz, A Retrospective on the Classical Gold Standard. We did have a chance to chat and she did attend the session at which I talked about Friedman and the gold standard, but regrettably the chat was not a long one, so I am going to try to keep the conversation going with this post, and the next one in which I will discuss the two McCloskey and Zecher papers and especially the printed comment to the later paper that Milton Friedman presented at the conference for which the paper was written. So stay tuned.

PS Here is are links to Thompson’s essential papers on monetary theory, “The Theory of Money and Income Consistent with Orthodox Value Theory” and “A Reformulation of Macroeconomic Theory” about which I have written several posts in the past. And here is a link to my paper “A Reinterpretation of Classical Monetary Theory” showing that Earl’s ideas actually captured much of what classical monetary theory was all about.

Samuelson Rules the Seas

I think Nick Rowe is a great economist; I really do. And on top of that, he recently has shown himself to be a very brave economist, fearlessly claiming to have shown that Paul Samuelson’s classic 1980 takedown (“A Corrected Version of Hume’s Equilibrating Mechanisms for International Trade“) of David Hume’s classic 1752 articulation of the price-specie-flow mechanism (PSFM) (“Of the Balance of Trade“) was all wrong. Although I am a great admirer of Paul Samuelson, I am far from believing that he was error-free. But I would be very cautious about attributing an error in pure economic theory to Samuelson. So if you were placing bets, Nick would certainly be the longshot in this match-up.

Of course, I should admit that I am not an entirely disinterested observer of this engagement, because in the early 1970s, long before I discovered the Samuelson article that Nick is challenging, Earl Thompson had convinced me that Hume’s account of PSFM was all wrong, the international arbitrage of tradable-goods prices implying that gold movements between countries couldn’t cause the relative price levels of those countries in terms of gold to deviate from a common level, beyond the limits imposed by the operation of international commodity arbitrage. And Thompson’s reasoning was largely restated in the ensuing decade by Jacob Frenkel and Harry Johnson (“The Monetary Approach to the Balance of Payments: Essential Concepts and Historical Origins”) and by Donald McCloskey and Richard Zecher (“How the Gold Standard Really Worked”) both in the 1976 volume on The Monetary Approach to the Balance of Payments edited by Johnson and Frenkel, and by David Laidler in his essay “Adam Smith as a Monetary Economist,” explaining why in The Wealth of Nations Smith ignored his best friend Hume’s classic essay on PSFM. So the main point of Samuelson’s takedown of Hume and the PSFM was not even original. What was original about Samuelson’s classic article was his dismissal of the rationalization that PSFM applies when there are both non-tradable and tradable goods, so that national price levels can deviate from the common international price level in terms of tradables, showing that the inclusion of tradables into the analysis serves only to slow down the adjustment process after a gold-supply shock.

So let’s follow Nick in his daring quest to disprove Samuelson, and see where that leads us.

Assume that durable sailing ships are costly to build, but have low (or zero for simplicity) operating costs. Assume apples are the only tradeable good, and one ship can transport one apple per year across the English Channel between Britain and France (the only countries in the world). Let P be the price of apples in Britain, P* be the price of apples in France, and R be the annual rental of a ship, (all prices measured in gold), then R=ABS(P*-P).

I am sorry to report that Nick has not gotten off to a good start here. There cannot be only tradable good. It takes two tango and two to trade. If apples are being traded, they must be traded for something, and that something is something other than apples. And, just to avoid misunderstanding, let me say that that something is also something other than gold. Otherwise, there couldn’t possibly be a difference between the Thompson-Frenkel-Johnson-McCloskey-Zecher-Laidler-Samuelson critique of PSFM and the PSFM. We need at least three goods – two real goods plus gold – providing a relative price between the two real goods and two absolute prices quoted in terms of gold (the numeraire). So if there are at least two absolute prices, then Nick’s equation for the annual rental of a ship R must be rewritten as follows R=ABS[P(A)*-P(A)+P(SE)*-P(SE)], where P(A) is the price of apples in Britain, P(A)* is the price of apples in France, P(SE) is the price of something else in Britain, and P(SE)* is the price of that same something else in France.

OK, now back to Nick:

In this model, the Law of One Price (P=P*) will only hold if the volume of exports of apples (in either direction) is unconstrained by the existing stock of ships, so rentals on ships are driven to zero. But then no ships would be built to export apples if ship rentals were expected to be always zero, which is a contradiction of the Law of One Price because arbitrage is impossible without ships. But an existing stock of ships represents a sunk cost (sorry) and they keep on sailing even as rentals approach zero. They sail around Samuelson’s Iceberg model (sorry) of transport costs.

This is a peculiar result in two respects. First, it suggests, perhaps inadvertently, that the law of price requires equality between the prices of goods in every location when in fact it only requires that prices in different locations not differ by more than the cost of transportation. The second, more serious, peculiarity is that with only one good being traded the price difference in that single good between the two locations has to be sufficient to cover the cost of building the ship. That suggests that there has to be a very large price difference in that single good to justify building the ship, but in fact there are at least two goods being shipped, so it is the sum of the price differences of the two goods that must be sufficient to cover the cost of building the ship. The more tradable goods there are, the smaller the price differences in any single good necessary to cover the cost of building the ship.

Again, back to Nick:

Start with zero exports, zero ships, and P=P*. Then suppose, like Hume, that some of the gold in Britain magically disappears. (And unlike Hume, just to keep it simple, suppose that gold magically reappears in France.)

Uh-oh. Just to keep it simple? I don’t think so. To me, keeping it simple would mean looking at one change in initial conditions at a time. The one relevant change – the one discussed by Hume – is a reduction in the stock of gold in Britain. But Nick is looking at two changes — a reduced stock of gold in Britain and an increased stock of gold in France — simultaneously. Why does it matter? Because the key point at issue is whether a national price level – i.e, Britain’s — can deviate from the international price level. In Nick’s two-country example, there should be one national price level and one international price level, which means that the only price level subject to change as a result of the change in initial conditions should be, as in Hume’s example, the British price level, while the French price level – representing the international price level – remained constant. In a two-country model, this can only be made plausible by assuming that France is large compared to Britain, so that a loss of gold could potentially affect the British price level without changing the French price level. Once again back to Nick.

The price of apples in Britain drops, the price of apples in France rises, and so the rent on a ship is now positive because you can use it to export apples from Britain to France. If that rent is big enough, and expected to stay big long enough, some ships will be built, and Britain will export apples to France in exchange for gold. Gold will flow from France to Britain, so the stock of gold will slowly rise in Britain and slowly fall in France, and the price of apples will likewise slowly rise in Britain and fall in France, so ship rentals will slowly fall, and the price of ships (the Present Value of those rents) will eventually fall below the cost of production, so no new ships will be built. But the ships already built will keep on sailing until rentals fall to zero or they rot (whichever comes first).

So notice what Nick has done. Instead of confronting the Thompson-Frenkel-Johnson-McCloseky-Zecher-Laidler-Samuelson critique of Hume, which asserts that a world price level determines the national price level, Nick has simply begged the question by not assuming that the world price of gold, which determines the world price level, is constant. Instead, he posits a decreased value of gold in France, owing to an increased French stock of gold, and an increased value of gold in Britain, owing to a decreased British stock of gold, and then conflating the resulting adjustment in the value gold with the operation of commodity arbitrage. Why Nick thinks his discussion is relevant to the Thompson-Frenkel-Johnson-McCloseky-Zecher-Laidler-Samuelson critique escapes me.

The flow of exports and hence the flow of specie is limited by the stock of ships. And only a finite number of ships will be built. So we observe David Hume’s price-specie flow mechanism playing out in real time.

This bugs me. Because it’s all sorta obvious really.

Yes, it bugs me, too. And, yes, it is obvious. But why is it relevant to the question under discussion, which is whether there is an international price level in terms of gold that constrains movements in national price levels in countries in which gold is the numeraire. In other words, if there is a shock to the gold stock of a small open economy, how much will the price level in that small open economy change? By the percentage change in the stock of gold in that country – as Hume maintained – or by the minisicule percentage change in the international stock of gold, gold prices in the country that has lost gold being constrained from changing by more than allowed by the cost of arbitrage operations? Nick’s little example is simply orthogonal to the question under discussion.

I skip Nick’s little exegetical discussion of Hume’s essay and proceed to what I think is the final substantive point that Nick makes.

Prices don’t just arbitrage themselves. Even if we take the limit of my model, as the cost of building ships approaches zero, we need to explain what process ensures the Law of One Price holds in equilibrium. Suppose it didn’t…then people would buy low and sell high… know the rest.

There are different equilibrium conditions being confused here. The equilibrium arbitrage conditions are not same as the equilibrium conditions for international monetary equilibrium. Arbitrage conditions for individual commodities can hold even if the international distribution of gold is not in equilibrium. So I really don’t know what conclusion Nick is alluding to here.

But let me end on what I hope is a conciliatory and constructive note. As always, Nick is making an insightful argument, even if it is misplaced in the context of Hume and PSFM. And the upshot of Nick’s argument is that transportation costs are a function of the dispersion of prices, because, as the incentive to ship products to capture arbitrage profits increases, the cost of shipping will increase as arbitragers bid up the value of resources specialized to the processes of transporting stuff. So the assumption that the cost of transportation can be treated as a parameter is not really valid, which means that the constraints imposed on national price level movements are not really parametric, they are endongenously determined within an appropriately specified general equilibrium model. If Nick is willing to settle for that proposition, I don’t think that our positions are that far apart.

Where Do Monetary Rules Come From and How Do They Work?

In my talk last week at the Mercatus Conference on Monetary Rules for a Post-Crisis World, I discussed how monetary rules and the thinking about monetary rules have developed over time. The point that I started with was that monetary rules become necessary only when the medium of exchange has a value that exceeds the cost of producing the medium of exchange. You don’t need a monetary rule if money is a commodity; people just trade stuff for stuff; it’s not barter, because everyone accepts one real commodity, making that commodity the medium of exchange. But there’s no special rule governing the monetary system beyond the rules that govern all forms of exchange. the first monetary rule came along only when something worth more than its cost of production was used as money. This might have happened when people accepted minted coins at face value, even though the coins were not full-bodied. But that situation was not a stable equilibrium, because eventually Gresham’s Law kicks in, and the bad money drives out the good, so that the value of coins drops to their metallic value rather than their face value. So no real monetary rule was operating to control the value of coinage in situations where the coinage was debased.

So the idea of an actual monetary rule to govern the operation of a monetary system only emerged when banks started to issue banknotes. Banknotes having a negligible cost of production, a value in excess of that negligible cost could be imparted to those essentially worthless banknotes only by banks undertaking a commitment — a legally binding obligation — to make those banknotes redeemable (convertible) for a fixed weight of gold or silver or some other valuable material whose supply was not under the control of the bank itself. This convertibility commitment can be thought of as a kind of rule, but convertibility was not originally undertaken as a policy rule; it was undertaken simply as a business expedient; it was the means by which banks could create a demand for the banknotes that they wanted to issue to borrowers so that they could engage in the profitable business of financial intermediation.

It was in 1797, during the early stages of the British-French wars after the French Revolution, when, the rumor of a French invasion having led to a run on Bank of England notes, the British government prohibited the Bank of England from redeeming its banknotes for gold, and made banknotes issued by the Bank of England legal tender. The subsequent premium on gold in Continental commodity markets in terms of sterling – what was called the high price of bullion – led to a series of debates which engaged some of the finest economic minds in Great Britain – notably David Ricardo and Henry Thornton – over the causes and consequences of the high price of bullion and, if a remedy was in fact required, the appropriate policy steps to be taken to administer that remedy.

There is a vast literature on the many-sided Bullionist debates as they are now called, but my only concern here is with the final outcome of the debates, which was the appointment of a Parliamentary Commission, which included none other than the great Henry Thornton, himself, and two less renowned colleagues, William Huskisson and Francis Horner, who collaborated to write a report published in 1811 recommending the speedy restoration of convertibility of Bank of England notes. The British government and Parliament were unwilling to follow the recommendation while war with France was ongoing, however, there was a broad consensus in favor of the restoration of convertibility once the war was over.

After Napoleon’s final defeat in 1815, the process of restoring convertibility was begun with the intention of restoring the pre-1797 conversion rate between banknotes and gold. Parliament in fact enacted a statute defining the pound sterling as a fixed weight of gold. By 1819, the value of sterling had risen to its prewar level, and in 1821 the legal obligation of the Bank of England to convert its notes into gold was reinstituted. So the first self-consciously adopted monetary rule was the Parliamentary decision to restore the convertibility of banknotes issued by the Bank of England into a fixed weight of gold.

However, the widely held expectations that the restoration of convertibility of banknotes issued by the Bank of England into gold would produce a stable monetary regime and a stable economy were quickly disappointed, financial crises and depressions occurring in 1825 and again in 1836. To explain the occurrence of these unexpected financial crises and periods of severe economic distress, a group of monetary theorists advanced a theory based on David Hume’s discussion of the price-specie-flow mechanism in his essay “Of the Balance of Trade,” in which he explained the automatic tendency toward equilibrium in the balance of trade and stocks of gold and precious metals among nations. Hume carried out his argument in terms of a fully metallic (gold) currency, and, in other works, Hume decried the tendency of banks to issue banknotes to excess, thereby causing inflation and economic disturbances.

So the conclusion drawn by these monetary theorists was that the Humean adjustment process would work smoothly only if gold shipments into Britain or out of Britain would result in a reduction or increase in the quantity of banknotes exactly equal to the amount of gold flowing into or out of Britain. It was the failure of the Bank of England and the other British banks to follow the Currency Principle – the idea that the total amount of currency in the country should change by exactly the same amount as the total quantity of gold reserves in the country – that had caused the economic crises and disturbances marking the two decades since the resumption of convertibility in 1821.

Those advancing this theory of economic fluctuations and financial crises were known as the Currency School and they succeeded in persuading Sir Robert Peel, the Prime Minister to support legislation to require the Bank of England and the other British Banks to abide by the Currency Principle. This was done by capping the note issue of all banks other than the Bank of England at existing levels and allowing the Bank of England to increase its issue of banknotes only upon deposit of a corresponding quantity of gold bullion. The result was in effect to impose a 100% marginal reserve requirement on the entire British banking system. Opposition to the Currency School largely emanated from what came to be known as the Banking School, whose most profound theorist was John Fullarton who formulated the law of reflux, which focused attention on the endogenous nature of the issue of banknotes by commercial banks. According to Fullarton and the Banking School, the issue of banknotes by the banking system was not a destabilizing and disequilibrating disturbance, but a response to the liquidity demands of traders and dealers. Once these liquidity demands were satisfied, the excess banknotes, returning to the banks in the ordinary course of business, would be retired from circulation unless there was a further demand for liquidity from some other source.

The Humean analysis, abstracting from any notion of a demand for liquidity, was therefore no guide to the appropriate behavior of the quantity of banknotes. Imposing a 100% marginal reserve requirement on the supply of banknotes would make it costly for traders and dealers to satisfy their demands for liquidity in times of financial stress; rather than eliminate monetary disturbances, the statutory enactment of the Currency Principle would be an added source of financial disturbance and disorder.

With the support of Robert Peel and his government, the arguments of the Currency School prevailed, and the Bank Charter Act was enacted in 1844. In 1847, despite the hopes of its supporters that an era of financial tranquility would follow, a new financial crisis occurred, and the crisis was not quelled until the government suspended the Bank Charter Act, thereby enabling the Bank of England to lend to dealers and traders to satisfy their demands for liquidity. Again in 1857 and in 1866, crises occurred which could not be brought under control before the government suspended the Bank Charter Act.

So British monetary history in the first half of the nineteenth century provides us with two paradigms of monetary rules. The first is a price rule in which the value of a monetary instrument is maintained at a level above its cost of production by way of a convertibility commitment. Given the convertibility commitment, the actual quantity of the monetary instrument that is issued is whatever quantity the public wishes to hold. That, at any rate, was the theory of the gold standard. There were – and are – at least two basic problems with that theory. First, making the value of money equal to the value of gold does not imply that the value of money will be stable unless the value of gold is stable, and there is no necessary reason why the value of gold should be stable. Second, the behavior of a banking system may be such that the banking system will itself destabilize the value of gold, e.g., in periods of distress when the public loses confidence in the solvency of banks and banks simultaneously increase their demands for gold. The resulting increase in the monetary demand for gold drives up the value of gold, triggering a vicious cycle in which the attempt by each to increase his own liquidity impairs the solvency of all.

The second rule is a quantity rule in which the gold standard is forced to operate in a way that prevents the money supply from adjusting freely to variations in the demand for money. Such a rule makes sense only if one ignores or denies the possibility that the demand for money can change suddenly and unpredictably. The quantity rule is neither necessary nor sufficient for the gold standard or any monetary standard to operate. In fact, it is an implicit assertion that the gold standard or any metallic standard cannot operate, the operation of profit-seeking private banks and their creation of banknotes and deposits being inconsistent with the maintenance of a gold standard. But this is really a demand for abolition of the gold standard in which banknotes and deposits draw their value from a convertibility commitment and its replacement by a pure gold currency in which there is no distinction between gold and banknotes or deposits, banknotes and deposits being nothing more than a receipt for an equivalent physical amount of gold held in reserve. That is the monetary system that the Currency School aimed at achieving. However, imposing the 100% reserve requirement only on banknotes, they left deposits unconstrained, thereby paving the way for a gradual revolution in the banking practices of Great Britain between 1844 and about 1870, so that by 1870 the bulk of cash held in Great Britain was held in the form of deposits not banknotes and the bulk of business transactions in Britain were carried out by check not banknotes.

So Milton Friedman was working entirely within the Currency School monetary tradition, formulating a monetary rule in terms of a fixed quantity rather than a fixed price. And, in ultimately rejecting the gold standard, Friedman was merely following the logic of the Currency School to its logical conclusion, because what ultimately matters is the quantity rule not the price rule. For the Currency School, the price rule was redundant, a fifth wheel; the real work was done by the 100% marginal reserve requirement. Friedman therefore saw the gold standard as an unnecessary and even dangerous distraction from the ultimate goal of keeping the quantity of money under strict legal control.

It is in the larger context of Friedman’s position on 100% reserve banking, of which he remained an advocate until he shifted to the k-percent rule in the early 1960s, that his anomalous description of the classical gold standard of late nineteenth century till World War I as a pseudo-gold standard can be understood. What Friedman described as a real gold standard was a system in which only physical gold and banknotes and deposits representing corresponding holdings of physical gold circulate as media of exchange. But this is not a gold standard that has ever existed, so what Friedman called a real gold standard was actually just the gold standard of his hyperactive imagination.

Did David Hume Discover the Vertical Phillips Curve?

In my previous post about Nick Rowe and Milton Friedman, I pointed out to Nick Rowe that Friedman (and Phelps) did not discover the argument that the long-run Phillips Curve, defined so that every rate of inflation is correctly expected, is vertical. The argument I suggested can be traced back at least to Hume. My claim on Hume’s behalf was based on my vague recollection that Hume distinguished between the effect of a high price level and a rising price level, a high price level having no effect on output and employment, while a rising price level increases output and employment.

Scott Sumner offered the following comment, leaving it as an exercise for the reader to figure out what he meant by “didn’t quite get there.”:

As you know Friedman is one of the few areas where we disagree. Here I’ll just address one point, the expectations augmented Phillips Curve. Although I love Hume, he didn’t quite get there, although he did discuss the simple Phillips Curve.

I wrote the following response to Scott referring to the quote that I was thinking of without quoting it verbatim (because I couldn’t remember where to find it):

There is a wonderful quote by Hume about how low prices or high prices are irrelevant to total output, profits and employment, but that unexpected increases in prices are a stimulus to profits, output, and employment. I’ll look for it, and post it.

Nick Rowe then obligingly provided the quotation I was thinking of (but not all of it):

Here, to my mind, is the “money quote” (pun not originally intended) from David Hume’s “Of Money”:

“From the whole of this reasoning we may conclude, that it is of no manner of consequence, with regard to the domestic happiness of a state, whether money be in a greater or less quantity. The good policy of the magistrate consists only in keeping it, if possible, still encreasing; because, by that means, he keeps alive a spirit of industry in the nation, and encreases the stock of labour, in which consists all real power and riches.”

The first sentence is fine. But the second sentence is very clearly a problem.

Was it Friedman who said “we have only advanced one derivative since Hume”?

OK, so let’s see the whole relevant quotation from Hume’s essay “Of Money.”

Accordingly we find, that, in every kingdom, into which money begins to flow in greater abundance than formerly, everything takes a new face: labour and industry gain life; the merchant becomes more enterprising, the manufacturer more diligent and skilful, and even the farmer follows his plough with greater alacrity and attention. This is not easily to be accounted for, if we consider only the influence which a greater abundance of coin has in the kingdom itself, by heightening the price of Commodities, and obliging everyone to pay a greater number of these little yellow or white pieces for everything he purchases. And as to foreign trade, it appears, that great plenty of money is rather disadvantageous, by raising the price of every kind of labour.

To account, then, for this phenomenon, we must consider, that though the high price of commodities be a necessary consequence of the encrease of gold and silver, yet it follows not immediately upon that encrease; but some time is required before the money circulates through the whole state, and makes its effect be felt on all ranks of people. At first, no alteration is perceived; by degrees the price rises, first of one commodity, then of another; till the whole at last reaches a just proportion with the new quantity of specie which is in the kingdom. In my opinion, it is only in this interval or intermediate situation, between the acquisition of money and rise of prices, that the encreasing quantity of gold and silver is favourable to industry. When any quantity of money is imported into a nation, it is not at first dispersed into many hands; but is confined to the coffers of a few persons, who immediately seek to employ it to advantage. Here are a set of manufacturers or merchants, we shall suppose, who have received returns of gold and silver for goods which they sent to CADIZ. They are thereby enabled to employ more workmen than formerly, who never dream of demanding higher wages, but are glad of employment from such good paymasters. If workmen become scarce, the manufacturer gives higher wages, but at first requires an encrease of labour; and this is willingly submitted to by the artisan, who can now eat and drink better, to compensate his additional toil and fatigue.

He carries his money to market, where he, finds everything at the same price as formerly, but returns with greater quantity and of better kinds, for the use of his family. The farmer and gardener, finding, that all their commodities are taken off, apply themselves with alacrity to the raising more; and at the same time can afford to take better and more cloths from their tradesmen, whose price is the same as formerly, and their industry only whetted by so much new gain. It is easy to trace the money in its progress through the whole commonwealth; where we shall find, that it must first quicken the diligence of every individual, before it encrease the price of labour. And that the specie may encrease to a considerable pitch, before it have this latter effect, appears, amongst other instances, from the frequent operations of the FRENCH king on the money; where it was always found, that the augmenting of the numerary value did not produce a proportional rise of the prices, at least for some time. In the last year of LOUIS XIV, money was raised three-sevenths, but prices augmented only one. Corn in FRANCE is now sold at the same price, or for the same number of livres, it was in 1683; though silver was then at 30 livres the mark, and is now at 50. Not to mention the great addition of gold and silver, which may have come into that kingdom since the former period.

From the whole of this reasoning we may conclude, that it is of no manner of consequence, with regard to the domestic happiness of a state, whether money be in a greater or less quantity. The good policy of the magistrate consists only in keeping it, if possible, still encreasing; because, by that means, he keeps alive a spirit of industry in the nation, and encreases the stock of labour, in which consists all real power and riches. A nation, whose money decreases, is actually, at that time, weaker and more miserable than another nation, which possesses no more money, but is on the encreasing hand. This will be easily accounted for, if we consider, that the alterations in the quantity of money, either on one side or the other, are not immediately attended with proportionable alterations in the price of commodities. There is always an interval before matters be adjusted to their new situation; and this interval is as pernicious to industry, when gold and silver are diminishing, as it is advantageous when these metals are encreasing. The workman has not the same employment from the manufacturer and merchant; though he pays the same price for everything in the market. The farmer cannot dispose of his corn and cattle; though he must pay the same rent to his landlord. The poverty, and beggary, and sloth, which must ensue, are easily foreseen.

So Hume understands that once-and-for-all increases in the stock of money and in the price level are neutral, and also that in the transition from one price level to another, there will be a transitory effect on output and employment. However, when he says that the good policy of the magistrate consists only in keeping it, if possible, still increasing; because, by that means, he keeps alive a spirit of industry in the nation, he seems to be suggesting that the long-run Phillips Curve is actually positively sloped, thus confirming Milton Friedman (and Nick Rowe and Scott Sumner) in saying that Hume was off by one derivative.

While I think that is a fair reading of Hume, it is not the only one, because Hume really was thinking in terms of price levels, not rates of inflation. The idea that a good magistrate would keep the stock of money increasing could not have meant that the rate of inflation would indefinitely continue at a particular rate, only that the temporary increase in the price level would be extended a while longer. So I don’t think that Hume would ever have imagined that there could be a steady predicted rate of inflation lasting for an indefinite period of time. If he could have imagined a steady rate of inflation, I think he would have understood the simple argument that, once expected, the steady rate of inflation would not permanently increase output and employment.

At any rate, even if Hume did not explicitly anticipate Friedman’s argument for a vertical long-run Phillips Curve, certainly there many economists before Friedman who did. I will quote just one example from a source (Hayek’s Constitution of Liberty) that predates Friedman by about eight years. There is every reason to think that Friedman was familiar with the source, Hayek having been Friedman’s colleague at the University of Chicago between 1950 and 1962. The following excerpt is from p. 331 of the 1960 edition.

Inflation at first merely produces conditions in which more people make profits and in which profits are generally larger than usual. Almost everything succeeds, there are hardly any failures. The fact that profits again and again prove to be greater than had been expected and that an unusual number of ventures turn out to be successful produces a general atmosphere favorable to risk-taking. Even those who would have been driven out of business without the windfalls caused by the unexpected general rise in prices are able to hold on and to keep their employees in the expectation that they will soon share in the general prosperity. This situation will last, however, only until people begin to expect prices to continue to rise at the same rate. Once they begin to count on prices being so many per cent higher in so many months’ time, they will bid up the prices of the factors of production which determine the costs to a level corresponding to the future prices they expect. If prices then rise no more than had been expected, profits will return to normal, and the proportion of those making a profit also will fall; and since, during the period of exceptionally large profits, many have held on who would otherwise have been forced to change the direction of their efforts, a higher proportion than usual will suffer losses.

The stimulating effect of inflation will thus operate only so long as it has not been foreseen; as soon as it comes to be foreseen, only its continuation at an increased rate will maintain the same degree of prosperity. If in such a situation price rose less than expected, the effect would be the same as that of unforeseen deflation. Even if they rose only as much as was generally expected, this would no longer provide the expectational stimulus but would lay bare the whole backlog of adjustments that had been postponed while the temporary stimulus lasted. In order for inflation to retain its initial stimulating effect, it would have to continue at a rate always faster than expected.

This was certainly not the first time that Hayek made the same argument. See his Studies in Philosophy Politics and Economics, p. 295-96 for a 1958 version of the argument. Is there any part of Friedman’s argument in his 1968 essay (“The Role of Monetary Policy“) not contained in the quote from Hayek? Nor is there anything to indicate that Hayek thought he was making an argument that was not already familiar. The logic is so obvious that it is actually pointless to look for someone who “discovered” it. If Friedman somehow gets credit for making the discovery, it is simply because he was the one who made the argument at just the moment when the rest of the profession happened to be paying attention.

What Is Free Banking All About?

I notice that there has been a bit of a dustup lately about free banking, triggered by two posts by Izabella Kaminska, first on FTAlphaville followed by another on her own blog. I don’t want to get too deeply into the specifics of Kaminska’s posts, save to correct a couple of factual misstatements and conceptual misunderstandings (see below). At any rate, George Selgin has a detailed reply to Kaminska’s errors with which I mostly agree, and Scott Sumner has scolded her for not distinguishing between sensible free bankers, e.g., Larry White, George Selgin, Kevin Dowd, and Bill Woolsey, and the anti-Fed, gold-bug nutcases who, following in the footsteps of Ron Paul, have adopted free banking as a slogan with which to pursue their anti-Fed crusade.

Now it just so happens that, as some readers may know, I wrote a book about free banking, which I began writing almost 30 years ago. The point of the book was not to call for a revolutionary change in our monetary system, but to show that financial innovations and market forces were causing our modern monetary system to evolve into something like the theoretical model of a free banking system that had been worked out in a general sort of way by some classical monetary theorists, starting with Adam Smith, who believed that a system of private banks operating under a gold standard would supply as much money as, but no more money than, the public wanted to hold. In other words, the quantity of money produced by a system of competing banks, operating under convertibility, could be left to take care of itself, with no centralized quantitative control over either the quantity of bank liabilities or the amount of reserves held by the banking system.

So I especially liked the following comment by J. V. Dubois to Scott’s post

[M]y thing against free banking is that we actually already have it. We already have private banks issuing their own monies directly used for transactions – they are called bank accounts and debit/credit cards. There are countries like Sweden where there are now shops that do not accept physical cash (only bank monies) – a policy actively promoted government, if you can believe it.

There are now even financial products like Xapo Debit Card that automatically converts all payments received on your account into non-monetary assets (with Xapo it is bitcoins) and back into monies when you use the card for payment. There is a very healthy international bank money market so no matter what money you personally use, you can travel all around the world and pay comfortably without ever seeing or touching official local government currency.

In opposition to the Smithian school of thought, there was the view of Smith’s close friend David Hume, who famously articulated what became known as the Price-Specie-Flow Mechanism, a mechanism that Smith wisely omitted from his discussion of international monetary adjustment in the Wealth of Nations, despite having relied on PSFM with due acknowledgment of Hume, in his Lectures on Jurisprudence. In contrast to Smith’s belief that there is a market mechanism limiting the competitive issue of convertible bank liabilities (notes and deposits) to the amount demanded by the public, Hume argued that banks were inherently predisposed to overissue their liabilities, the liabilities being issuable at almost no cost, so that private banks, seeking to profit from the divergence between the face value of their liabilities and the cost of issuing them, were veritable engines of inflation.

These two opposing views of banks later morphed into what became known almost 70 years later as the Banking and Currency Schools. Taking the Humean position, the Currency School argued that without quantitative control over the quantity of banknotes issued, the banking system would inevitably issue an excess of banknotes, causing overtrading, speculation, inflation, a drain on the gold reserves of the banking system, culminating in financial crises. To prevent recurring financial crises, the Currency School proposed a legal limit on the total quantity of banknotes beyond which limit, additional banknotes could be only be issued (by the Bank of England) in exchange for an equivalent amount of gold at the legal gold parity. Taking the Smithian position, the Banking School argued that there were market mechanisms by which any excess liabilities created by the banking system would automatically be returned to the banking system — the law of reflux. Thus, as long as convertibility obtained (i.e., the bank notes were exchangeable for gold at the legal gold parity), any overissue would be self-correcting, so that a legal limit on the quantity of banknotes was, at best, superfluous, and, at worst, would itself trigger a financial crisis.

As it turned out, the legal limit on the quantity of banknotes proposed by the Currency School was enacted in the Bank Charter Act of 1844, and, just as the Banking School predicted, led to a financial crisis in 1847, when, as soon as the total quantity of banknotes approached the legal limit, a sudden precautionary demand for banknotes led to a financial panic that was subdued only after the government announced that the Bank of England would incur no legal liability for issuing banknotes beyond the legal limit. Similar financial panics ensued in 1857 and 1866, and they were also subdued by suspending the relevant statutory limits on the quantity of banknotes. There were no further financial crises in Great Britain in the nineteenth century (except possibly for a minicrisis in 1890), because bank deposits increasingly displaced banknotes as the preferred medium of exchange, the quantity of bank deposits being subject to no statutory limit, and because the market anticipated that, in a crisis, the statutory limit on the quantity of banknotes would be suspended, so that a sudden precautionary demand for banknotes never materialized in the first place.

Let me pause here to comment on the factual and conceptual misunderstandings in Kaminska’s first post. Discussing the role of the Bank of England in the British monetary system in the first half of the nineteenth century, she writes:

But with great money-issuance power comes great responsibility, and more specifically the great temptation to abuse that power via the means of imprudent money-printing. This fate befell the BoE — as it does most banks — not helped by the fact that the BoE still had to compete with a whole bunch of private banks who were just as keen as it to issue money to an equally imprudent degree.

And so it was that by the 1840s — and a number of Napoleonic Wars later — a terrible inflation had begun to grip the land.

So Kaminska seems to have fallen for the Humean notion that banks are inherently predisposed to overissue and, without some quantitative restraint on their issue of liabilities, are engines of inflation. But, as the law of reflux teaches us, this is not true, especially when banks, as they inevitably must, make their liabilities convertible on demand into some outside asset whose supply is not under their control. After 1821, the gold standard having been officially restored in England, the outside asset was gold. So what was happening to the British price level after 1821 was determined not by the actions of the banking system (at least to a first approximation), but by the value of gold which was determined internationally. That’s the conceptual misunderstanding that I want to correct.

Now for the factual misunderstanding. The chart below shows the British Retail Price Index between 1825 and 1850. The British price level was clearly falling for most of the period. After falling steadily from 1825 to about 1835, the price level rebounded till 1839, but it prices again started to fall reaching a low point in 1844, before starting another brief rebound and rising sharply in 1847 until the panic when prices again started falling rapidly.


From a historical perspective, the outcome of the implicit Smith-Hume disagreement, which developed into the explicit dispute over the Bank Charter Act of 1844 between the Banking and Currency Schools, was highly unsatisfactory. Not only was the dysfunctional Bank Charter Act enacted, but the orthodox view of how the gold standard operates was defined by the Humean price-specie-flow mechanism and the Humean fallacy that banks are engines of inflation, which made it appear that, for the gold standard to function, the quantity of money had to be tied rigidly to the gold reserve, thereby placing the burden of adjustment primarily on countries losing gold, so that inflationary excesses would be avoided. (Fortunately, for the world economy, gold supplies increased fairly rapidly during the nineteenth century, the spread of the gold standard meant that the monetary demand for gold was increasing faster than the supply of gold, causing gold to appreciate for most of the nineteenth century.)

When I set out to write my book on free banking, my intention was to clear up the historical misunderstandings, largely attributable to David Hume, surrounding the operation of the gold standard and the behavior of competitive banks. In contrast to the Humean view that banks are inherently inflationary — a view endorsed by quantity theorists of all stripes and enshrined in the money-multiplier analysis found in every economics textbook — that the price level would go to infinity if banks were not constrained by a legal reserve requirement on their creation of liabilities, there was an alternative view that the creation of liabilities by the banking system is characterized by the same sort of revenue and cost considerations governing other profit-making enterprises, and that the equilibrium of a private banking system is not that value of money is driven down to zero, as Milton Friedman, for example, claimed in his Program for Monetary Stability.

The modern discovery (or rediscovery) that banks are not inherently disposed to debase their liabilities was made by James Tobin in his classic paper “Commercial Banks and Creators of Money.” Tobin’s analysis was extended by others (notably Ben Klein, Earl Thompson, and Fischer Black) to show that the standard arguments for imposing quantitative limits on the creation of bank liabilities were unfounded, because, even with no legal constraints, there are economic forces limiting their creation of liabilities. A few years after these contributions, F. A. Hayek also figured out that there are competitive forces constraining the creation of liabilities by the banking system. He further developed the idea in a short book Denationalization of Money which did much to raise the profile of the idea of free banking, at least in some circles.

If there is an economic constraint on the creation of bank liabilities, and if, accordingly, the creation of bank liabilities was responsive to the demands of individuals to hold those liabilities, the Friedman/Monetarist idea that the goal of monetary policy should be to manage the total quantity of bank liabilities so that it would grow continuously at a fixed rate was really dumb. It was tried unsuccessfully by Paul Volcker in the early 1980s, in his struggle to bring inflation under control. It failed for precisely the reason that the Bank Charter Act had to be suspended periodically in the nineteenth century: the quantitative limit on the growth of the money supply itself triggered a precautionary demand to hold money that led to a financial crisis. In order to avoid a financial crisis, the Volcker Fed constantly allowed the monetary aggregates to exceed their growth targets, but until Volcker announced in the summer of 1982 that the Fed would stop paying attention to the aggregates, the economy was teetering on the verge of a financial crisis, undergoing the deepest recession since the Great Depression. After the threat of a Friedman/Monetarist financial crisis was lifted, the US economy almost immediately began one of the fastest expansions of the post-war period.

Nevertheless, for years afterwards, Friedman and his fellow Monetarists kept warning that rapid growth of the monetary aggregates meant that the double-digit inflation of the late 1970s and early 1980s would soon return. So one of my aims in my book was to use free-banking theory – the idea that there are economic forces constraining the issue of bank liabilities and that banks are not inherently engines of inflation – to refute the Monetarist notion that the key to economic stability is to make the money stock grow at a constant 3% annual rate of growth.

Another goal was to explain that competitive banks necessarily have to select some outside asset into which to make their liabilities convertible. Otherwise those liabilities would have no value, or at least so I argued, and still believe. The existence of what we now call network effects forces banks to converge on whatever assets are already serving as money in whatever geographic location they are trying to draw customers from. Thus, free banking is entirely consistent with an already existing fiat currency, so that there is no necessary link between free banking and a gold (or other commodity) standard. Moreover, if free banking were adopted without abolishing existing fiat currencies and legal tender laws, there is almost no chance that, as Hayek argued, new privately established monetary units would arise to displace the existing fiat currencies.

My final goal was to suggest a new way of conducting monetary policy that would enhance the stability of a free banking system, proposing a monetary regime that would ensure the optimum behavior of prices over time. When I wrote the book, I had been convinced by Earl Thompson that the optimum behavior of the price level over time would be achieved if an index of nominal wages was stabilized. He proposed accomplishing this objective by way of indirect convertibility of the dollar into an index of nominal wages by way of a modified form of Irving Fisher’s compensated dollar plan. I won’t discuss how or why that goal could be achieved, but I am no longer convinced of the optimality of stabilizing an index of nominal wages. So I am now more inclined toward nominal GDP level targeting as a monetary policy regime than the system I proposed in my book.

But let me come back to the point that I think J. V. Dubois was getting at in his comment. Historically, idea of free banking meant that private banks should be allowed to issue bank notes of their own (with the issuing bank clearly identified) without unreasonable regulations, restrictions or burdens not generally applied to other institutions. During the period when private banknotes were widely circulating, banknotes were a more prevalent form of money than bank deposits. So in the 21st century, the right of banks to issue hand to hand circulating banknotes is hardly a crucial issue for monetary policy. What really matters is the overall legal and regulatory framework under which banks operate.

The term “free banking” does very little to shed light on most of these issues. For example, what kind of functions should banks perform? Should commercial banks also engage in investment banking? Should commercial bank liabilities be ensured by the government, and if so under what terms, and up to what limits? There are just a couple of issues; there are many others. And they aren’t necessarily easily resolved by invoking the free-banking slogan. When I was writing, I meant by “free banking” a system in which the market determined the total quantity of bank liabilities. I am still willing to use “free banking” in that sense, but there are all kinds of issues concerning the asset side of bank balance sheets that also need to be addressed, and I don’t find it helpful to use the term free banking to address those issues.

Sterilizing Gold Inflows: The Anatomy of a Misconception

In my previous post about Milton Friedman’s problematic distinction between real and pseudo-gold standards, I mentioned that one of the signs that Friedman pointed to in asserting that the Federal Reserve Board in the 1920s was managing a pseudo gold standard was the “sterilization” of gold inflows to the Fed. What Friedman meant by sterilization is that the incremental gold reserves flowing into the Fed did not lead to a commensurate increase in the stock of money held by the public, the failure of the stock of money to increase commensurately with an inflow of gold being the standard understanding of sterilization in the context of the gold standard.

Of course “commensurateness” is in the eye of the beholder. Because Friedman felt that, given the size of the gold inflow, the US money stock did not increase “enough,” he argued that the gold standard in the 1920s did not function as a “real” gold standard would have functioned. Now Friedman’s denial that a gold standard in which gold inflows are sterilized is a “real” gold standard may have been uniquely his own, but his understanding of sterilization was hardly unique; it was widely shared. In fact it was so widely shared that I myself have had to engage in a bit of an intellectual struggle to free myself from its implicit reversal of the causation between money creation and the holding of reserves. For direct evidence of my struggles, see some of my earlier posts on currency manipulation (here, here and here), in which I began by using the concept of sterilization as if it actually made sense in the context of international adjustment, and did not fully grasp that the concept leads only to confusion. In an earlier post about Hayek’s 1932 defense of the insane Bank of France, I did not explicitly refer to sterilization, and got the essential analysis right. Of course Hayek, in his 1932 defense of the Bank of France, was using — whether implicitly or explicitly I don’t recall — the idea of sterilization to defend the Bank of France against critics by showing that the Bank of France was not guilty of sterilization, but Hayek’s criterion for what qualifies as sterilization was stricter than Friedman’s. In any event, it would be fair to say that Friedman’s conception of how the gold standard works was broadly consistent with the general understanding at the time of how the gold standard operates, though, even under the orthodox understanding, he had no basis for asserting that the 1920s gold standard was fraudulent and bogus.

To sort out the multiple layers of confusion operating here, it helps to go back to the classic discussion of international monetary adjustment under a pure gold currency, which was the basis for later discussions of international monetary adjustment under a gold standard (i.e, a paper currency convertible into gold at a fixed exchange rate). I refer to David Hume’s essay “Of the Balance of Trade” in which he argued that there is an equilibrium distribution of gold across different countries, working through a famous thought experiment in which four-fifths of the gold held in Great Britain was annihilated to show that an automatic adjustment process would redistribute the international stock of gold to restore Britain’s equilibrium share of the total world stock of gold.

The adjustment process, which came to be known as the price-specie flow mechanism (PSFM), is widely considered one of Hume’s greatest contributions to economics and to monetary theory. Applying the simple quantity theory of money, Hume argued that the loss of 80% of Britain’s gold stock would mean that prices and wages in Britain would fall by 80%. But with British prices 80% lower than prices elsewhere, Britain would stop importing goods that could now be obtained more cheaply at home than they could be obtained abroad, while foreigners would begin exporting all they could from Britain to take advantage of low British prices. British exports would rise and imports fall, causing an inflow of gold into Britain. But, as gold flowed into Britain, British prices would rise, thereby reducing the British competitive advantage, causing imports to increase and exports to decrease, and consequently reducing the inflow of gold. The adjustment process would continue until British prices and wages had risen to a level equal to that in other countries, thus eliminating the British balance-of-trade surplus and terminating the inflow of gold.

This was a very nice argument, and Hume, a consummate literary stylist, expressed it beautifully. There is only one problem: Hume ignored that the prices of tradable goods (those that can be imported or exported or those that compete with imports and exports) are determined not in isolated domestic markets, but in international markets, so the premise that all British prices, like the British stock of gold, would fall by 80% was clearly wrong. Nevertheless, the disconnect between the simple quantity theory and the idea that the prices of tradable goods are determined in international markets was widely ignored by subsequent writers. Although Adam Smith, David Ricardo, and J. S. Mill avoided the fallacy, but without explicit criticism of Hume, while Henry Thornton, in his great work The Paper Credit of Great Britain, alternately embraced it and rejected it, the Humean analysis, by the end of the nineteenth century, if not earlier, had become the established orthodoxy.

Towards the middle of the nineteenth century, there was a famous series of controversies over the Bank Charter Act of 1844, in which two groups of economists the Currency School in support and the Banking School in opposition argued about the key provisions of the Act: to centralize the issue of Banknotes in Great Britain within the Bank of England and to prohibit the Bank of England from issuing additional banknotes, beyond the fixed quantity of “unbacked” notes (i.e. without gold cover) already in circulation, unless the additional banknotes were issued in exchange for a corresponding amount of gold coin or bullion. In other words, the Bank Charter Act imposed a 100% marginal reserve requirement on the issue of additional banknotes by the Bank of England, thereby codifying what was then known as the Currency Principle, the idea being that the fluctuation in the total quantity of Banknotes ought to track exactly the Humean mechanism in which the quantity of money in circulation changes pound for pound with the import or export of gold.

The doctrinal history of the controversies about the Bank Charter Act are very confused, and I have written about them at length in several papers (this, this, and this) and in my book on free banking, so I don’t want to go over that ground again here. But until the advent of the monetary approach to the balance of payments in the late 1960s and early 1970s, the thinking of the economics profession about monetary adjustment under the gold standard was largely in a state of confusion, the underlying fallacy of PSFM having remained largely unrecognized. One of the few who avoided the confusion was R. G. Hawtrey, who had anticipated all the important elements of the monetary approach to the balance of payments, but whose work had been largely forgotten in the wake of the General Theory.

Two important papers changed the landscape. The first was a 1976 paper by Donald McCloskey and Richard Zecher “How the Gold Standard Really Worked” which explained that a whole slew of supposed anomalies in the empirical literature on the gold standard were easily explained if the Humean PSFM was disregarded. The second was Paul Samuelson’s 1980 paper “A Corrected Version of Hume’s Equilibrating Mechanisms for International Trade,” showing that the change in relative price levels — the mechanism whereby international monetary equilibrium is supposedly restored according to PSFM — is irrelevant to the adjustment process when arbitrage constraints on tradable goods are effective. The burden of the adjustment is carried by changes in spending patterns that restore desired asset holdings to their equilibrium levels, independently of relative-price-level effects. Samuelson further showed that even when, owing to the existence of non-tradable goods, there are relative-price-level effects, those effects are irrelevant to the adjustment process that restores equilibrium.

What was missing from Hume’s analysis was the concept of a demand to hold money (or gold). The difference between desired and actual holdings of cash imply corresponding changes in expenditure, and those changes in expenditure restore equilibrium in money (gold) holdings independent of any price effects. Lacking any theory of the demand to hold money (or gold), Hume had to rely on a price-level adjustment to explain how equilibrium is restored after a change in the quantity of gold in one country. Hume’s misstep set monetary economics off on a two-century detour, avoided by only a relative handful of economists, in explaining the process of international adjustment.

So historically there have been two paradigms of international adjustment under the gold standard: 1) the better-known, but incorrect, Humean PSFM based on relative-price-level differences which induce self-correcting gold flows that, in turn, are supposed to eliminate the price-level differences, and 2) the not-so-well-known, but correct, arbitrage-monetary-adjustment theory. Under the PSFM, the adjustment can occur only if gold flows give rise to relative-price-level adjustments. But, under PSFM, for those relative-price-level adjustments to occur, gold flows have to change the domestic money stock, because it is the quantity of domestic money that governs the domestic price level.

That is why if you believe, as Milton Friedman did, in PSFM, sterilization is such a big deal. Relative domestic price levels are correlated with relative domestic money stocks, so if a gold inflow into a country does not change its domestic money stock, the necessary increase in the relative price level of the country receiving the gold inflow cannot occur. The “automatic” adjustment mechanism under the gold standard has been blocked, implying that if there is sterilization, the gold standard is rendered fraudulent.

But we now know that that is not how the gold standard works. The point of gold flows was not to change relative price levels. International adjustment required changes in domestic money supplies to be sure, but, under the gold standard, changes in domestic money supplies are essentially unavoidable. Thus, in his 1932 defense of the insane Bank of France, Hayek pointed out that the domestic quantity of money had in fact increased in France along with French gold holdings. To Hayek, this meant that the Bank of France was not sterilizing the gold inflow. Friedman would have said that, given the gold inflow, the French money stock ought to have increased by a far larger amount than it actually did.

Neither Hayek nor Friedman understood what was happening. The French public wanted to increase their holdings of money. Because the French government imposed high gold reserve requirements (but less than 100%) on the creation of French banknotes and deposits, increasing holdings of money required the French to restrict their spending sufficiently to create a balance-of-trade surplus large enough to induce the inflow of gold needed to satisfy the reserve requirements on the desired increase in cash holdings. The direction of causation was exactly the opposite of what Friedman thought. It was the desired increase in the amount of francs that the French wanted to hold that (given the level of gold reserve requirements) induced the increase in French gold holdings.

But this doesn’t mean, as Hayek argued, that the insane Bank of France was not wreaking havoc on the international monetary system. By advocating a banking law that imposed very high gold reserve requirements and by insisting on redeeming almost all of its non-gold foreign exchange reserves into gold bullion, the insane Bank of France, along with the clueless Federal Reserve, generated a huge increase in the international monetary demand for gold, which was the proximate cause of the worldwide deflation that began in 1929 and continued till 1933. The problem was not a misalignment between relative price levels, which is sterilization supposedly causes; the problem was a worldwide deflation that afflicted all countries on the gold standard, and was avoidable only by escaping from the gold standard.

At any rate, the concept of sterilization does nothing to enhance our understanding of that deflationary process. And whatever defects there were in the way that central banks were operating under the gold standard in the 1920s, the concept of sterilization averts attention from the critical problem which was the increasing demand of the world’s central banks, especially the Bank of France and the Federal Reserve, for gold reserves.

Hawtrey’s Good and Bad Trade, Part VII: International Adjustment to a Demand Shift

In this installment, I will provide a very quick overview of Hawtrey’s chapters 10 and 11, and point out a minor defect in his argument about the international adjustment process. Having explained the international adjustment process to a monetary disturbance in chapter 9, Hawtrey uses the next two chapters to give a brief, but highly insightful, account of the process of economic growth, expanding human settlement into new geographic locations, thereby showing an acute sense of the importance of geography and location in economic development, and of the process by which newly extracted gold is exported from gold-producing to gold-importing areas, even though, under the gold standard, the value of gold is the same all over the world (chapter 10). Hawtrey then examines the process of adjustment to a reduction in the demand for a product exported by a particular country. Hawtrey explains the adjustment processes first under the assumption that the exchange rate is allowed to adjust (all countries being assumed to have inconvertible fiat currencies). and, then, under the assumption that all money is convertible into gold and exchange rates are fixed (at least within the limits of gold import and export points).

The analysis is pretty straightforward. Starting from a state of equilibrium, if the worldwide demand for one of country A’s export products (say hats) declines, with the increased expenditure shared among all other commodities, country A will experience a balance-of-payments deficit, requiring a depreciation of the exchange rate of the currency of country exchange against other currencies. In the meantime, country A’s hat producers will have to cut output, thus laying off workers. The workers are unlikely to accept an offer of reduced wages from country A hat producers, correctly reasoning that they may be able to find work elsewhere at close to their old wage. In fact the depreciation of country A’s currency will offer some incentive to country A’s other producers to expand output, eventually reabsorbing the workers laid off by country A’s hat producers. The point is that a demand shift, though leading to a substantial reduction in the output and employment of one industry, does not trigger the wider contraction in economic activity characteristic of cyclical disturbances. Sectoral shifts in demand don’t normally lead to cyclical downturns.

Hawtrey then goes through the analysis under the assumption that all countries are on the gold standard. What happens under the gold standard, according to Hawtrey, is that the balance-of-payments deficit caused by the demand shift requires the export of gold to cover the deficit. The exported gold comes out of the gold reserves held by the banks. When banks see that their gold reserves are diminishing, they in turn raise interest rates as a way of stemming the outflow of gold. The increase in the rate of interest will tend to restrain total spending, which tends to reduce imports and encourage exports. Hawtrey goes through a somewhat abstruse numerical example, which I will spare you, to show how much the internal demand for gold falls as a result of the reduction in demand for country A’s hats. This all seems generally correct.

However, there is one point on which I would take issue with Hawtrey. He writes:

But even so equilibrium is not yet reached. For the export of hats has been diminished by 20 percent, and if the prices ruling in other industries are the same, relatively to those ruling abroad, as before, the imports of those commodities will be unchanged. There must therefore be a further export of gold to lower the general level of prices and so to encourage exports and discourage imports. (pp. 137-38)

Here is an example of the mistaken reasoning that I pointed out in my previous post, a failure to notice that the prices of all internationally traded commodities are fixed by arbitrage (at least as a first approximation) not by the domestic quantity of gold. The export of gold does nothing to reduce the prices of the products of the other industries in country A, which are determined in international markets. Given the internationally determined prices for those goods, equilibrium will have to be restored by the adjustment of wages in country A to make it profitable for country A’s exporting industries and import-competing industries to increase their output, thereby absorbing the workers displaced from country A’s hat industry. As I showed in my previous post, Hawtrey eventually came to understand this point. But in 1913, he had still not freed himself from that misunderstanding originally perpetrated by David Hume in his famous essay “Of the Balance of Trade,” expounding what came to be known as the price-specie-flow mechanism.

About Me

David Glasner
Washington, DC

I am an economist in the Washington DC area. My research and writing has been mostly on monetary economics and policy and the history of economics. In my book Free Banking and Monetary Reform, I argued for a non-Monetarist non-Keynesian approach to monetary policy, based on a theory of a competitive supply of money. Over the years, I have become increasingly impressed by the similarities between my approach and that of R. G. Hawtrey and hope to bring Hawtrey's unduly neglected contributions to the attention of a wider audience.

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