The Exchange Rate Between 500 Euro Notes and Smaller Notes

Link to “High-denomination banknotes: Cash talk”

In “An Underappreciated Power of a Central Bank: Determining the Relative Prices between the Various Forms of Money Under Its Jurisdiction” I write:

It Isn’t the Face Value that Determines How Much Each Type of Paper Currency is Worth. To see this role of a central bank clearly, consider a case where not only direct access to the central bank, but access to the banking system in general is problematic: the criminal underworld. Think of the standard scene in American mob movies in which the mobster demands a suitcase full of cash in tens and twenties. Why tens and twenties? Using the banking system often increases the chance that a criminal will get caught. Money can be laundered, but it is easier to launder tens and twenties. So, at least near the point of money laundering, ten ten-dollar bills are worth more than one hard-to-launder hundred-dollar bill. That means that if you bring me a suitcase full of one-hundred dollar bills with the same face value as a suitcase full of tens and twenties, you are bringing me less value—you have cheated me.

I was intrigued to read in the Economist article “High-denomination banknotes: Cash talk” about the exchange rate between different denominations when transportation is the immediate issue rather than laundering:

A report from Europol recounts how criminals will sometimes pay more than face value for high-value notes because of how convenient they are to transport.

This is one more example showing that it is not the face value that determines the relative price of different forms of money, but the rate at which they can be exchanged, whether at the cash window of the central bank, at a private bank or in the relevant market. For central banks, the possibility of modifying the exchange rate between different denominations is not particularly important, but the possibility of modifying the exchange rate between paper currency and electronic money is very important because it makes it easy to generate a negative rate of return on paper currency to match negative interest rates in bank accounts, and thereby eliminate any effective lower bound for interest rates.

How and Why to Eliminate the Zero Lower Bound (Part 2)

History of Thought and Economic History

Q&A, Discussion and Rebuttal

Storified Twitter Discussions

Reactions

Why Financial Stability Concerns Are Not a Reason to Shy Away from a Robust Negative Interest Rate Policy

Because the Great Recession was triggered by the Financial Crisis of 2008, financial stability concerns have been high on the agenda of central banks. Indeed, some central bankers now worry about avoiding financial instability every bit as much as they worry about avoiding inflation and unemployment. So it is worth directly addressing financial stability concerns that some central bankers have about a robust negative interest rate policy. 

The particular concern many people have is that lower interest rates might increase financial instability. There are several possible mechanisms for this: 

  • The simplest is that lower interest rates might make asset prices go up and this allows households and firms to borrow more without exceeding legal or customary ceilings on leverage. Then if the asset prices ever go back down, bankruptcy could be near at hand.
  • The second is “reaching for yield” caused by institutional settings or psychological mindsets in which there is effectively a target expected return or “yield,” and the amount of risk bearing is adjusted in order to meet that expected return target. (See “Contra John Taylor” and “Reaching for Yield: The Effects of Interest Rates on Risk-Taking.”)
  • The third is that low interest rates magnify the importance of the relatively distant future on the present value of an asset. Opinions on the relatively distant future are likely to differ from investor to investor and to change quite a bit over time even for the same investor. Because there is so little to go on, the human penchant for responding to stories can have relatively free play. (See “Robert Shiller: Against the Efficient Markets Theory” plus “Dr. Smith and the Asset Bubble.”)
  • The fourth is that as interest rates fall, it becomes attractive to banks and other financial institutions to provide credit to people who previously were not considered creditworthy.   

Although these are genuine concerns, it would be a mistake to let these concerns paralyze monetary policy–as they easily could: in “Monetary Policy and Financial Stability” I argue that central transmission mechanisms for monetary stimulus work through pushing up asset prices and relaxing credit constraints for those who previously had a hard time getting a loan. 

As I discussed in “Meet the Fed’s New Intellectual Powerhouse,” to the extent that risk premia go down, showing a greater appetite for risk–or less fear of risk–it is appropriate to raise the safe interest rate; and conversely it is appropriate to lower the safe interest rate when risk premia go up–even aside from financial stability concerns. But I want to argue that if unemployment is high and inflation is low, it is appropriate to cut interest rates (even into the negative region) to stimulate the economy even if risk premia stay the same.    

Three Arguments for a Robust Negative Interest Rate Policy Even in the Face of Financial Stability Concerns

1. High Equity Requirements are Powerful Enough to Mitigate Financial Stability Concerns. I view equity requirements (sometimes called “capital” requirements)–or equivalently leverage limits–as being powerful medicine to raise financial stability. If people are betting their own money by holding stock rather than borrowing money that someone expects back in full, any decline in the value of a bank, business, or other asset will be absorbed by the stockholders. Then there is no bankruptcy, no contagion, and no temptation for the government to do a bailout, because no debt is being defaulted on. I feel as passionately about the need for high equity requirements as I do about the need to have deep negative interest rates (including negative interest rates on paper currency) in the monetary policy toolkit. Here are links to some of what I have said about the importance of having high equity requirements: 

Why negative interest rates should be combined with high equity requirements: In times when unemployment is high, output is below its natural level, and inflation is coming down, low interest rates–and often negative interest rates–are called for. But negative interest rates are much safer in conjunction with high equity requirements. Conversely, when financial instability threatens, high equity requirements are called for, but they are safer when negative interest rates are ready to hand to deal with any negative aggregate demand effects of the high equity requirements. 

At the top of this post, I diagram the idea that high equity requirements have a big positive effect on financial stability, but some negative effect on aggregate demand, while negative interest rates (or more generally low interest rates) have a big positive effect on aggregate demand, but have some effect in reducing financial stability. This means that if high equity requirements and negative interest rates are combined, it is possible to get both more financial stability and more aggregate demand. Low interest rates can more than make up for the reduction in aggregate demand caused by higher equity requirements, while the high equity requirements more than make up for the reduction in financial stability from the negative interest rates. 

2. Negative Short-Term Interest Rates Raise Long-Term Interest Rates. Long-term interest rates matter more for asset prices than short-term interest rates. Therefore, those concerned about financial stability should worry most about low long-term interest rates. There are two reasons the ability to generate a brief period of deep negative short-term interest rates should raise long-term interest rates. The first is that a brief period of deep negative short-term rates is the path to economic recovery if the economy is in a deep recession or a potentially long-lasting slump. Businesses and households are much more eager to borrow when the economy looks healthy than when it looks sick. So interest rates tend to be higher when the economy is doing well than when it is doing badly. It may seem paradoxical that negative rates are the path to higher interest rates, but the paradox is dissolved when one realizes that economic recovery is in between. Because it is the long-term rates that matter most for asset prices, an extended period of years and years of zero interest rates is much more dangerous for financial stability than a brief period of deep negative rates followed by a return distinctly positive interest rates. One of the worst things for financial stability is an unending slump with the economy stuck at an unwisely maintained zero lower bound. 

The second reason having deep negative interest rates in the toolkit allows higher long-term interest rates is that eliminating the zero lower bound and thereby bringing the possibility of deep negative interest rates into the picture means that quantitative easing is no longer needed. As practiced in recent years in the US, the UK and Europe, quantitative easing has involved pushing down long-term interest rates relative to short-term interest rates. This gives a high ratio of pushing asset prices up (”asset price inflation”) relative to the aggregate demand it provides. I claim that cutting short-term rates has a better ratio of extra aggregate demand provided to effect on asset prices. (I owe you an entire post on this point.) 

3. Short of Monetary Policy that Allows a Perpetual Slump, the Medium- to Long-Run Real Interest Rate Situation is Not Affected by Monetary Policy. 

Because central banks operate in important measure by changing interest rates in the short-run, many people think that they determine real interest rates in the medium- and long-run. But unless a central bank allows a perpetual slump, with output continually below the natural level, what happens in the medium- and long-run in real terms is not much affected by what the central bank does. That includes not just what happens to economic growth in the medium- and long-run, but also what happens to the real interest rate. (See “Mario Draghi Reminds Everyone that Central Banks Do Not Determine the Medium-Run Natural Interest Rate.”) So whatever the effect of real interest rates in the medium- and long-run on financial stability, that effect real interest rates in the medium- and long-run is beyond the power of monetary policy to affect–except to the extent the central bank makes things worse for financial stability by allowing a perpetual slump or better for financial stability by escaping a perpetual slump (Argument 2 above). 

If medium- to long-run forces are causing financial instability, this must be fought with non-monetary tools. High equity requirements are the first line of defense. If greater financial stability is desired than high equity requirements (and perhaps a few complementary financial rules) alone can provide, another useful supplementary remedy is a contrarian sovereign wealth fund. (See “Roger Farmer and Miles Kimball on the Value of Sovereign Wealth Funds for Economic Stabilization.” Ever since I wrote “Q&A on the Financial Cycle” I have been aware that even if the economy is kept at the natural level of output at all times so that the business cycle has been stabilized, there would remain the issue of stabilizing the financial cycle if there are noise traders or other forces–such as some version Minsky mechanisms–that continue to cause a financial cycle even in the presence of high equity requirements.)

Conclusion

Negative interest rates are no panacea. They merely make it possible for decisive movements in short-term interest rates to accomplish the basic purpose of monetary policy: keeping the economy in medium-run equilibrium with output at the natural level. 

Negative interest rates are a marvelous solution to empowering monetary policy to do its job, but negative interest rates are no economic policy panacea because monetary policy can’t do everything. In addition to not being the answer to generating long-run economic growth, monetary policy alone can’t create financial stability except at the cost of a sluggish economy. High equity requirements and other approaches to gaining greater financial stability are needed in addition to monetary policy to get good results. Fortunately, since aggregate demand is no longer scarce when deep negative interest rates are available, any drag on aggregate demand from higher equity requirements is not a serious concern. So it is reasonable to push quite far toward higher equity requirements in order to ensure financial stability.

Update: “Long-Run” vs. “Long-Term.” In the discussion of interest rates in the medium- to long-run above, it would be easy to confuse “long-run” with “long-term” and to confuse “medium-run” with “medium-term,” which in turn would make the argument hard to understand. The “medium-run” as the economic concept I mean is a period from about 3 to 12 years out, while the “long-run” is a period beyond 12 years or so. Going toward brevity in my terminology, the short-run is a period from 1 to 3 years out, while the ultra-short run is a period from now to 1 year out.  

By contrast, according to the usual terminology in financial markets, “medium-term interest rates” might be interest rates available now covering a period from now to 2 years from now, or from now to 5 years from now. And interest rates available now covering a period from now to more than 5 years from now would typically be called “long-term” interest rates. Thus, most of the span covered by medium-term interest rates available now is what I would call the “short-run.” And the short-run is even an important part of the span covered by long-term interest rates available now. 

My claim is that short-term forward real (inflation-adjusted) rates from 3 to 12 years out, and certainly beyond 12 years out should be mostly unaffected by any predictable monetary policy unless the central bank is allowing a perpetual slump by not breaking through the zero lower bound.

Mario Draghi Reminds Everyone that Central Banks Do Not Determine the Medium-Run Natural Interest Rate

Link to the May 2, 2016 Wall Street Journal article “ECB Chief Mario Draghi Fires Back at German Critics” by Tom Fairless

Many complaints about central bank policy seem to assume that the medium-run natural interest rate is under a central bank’s control. It isn’t. 

In “The Medium-Run Natural Interest Rate and the Short-Run Natural Interest Rate” I define the medium-run natural interest rate as follows:

  • medium-run natural interest rate: the interest rate that would prevail at the existing levels of technology and capital if all stickiness of prices and wages were suddenly swept away. That is, the natural rate of interest rate is the interest rate that would prevail in the real-business cycle model that lies behind a sticky-price, sticky-wage, or sticky-price-and-sticky-wage model.

In the standard view of monetary policy, which is the view that I take, other than keeping the long-run level of inflation low, a central bank’s principle and crucial job is to get the economy as close as possible to the medium-run equilibrium that corresponds to what an economy would do if all prices and wages were perfectly flexible. That is, a central bank’s job is to (1) keep the long-run inflation rate low and (2) do as much as possible to undo the effects of sticky prices and sticky wages on the real variables of the economy. 

By this definition of the medium-run equilibrium, the central bank no control over the real variables in the medium-run equilibrium, other than things such as real money balances in the medium-run equilibrium. And since there is only one level of aggregate demand the gets the economy to the medium-run equilibrium–that is, saying “medium-run equilibrium” already stipulates a level of aggregate demand–the role of real money balances in the medium-run natural equilibrium is quite unexciting.

Using this terminology, hardcore “Real Business Cycle Theory” posits that the economy is always in the medium-run equilibrium, because prices and wages are almost perfectly flexible. But in discussing the nature of the medium-run equilibrium, the question of whether this is true or not is actually immaterial. The medium-run equilibrium is what would happen if the Real Business Cycle Theorists were right, whether they are or not. But the medium-run equilibrium is also close to what would happen if a central bank did a truly excellent job of monetary policy–better than any existing central bank so far, but within the range of possibility.   

If output is below its medium-run equilibrium level, the medium-run natural interest rate is likely to be above the current level of the interest rate. The reason is that businesses and households don’t like to invest when the economy is in a slump. Getting out of the slump tends to raise the interest rate. As I explain in “The Medium-Run Natural Interest Rate and the Short-Run Natural Interest Rate” and “On the Great Recession,” in a slump the path to raising the interest rate up to its higher medium-run equilibrium level is–somewhat paradoxically–through a path of cutting the interest rate in order to bring output up. Once output comes up, the interest rate will come up too. So Anyone who wants a higher interest rate should want the central bank to use a sharp reduction in interest rates for a few quarters in order to bring recovery and a sustainably higher interest rate. To try to go straight to a higher interest rate will push the economy into a worse slump and require lower interest rates to get on track–quite counterproductive from the point of view of those who want higher interest rates. 

Many people don’t understand the limitations of central banks. If they want higher interest rates, they think central banks can go there directly without serious side effects. That doesn’t work. In a slump, central banks need to get to higher interest rates by the proper path of cutting interest rates until the economy recovers; then interest rates can and should be raised. Raising interest rates first is like a sugar high for savers, that will lead to a crash when interest rates then have to be cut to stave off a double-dip recession.    

Just because central banks can’t affect the medium-run natural interest rate that is where things go if they do their jobs doesn’t mean there isn’t any reason to complain about low interest rates. In particular, low medium-run natural interest rates can be a symptom of a low rate of technological progress, which is definitely something to complain about–and something to do something about, by making sure that we fund basic research at a much higher level than we currently do and by making sure we don’t let regulations crush new firms doing new things in promising new ways. 

Less obviously a good thing, increases in government debt can raise the medium-run natural interest rate. And increases in the willingness to take risks can raise the medium-run natural interest rate, which I think is a good thing as long as people are really taking those risks themselves rather than angling to be bailed out by taxpayers. 

Draghi’s Speech

On his recent Asian trip, Mario Draghi, head of the European Central Bank (ECB), defended the ECB from attacks by the powerful argument that a central bank does not control the medium-run natural rate. Here are three key passages from the Wall Street Journal article linked at the top of this post:

1. “There is a temptation to conclude that…very low rates…are the problem,” Mr. Draghi said. “But they are not the problem. They are the symptom of an underlying problem.”

The global savings glut, Mr. Draghi said, is being perpetuated by economies in Asia and in the eurozone, notably Germany. “Our largest economy, Germany, has had a [current account] surplus above 5% of GDP for almost a decade,” Mr. Draghi said. 

2. In unusually blunt criticism last month, German Finance Minister Wolfgang Schäuble called for an end to easy-money policies … suggesting [the ECB’s] low interest rates had hurt savers.

Mr. Draghi directed criticism directly back at Berlin. “Those advocating a lesser role for monetary policy or a shorter period of monetary expansion necessarily imply a larger role for fiscal policy”

3. Mr. Draghi stressed that the ECB’s policies are helping savers, and said governments, not central banks, should address the underlying economic causes of low rates. He also urged savers in Germany to boost their returns by diversifying their investments, mimicking their counterparts across the Atlantic.

“U.S. households allocate about a third of their financial assets to equities, whereas the equivalent figure for French and Italian households is about one- fifth, and for German households only one-tenth,” Mr. Draghi said.

Let me interpret these statements. 1. Mario Draghi effectively says that medium-run international capital flows affect the medium-run natural interest rate. 2. Mario Draghi effectively says that to get the medium-run equilibrium requires closing the output gap either through monetary or fiscal policy. He criticizes German fiscal policy. But the criticism of German fiscal policy is not necessary for the point. The point is just that if fiscal policy doesn’t do it, then monetary policy needs to. As I have pointed out many times, monetary policy is more reliable, simply because it is not tangled up in politics. A sensible approach is to take what fiscal policy one can get politically (after whatever advice one wants to give), then do the rest of the job with monetary policy. 3. Mario Draghi effectively reminds savers that a healthy economy tends to raise interest rates compared to a slump, then makes the interesting point that expected rates of return can be raised by taking on more risk. There is a more subtle point Mario Draghi doesn’t make: if more people raised the expected rate of return on their savings by taking on more risks, then the risk-free rate for those who don’t want to take on those risks is also likely to be higher. The worst thing for savers is if they aren’t eager to take risks and no one else is eager to take risks either. Then everyone tries (unsuccessfully, given limited supply) to crowd into the risk-free assets and lowers their rate of return (or something even worse happens if the central bank doesn’t do its job of keeping the economy as close as possible to the medium-run equilibrium).  

The bottom line is that it is crucial to understand what central banks can and can’t do. Central banks can get the economy close to the medium-run equilibrum, which entails lowering interest rates to raise them (after recovery) and raising interest rates to lower them (after reining in an overheated economy). But central banks cannot determine the interest rate that prevails once they have done their job. To repeat, central banks cannot determine the interest rate that prevails in the medium-run equilibium any more than they can keep output permanently above its medium-run equilibrium. 

As I write in “The Deep Magic of Money and the Deeper Magic of the Supply Side,” the supply side is the place to turn to raise the natural level of output that prevails in the medium-run equilibrium. But those who agree about the supply-side roots of the natural level of output need to also remember that the supply side is the place to turn to raise the natural interest rate that prevails in the medium-run equilibrium. Monetary policy can’t do it. 

Note: The argument of this post is important in the later post “Why Financial Stability Concerns Are Not a Reason to Shy Away from a Robust Negative Interest Rate Policy.” In that later post, you may find the update at the end, “Long-Run” vs. “Long-Term” helpful.

Is the Swiss National Bank Ready to Limit Convertibility of Electronic Money to Paper Currency?

Link to May 2, 2016 Reuters article “SNB could seek to prevent banks hoarding cash if franc soars: Roubini group.”Thanks to Makoto Shimizu for pointing me to this article.

Yesterday, Reuters reported

The Swiss National Bank might seek authority to stop commercial banks converting reserves into cash if its current policy arsenal failed to prevent a major appreciation of the franc, economist Nouriel Roubini’s research group said [in a] report published by the group on Monday after a meeting with SNB officials …

One option would be to prevent banks from switching reserves into cash. That would require a new law, but the Roubini Global Economics report said SNB officials “were confident that the legislation could be changed …to give the bank this authority”.

I find this intriguing because the heart of my proposal to eliminate the zero lower bound is to generate a negative paper currency interest rate when necessary by having the exchange rate giving the value of paper currency relative to electronic money that applies at the cash window of the central bank gradually depreciate over time. So any change in the ability of private banks to exchange reserves for paper currency or paper currency for reserves at the cash window of the central bank is of great importance as a precedent. 

The most natural reading of the Reuters description is that banks would no longer be able to convert electronic reserves into paper currency. That is equivalent to making the “ask” price for paper currency at the cash window of the central bank prohibitively high. In all likelihood, forcing private entities to get paper Swiss francs (with a face interest rate of zero) from each other rather than the central bank would make the market value of paper Swiss francs in a negative rate environment rise above par. 

On problem with a policy that makes the value of paper currency go above par is that anticipation of this policy could lead to the very hoarding of paper currency that the actual institution of the policy is meant to inhibit. By contrast, my proposal of having the value of paper currency start at par and then gradually depreciate below par (both bid and ask prices for paper currency gradually going down) works fine, without any such side effects, even if fully anticipated. It is also less disruptive than making paper currency scarce. 

One thing I have not emphasized enough about my proposal is that it can be seen as flooding the market with paper currency more and more over time, and thereby making the rate of return on paper currency lower. Thus, it is the opposite of a policy of trying to make paper currency scarce. My recommended policy would make paper currency abundant, but give it a low rate of return because of its gradually increasing abundance. There is a sense in which this is like a helicopter drop of paper currency to those who hold electronic money without any helicopter drop of electronic money. So as long as electronic money provides the unit of account, this helicopter drop creates the good “inflation”–inflation relative to paper currency–without creating any of the  bad inflation–inflation relative to the unit of account, which in this case is the electronic Swiss franc. This careful targeting of having higher “inflation” where needed to eliminate the danger of people pulling money out of banks and shifting into paper currency without all the disruption of true inflation (relative to the unit of account) is a great virtue of going off the paper standard.  

I have some hopes that Reuters, and perhaps the Roubini group, have misunderstood what the Swiss National Bank intends–and that they, in fact, intend to move in the direction of what I have proposed. Indeed, I have a genuine hope that the staff at the Swiss National Bank has studied carefully the things I have written about eliminating the zero lower bound that are collected in “How and Why to Eliminate the Zero Lower Bound: A Reader’s Guide.” And I am hoping to arrange a second visit (my first was on July 15, 2014) to the Swiss National Bank sometime in Fall 2016 to discuss different approaches to eliminating the zero lower bound.  

Beyond Pro-Government and Anti-Government

In countries that manage to escape worse problems (such as serious ethnic divisions) and even in many that do have worse problems, the main political parties are often arrayed on a spectrum from lower-tax, lower-spending, less government regulation parties to higher-tax, higher-spending, more government regulation parties. In these countries, the unending struggle about long-run fiscal policy tends to interfere with short-run fiscal stabilization as well–one reason monetary policy unconstrained by a zero lower bound is so valuable. But the unending struggle between those for bigger vs. those for smaller government also often gets in the way of sound policy that would have the government act when it should and leave people alone when it should. Distinguishing when the government should act and when it should leave people alone is the central theme of John Stuart Mill’s On Liberty. In the 8th paragraph of the “Introductory” to On Liberty, he writes:

In England, from the peculiar circumstances of our political history, though the yoke of opinion is perhaps heavier, that of law is lighter, than in most other countries of Europe; and there is considerable jealousy of direct interference, by the legislative or the executive power, with private conduct; not so much from any just regard for the independence of the individual, as from the still subsisting habit of looking on the government as representing an opposite interest to the public. The majority have not yet learnt to feel the power of the government their power, or its opinions their opinions. When they do so, individual liberty will probably be as much exposed to invasion from the government, as it already is from public opinion. But, as yet, there is a considerable amount of feeling ready to be called forth against any attempt of the law to control individuals in things in which they have not hitherto been accustomed to be controlled by it; and this with very little discrimination as to whether the matter is, or is not, within the legitimate sphere of legal control; insomuch that the feeling, highly salutary on the whole, is perhaps quite as often misplaced as well grounded in the particular instances of its application. There is, in fact, no recognised principle by which the propriety or impropriety of government interference is customarily tested. People decide according to their personal preferences. Some, whenever they see any good to be done, or evil to be remedied, would willingly instigate the government to undertake the business; while others prefer to bear almost any amount of social evil, rather than add one to the departments of human interests amenable to governmental control. And men range themselves on one or the other side in any particular case, according to this general direction of their sentiments; or according to the degree of interest which they feel in the particular thing which it is proposed that the government should do, or according to the belief they entertain that the government would, or would not, do it in the manner they prefer; but very rarely on account of any opinion to which they consistently adhere, as to what things are fit to be done by a government. And it seems to me that in consequence of this absence of rule or principle, one side is at present as often wrong as the other; the interference of government is, with about equal frequency, improperly invoked and improperly condemned.

As examples of where it can sometimes be hard for people to distinguish appropriate government action form inappropriate action there are many very different types of rules that go under the heading of “government regulation,” some good, some bad. Part of what is called government regulation–such as high equity requirements for banks–is a matter of clearly delineating property rights. Other regulations simply spell out what terminology should be used so that people are not deceived by others they are selling to or buying from. Other government regulations are inappropriate meddling. And yet other regulations are even worse: they are government-enforced restraints on trade that boost profits at the expense of people getting what they want and need from robust competition. Here local governments are often the worst offenders. On this, see “John Stuart Mill: The Central Government Should Be Slow to Overrule, but Quick to Denounce Bad Actions of Local Governments.” 

David Pagnucco: The Eurozone and the Impossible Trinity

Link to David Pagnucco’s Linked In homepage

I am pleased to host another student guest post, this time by David Pagnucco. This is the 13th student guest post this semester, rounding out the semester. You can see all the student guest posts from my “Monetary and Financial Theory” class at this link.


European Union countries considering to join the Eurozone must evaluate the major risk of forgoing their sovereign monetary policy before adopting the euro.

Joining the Eurozone poses numerous risks and benefits for European Union countries outside the zone. In Rick Lyman’s article, leaders from non-Eurozone countries evaluate the risks they face in joining the Eurozone. Some of the major recent factors countries are assessing include political attitudes, the Greek crisis, and domestic fiscal set backs. In order to weigh these risks and benefits, the impossible trinity can be used to describe them. The impossible trinity illustrates that a nation cannot have free capital flows, a sovereign monetary policy, and a fixed exchange rate at the same time. They must choose a position and sacrifice one of the policies.

For example, Eurozone members are at position a in which their single currency allows them to have free capital flows and a fixed exchange rate. On the other hand, European Union members not in the Eurozone are at position b, in which their differing domestic currencies allow them to have free capital flows and a sovereign monetary policy. One of the main goals in creating the European Union was to create a single unified market with free capital flows, and all European Union members share this aspect. However, with the creation of the euro, Eurozone members lose control of their domestic monetary policies. This is the greatest risk facing non-Eurozone members, as they no longer can change their money supply to stimulate or slow down their economies’ growth according to their own preferences.

The European Central Bank creates the central monetary policy for Eurozone members, and a governing council member, Philip Lane, stated that the ECB will continue to increase its government bond purchases. This will ultimately increase the supply of the euro and decrease interest rates, resulting in lower borrowing costs for households and firms that will help stimulate the economy. If the ECB sets the monetary policy for all Eurozone members, what happens if a country within the Eurozone does not want the ECB’s particular policy? This is a major dilemma for countries considering to join the Eurozone. Countries outside the Eurozone may have differing preferences on interest rates, inflation, and unemployment than the ECB’s established policy. For example, consider if Poland were to adopt the euro. If the ECB is using the expansionary monetary policy described by Philip Lane, Poland will be required to partake in it. If Poland does not want this policy, they will ultimately need to counter the ECB’s policy in a more complex way such as increasing taxes to deter economic growth.

Non-Eurozone countries, besides Britain, must adopt the euro at some point in the future, and the timing of the decision is critical because these countries’ economies must be stable and have basic economic convergence to have a successful change over to the euro. They need convergence in areas such as debt levels, GDP, and unemployment to ensure that the ECB’s policies are effective. Overall, the decision to switch to the euro is a major change, and new members must be sure their economies are ready for the switch.

Andrew Cuatto: Deus Ex Helicopter—Not

Link to Andrew Cuatto’s Linked In homepage

I am pleased to host another student guest post, this time by Andrew Cuatto. This is the 12th student guest post this semester. You can see all the student guest posts from my “Monetary and Financial Theory” class at this link.


Greg Ip is overstating the effectiveness of helicopter money as a tool for jump-starting the economy.

With world economies still sluggish, more and more people are claiming that central banks are out of ammo in their fight against recessions. This has lead to an increase in calls for adopting less conventional monetary policy; something the Fed did when it used quantitative easing in response to the Great Recession. In a recent article in the Wall Street Journal Greg Ip explains how one of these policies, helicopter money, could be a viable solution for countries struggling with slow growth and looming deflation. However, Mr. Ip completely ignores the presence of the zero lower bound and overstates the effectiveness of helicopter money as a practical tool for jump-starting an economy.

Renowned economist Milton Friedman first coined the term “helicopter money” and simply put, it is a way of giving money directly to citizens. It works by the government issuing bonds to the central bank, which buy them using newly printed money. The central bank then promises never to sell the bonds or withdraw the newly created money from circulation. The government gives that money to its citizens and the central bank returns the interest earned on the bonds to the government.

As Miles clarified in “Helicopter Drops of Money Are Not the Answer,”

Printing money and sending it to people is equivalent to printing money to buy Treasury bills and then selling those Treasury bills to raise funds to send to people. Written as an equation:
printing money and sending it to people =
printing money to buy Treasury bills
+ selling Treasury bills to get funds that are sent to people
Here is the same equation, with the usual policy names attached:
helicopter drop = standard open market operation + tax rebate

Understanding helicopter money as a tax rebate financed by a standard open market operation makes it easier to see the limitations of this tool. Near the effective lower bound–the interest rate at which paper currency is a very close substitute for Treasury bills, even after accounting for storage costs , standard open market operations are not effective because they cannot push the interest rate any lower to stimulate spending. This means that a helicopter drop is now essentially just a tax rebate, and while tax rebates do impart some stimulus they are not nearly as effective as desired because not everyone spends the windfall.

As explained by a 2009 survey done by UM’s Matthew Shapiro:

Only one-fifth of respondents to a rider on the University of Michigan Survey Research Center’s Monthly Survey said that the 2008 tax rebates would lead them to mostly increase spending. Almost half said the rebate would mostly lead them to pay off debt, while about a third saying it would lead them mostly to save more. The survey responses imply that the aggregate propensity to spend from the rebate was about one-third, and that there would not be substantially more spending as a lagged effect of the rebates. Because of the low spending propensity, the rebates in 2008 provided low “bang for the buck” as economic stimulus.

What’s troubling is that despite the limitations of helicopter money, limitations that even Mr. Ip acknowledges, it seems to be gaining traction as a potential policy. European Central Bank chief Mario Draghi has said

… helicopter money is an interesting idea currently being explored by various economists. While this is certainly not an endorsement, he is not dismissing the possibility of helicopter money due to the perception that their latest attempt, negative interest rates, is already failing.

Rather than explore this radical and less efficient option, the ECB should work to strengthen their negative interest rate policy by, as our Miles suggests, establishing the electronic euro as the unit of account and introducing an exchange rate between paper and electronic currency. That way the negative rates can affect paper money as well and there will be no place to hide from the negative interest rates other than through physical investment or abroad–which would increase net capital outflows and in turn increase aggregate demand as desired.

Luckily there seems to be some growing consensus that negative interest rates can be a very powerful and effective instrument for monetary stimulus. Just last week International Monetary Fund Chief Christine Lagrande said that while we should closely monitor the potential side effects of negative interest rates these subzero rates are in fact a net positive for the global economy. This means that with negative rates it is possible to have an overall boost in world aggregate consumption as opposed to the very small bump given by helicopter drops.  

In theory, helicopter money would work, but it is not the most efficient option central banks have for battling recessions. Once people realize that powerful tools necessary to stabilize the economy are there, in the form of negative interest rates, helicopter drops will no longer get so much attention.  

Suparit Suwanik: Hope for a Phase-out of the 500 Euro Note

Link to Suparit Suwanik’s blog “Through the Eyes of a Central Banker”

I am pleased to host another student guest post, this time by Suparit Suwanik. This is the 11th student guest post this semester. You can see all the student guest posts from my “Monetary and Financial Theory” class at this link. This is Suparit’s second guest post. Don’t miss “Suparit Suwanik: Putting Paper Currency In Its Proper Place.”


With the world still suffering from the economic slowdown, it is good to see many major central banks, including the European Central Bank, implementing negative interest rates. This creates wide speculations on change in related policy, that is, paper currency. The change in cash policy is a necessary condition to release the power of negative interest rates. From what I wrote in “Putting Paper Currency In Its Proper Place”, stating that from Mario Draghi to Larry Summers, they were planning to get rid of the large notes, for example, €500 notes and $100 bills, until today, here is another development: the German central bank, the Bundesbank, supports a gradual phaseout of the €500 bank note!

Bundesbank President Jens Weidmann once said “the current discussion over [the €500 note] must be kept clearly separate from this monetary policy-motivated discussion on the abolition of cash.” However, in my humble opinion, this is a big step closer to cashless society in the Eurozone. And here are the reasons:

First, it is the Bundesbank, the most influential central bank in the Eurozone, which is normally perceived as very conservative. Its president remains a key player in crafting Eurozone monetary policy at the ECB. If the idea is supported by the Bundesbank, the rest of the central banks in the Eurozone are likely to follow.

Second, it is Germany, where cash payments remain very common and people place a high premium on individual privacy. According to a recent Bundesbank study, 79% of payments in Germany are made in cash – compared with only 48% in Britain. Even among 14- to 24-year-olds, two-thirds say they prefer paying in cash to electronic means. Of course, resistance is expected to be fierce against any change in paper currency. But the resistance will be much lighter if the change is at a gradual, yet steady, pace. In order to unleash the powerful effect of negative interest rates, it is the right time to start changing the policy.

Finally, it remains in doubt whether terrorists or criminals can really be stopped because large notes are eliminated, though it is claimed that the change in paper currency policy will be significant help in hindering money laundering and organized crime. In general, the criminal world tends to use small notes to avoid suspicion from authorities. Though I’m a supporter of negative interest rates, I agree with a German professor, Max Otte, who is strongly against the change in cash policy, that the elimination of the €500 note is becoming ever more likely and constitutes the start of the elimination of cash.

All in all, the sooner the change in cash policy is in effect, the better the economic effect of negative interest rates which the ECB is really hoping for. May the transition to electronic money society be smooth and glorious for the Eurozone!

Responding to Joseph Stiglitz on Negative Interest Rates

Link to the Wikipedia article for Joseph Stiglitz

I thought twice before I tweeted on Monday “Joe Stiglitz is making a fool of himself with his arguments against negative rates” in reaction to his April 13, 2016 Project Syndicate piece “What’s Wrong With Negative Rates?” wondering if I was being too hard on him. But then I thought to myself “I have no problem saying that I make a fool of myself with some regularity.” In particular, I often make of a fool of myself by venturing an opinion in order to see if someone can help me learn if I am wrong, and if so, why. I hope that Joe Stiglitz made a fool of himself in exactly that spirit–in which case I honor him for that.  

What Joe says is complex, so it is best to proceed point by point, even if that occasions some repetition. And it helps in separating the wheat from the chaff; Joe says some things that are correct, even though his bottom line is off target–in particular his final paragraph:

Of course, even in the best of circumstances, monetary policy’s ability to restore a slumping economy to full employment may be limited. But relying on the wrong model prevents central bankers from contributing what they can – and may even make a bad situation worse.

This final paragraph is quite wrong: 

  1. After eliminating the zero lower bound by freeing up the paper currency interest rate from its traditional value of zero, monetary policy alone has more than enough power to return an economy to the natural level of output. 
  2. The insights from standard models should not be dismissed so quickly.
  3. To the extent that central bankers are making a mistake, it is not by going to negative interest rates, but by keeping the paper currency interest rate at zero, with all the attendant strains that causes. 

In what follows, all block quotes that follow will be Joe Stiglitz’s words. 

1. An Aggregate Demand Problem

The underlying problem – which has plagued the global economy since the crisis, but has worsened slightly – is lack of global aggregate demand.

Correct. Lack of aggregate demand is hardly the only problem of the world economy (a slower rate of technological progress than from 1995-2003 may be a bigger problem), but it is a big and pressing problem. 

2. The Zero Lower Bound

Now, in response, the European Central Bank (ECB) has stepped up its stimulus, joining the Bank of Japan and a couple of other central banks in showing that the “zero lower bound” – the inability of interest rates to become negative – is a boundary only in the imagination of conventional economists.

Although the lower bound may not be at zero, a lot of the stresses and strains that are being felt from negative interest rate policy have to do with the fact that the paper currency interest rate has not yet been cut below zero to match target rates and interest rates on reserves. If the paper currency interest rates gets too far above the interest rate on reserves and the target rate, it is hard for banks to make a living on spreads in the way they are used to. In particular, it is hard for banks to lower the interest rates on checking accounts and saving accounts very far below zero without having small-scale depositors significantly raise their paper currency holdings and reduce the funds they hold in checking and savings accounts. The solution is simple: lower the paper currency interest rate, as I discuss in “If a Central Bank Cuts All of Its Interest Rates, Including the Paper Currency Interest Rate, Negative Interest Rates are a Much Fiercer Animal” and lay out in detail in two academic papers and many columns and blog posts I have collected links for in “How and Why to Eliminate the Zero Lower Bound: A Reader’s Guide.”

The so-called “zero lower bound,” should be thought of as a more complex danger of massive paper currency storage and of disintermediation away from the banking system into paper currency that begins to occur when the paper currency interest rate is kept too far above the target rate and the interest rate on reserves. This danger may or may not be well described by the phrase “the zero lower bound,” but it is not a myth. Much of what Joe says in his essay is pointing out that the danger of disintermediation is not a myth. Hence the importance of lowering the paper currency interest rate along with the target rate and the interest rate on reserves. 

3. Why Negative Rates Have Not Brought Full Recovery

Joe writes

And yet, in none of the economies attempting the unorthodox experiment of negative interest rates has there been a return to growth and full employment.

He has a sentence that should have followed immediately, but is several paragraphs further down:

Clearly, the idea that large corporations precisely calculate the interest rate at which they are willing to undertake investment – and that they would be willing to undertake a large number of projects if only interest rates were lowered by another 25 basis points – is absurd.

In other words, the 30 basis point cut in interest rates that the European Central Bank has made is a tiny dosage of negative rates. The effectiveness of negative interest rates has to be judged per basis point. When unhindered by a perceived zero lower bound, it is normal for a central bank in a recessionary situation to cut interest rates by 600 to 700 basis points (that is 6 or 7 percentage points). That is the kind of dosage that can be expected to get results. And go the extent that risk premia rose more during the Financial Crisis than during a normal recession, safe rates need to go enough lower to compensate for those higher risk premia. 

As can be seen from the graph above, the European Central Bank’s target rate was at about 4% in nominal terms at the onset of the Financial crisis. A 7 percentage point point cut would have taken the rate to -3%, which would have done a fairly good job. But a bit lower was probably appropriate given elevated risk premia. -4% in 2009 would have been an excellent policy, well within historical norms for an interest rate cut in a serious recession if one treats interest rates in the negative region on a par with interest rates in the positive region–as makes sense if one is taking the paper currency interest rate down along with other rates, so that spread between the paper currency interest rate and the target rate as small. Thinking of the norm as a 6 percentage point cut but the elevation of risk premia in this episode as 2% would have lead to the same recommendation of a -4% interest rate in 2009. But of course, after going to -4%, the European Central Bank should then have paid attention to the data about whether that was enough or not, and gone down further if need be, less if -4% was too stimulative.  

Note that even without the adjustment for elevated risk premia, the rule of thumb of a 6 percentage point cut to deal with recessions leads to a real interest rate below -2% during the trough if the real interest rate starts out below 4%. For a variety of reasons detailed in Lukasz Rachel and Thomas Smith’s excellent Bank of England blog post “Drivers of long-term global interest rates – can changes in desired savings and investment explain the fall?” the real medium-run natural rate of interest has been falling over the past few decades. So a 6 percentage point cut in interest rates in a recession needs to go down to lower real interest rate than before. For example, it is not at all unreasonable to think that the real medium-run natural rate of interest rate is hovering around .5%, which means that a real interest rate of -5.5% in the trough is appropriate medicine to bring economic recovery. 

Joe says correctly that -2% real interest rates haven’t done the trick:

In many economies – including Europe and the United States – real (inflation-adjusted) interest rates have been negative, sometimes as much as -2%. And yet, as real interest rates have fallen, business investment has stagnated.

Joe is also likely correct that a real interest rate of -3.5% or -4% would not be enough:

A decrease in the real interest rate – that on government bonds – to -3% or even -4% will make little or no difference.

But it is quite wrong to think that if nominal interest rate of -2%, which makes for a real interest rate of -4% at 2% inflation won’t do the trick that one should give up on negative interest rates. If one lowers the paper currency interest rate along with other rates, it is quite possible to have nominal interest rates at -4%, -5%, -6% or even -7% or lower if necessary. And that is the range standard rules of thumb suggest would be necessary–with the lower numbers in that range only necessary if there are unusual problems with the economy–which there might be. 

In “Even Central Bankers Need Lessons on the Transmission Mechanism for Negative Interest Rates” I wrote: “If starting from current conditions, any country can maintain interest rates at -7% or lower for two years without overheating its economy, then I am wrong about the power of negative interest rates.” Despite all the uncertainties about what is going on with key economies in the world, I stand by that statement–with the exception of a non-market economy such as North Korea where there is no true market interest rate. 

4. Will Negative Rates Make Lending Rates Increase?

Joe writes:

In some cases, the outcome has been unexpected: Some lending rates have actually increased.

The reason for raising lending rates in the wake of negative rates on reserves is presumably to increase profits for a bank that has had profits reduced by the negative interest rate on reserves. But the interest a bank earns on its lending to firms and households is enough separate from what it earns on what it lends to the central bank as reserves that if the bank can increase profits by raising its lending rates, it could probably have done that all along. The connection with negative deposit rates would then be that banks might hope governmental authorities will take pity on them, or be concerned enough about their balance sheets because of the negative rates they are paying on reserves that the governmental authorities give the banks less of a hard time about oligopolistically raising lending rates in the negative rate situation than they normally would. But this then boils down to a governmental concern about bank profits and bank balance sheets, which can be addressed in more direct and more productive ways than by allowing banks to exert more oligopoly power. 

5. How to Deal with Worries about the Effects of Negative Interest Rates on Bank Balance Sheets

Joe exhibits concern about the effects of negative rates on bank balance sheets in this passage:

Negative interest rates hurt banks’ balance sheets, with the “wealth effect” on banks overwhelming the small increase in incentives to lend. Unless policymakers are careful, lending rates could increase and credit availability decline.

Since banks live on spreads, the most basic way to avoid hurting bank profits and therefore bank balance sheets is to keep spreads normal. Quantitative easing tends to squeeze key spreads and so departs from that approach. And leaving the paper currency interest rate at zero while cutting the target rate and the interest rate on reserves also departs from that approach. The way to keep things as normal as possible for banks is to lower all government-controlled interest rates in tandem. In its latest move, the European Central Bank at least lowered its lending rates along with the interest rates on reserves. That was intended to be helpful to bank profits, and it is hard to doubt that it is. 

Even if the paper currency interest rate is negative, banks may have trouble explaining to small-scale, unsophisticated depositors why they need to have a negative interest rate on deposits. If banks therefore continue to give zero rates to small-scale, unsophisticated depositors, this is likely to hurt profits in a negative interest rate environment. But for the political acceptability of negative rates, it is in the interest of most central banks to support banks in continuing to give zero interest rates to small-scale, unsophisticated depositors. In “How to Handle Worries about the Effect of Negative Interest Rates on Bank Profits with Two-Tiered Interest-on-Reserves Policies,” I propose that central banks use tiers in the interest on reserves formula to effectively subsidize and incentivize banks in providing a zero interest rate to the first 1000 euros or so of average monthly balances per adult. (I discuss there how some kind of depositor identification is needed in order to avoid double-dipping.) At some cost to the seignorage that a central bank would otherwise gain from negative rates, this helps banks and shields most people (though only a small fraction of funds) from negative deposit rates. 

Of course, if banks were adequately capitalized to begin with, or otherwise have robust profits (perhaps because of very strong oligopoly power, as in Sweden), there may be no need to throw money to banks to help their balance sheets, which reduces but does not eliminate the benefits of subsidizing the provision of zero interest rates to small accounts. 

6. Can Negative Interest Rates Stimulate the Economy When Banks are Broken?

Joe has a passage talking generally about failed models that is a bit hard to interpret, but I think it has to do with his view that banks are central to understanding how the macroeconomy works. 

It should have been apparent that most central banks’ pre-crisis models – both the formal models and the mental models that guide policymakers’ thinking – were badly wrong. None predicted the crisis; and in very few of these economies has a semblance of full employment been restored. The ECB famously raised interest rates twice in 2011, just as the euro crisis was worsening and unemployment was increasing to double-digit levels, bringing deflation ever closer.

They continued to use the old discredited models, perhaps slightly modified. In these models, the interest rate is the key policy tool, to be dialed up and down to ensure good economic performance. If a positive interest rate doesn’t suffice, then a negative interest rate should do the trick.

The evidence for that interpretation comes in this subsequent passage:

It may come as a shock to non-economists, but banks play no role in the standard economic model that monetary policymakers have used for the last couple of decades. Of course, if there were no banks, there would be no central banks, either; but cognitive dissonance has seldom shaken central bankers’ confidence in their models.

I discussed above how to address concerns about bank balance sheets. I also discussed how to deal with increased risk premia: cut the safe rate enough further to compensate for the higher risk premia–that is, to lean towards–in effect–targeting the risky rates that firms and households borrow at rather than the safe rates that a government with reasonable finances can borrow at. This works well even if the negative rates themselves have some effect on the relevant risk premia, since risk premia will not be infinite. (And indeed, the models of credit rationing to which Joe contributed with his academic work say that while a higher loan interest rate may not result in more lending because it can be associated with lower loan quality, a low enough cost of funds for the bank will reduce the amount of rationing.) 

In “On the Need for Large Movements in Interest Rates to Stabilize the Economy with Monetary Policy,” I argue: 

Businesses and banks sitting on idle piles of liquid assets is a telltale symptom of the zero lower bound. Breaking through the zero lower bound restores the functioning of banks. Given negative interest rates those piles of liquid assets (after perhaps earning an initial capital gain), face a low rate of return going forward if they are left in that form. So the banks have to do something. They might simply get involved in financing storage, perhaps through a wholly-owned subsidiary if they didn’t trust anyone else with those funds. And as noted above, storage of long-lived goods alone can bring recovery. But chances are the banks would begin thinking about making loans for regular forms of investment. And the subset of businesses that have their own piles of liquid assets would also begin thinking about using their own money to invest. 

That is, banks look broken when their cost of funds has not been reduced enough to make the cost of funds plus an appropriate risk premium lower than the rates at which there is loan demand. 

Also, while banks are important, they are far from the whole story. Note for example that when firms are sitting on large piles of safe assets, as many have been during the Great Depression, they can invest without a bank being involved at all. They don’t because the risk-adjusted return on projects looks lower to them than the zero or slightly below zero nominal rate they can earn on safe assets. Does Joe Stiglitz really believe that there is a shortage of projects that would look good compared to a safe return of -7% in nominal terms–or -9% in real terms at 2% inflation? In all likelihood there are many projects with a much better return than that, so that going as low as -7% rates would be unnecessary to get strong economic recovery.  

In “Even Central Bankers Need Lessons on the Transmission Mechanism for Negative Interest Rates,” I put the importance of banks in perspective by pointing out that every type of borrower/lender relationship in which the market interest rate declines creates extra stimulus. Banks are parties to many borrower/lender relationships, but far from all. I recommend the detailed treatment in “Even Central Bankers Need Lessons on the Transmission Mechanism for Negative Interest Rates” to those who still think it is all about banks. 

I don’t mean to say banks aren’t important. They are. They just aren’t the whole story. And low enough interest rates can stimulate the economy even if the channels involving banks in their canonical role as lenders to small businesses is obstructed. As I wrote in “On the Need for Large Movements in Interest Rates to Stabilize the Economy with Monetary Policy”: “At the end of the day, low enough interest rates will bring recovery one way or another. If risk premia remained high enough, recovery could come through unusual channels, but it would come.”

7. Wealth Effects

I discussed how to deal with wealth effects on banks themselves above. Joe mentions wealth effects in one other context, writing: 

… older people who depend on interest income, hurt further, cut their consumption more deeply than those who benefit – rich owners of equity – increase theirs, undermining aggregate demand today.

My post “Even Central Bankers Need Lessons on the Transmission Mechanism for Negative Interest Rates” enunciates a key principle about wealth effects: because there are two parties to every borrower-lender relationship, what is a negative wealth effect to one party is a positive wealth effect to the other. And on the whole, borrowers–who tend to get a wealth effect boost from lower rates–are better spenders than lenders. So if all the wealth effects are accounted for rather than cherry-picking a wealth effect here or there, they will be in the direction of greater stimulus from lower rates. Here is the overall story about transmission mechanisms for lower rates, in the negative region as well as the positive region: In any nook or cranny of the economy where interest rates fall, whether in the positive or negative region, those lower interest rates create more aggregate demand by a substitution effect on both the borrower and lender, while other than any expansion of the economy overall, wealth effects that can be large for individual economic actors largely cancel out in the aggregate.

Regardless of how cherry-picked, it is interesting to think whether the borrow-lender relationship of senior citizens lending to big firms and their owners is an exception to the general rule that borrowers tend to be better at spending than lenders–that is that borrowers generally tend to have a higher marginal propensity to consume. It depends on whether the operating arms of the firm pay attention to lower interest rates by lowering the hurdle rate for projects. It is an important question whether firms adjust hurdle rates for investment projects when market interest rates fall, or if only the Chief Financial Officer pays attention to lower market rates (for the sake of purely financial transactions to raise the value of the firm even if the physical things the firm does are held constant). 

But to address the cherry-picking, think of senior citizens who lend instead to the federal government. Lower interest rates reduce the deficit and tend to lead to more government spending fairly directly by deficit reduction rules biting less. Even though senior citizens have a high marginal propensity to consume, I think the effects of deficit numbers on government behavior make the effective marginal propensity to consume of the federal government out of a change in interest expense even higher. Those who like the idea of fiscal stimulus should be happy about this stimulus from negative interest rates–especially since the negative wealth effect is only for the relatively well-off senior citizens who are not just living on social security, but have interest income to live on on top of that.

Also, to point out another aspect of the cherry-picking (even keeping the picked cherry of “senior citizens”), think of senior citizens who are lending to companies, but hold relatively long-term bonds. If many of the bonds have roughly the same maturity as the remaining life-span of a senior citizen, the wealth effects are much reduced since the coupons are locked in. It is senior citizens who have short-term holdings that a good financial planner would warn them against who have trouble with the wealth effects from lower interest rates.

Finally, I question the idea that those near the end of their lives would have such a high consumption response to interest rates, even if they were constrained to hold only T-bills. The reason is that as the end of life approaches, the principal of the debt instruments one holds matters more and more relative to the interest. The last time I refinanced, I got a 10-year mortgage. With that short a mortgage, the need to pay off principal in such a short time means that the monthly payment was not that sensitive to the interest rate. Similarly, with, say, only 10 years left to live, the amount one can afford to take from one’s savings to spend is not that sensitive to the interest rate. One might say that uncertainty makes people act as if they had longer to live than they actually do, but that would have a big effect in reducing the marginal propensity to consume out of wealth that would tend to counterbalance any increased wealth-equivalent impact of a change in interest rates. 

8. Reaching for Yield

Joe worries about the effects of lower interest rates on financial stability:

the perhaps irrational but widely documented search for yield implies that many investors will shift their portfolios toward riskier assets, exposing the economy to greater financial instability.

I owe all my readers a post with the diagram I gave my students on this, but here is its idea: lower rates boost aggregate demand a lot, reduce financial stability only a little; higher equity (capital) requirements boost financial stability a lot, reduce aggregate demand only a little. Combine the two policies: lower rates and higher equity requirements, and you get an increase in both aggregate demand and financial stability–exactly what is needed. Scale that policy up, and you can get as big an increase in both aggregate demand and a quite large increase in financial stability at the same time. These are two great policies that go well together. 

Update: the May 10, 2016 post “Why Financial Stability Concerns Are Not a Reason to Shy Away from a Robust Negative Interest Rate Policy” is the promised post.

9. The Capital/Labor Ratio

Joe makes this interesting argument:

…low interest rates encourage firms to invest in more capital-intensive technologies, resulting in demand for labor falling in the longer term, even as unemployment declines in the short term.

The most basic response is that if monetary policy does its job–getting output back to the natural level–it has no further effect on long-run issues such as this. Indeed, monetary policy has no effect on the medium-run natural interest rate. So if low interest rates in the medium- to long-run are a problem, they are not the province of monetary policy. (Update: See “Mario Draghi Reminds Everyone that Central Banks Do Not Determine the Medium-Run Natural Interest Rate.”)

In this area that is not the province of monetary policy, I think there is more reason to worry about people’s ability to save for retirement in a lower interest rate environment than labor demand in a low interest rate environment. In standard models in which capital and labor are homothetic with only one type of labor, for a given technology, a higher capital/labor ratio raises medium-run labor demand. To the extent that different production methods can be thought of as all part of the same technology, the ability to switch between production methods reduces this positive effect of the capital/labor ratio on labor demand, but does not eliminate it. What is true is that in models with more than one type of labor, capital might raise the demand for some types of labor and reduce the demand for other types. It may be that the types of labor for which demand increases are much better paid than the types of labor for which demand decreases, and that the number of workers demanded goes down as demand shifts toward a few high-quality workers instead of many lower-quality workers. But the amount of this that happens as a result of interest rates is probably small compared to the amount that happens as a result of technological progress and from globalization. And to repeat, monetary policy cannot do much to either bring on or stop such trends since monetary policy has no effect on interest rates once it has done its job of getting the economy back to the natural level of output.  

All of that is in the medium- to long-run. You might say “What about the short-run?” Well, the short run is the province of monetary policy, and negative interest rates are–in cases that look increasingly important–a way to get enough aggregate demand to keep labor demand at a level appropriate to any medium- to long-run situation, so that the short run is not messed up.  


Note: Those interested in the share of capital income might be interested in “The Wrong Side of Cobb-Douglas: Matt Rognlie’s Smackdown of Thomas Piketty Gains Traction.”

As noted above, my bibliographic post “How and Why to Eliminate the Zero Lower Bound: A Reader’s Guide” organizes links to everything I have written about negative interest rate policy.  

Frank Stafford on a Transmission Mechanism for Australian Monetary Policy

image source

image source

I wish I new a lot more about different approaches to public policy in other countries. In “Even Central Bankers Need Lessons on the Transmission Mechanism for Negative Interest Rates” I wrote about the importance of the correlation between wealth effects and the marginal propensity to consume of different groups as an important part of the monetary policy transmission mechanism. My colleague Frank Stafford told me an interesting example, writing:

I have been involved with a group in Melbourne that studies the Australian housing market.

On my recent trip I just pieced together an unusual aspect of monetary policy there.

Most Australians own their own home and almost all the mortgages are ARMs.

When the Reserve Bank lowers or raises the ‘cash rate’, there is a prompt reset to the ARM mortgages, with monthly payments falling or rising, accordingly. If the cash flow burden is too difficult they take money from the home’s equity.

No doubt about the 'channel of policy’ but a rather unusual type of 'tax cut’ or 'tax increase’ on a subset of the population.

Negative Interest on Deposits at the National Bank of Hungary; Randy Kroszner on Negative Rates

Ever since the Bank of Japan went to negative rates, it has been hard to keep up with all of the negative interest rate news. I only learned yesterday that on March 22, 2016, the National Bank of Hungary has a -.05% rate for deposits with the central bank. That and other rumblings I have heard from Eastern Europe making me think that Eastern Europe is a priority for my travels to talk to central banks about negative interest rate policy. I hope to put together a European tour in Fall 2016, as well as an East Asian tour. 

I also learned yesterday about former Federal Reserve Board Governor Randy Kroszner’s comments about negative interest rate policy. Kalyeena Markortoff reports in a March 21, 2016 article on cnbc.com

Kroszner said that it would take a “significant negative shock that led to a threat of significant deflation” for the Fed to consider negative rates — a policy tool which has already been deployed by the likes of Japan, Switzerland, and the European Central Bank (ECB).

“I don’t see that as a likely outcome, but I never say never after what I experienced in 2006 to 2009,” Kroszner said.

“I don’t think any of us sitting around the table back at the end of 2008 thought that we’d be in 2015, 2016 (and) that we’d be debating the first (interest rate) increase and then whether we could move beyond that,” he added.

Chris Matthews on Negative Interest Rates

Link to the October 21, 2015  fortune.com article “Ben Bernanke sees the upside of negative rates.”

I was pleased to see, belatedly, the fortune.com article “Ben Bernanke sees the upside of negative rates” by Chris Matthews. Chris quotes from and links to my Quartz column “America’s huge mistake on monetary policy: How negative interest rates could have stopped the Great Recession in its tracks.”

Chris’s other link is also interesting: he links to Joshua Franklin’s October 16, 2015 reuters.com article “Swiss bank ABS plans negative interest rates for some depositors.” The key passages there are:

“On transactional accounts … there will be negative interest rates of -0.125 percent from the first franc,” the ABS spokeswoman said, adding that this would come into effect from the start of next year. …

Major banks like UBS and Credit Suisse have introduced deposit charges for some large clients but Swiss broadcaster SRF said ABS would be the first Swiss bank to introduce negative rates for smaller clients.

Taehyun Nam: South Korea on the Road to a Cashless Society

Link to Taehyun Nam’s Linked In homepage

I am pleased to host another student guest post, this time by Taehyun Nam. This is the 4th student guest post this semester. You can see all the student guest posts from my “Monetary and Financial Theory” class at this link.

Taehyun discusses South Korea’s goal to get to a “cashless society.” I want to emphasize that although abolishing cash might be a good idea, it is not necessary to abolish cash to eliminate the zero lower bound. My proposal for eliminating the zero lower bound would keep cash in the picture, but move cash further from the center of the monetary system. Abolishing cash is a separate decision from eliminating the zero lower bound. 


The South Korean government should not falter becoming a cashless society that opens the underground economy, solves the circulation problem, prevents crimes, and provides more monetary policy options.

Bill Gross from Janus Capital once said, “The cashless society which appears over the horizon may come sooner than the demise of the penny.” My home country, South Korea, is no exception. Cash in Korea is slowly losing its presence and getting replaced by credit/debit cards. The Bank of Korea has recently announced its plan to become a “cashless society.”

According to the Bank of Korea’s survey with 2,500 Koreans with age of 19 or older in last August and September, Koreans are gradually carrying less cash. On average, they had $61.29 cash in their wallets. Senior citizens in their 50s carried $70.40 per person, whereas people in their 20s had only $41.41 cash per person in their wallets. In fact, even the seniors are now using debit cards more. In recent five years, the number of payment in debit card by people with age of 50s and 60s increased by four times, while the ratio of payment in cash plunged from 51% in the mid 2000s to 17% today. Moreover, 90.2% and 96.1% of survey participants carried credit and debit cards, respectively.

As cash is losing its popularity as a payment method, the government plans to eliminate coin by 2020 and achieve the “cashless society” afterwards. My first initial reaction to this news was, “Dr. Miles Kimball [professor for my Monetary and Financial Theory class] will be thrilled with this news!” On the contrary, the general public in Korea ranted.

<Tirade of the General Public in Korea>

Screen Shot of Comments on the Related Article on FacebookComment #1: It’s obvious that the stock prices of credit card companies would skyrocket. Korean companies have low respects for privacy. Seems like Korean politicians do not even know whether…

Screen Shot of Comments on the Related Article on Facebook

Comment #1: It’s obvious that the stock prices of credit card companies would skyrocket. Korean companies have low respects for privacy. Seems like Korean politicians do not even know whether seniors use cards or cash. - 217 Likes

Comment #2: This is unacceptable… Cashless society… This is totally unacceptable. - 606 Likes

#3: Why would they bother to change? Cards are for convenience. They are not essential. - 294 Likes

Such outrageous reactions are understandable. I also see some downsides of the cashless society, what I call them “5Cs”:

  • Confusion in the society and negative reaction from the public. 
  • Card payment’s and fintech’s unfamiliarities to senior citizens.
  • Card transaction fee issue.
  • Concerns over security and privacy in Korea.
  • Contingency plan to temporary malfunctions of electronic money system is nonexistent.

With these pitfalls, however, I still argue that the Korean society should become cashless. The economic benefits are hard to be ignored.

1. Open the underground economy

Becoming cashless will legalize the underground loan market and prevent the related transactions of billions of dollars without proper tax payments. Moreover, because electronic transactions are tractable in the cashless society, significantly less number of people would get involved in illegal prostitutions. On average, each prostitute has approximately 5 clients per night, and some even have 20. In the cashless society, there will be less illegal cash transactions without proper tax payments in the prostitution market. Instead, the customers in this market will rather consume and invest on legal activities. In fact, McKinsey report says, “The cashless society will cut costs equivalent to between 0.1 and 1.1 percent of GDP.” The data present that countries with below 50% rate of payment in cash have the shadow economy taking only 12% of gross domestic product (GDP). In contrast, those with over 80% rate of payment in cash have the underground economy taking 32% of GDP. Therefore, by becoming cashless, not only the South Korean government can collect more tax, but also the Korean economy would be stimulated by higher consumptions and investments.

2. Solve the currency circulation problem

Since 2009, the Bank of Korea has issued 2.2 billion papers of 50,000-won notes (50,000 Korean Won = $42.04, as of March 14th 2016). However, 1.2 billion of them has not been returned yet. The total amount of currency not in circulation was near $310 billion in 2009, but it more than doubled to $718 billion in 2015. Once the society transitions into the cashless society, people will be forced to bring their slush funds out and make more consumptions and/or investments. Again, the government can assemble more tax and boost the economy.

<Currency Circulation Problem in South Korea>

3. Prevent crimes & Allow more monetary policy options

Many crimes involved with cash will dwindle considerably in the cashless society. These include tax evasion, violence or plunder over cash, tax evasion, and bribery. In addition, electronic money enables countries to adopt negative interest rates in order to spur the economic activities. Such monetary policy is not feasible in a cash society, as people might put their cash in their safes. More information about negative interest rates policy with electronic money could be found in Dr. Kimball’s blog post “How and Why to Eliminate the Zero Lower Bound: A Reader’s Guide.

Scott Sumner—The Media's Blind Spot: Negative Interest on Reserves

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Link to the original post on the Library of Economics and Liberty blog

Scott Sumner was one of the first people to suggest negative interest on reserves, back in early 2009. Although he has directed most of his energy toward promoting nominal GDP level targeting (which I discuss in “Optimal Monetary Policy: Could the Next Big Idea Come from the Blogosphere?”), Scott also argues forcefully that negative interest on reserves can stimulate the economy. I am grateful to Scott Sumner for permission to mirror this post here. Here is Scott:


The media has an agenda, which covers its reporting of negative interest on reserves (IOR). Let’s review the evidence:

In late January, the Bank of Japan cuts interest rates into negative territory and does a bit more QE. The yen plunges in value and the Nikkei soars higher. So negative IOR seems expansionary.

Here’s what happened next, according to commenter Mikio from Japan:

The story background is the same. There is a lot resistance in Japan against negative rates - and BOJ official soon after the decision started to “appease” critics of negative rates that “it’s not that bad, we are not really going to charge you interest, don’t worry, very little will change”.

Markets began to rally again only after BOJ Deputy Governor Hiroshi Nakaso on 12th Feb. in NY made clear that there is still “no limit” to QE and that BOJ can cut rates further into negative territory, and that those who think the BOJ has reached its limit are “wrong”.

In short:

1) Nikkei rose when the initial announcement was made

2) Fell when BOJ started blurring the message

3) Rose again when BOJ corrected the message

It’s funny how many people find it so difficult to see these things. That’s what’s “head-scratching”…

This all seems pretty clear to me, but just in case Mikio and I are wrong, let’s see how the European markets react to negative IOR.

European stocks soar and the euro falls on a 12:45 pm announcement by the ECB that the policy rate will be cut deeper into negative territory. Then at 1:56 Draghi seems to abandon his “whatever it takes” approach, and indicated that no further rate cuts were likely. The euro soars in value and stocks plunge. Then overnight, ECB officials rush to reassure investors that they are serious about monetary stimulus, and stocks soar the next day. Exact same story as in Japan.

But let’s say that even that is wrong. Early today the BOJ gives us another experiment, this time refusing to cut rates. The yen rises and Japanese stocks fall sharply. Zero Hedge suggested that the lack of rates cuts today was not a big surprise, but this was:

BOJ REMOVES LANGUAGE FROM ITS STATEMENT THAT IT WILL CUT INTEREST RATES FURTHER INTO NEGATIVE TERRITORY IF JUDGED

So all of these market moves suggest that negative IOR is clearly expansionary, just as economic theory would predict. But bankers don’t like negative IOR. So even as the markets are telling us (indeed screaming at us) that negative IOR is expansionary, the business press tells us the opposite, even though all of the natural experiments discussed above were accurately reported in the FT.

Today’s FT is an especially egregious example. Here’s the headline:

Equities slip as BoJ holds steady

When I see the headline I think to myself “Finally, the FT will get it right!”

The story starts off in a promising direction:

The yen is firmer, and stocks and commodity prices softer, after the Bank of Japan downgraded its view of the world’s third-biggest economy but made no change to monetary policy.

Then things start to go awry:

The central bank’s surprise move to push interest rates into negative territory on January 29 has had the opposite effect to what was desired for the yen.

What! Didn’t the yen plunge much lower on the January 29th announcement? Has the FT not heard of the Efficient Markets Hypothesis? The markets don’t react with a one-week lag to policy announcements. And didn’t today’s reaction to the lack of a rate cut further confirm that negative IOR is expansionary?

Then things start to get back on track:

Such fretting has boosted the “haven” yen, leaving it up more than 6 per cent for the year versus the US dollar.

OK, that’s good; the term ‘fretting’ clearly refers to Draghi’s suggestion that no more rate cuts are coming, and similar statements out of Japan.

But then everything falls apart:

“The empirical record indicates multiple episodes of central bank easing actions that resulted in large and opposite reactions to those intended. Those that succeeded either coincided with positive fundamental developments or were part of a package that led to expectations of such,” he said.

I’m sort of in a state of shock. Time after time after time the markets clearly signal that negative IOR is expansionary. Even the press can hardly fail to report the immediate market reaction to negative IOR. And yet they are somehow unable to actually report what is starring them in the face, and instead find Binky Chadha, who tells them that up is down and black is white.

P.S. I don’t know why Chadha is unable to see the obvious, but someone more cynical than me might note who employs him. If Upton Sinclair were alive today, he might have this to say:

It is difficult to get a man to understand something, when his salary depends on his not understanding it.

P.P.S. BTW, people often get confused by these posts. I’m not a big fan of negative IOR, or indeed any form of interest rate targeting. I prefer NGDPLT, or if not that then price level targeting, or if not that then QE. Negative IOR is way down my list.

HT: JP Koning


Let me add some more recent news that helps make Scott’s point about the effectiveness of negative rates, though fortunately not about media obtuseness. On March 18, 2016, Tom Fairless and Todd Buell reported in the Wall Street Journal 

ECB President Mario Draghi surprised investors last week by saying he doesn’t expect to cut rates again, shortly after unveiling a major new stimulus. His comments caused the euro to spike against the dollar after initially falling and sent financial markets sprawling after they initially surged in response to the stimulus.‎

But on Friday, ECB Chief Economist Peter Praet said fresh rate cuts were still on the table. That sent the euro lower against the dollar.‎

“A rate reduction remains in our armory,” Mr. Praet said in an interview published on the ECB’s website Friday. “We have not reached the physical lower bound.”

Although our emphases are different, Scott and I are in basic agreement about many things. Here are some other posts on supplysideliberal.com that involve Scott Sumner:

I also have these links on supplysideliberal.com because I liked the posts so much:

How Negative Interest Rates Prevail in Market Equilibrium

Many people have the intuition that even if paper currency were out of the picture, other things that pay a zero interest rate would still create a zero lower bound, so that an attempt to take the target rate into deep negative territory would fail. Among them is one of the greatest economics bloggers of them all: John Cochrane. In his Grumpy Economist post “Cancel Currency?” he writes:

Suppose we have substantially negative interest rates – -5% or -10%, say, and lasting a while. But there is no currency. How else can you ensure yourself a zero riskless nominal return?  

Here are the ones I can think of:  

  • Prepay taxes. The IRS allows you to pay as much as you want now, against future taxes.
  • Gift cards. At a negative 10% rate, I can invest in about $10,000 of Peets’ coffee cards alone. There is now apparently a hot secondary market in gift cards, so large values and resale could take off.
  • Likewise, stored value cards, subway cards, stamps. Subway cards are anonymous so you could resell them.
  • Prepay bills. Send $10,000 to the gas company, electric company, phone company.
  • Prepay rent or mortgage payments.
  • Businesses: prepay suppliers and leases. Prepay wages, or at least pre-fund benefits that workers must stay employed to earn.

My brother Chris and I answer this argument in “However Low Interest Rates Might Go, the IRS Will Never Act Like a Bank.” The set of things that can create a zero lower bound can be narrowed down considerably by the two key principles we explain there: 

  1. Giving a zero interest rate when market interest rates are in deep negative territory (say -5%) is a money-losing proposition. Private firms are unlikely to continue very long in providing such an above-market interest rate to individuals wanting to store money with them.
  2. Anything that can vary in price cannot create a zero lower bound: negative interest rates will either cause its price to go up enough that expected depreciation gives it a negative expected return, or potential price variation will make its return risky enough it is clear there is no risk-free arbitrage to be had. This rules out things such as gold or foreign assets from creating a zero lower bound, unless a credibly fixed exchange rate or an established price of gold is in play. 

What is left? The only other category I can see are opportunities to lend to a government within the central bank’s currency zone at a fixed interest rate. But even there, there is another logical proviso on what can create a zero lower bound. I explain in “How to Keep a Zero Interest Rate on Reserves from Creating a Zero Lower Bound”:

[3.]… a zero interest rate that only applies to a limited quantity of funds does not create a zero lower bound. The reason that our current paper currency policy creates a zero lower bound is that under current policy banks can withdraw an unlimited quantity of paper currencyand redeposit it later on at par. By contrast, within-year prepayment of taxes is possible but practically limited to the amount of the tax liability. (Between tax years a typically nonzero interest rate based on the market yield of short-term U.S. obligations applies.)

Thus, other than paper currency:

IRS interest rates between tax years are set by the Secretary of the Treasury in line with market short-term rates, such as the Treasury bill rate. They are no stickier than the Secretary of the Treasury wants them to be. It is true that a sufficiently determined Secretary of the Treasury could probably thwart a Fed move to negative interest rates by offering convenient saving at a zero interest rate through the tax system. But I don’t think the Fed would be likely to go to deep negative rates in any case without some degree of tacit backing from the Executive Branch. (I do think that with the Executive Branch’s tacit backing, the Fed might go to deep negative rates despite complaints in Congress if it thought that was necessary for the economy.)

Finally, suppose I am wrong about the willingness of private firms to lose money by continuing to offer a zero interest rate when many market rates have gone substantially negative. In “Banking at the IRS,” John Cochrane argues that private interest rates are sticky at zero. There is still a limit to how much a firm can allow individuals to store at an above-market zero interest rate without going bankrupt, and in practice, the quantity limit of how much value a firm will allow people to store at a zero interest rate is much tighter than that.   

Let’s get more concrete about the sheer magnitude of the task of finding zero interest ways of storing one’s money when the central bank is bidding up the price–and therefore down the interest rate–of Treasury bills as far as it can before investors sell over the whole stock of Treasury bills. To make the calculations easier, let me imagine that before going to negative rates, that a central bank has done enough quantitative easing that most of the national debt in private hands is in the form of short-term Treasury bills that have a negative rate. In that case, the net debt-to-GDP ratio (based on government debt in private hands) puts a floor on how much in funds private individuals will be trying to shift into zero interest rate opportunities. Actually, to this should be added the paper currency to GDP ratio too, since under my proposal, paper currency carries a negative rate of return because of its gradual depreciation against electronic money. (It is only because paper currency would have a negative rate of return under my proposed policy that the discussion in this post even arises.) Here are a few interesting net debt/GDP ratios rounded to the nearest full percent as of the latest update of the Wikipedia article “List of countries by public debt” in 2012. I doubt many of these numbers have gone down since then:

  • Australia: 17%
  • Austria: 51%
  • Belgium: 106%
  • Canada: 37%
  • Denmark: 8%
  • Finland: -51%
  • France: 84%
  • Germany: 57%
  • Greece: 155%
  • Ireland: 102%
  • Israel: 70%
  • Italy: 103%
  • Japan: 134%
  • Netherland: 32%
  • Norway: -166%
  • Portugal: 112%
  • Spain: 72%
  • Sweden: -18%
  • Switzerland: 28%
  • United Kingdom: 83%
  • United States: 88%

Certainly, in the eurozone, Japan, the United Kingdom, the US and Canada, the task of finding zero interest rate opportunities for all the funds that start out in government debt is daunting. Countries like Norway that have a substantial sovereign wealth fund show that the amount of money the public holds in government bills and bonds–surely a positive number–can be larger than the government debt with assets netted out–in Norway’s case, a negative number. So the net debt to GDP ratios above are only the start of how much people might face a negative interest rate in that they are trying to escape. 

The biggest single opportunity for getting a zero interest rate when rates in general are negative is typically tax system. I suspect that most countries have much less wiggle room for playing with the timing of tax payments than the US. For example, the rules for the timing of paying VAT taxes probably don’t have the same kind of wiggle room. And even in the US, the wiggle room on the timing of payments is probably much greater for households than for firms. In the US, tax revenue as a percentage of GDP is something like 27%.  But shifting tax payments from being paid each month as the income comes in to being paid on January 1, say, only shifts that 27% forward by 6.5 months on average, since some of the payments are already early in the year. Or for those who pay quarterly, things might be shifted forward by 7.5 months. (7.5/12) * 27% is less than 17%. (This is composed of up to 27% of GDP at a zero interest rate at the beginning of the year, and much less at a zero interest rate toward the end of the year.) 

That limit of 17% of annual GDP (averaged over the year) that can get a zero interest rate is far short of the 88% that individuals and firms in the US and abroad will want to find in zero US interest rates. Along the lines of “How to Handle Worries about the Effect of Negative Interest Rates on Bank Profits with Two-Tiered Interest-on-Reserves Policies,” throw in bank account assets amounting to 4% of annual GDP in individual bank accounts exempted from a negative interest rate supported by subsidies through the interest on reserves formula. (The effective subsidy needed is not 4% of GDP, but the absolute value of the interest rate times 4% of a year’s GDP, say |-4%| per year times 4% of yearly GDP, or .16% of GDP on a flow basis.) Beyond the bank accounts subsidized to have a zero interest rate, then throw in a generous several percent of annual GDP worth of prepayment opportunities that the private sector will allow, and still those now holding government debt will fall far short of finding enough zero interest opportunities to shift their liquid assets into. When I say that is generous, remember that the flow that can be prepaid needs to be multiplied by the length of time it can be prepaid to get the stock of wealth that can be shielded from zero interest rates. Other than prepayment of mortgages–which is already a big issue even at positive interest rates–most opportunities to prepay are limited to about 90 days, which is much lass than in the tax system. 

Even with substantial opportunities to get a zero interest rate, if individuals and firms have liquid assets left over that can’t get a zero interest rate, then the key market rates can go into deep negative territory as the central bank bids up the price of Treasury bills so that, say it costs $10,100 to buy a promise from the Treasury of $10,000 three months from now: a -4% annual yield.

So far, central banks that have gone to negative interest rates have done so tentatively. Still, interesting adjustments are beginning to happen. Here is a passage from Tommy Stubbington’s December 8, 2015 Wall Street Journal article “Less Than Zero: Living With Negative Interest Rates”:   

Danish companies pay taxes early to rid themselves of cash. At one small Swiss bank, customer deposits will shrink by an eighth of a percent a year.

But it isn’t all bad. Some Danes with floating-rate mortgages are discovering that their banks are paying them every month to borrow, instead of charging interest on their home loans. …

… other peculiar consequences are sprouting. In Denmark, thousands of homeowners have ended up with negative-interest mortgages. Instead of paying the bank principal plus interest each month, they pay principal minus interest.

“Hopefully, it’s a temporary phenomenon,” said Soren Holm, chief financial officer at Nykredit, Denmark’s biggest mortgage lender by volume. Mr. Holm said the administration of negative rates has gone smoothly, but he isn’t trumpeting the fact that some borrowers get paid. “We wouldn’t use it as a marketing tool,” he said.

Negative rates have cost Danish banks more than 1 billion kroner ($145 million) this year, according to a lobbying group for Denmark’s banking sector.

“It’s the banks that are paying for this,” said Erik Gadeberg, managing director for capital markets at Jyske Bank. If it worsens, Jyske might charge smaller corporate depositors, he said, then maybe ordinary customers. “One way or another, we would have to pass it on to the market,” Mr. Gadeberg said.

In Switzerland, one bank already has. In October, Alternative Bank Schweiz, a tiny lender, sent letters to customers with some bad news: They were going to be charged for keeping money in their accounts.

The Swiss central bank has a deposit rate of minus 0.75%, and Martin Rohner, chief executive of ABS, decided enough was enough. The costs were eating up the firm’s entire profit, he said. He set a rate of minus 0.125% on all accounts.