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What do you mean by strong here? Is that just supposed to mean that its liabilities are highly valued?

Without a central bank, what would happen if the alpha bank tried to raise interest rates? Presumably the alpha bank would still have to accept liabilities of other banks in repayment of the loans it has made? Wouldn't people just repay all their loans from the alpha bank, leaving it with assets yielding less than its liabilities?

Around 1700 the Bank of Scotland and the Royal Bank of Scotland started up. The first one to start up tried to act as alpha and supress the second, e.g. by refusing the take the second’s notes or cheques. But the would be alpha failed. They ended up in friendly competition.

I don’t see why monetary monarchy is inevitable. E.g. an economy with just commercial banks and some sort of commodity monetary base like gold, but no central bank would work, wouldn’t it?

A related question is whether an economy like the above but without any sort of commodity base money would work. My hunch is it would.

For a relevant article by George Selgin, see:

http://capitalismmagazine.com/2012/06/is-fractional-reserve-banking-inflationary/

Nick,

Some first principles background to this post and why I was previously confused in what you were saying about AR.

Start with the plain vanilla Canadian banking system case.

My interpretation of things is that BMO and the other commercial banks as beta banks have two obligations with respect to the Bank of Canada as the alpha bank,

a. They are obligated to use the medium of exchange issued by alpha, in the form of reserve balances

b. They are obligated to be market makers or dealers in the medium of exchange issued by alpha, in the form of currency

That b. part means BMO for example must be willing to exchange deposits that it issues for currency, and vice versa. The reason I was orginally confused by what you were saying is that I was reading your original 2009 wording as obligating only the first direction but not the second. I was reading it as if that was the asymmetry you were referring to. I guess nobody else read it that way. That's why I prefer to view it as a balance sheet stock two way dealing obligation rather than a flow specification.

Does that market making dealer specification make sense to you.

Next, if you look at a sequence of alpha beta relationships, e.g. Canada tied to US FX which in turn is tied to gold, is it the case that asymmetric redeemability carries through consistently at each phase of the alpha beta series.

I haven't thought this through, but have my doubts that a unique AR is a necessary condition for that alpha beta series in all its phases.

For one thing, the asymmetric redeemability requirement for the plain vanilla Canadian case carries over in exactly the same way as for the case of Canada tied to the US dollar. So the US dollar beta dependency is an add on to the relationship and not a replacement for the plain vanilla alpha beta relationship.


Indulge m

Nick Edmonds: In the US, in the early 19th century, banks made loans by issuing their own bank notes, which were (supposed to be) redeemable in gold (or silver)at a fixed rate (about $20.59 per ounce of gold (or about 0.5-ish ounces of gold per dollar; I don't remember the gold par, but it was about 1/15 of the gold par). While banks *could* accept bank notes issued by other banks in repayment of loans, many insisted on being repaid in their own bank notes. So far as I know, none insisted on being repaid in gold (or silver)

For details about Bank of Scotland versus Royal Bank of Scotland skulduggery which I mentioned above, see 35.10 to 38.00 here:

http://www.youtube.com/watch?v=Dd-UHqibj5c

Ralph:

Re your comment: "E.g. an economy with just commercial banks and some sort of commodity monetary base like gold, but no central bank would work, wouldn’t it?"

Depends on your definition of "work." That pretty well describes banking in the US between the demise of the Second Bank of the United States and the creation of the Fed. My own judgment is that banking was hardly stable during that period; financial crises caused by widespread bank failures were common. (And so, apparently, was counterfeiting.) But you (and others) may disagree.

Donald,

I guess then that banks were not offering par convertibility between bank notes either then. Otherwise, if you couldn't repay Bank A with Bank B's notes, you'd just go to Bank A (or Bank B) and swap your Bank B notes for Bank A notes, then repay your loan. Likewise, if everyone's offering fixed rate convertibility to gold, you convert your Bank B notes to gold with Bank B and then the gold for Bank A notes with Bank A, then repay your loan.

Nick R, you've argued previously that in a setup such as this:

1. Cashless society (no paper reserve notes and no coins).
2. A central bank (CB) which can buy and sell assets (open market operations (OMOs)).
3. A single commercial bank with a CB deposit (i.e. reserve deposit). This is the only existing CB deposit account.
4. The reserve requirement is 0%.
5. A non-bank private sector which holds deposits at the commercial bank.

That the CB would die as king and the sole commercial bank would effectively become the new alpha bank (a commercial CB). However, are you arguing that OMOs are not possible then? JKH and winterspeak both agreed that although inter-bank payment clearing is no longer needed that OMOs could still be used. I'll post there links in a minute, but if that's the case, then by your own reasoning on an excess supply of commercial bank deposits being possible, then surely the CB can still force excess deposits into existence through OMOs. And even if David Glasner is correct and the excess supply of deposits is used to pay off commercial bank loans (reflux), the CB can perform OMOs in excess of all outstanding loans and continue to force commercial bank deposits into existence.

Or are you saying that the OMOs could not happen?

Here's winterspeak agreeing with JKH about OMOs in this case:

http://monetaryrealism.com/market-monetarism-monetary-base-overdrive/#comment-111815

Nick E: "What do you mean by strong here? Is that just supposed to mean that its liabilities are highly valued?"

Good question. I think that I should mean "strong enough to have its money accepted even if it refuses to redeem its money for other banks' monies". When the Bank of Canada floated the exchange rate, the Bank of Canada was strong enough to declare independence from the Fed. People still accepted the Canadian dollar, and valued it. Would the Bank of Montreal today be strong enough to declare independence from the Bank of Canada? If BMO refused to redeem it's dollars for BoC dollars, would people still use and value BMO dollars? I don't think so.

"Without a central bank, what would happen if the alpha bank tried to raise interest rates? Presumably the alpha bank would still have to accept liabilities of other banks in repayment of the loans it has made?"

If it were strong enough to be a true alpha, it could refuse to accept liabilities from other banks at par.

Ralph: good example with the Scottish banks.

"I don’t see why monetary monarchy is inevitable. E.g. an economy with just commercial banks and some sort of commodity monetary base like gold, but no central bank would work, wouldn’t it?"

Yes. Gold is the alpha money. But if gold stops being used as money, even though it is valuable for industrial uses, it loses its power. If all the banks float against gold, and refuse to redeem for gold, people would still use their money.

JKH: that makes sense to me. It is the beta banks who have an obligation of convert beta money into alpha money, and alpha money into beta money, at par. (Though they might refuse new customers, or put a limit on how much existing customers can deposit???)

"Next, if you look at a sequence of alpha beta relationships, e.g. Canada tied to US FX which in turn is tied to gold, is it the case that asymmetric redeemability carries through consistently at each phase of the alpha beta series."

I think that's right.

Tom: if the "central bank" buys a bond in an OMO, but nobody uses central bank money, what does the central bank buy the bond with?

Nick R, I was thinking (and perhaps JKH and winterspeak were thinking the same thing when they talked about OMOs in this situation) that the CB would have an arrangement (much like I understand now exists) with the commercial banks (only one in this case) to act as its agent in buying and selling assets on the open market. Suppose Joe puts a $1 bond up for sale and the CB want to buy it. Can't it instruct the commercial bank to purchase it on it's behalf and then pay the commercial bank $1 in reserves to compensate it (perhaps plus a fee for acting as agent). Is that not similar to how the CBs conduct OMOs now? They certainly don't pay with paper reserve notes do they?

JKH, how were you thinking OMOs would be conducted in this situation when you made this comment here?

"A single commercial bank does not require a reserve account for commercial interbank clearing purposes.

However, the CB could make use of a reserve account connection in a 1 commercial bank system if it started messing aroud with OMO etc. for purposes of interest rate control."

http://monetaryrealism.com/market-monetarism-monetary-base-overdrive/#comment-111633

Here's winterspeak's similar comment about this example right below JKH's:

"And in the example, the central bank could still use a reserve mechanism to set interest rates via OMO"

... are you saying the commercial bank would refuse to act as agent for the CB in this case? What if its legal charter required it to do so?

... or the CB could write a check to Joe. But can't the commercial bank be compelled to accept CB checks as part of its charter?

Tom: I can buy and sell bonds. But that does not mean I can do OMOs, or control Canadian monetary policy.

But when you sell a bond you can't force a net increase of commercial bank deposits. The cb in my example could if the commercial bank were compelled to accept its checks.

"Sell" should be "buy" above.

"Tom: I can buy and sell bonds. But that does not mean I can do OMOs, or control Canadian monetary policy."

Even not when you could generate unlimited amounts of deposits that the treasury (and any other market participant) would accept? If the current rate is 3% and you say:" I will buy every bond at 2%", how do you not control monetary policy then?

Nick,Tom

Tom raises an interesting line of questioning which is background to the thrust of this post, but worth pursuing I think.

Consider two different systems.

One with one alpha and multiple betas.

One with one alpha and one beta.

No currency is issued.

Everything is electronic.

So leave aside asymmetric redeemability for the moment.

Just assume alpha has government power behind it.

So consider the single beta bank system.

Alpha specifies that beta has a deposit account with alpha.

This account can have a positive or a negative balance depending on circumstances.

Clearly, such an account is not reqired for multiple beta clearing.

So what is it.

Well, it is a clearing account between alpha and beta.

Why is that useful.

Well, suppose alpha has the power to do something called OMOs.

Suppose beta owns an investment dealer.

So alpha can buy bonds from non banks using that dealer service.

The result will be an alpha balance sheet of bonds and a clearing account that looks like the aggregate reserve account of a multiple beta system.

Alpha with its government power can set the interest rate on that clearing account. It's an administered rate.

What does that do.

Well, it starts to look like a quantitative easing profile.

So alpha has pricing leverage in terms of setting the interest rate on the clearing account and setting the rate at which its prepared to deal in bonds.

In other words, it has a degree of interest rate control comparable to QE.

The clearing account interest rate would serve as a signal for a risk free pricing benchmark for the beta bank. Beta would add risk premia to that for its lending.

Thinking out loud here, but the difference seems to be that the type of reserve pricing involved here is pure QE.

i.e. there is no pre QE base such as in a channel or corridor system that is used to price reserves purely on the basis of monopoly control over an interbank clearing system

With a single beta bank, its all QE type interest rate control with interest paid on the clearing or reserve account, but no inelastic demand function for competing banks based on the normal mode of competition

I see no problem with the government assuring bond holders that alpha checks can be cashed at the beta bank for beta bank deposit credit or that beta will receive credit in its alpha account

this has me thinking that asymmetric redeemability is a sufficient but not necessary condition for alpha power

but that's premised on no currency and single beta

still

the horror ... the horror


JKH,

I'm not sure how much control the central bank can exert over short rates in what you've described. What's to stop the commercial bank both lending and depositing at higher rates than that paid by the central bank? It's the only lender in town, so it can't lose lending business. And if there's no public held central bank money, then it doesn't have to take any deposits it doesn't create itself. Maybe I've missed something in your description.

I'd expect that the central bank could still influence the term structure though, by bond purchases.

btw, in my view asymmetric redeemability is a necessary but not sufficient condition, but that's all I'm saying.

Nick Rowe: "When the Bank of Canada floated the exchange rate, the Bank of Canada was strong enough to declare independence from the Fed. People still accepted the Canadian dollar, and valued it."

What does strength have to do with it? Canada has never been a province of the United States. Are you claiming that people only accepted Canadian Dollars because they could redeem them for U. S. Dollar? C'mon.

Nick R,

This might interest you, as I wonder about the following many times:

"More fundamentally (and semi-consciously rather than in full awareness) it may have sprung from the realisation of the monetary authorities, be it the Federal Reserve or the Bank of England, that they are in the position of constitutional monarch: with very wide reserve powers on paper, the maintenance and continuance of which are greatly dependent on the degree of restraint shown in their exercise. The Bank of England, by virtue of successive acts of Parliament, has a monopoly of the note issue, at least in England and Wales. But the real power conferred by these Acts depended, and still depends, on maintaining the central role of the note issue in the general monetary and credit system; and this, in turn, was not a matter of legal powers but, of the avoidance of policies which would have led to the erosion of this role."

- Nicholas Kaldor, The New Monetarism, 1970. I think he is saying that the monarch exists because if exerts too much power, it will lose its powers.

JKH,

I am wondering whether the big wildcard in the reserve/bank deposit money system is the Treasury since it has a reserve account but no customer deposits. Somehow the money through taxes or private sector treasury purchases has to get to that account. Would that not be the reason the beta bank has a reserve account even if there is only one bank? And maybe we need to start at the very beginning with zero balances: Where would the first reserve deposit coming from? Would it not be coming from the Fed into the Treasury account? I think that is where the gold certificates are coming in the Fed carries on its balance sheet.

Nick E.,

I'll use US order of magnitudes.

So suppose we have the alpha Fed and a $ 10 trillion behemoth beta bank.

The Fed can still do OMO-QE to buy assets from non banks and create deposits with beta and balances of beta with the Fed.

The Fed will price those balances just like it does with QE.

It will run a floor system in that sense.

Beta will use that price as a signal for the risk free rate.

If it doesn't, the Fed will simply pile on the OMOs to create balances sufficiently large to upset beta's overall pricing and interest margin strategy.

Of course, the Fed won't need to do that, assuming the beta CEO has read Nick R.s posts on Chuck Norris.

In terms of Chuck Norris amunition, the Fed has the entire US debt to play with before it moves on to equities and everything in between.

Odie,

Haven't thought about that until now - to be honest.

Very interesting point that shouldn't be overlooked.

Treasury has the same banking relationship with the Fed that the beta banks do.

In that very strict sense, its like another bank clearing with the central bank.

So this entire idea of a single beta bank has to be qualified in that sense.

Very interesting.

I'll think about that and come back later.

JKH, interesting, but what about the CB having to power to force MOE (in the form of bank deposits) into existence through OMOs? Does that fit into your scheme of things somehow?

Nick Edmonds, I notice that you too assume the CB can purchase things in this scenario:
"I'd expect that the central bank could still influence the term structure though, by bond purchases."
Would those bond purchases amount to OMOs? I don't see why not.

Also, you write:
"And if there's no public held central bank money, then it doesn't have to take any deposits it doesn't create itself."

But if the commercial bank refused checks from the CB, then how does the CB buy anything? Why can't we just assume that in this scenario the commercial bank is legally obligated to accept for deposit CB issued checks that non-banks bring to it. If you don't like checks, assume that the commercial bank is compelled by law to act as a purchasing (and selling) agent in the private marketplace for the CB. I don't see a problem with this being a condition of the commercial bank's monopoly. One of many conditions perhaps. And why should this be a problem for the commercial bank, since by "social construct" the CB's deposits are worth $1 for $1 what its deposits are worth, and thus can contribute to the commercial bank owners' equity (and thus their own deposits at the commercial bank being credited with the banks' profits).

Odie, you write:

"Would that not be the reason the beta bank has a reserve account even if there is only one bank?" That's why I set the hypothetical up with my 3rd condition above:

"3. A single commercial bank with a CB deposit (i.e. reserve deposit). This is the only existing CB deposit account."

to remove that complication: in effect the CB is the only government in this hypothetical. But yes, having to act as intermediary between government CB deposits (not technically called "reserves" BTW, since only CB-deposits at banks are reserves) and other non-CB non-bank CB-deposit holders (international organizations like the IMF, ... perhaps foreign governments?) and the CB and the non-bank private sector is another thing that makes CB deposits useful and thus valuable in our real system.

JKH,

"So this entire idea of a single beta bank has to be qualified in that sense."

I agree it's another intersting twist, but I specifically precluded any other CB-deposit holders from the simplest version of this hypothetical (see my comment to Odie above).

Min: "Are you claiming that people only accepted Canadian Dollars because they could redeem them for U. S. Dollar? C'mon."

No. I am claiming the exact opposite. Obviously. Because we still accept Canadian dollars, even after the Bank of Canada floated the exchange rate. C'mon.

JKH: "So leave aside asymmetric redeemability for the moment."

But that's a problem.

"Alpha specifies that beta has a deposit account with alpha.
This account can have a positive or a negative balance depending on circumstances."

Suppose it has a positive balance. What precisely does beta promise to pay alpha?

If I have a positive balance of $100 at BMO, that means BMO promises to pay me 100 BoC dollars. But if the BoC does not exist, and there are no BoC dollars.

If I have $100 positive balance at BoC (which I do, in my wallet) the BoC does not promise to pay me 100 BMO dollars. It does not promise me anything.

Odie,

The Treasury account is not a problem.

Treasury and the beta configuration maintain deposit balances with alpha.

Treasury recycles beta deposit liabilities via taxation and borrowing.

That's independent of the beta configuration - single or multiple.

Tom - its a moot point so you can move the Treasury account over to the beta bank as another deposit liability.

horrendous problem trying to post on this blog in the last few hours

Tom,

"in a setup such as this:

1. Cashless society (no paper reserve notes and no coins).
2. A central bank (CB) which can buy and sell assets (open market operations (OMOs)).
3. A single commercial bank with a CB deposit (i.e. reserve deposit). This is the only existing CB deposit account.
4. The reserve requirement is 0%.
5. A non-bank private sector which holds deposits at the commercial bank."

That the CB would die as king and the sole commercial bank would effectively become the new alpha bank"

Assuming the central bank was part of the government, then the commercial bank would have to pay the entire population's taxes to the central bank on behalf of the population (acting as the intermediary between the government and population).

So the commercial bank would have to acquire at least as much central bank currency as was needed to pay the taxes.

If the central bank wasn't part of the government then I can't see why it would exist at all in your hypothetical scenario.

Nick R

"If I have $100 positive balance at BoC (which I do, in my wallet) the BoC does not promise to pay me 100 BMO dollars. It does not promise me anything."

But if in a parallel cashless Canada, the BoC sent you a check for $100 to buy some of your assets, and BMO was required by law to accept that check (the stick) and likewise promised by BoC to receive $100 in reserves once they did (the carrot), then aren't you by extension promised 100 BMO dollars?

JKH,

I think your comment is about the same topic as mine above:

"Treasury and the beta configuration maintain deposit balances with alpha.
Treasury recycles beta deposit liabilities via taxation and borrowing.
That's independent of the beta configuration - single or multiple."

If the Treasury banks at the central bank then "recycles beta deposit liabilities via taxation and borrowing" is incorrect.

If the

"The world is divided into currency areas. Each currency area has one alpha bank (the king). All the other banks are beta banks (subjects, who follow the king). The beta banks promise to redeem their money for alpha bank money at a fixed exchange rate. The alpha bank makes no such promise the other way. Asymmetric redeemability. The alpha bank is the leader, who decides on monetary policy for the whole currency area. The beta banks just follow along, because they fix their exchange rates to the alpha bank."

Let's try this scenario.

There is one currency area. This currency area has one alpha bank. All the other banks are beta banks. The beta banks promise to redeem their money for alpha bank money at a fixed exchange rate. The alpha bank makes THE EXACT SAME PROMISE THE OTHER WAY. THERE IS SYMMETRIC REDEEMABILITY.

The alpha bank is the leader, who decides on monetary policy for the whole currency area. The alpha bank sets the fixed 1 to 1 convertibility with the beta banks, sets the risk-free overnight rate, sets the minimum reserve requirement, and sets the minimum capital requirement. The minimum reserve requirement is zero. There is zero demand for currency. There is zero demand for central bank reserves. This could change (not permanent). For now, everyone is satisfied with an all demand deposit economy with demand deposits being MOA and MOE.

"The alpha bank makes THE EXACT SAME PROMISE THE OTHER WAY. THERE IS SYMMETRIC REDEEMABILITY."

After reading the other comments, I am going to try to clarify. It may not be the last clarification. If the beta banks "produce" too many demand deposits and entities demand more currency, the alpha bank will always supply more currency at the fixed 1 to 1 rate thru the commercial banks.

Philippe, assume the central bank is the only manifestation of the government and that there's a long hiatus on taxes, or that only the bank is taxed. That's why I made only a single CB-deposit: that of the commercial bank's. I didn't want to get bogged down in details about foreign trade or facilitating gov spending (other than the CB's) or taxes. The idea is to see if the official CB here is viable as a real CB or not. If not, why not? Is it the lack of currency? Is it because there's only a single commercial bank? Do I have to assume that for OMOs to work the commercial bank is legally required to accept CB checks for deposit? I get different reactions to this set up... and I myself go back and forth. Sometimes I favor Nick Rowe's interpretation, sometimes I can see Sumner's interpretation, or other people's interpretations. And I'm not the only one to bring it up... I think winterspeak independently came up with it here recently:
http://monetaryrealism.com/market-monetarism-monetary-base-overdrive/#comment-111214
I'm not sure where Nick stands wrt the CB doing OMOs or not... does it require that extra law (the law that says the commercial bank must accept for deposit CB checks and/or must act as the CB's agent to buy assets; both in return for reserves of course) or not? JKH, winterspeak, and Nick Edmonds have implied OMOs would be possible (not mentioning that extra law... perhaps because it's implied by stating as fact that the CB can do OMOs). I tend to think it can do OMOs too, but it seems to me it requires that law to work, which may affect the asymmetric redeemability to some extent... I'm not sure about that either. Currently I'm thinking the CB could still be alpha, and even w/ that additional law there still would be asymmetry in that the CB would be free to do what it pleased with it's balance sheet, but the commercial bank wouldn't: the commercial bank still has to be concerned with solvency I think, even though it has a monopoly. It's possible it could make a bunch of bad loans, accumulate negative equity, and be put in receivership (say) by the CB and the shareholders would lose everything: something to be avoided by its shareholders.
Here's a previous summary I wrote up on different answers to these questions (Rowe, Sumner, Sadowski and Coppola):
http://banking-discussion.blogspot.com/2014/03/toms-epsilon-example.html
And here's a write up on the history of how I asked the question previously:
http://monetaryrealism.com/market-monetarism-monetary-base-overdrive/#comment-111365
You see, it's really Scott Sumner's example: I'm just borrowing it!
Also Sadowski told me once a bit of history about the banks being nationalized in France. I don't know if all of them were, but I got that impression. So that's one step away from this example perhaps... if France had gone cashless? I'm oversimplifying a bit of course.

Philippe, I suppose I can use your comment to add another to my list of questions: is the CB alpha because ultimately only its liabilities can be collected as taxes (with the commercial bank always acting as intermediary)? Might as well add one more to my list...

I don't see what the point of a central bank would be in your example. The commercial bank would have no need for the central bank's currency, unless it was forced to accept it for some reason. Having to pay taxes would give it a reason to acquire CB currency (by currency I mean reserve balances) but you've ruled taxes out. So basically there's no government and the CB employees all work for free. I have no idea why anyone wants to use the commercial bank's liabilities as money either.. or why it has a total monopoly. The whole scenario makes little sense.

Philippe, I said if a long hiatus on taxes, not no taxes *OR* only the commercial bank pays taxes. So if the commercial bank pays taxes, it needs CB money to do so. But maybe those restrictions aren't terribly important, as JKH implies above. And the employees don't work for free: they can get pay checks... which they could deposit at the commercial bank, ... or the CB could be run by a computer I guess. But I'll chalk you up in Nick R's category: that the king is dead. Sumner and Sadowski didn't seem to care about my extra conditions: they said the king lives.

"unless it was forced to accept it for some reason." ... sure, I propose that as part of the commercial bank's charter that it either has to accept CB checks for deposit (for which it gets reserves) or it has to agree to act as the CB's agent for performing OMOs (for which it also deals in reserves). I don't see why it would object, since those reserves would allow it to perform those functions w/o any downside to its equity position: and perhaps a modest upside (e.g. it can collect a fixed fee from the CB for this service), which it can later use to pay taxes with.

Nick said: "If I have $100 positive balance at BoC (which I do, in my wallet) the BoC does not promise to pay me 100 BMO dollars. It does not promise me anything."

I believe there are some promises there (fixed conversions) that apply to demand deposits, currency, and central bank reserves. What may not be fixed convertible is the price of some bonds.

"is the CB alpha because ultimately only its liabilities can be collected as taxes"

That's a sufficient reason for its currency to have some value.

In a hypothetical world without an official government or taxes, you could have a private central bank which acted like any other bank, i.e. leveraging its capital by borrowing and lending at interest. It could be the de facto 'alpha' bank simply due to its superior size and capital. In that case its owners and backers would be the largest landowners, companies and plutocrats (or aristocrats in times past), i.e. the people that owned most of the wealth.

Philippe said: "Having to pay taxes would give it a reason to acquire CB currency (by currency I mean reserve balances) but you've ruled taxes out."

Tom Brown said: "So if the commercial bank pays taxes, it needs CB money to do so."

Why not have the gov't bank at the one commercial bank and accept demand deposits for tax payments (no currency or central bank reserves required)?

Too Much Fed, the BoC doesn't have to do anything except exchange paper notes for BoC deposits and vice versa. They turn the computer on to do that (after issuing some currency and reserves) and lock the doors and walk away. The BoC could just be a giant ATM machine for use only by banks (nobody else has a BoC deposit account... so you can push the buttons all you want, but it won't work for you). But there's no way to get BMO deposits out of it. BMO might agree to accept your BoC currency in exchange for a deposit (I think it's up to the BMO), and once you have the BMO deposit, they definitely are required to turn it into BoC currency for you whenever you want.

But the BoC ATM machine deals exclusively in its own liabilities. It's not programmed to know what a BMO deposit is.

Nick,

Tom assumed a single beta bank.

So alpha pays beta IOR on a positive balance with alpha.

Beta then sets its asset liability rates using IOR as the risk free benchmark.

Also, Tom assumed no currency I think.

The case of a negative balance with alpha is probably not necessary.

But beta would pay alpha the borrowing rate set by alpha and set its asset liability rates using that rate as the benchmark.

I guess there's no asymmetric redemption in this example because there's no currency. Weird example. Alpha is just the government bank and sets the rules.

If beta depositors want a risk free instrument, they can buy government bonds from alpha I guess.

Mostly it works like US QE does now, with beta having a positive balance at alpha paying IOR because of QE.

Because there's no currency, its a pathological example relative to asymmetric redeemability.

Nick,

Returning to normal asymmetric redeemability, what's your view on the prospects for disappearance of hand to hand currency because of technology.

What happens to the asymm idea then.

When I referred to recycling from taxation and borrowing, I meant recycling by spending.

Same as it works now with the Treasury account at the CB.

JKH,

"What happens to the asymm idea then"

The CB *could* replace paper currency and coins with direct CB deposit liabilities for anybody. To make them exactly like currency (if that was desired) they might be fixed by law to return precisely 0% nominal interest at all times.

... banks could still have special "reserve" deposits though, which might earn IOR, etc.

that might work

what was the original purpose of this single beta idea

what were you trying to demonstrate

"Why not have the gov't bank at the one commercial bank" ... well perhaps because that would definitely make the commercial bank the alpha bank. Why should those shareholders be given that power? Do you want monetary policy designed to maximize profits for the bank shareholders? Maybe, if you're one of the shareholders... :D

I described Treasury banking at the alpha bank - as it does now in its primary account

With one private beta bank

difference between an alpha and a single beta verus alpha and no beta

JKH,

"what were you trying to demonstrate"

Was that for me? Originally I was just trying to make Scott Sumner's already extreme (cashless) HPE example a bit more extreme and see if that changed Scott's story any. It didn't. So I was curious what other people thought. The way I put it to Scott was this: say the CB sells all its assets and reduces MB to zero, do prices go to zero too then? He and Sadowski said "yes." Even with 1 commercial bank, no reserve requirements, etc. The whole deal.

purpose of alpha in my example is to set the risk free rate

beta is then free to set risk premia for its own private sector rates

with one beta, there's no competition

goes without saying such a system is a travesty of course

Nick,

I think this single beta no currency idea is off track relative to your asymm theme

But maybe helps work through some of the logic

Central banks did not evolve, they are a creation of the state. In particular, to manage state debt. So, since they are not a creation of the market, the question then becomes what market functions do they perform that would happen anyway?

This is all, of course, assuming we have a restrained state that will not appropriate bank assets or allow debtors to do so.

There is evidence that you would get a dominant bank, given that was the role the Bank of Amsterdam (Amsterdamsche Wisselbank or literally Amsterdam Exchange Bank, established 1609) which came to dominate the bill of exchange clearing system and whose notes were more reliable and stable than the coinage of the time. Up until it declared itself insolvent in 1790.

But since the reasons why states have central banks don't seem likely to go away any time soon, it all seems a bit moot. (And yes, I have been reading "Fragile by Design".)

JKH, my intuition about rates is lacking... so I'm going to reread your comments. However, you discussion reminds me a bit of this:
http://catalystofgrowth.com/theory/fiat-currency-construction/

Nick,

In the original gold, US dollar, Cdn dollar, BMO dollar chained example, is there any way you would consider the gold miner playing some sort of beta role to some higher alpha or the BMO depositor playing an alpha role to some lower beta - i.e. does that sequence close the chain

Nick,

If I were viewing the world monetary system from Jupiter, I'd probably begin with the monetary base, as monetarists tend to do

Or more completely, management of central bank balance sheets

I also view it that way viewing it from ground earth

Just that I tend to skip reference to monetary balances per se and move right on to interest rates - i.e. how those monetary balances are priced

Tom,

"Why not have the gov't bank at the one commercial bank and accept demand deposits for tax payments (no currency or central bank reserves required)?"

You could do that, but then the commercial bank wouldn't really be a commercial bank. As well as being a monopoly (for some reason), its liabilities would be de facto State money. So the so-called "commercial bank" would effectively just be part of the government.

Nick,

Zero is also a rate of interest.

And central banks always have a choice as to what rate of interest to pay on any monetary balance category.

With the possible exception of currency, but monetarists have creative suggestions for that too.

I know you disliked Mosler's natural rate of interest is zero because it mangles the usual idea of natural rate - and I agree with that objection

But I have a much greater objection to it

Which is that the effect he's talking about - which is the straightforward idea that excess uncompensated reserve balances will drive short rates to zero through beta competition - is not about anything natural

It only occurs because central banks have a choice as to what rate to pay on reserve balances

And zero is a choice

Its a choice, not a natural phenomenon - even in the way he's used that word at all

There is no discontinuity in rates of interest at the zero interest rate level, at least approaching nominally from above

Better to say - pays a zero rate of interest - than to say doesn't pay interest

JKH, my purpose in bringing up the 1-beta cashless case here was to see if OMOs (or the impossibility of them) had something to do with Nick R having declared the king dead in that case (in the comments to your post). His declaration made sense at the time, but I noticed you and winterspeak assumed like I did that OMOs were still possible. If they are still possible (or made possible by law), I don't get why the king dies now. Philippe says it's all about taxes ultimately being paid in CB liabilities. I'm not sure what to think.

Tom,

That's Chartalism, which has to do with the acceptance of CB or government currency as the core medium of exchange

Nick's paradigm is about getting BMO dollars accepted as a substitute for CB or government dollars

There's a simpler theory that ranks higher than Chartalism, IMO, which is that the government just enforces legal tender laws - that positions Chartalism as a convenient derivative explanation but not the primary explanation

Tom Brown said: "Too Much Fed, the BoC doesn't have to do anything except exchange paper notes for BoC deposits and vice versa. They turn the computer on to do that (after issuing some currency and reserves) and lock the doors and walk away."

Let's go back to the fed.

What about the bonds? Who sets the risk-free overnight rate? Who sets the reserve requirement? Who sets the capital requirement?

Philippe, I think you misattributed this comment to me:

"Why not have the gov't bank at the one commercial bank and accept demand deposits for tax payments (no currency or central bank reserves required)?"

Fed Up wrote that. I responded to it. Or were you responding to my response?

yeah I though it was you.

JKH,

"the government just enforces legal tender laws - that positions Chartalism as a convenient derivative explanation but not the primary explanation"

In Tom's specific example, there's one (so-called) commercial bank which has the only account at the central bank, no physical currency, and we assume either taxation or no taxation.

In the case of no taxation, I can't see why the 'commercial bank' has any need for central bank money (reserve balances). As such I can't see how legal tender laws would have any effect in that regard.

Philippe, let's change that slightly.

Why not have the gov't bank at the one commercial (beta) bank and at the alpha bank, accept demand deposits for tax payments (now central bank reserves might be required), and help with central bank reserve management to help the alpha bank hit its risk-free overnight target rate?

not sure what you mean. But if the govt banks at the alpha bank then it doesn't really accept demand deposits for tax payments. Rather the 'commercial' bank has to pay it with central bank money.

Phillipe said: "In the case of no taxation, I can't see why the 'commercial bank' has any need for central bank money (reserve balances). As such I can't see how legal tender laws would have any effect in that regard."

The beta/commercial bank still needs to maintain a zero balance of central bank reserves/vault cash for the alpha bank requirement. In this case, the desired level and required level are both zero. Assume a 5% risk-free overnight rate. The alpha bank buys a bond/sells central bank reserves. I'm thinking the risk-free overnight rate starts falling towards zero. The alpha bank sells the bond/buys central bank reserves at 2% so the balance goes back to zero. It has forced the risk-free overnight rate down by choice. Anything wrong with that scenario?

Legal tender laws. MOA is currency. It is also MOE. Now fix currency to demand deposits. Demand deposits become MOA along with currency. Demand deposits are also MOE. Borrowing from the beta bank must be done in terms of currency or demand deposits.

Phillipe, think about what happens if I get taxed, and someone else gets a tax credit. It is as if the demand deposit went from my account to the account of the gov't at the alpha bank and then back to the other person.

Gotta go for now.

"Assume a 5% risk-free overnight rate" On what, Reserves? Why?

"The alpha bank buys a bond/sells central bank reserves"

why does the commercial bank accept the central bank reserves? I don't get the point of the rest of your comment, sorry :)

Donald Coffin,

Advocates of free banking would disagree with you (e.g. George Selgin, Lawrence White, etc.) The latter lot always quote Scotland, Scandinavia and Canada between roughly 1750 and 1850 to illustrate how a central bank free system can work well. But I take your point that that system did not work well in the US. There could be a cultural factor here: that is, possibly a central bank free system works in serious, Protestant, honest, Northern countries, but not in others.

All: Yep, I couldn't get onto this blog yesterday evening either. I don't know what happened.

I'm going to be away from the internet for a few days, taking a short break.

JKH: Re Warren Mosler. That seems a good counter-argument, though I never did really get what his point was.

JKH and Tom: Clearly, the US Fed does not set Canadian monetary policy, now that the Bank of Canada does not fix the exchange rate of the Loonie to the US dollar. But the interest rates set by the Fed still have a big influence on the interest rates set by the BoC, given high capital mobility. Under perfect capital mobility, there would be interest rate parity between the US and Canada (including expected changes in the exchange rate), so in that sense the Fed would set Canadian interest rates, but it would still be true that Canadian monetary policy is independent of the Fed.

Similarly, all of us who borrow and lend and pay interest or get paid interest, and who negotiate the rates of interest we get paid, influence the rate of interest the Bank of Canada will choose to set. But that does not mean that we set Canadian monetary policy. The Bank of Canada sets Canadian monetary policy. If it wants to target 10% inflation, rather than 2% inflation, it can do so. Monetary policy is not interest rate policy.

JKH: "Returning to normal asymmetric redeemability, what's your view on the prospects for disappearance of hand to hand currency because of technology.

What happens to the asymm idea then."

My guess about the chances of the disappearance of currency is little better than anyone else's guess. When I see the kids buying a cup of coffee in the university cafeteria with the credit or debit cards or student cards, I wonder if it might disappear. But the data on stock of currency don't seem to confirm this yet, IIRC, though that is maybe just because of low nominal interest rates. Maybe the costs of anti-counterfeit notes will be the biggest determinant of that question.

What happens to asymmetric redeemability then? That's what I'm trying to figure out in this post. While the commercial banks still settle on the books of the Bank of Canada, the BoC is still the alpha bank. But that does not seem to be written in stone. Suppose they all switch to settling on the books of BMO? Or figure out some other clearing medium? Your guess on that question would be better than mine. That question is right up your old street.

Ramanan: this is my reading of Nicky Kaldor there: the Queen is very powerful on paper, but she won't keep those powers if she over-uses them. Similarly, the BoE (which used to be privately owned until quite recently) was very powerful on paper, but dare not overuse its powers. If the Bank of Canada disappeared, and BMO became the new alpha bank, on paper it would be able to create very high profits by printing lots of money. But if it actually used those powers it would lose them, because it would lose its beta followers and lose it's alpha position. It would be deposed as King.

On that reading, I agree with Kaldor.

Lorenzo: ah, thanks for adding more needed history. My reading of Bagehot was that he was struggling to invent the concept of a "central bank", and arguing that the BoE was indeed a central bank, even though the BoE at the time thought it was just a regular bank, just like the others. Yes, its relation with government helped make it the strongest bank, so that if any bank became King it would be the BoE. But it's role as monarch was nevertheless something that evolved. The government made it the strongest candidate to be the monarch, but the government did not create the monetary monarchy. Monarchy is the natural order of things; but the government has a role in determining who gets to be the monarch.

Nick Rowe: "When the Bank of Canada floated the exchange rate, the Bank of Canada was strong enough to declare independence from the Fed. People still accepted the Canadian dollar, and valued it."

Moi: "What does strength have to do with it? Canada has never been a province of the United States. Are you claiming that people only accepted Canadian Dollars because they could redeem them for U. S. Dollar? C'mon."

Nick Rowe: "No. I am claiming the exact opposite. Obviously. Because we still accept Canadian dollars, even after the Bank of Canada floated the exchange rate. C'mon."

OK. So both before and after floating the exchange rate, Canadians accepting Canadian dollars had nothing to do with the Bank of Canada declaring independence from the Fed. (Which it was, anyway.) That really had nothing to do with the relative strength of the two banks, right?

Nick, I'd probably describe the early BoE as a quasi-state or state institution controlled by private interests, rather than a genuinely private or 'regular' bank. Sort of an oligarchic institution if you will.

Tom, JKH

If the single beta bank accepts alpha cheques for, say, OMO purchase, then the alpha bank will have some influence on beta's balance sheet.

But, it is worth noting that this is qualitatively different from the normal situation because it s only operating on the average return on beta assets, rather than on the marginal return and the marginal cost of funds. To have an impact the alpha bank would have to force enough alpha deposits on the beta to represent a significant part of its asset base. In the real world, with competing betas, it can exert an influence through relatively small amounts.

So if the alpha forced enough low paying reserve deposits on to the beta bank, that would affect the beta bank's profitability if the beta bank wanted to keep paying higher deposit rates. It's less clear that it would have any impact on its lending rates.

But you have to remember that the beta bank would not be managing its balance sheet like a regular commercial bank, because as monopoly provider of publicly held money, it's in a completely different position. Its paper profit is irrelevant; instead it is concerned with ensuring there is continuing demand for its deposits. As long as people accept its deposits it can buy anything it wants.

It can never be in a position of being unable to repay its debts. The only reason it might care about its balance sheet is if we imposed a condition that it would be wound up if its paper net worth went negative.

And of course all this is highly hypothetical.

Also, asymmetric redeemability should have nothing to do with the existence of currency. (Actually the issue here is not currency per se, which is just like bank deposit in bearer form, so much as central bank obligations held by non-banks.)

Ralph Musgrave: "For details about Bank of Scotland versus Royal Bank of Scotland skulduggery which I mentioned above, see 35.10 to 38.00 here:

"http://www.youtube.com/watch?v=Dd-UHqibj5c"

Thanks, Ralph. :) Interesting talk.

White uses the example of the two Banks of Scotland to argue that banks would normally accept each other's notes at par. He then notes that that did not happen in the U. S. during the free banking era. But the reason he gives is misleading. He says that was because branch banking was against the law. (Besides, that does not follow, as branch banking was not a factor in the examples of reciprocity that the did give.) Whatever the laws about branch banking may have been, a bank in Atlanta that was chartered in Georgia but was not chartered in Illinois, could not do business in Chicago. But notes of Atlanta banks did circulate in Chicago, at a significant discount, and vice versa. As I recall from a talk a few years ago, there were at least two reasons for that. One is that the notes from the out of state bank could have been counterfeit. Another is that the bank could have gone out of business and nobody knew it yet.

Min: the BoC's strength had little or nothing to do with its fixed exchange rate with the Fed. But the Bank of Montreal's strength depends a lot on its fixed exchange rate with the BoC (I think). The BoC could easily declare independence from the Fed. BMO cannot (I think) easily declare independence from the BoC.

Nick,

I like the following line of thought when thinking about these alfa-beta issues:

1. Inflation targeting banks have two goals, not one. The first goal is the inflation (or some other nominal) target, the second goal is low standard deviation of some nominal and/or real variables. You can achieve the first goal by targeting inflation expectations, but how do you achieve good outcomes with the your second goal?
2. Beta banks are powerless against alpha banks with respect to the first goal of monetary policy. But they can cause a big mess with the second goal.
3. Suppose the actions of beta banks cause very high expected deviations of inflation and/or output, as measured by market indicators. At which point do we say the alpha bank has failed, even though technically the expected mean inflation (or NGDP) is always on target?

"Gold used to be the alpha money, and gold miners the nearest thing to an alpha bank"
Sometimes I find it useful to consider a gold coin (or the collection of all gold coins) an alpha bank. However, gold coin is a very special extreme case of a bank. Gold coin is a zero risk alpha bank. If we analyze the balance sheet of gold coin alpha bank, we will see that it has no liabilities on the liability side of balance sheet, gold coin is 100% equity.
Nominal GDP targeting differs from gold in this respect. Suppose we have NGDP futures convertibility. In this case, NGDP futures are alpha money, and NGDP future is a real risky alpha bank. While gold coin is a 100% equity zero liability instrument, NGDP future is not. NGDP futures require collateral, and there is a tail risk of counterparty default. NGDP future has both equity and liabilities on its balance sheet.

Vaidas:

Beta banks can create shocks. If the alpha bank cannot perfectly anticipate those shocks, there will be a higher variance of inflation (or NGDP) around the target. True. But then beta banks are not the only things that can create shocks. But maybe they are more important than other sources of shocks.

Yep. Gold coins are like a central bank with 100% commodity reserves (e.g. CPI baskets reserves). And if a central bank needs to reduce the stock of its liabilities, to keep inflation or NGDP on target, and lacks sufficient assets, it may be unable to do so. So there is some risk. But I think this risk is normally very small in practice. The present value of monopoly profits from seigniorage is an implicit asset.

Nick:
"The present value of monopoly profits from seigniorage is an implicit asset."
I made the same point here in the comments of this blog several times last year. The problem is a lack of studies measuring this asset. Another problem is who owns this asset. What is the optimal use of seigniorage revenue? Is it optimal to use it for general treasury purposes, or should we use future seigniorage to stabilize the economy today? There are no studies on this trade-off (I had a guest post on Scott Sumner's blog on this topic last year). My impression is that in many cases future seigniorage is earmarked for general treasury purposes, I cannot explain the behaviour of Ben Bernanke in September-October 2008 otherwise.

"But I think this risk is normally very small in practice"
My point was not to say that gold standard has any advantages here. The risk that your gold coins will be stolen may be well be higher than financial tail risks of NGDP futures. My purpose was to draw attention to the existence of trade-offs. Do we make NGDP futures ultra-safe, with collateral requirements too strict for normal times, so that there are almost no NGDP futures outstanding during normal times, and there is an explosion of demand for NGDP futures during financial panic. Or are riskier NGDP futures better (even though they are riskier, the demand for them is less unstable)?

Nick, no doubt you've seen this?

http://equitablegrowth.org/2014/04/17/saw-monetarist-drinking-pina-colada-thursday-focus-april-17-2014/

Brad talks about you and Glasner and links to one of your old posts.

Nick Edmonds,

I was never thinking in terms of interest rates. That was JKH's line of attack, and I still don't even understand it. I also wasn't terribly concerned with the commercial bank's balance sheet directly, or as it affects the commercial bank's interest rates. I was thinking solely in terms of the CB being able to force more commercial bank deposits into the hands of the non-bank private sector through OMOs. So, yes, I think your comment applies to me too... in that there's no money multiplier to speak of here: the size of OMO operations would have to be large to affect the kind of changes I had in mind. Is that what you're getting at?

Regarding these statements:

"Its paper profit is irrelevant; instead it is concerned with ensuring there is continuing demand for its deposits. As long as people accept its deposits it can buy anything it wants."

"It can never be in a position of being unable to repay its debts. The only reason it might care about its balance sheet is if we imposed a condition that it would be wound up if its paper net worth went negative."

I'm not sure I fully understand you there... but I'm thinking if I were the sole owner of the commercial bank, I would like to maximize my bank's equity so I could drain it all out into my own deposit at the bank. So I'm not sure why you say it wouldn't be concerned with profits or it's balance sheet. Also, I might live in fear of accumulating negative equity, since that's the end of my payday, but more importantly I think we might assume that the CB still has the power to put my bank in receivership, take my bank away from me (make my stock worthless), and re-capitalize it (i.e. sell it to new owners).

re: asymmetry, I'm still thinking asymmetry applies here too... the CB can still do what it likes w/o regard to profits or solvency, but I (as sole owner of the commercial bank) am concerned about making my own personal deposit as big as possible (i.e. having lots of growing bank equity to drain off into my own account) and I'm afraid of insolvency. Also, the CB can force changes in my balance sheet, but I can't do likewise to it.

What am I missing?

Nick E.,

.... But you have to remember that the beta bank would not be managing its balance sheet like a regular commercial bank, because as monopoly provider of publicly held money, it's in a completely different position....

You're right.

I suppose that in the limit an unconstrained single beta could buy up all the financial assets in the economy and pay zero interest on deposits

It could ignore IOR as an alpha signal for interest rates

And beta could usurp the alpha role on interest rates

As a thought experiment, this is nuts of course, because it begs the question as to where ultimate alpha power comes from - and it seems to me its the government deciding on the architecture for the banking system

But I think you're right on the potential monopoly effect

Nick E.,

So where do you come out on all this alpha, beta, asymmetry issue

What do you think of it top down as the explanation for CB power

Nick R.,

This paper by Woodford which you are no doubt familiar with tackles the issue of currency disappearance.

http://www.nber.org/papers/w8674.pdf

Makes eminent sense to me.

Not sure you'll like it because its an interest rate view of monetary power.

Which begs the question about the difference between an asymmetric redeemability view versus an interest rate view.

Nick Rowe: "Monarchy is the natural order of things"

Nuff said. ;)

Tom,

Any bank can buy anything just by creating the deposits. The limit on their ability to do so is people's willingness to accept those deposits in payment. When you have competing banks, one of the factors behind acceptability of a particular bank's deposits is a belief in the ability of that bank to redeem the deposit by delivery of a claim on another bank, most importantly of a claim on the central bank, i.e. currency. This depends on the state of the bank's balance sheet, which depends on profitability.

With the single commercial bank, we have taken away the ability of deposit holders to require redemption of their deposits, so the bank's ability to deliver assets in redemption is irrelevant. It comes down to whether there is a sufficiently good market for the deposits that people are confident they can pass them on.

JKH,

I think the following are needed to give the central bank the influence it needs in a fiat system.

1. It must be able to issue liabilities which it is not required to redeem by delivery of assets, but which other banks may be required to deliver at par value in redemption of their own liabilities. This is the asymmetric redeemability point.

2. There must be sufficient demand for its liabilities. This can come from legal tender laws, formal reserve requirements, a monopoly on provision of bearer money or maybe something else.

Neither of these two requires that the central bank has any dealings with non-banks, i.e. that non-banks hold central bank claims. They could both operate purely through interbank dealings.

Nick,

What happens under your criteria if currency disappears.

Nick Edmonds, you write:

"Any bank can buy anything just by creating the deposits. The limit on their ability to do so is people's willingness to accept those deposits in payment."

Also a limit is staying solvent. If the bank bought a bunch of lottery tickets by crediting the deposit of the store that sold it to them, but all the tickets turned out to be losers thus driving the bank into negative equity, it may get shut down: it's days of buying things by crediting deposits would be over.

Also I agree this is a big consideration:

"It comes down to whether there is a sufficiently good market for the deposits that people are confident they can pass them on."

But if you are a shareholder in the single commercial bank, you also want that bank to acquire equity so it can then credit your deposit at the bank when it pays you your dividend. I agree that does you no good if nobody wants the deposits it credits you with. I'm assuming that the bank would be put in receivership by the CB if it gets to a negative equity standing.

Having taken a ridiculously long time to understand exactly which asymmetry was being referred to, I remain far from convinced that this is the way to look at things.

The potential disappearance of currency, something taken seriously by Woodford, is an indicator that something is awry in this view.

I think there's a confusion between liquidity and capital in this framework. Asymmetric redemption is not at all the same as deposit insurance. The former is a liquidity issue. The latter is a capital issue.

Bank runs aren't necessarily funded by deposit redemption for currency. They can be funded by people writing checks to other banks.

And currency redemption won't protect a depositor whose bank has already been shut down. Only deposit insurance will do that.

At the end of the day, the central bank has power due to interest rate control, against the backdrop of a sound regulatory structure.

Asymmetric redemption is a liquidity management artifact that happens to convert bank deposits into currency, not a source of central bank power.

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