Now dormant

Since March 2013 I have been employed by the Bank of England and, as such, am unable to offer public comment on matters that might relate to the work of the Bank or politics in the UK.

I may, at some point, return to blogging here on matters outside the domain of my work; but for now, this blog will remain dormant.

Monetary policy, fear of commitment and the power of infinity

This is a fascinating time to be thinking about monetary policy…

Like everybody else, central banks can do two things:  they can talk, or they can act.

Some people say that talk is cheap and, in any event, discretion implies bias.

Other people point out that things like central bankers’ concern for their reputation mean that it’s perfectly possible to promise today to implement history-dependent policy tomorrow. Some cheeky people like to point out that this amounts to saying that, when in a slump, a central bank should “credibly commit to being irresponsible” in the future.

In fact, some people argue (pdf) that, in my words, “all monetary policy is, fundamentally, about expectations of the future.”  But if that’s the case, why act at all? Why not just talk and stay away from being a distorting influence in the markets?

There are two reasons: First, since since talk is cheap, credibility requires that people know that you can and, if necessary, will act to back it up (talk softly and carry a big stick). Second, because if you can convince people with actions today, you don’t need to explicitly tell them what your policy rule will be tomorrow and central bankers love discretion because no rule can ever capture what to do in every situation and well, hey … a sense of mystery is sexy.

OMO stands for “Open Market Operation”. It’s how a central bank acts.  Some scallywags like to say that when a central bank talks, it’s an “Open Mouth Operation.” Where it gets fun (i.e. complicated) is that often a central bank’s action can be just a statement if the stick they’re carrying to back it up is big enough.

In regular times, a typical central bank action will be to announce an interest rate and a narrow band on either side of it. In theory, it could be any interest rate at all, but in practice they choose the interest rate for overnight loans between banks. They then commit to accepting in or lending out infinite amounts of money if the interest rate leaves that narrow band. Infinity is a very big stick indeed, so people go along with them.

So what should a central bank do when overnight interest rates are at (or close to) zero and the central bank doesn’t want to take them lower, but more stimulus is needed?

Woodford-ites say that you’ve got to commit, baby. Drop down to one knee, look up into the economy’s eye and give the speech of your life. Tell ’em what you promise to do tomorrow. Tell ’em that you’ll never cheat.  Pinky-swear it … and pray that they believe you.

Monetarists, on the other hand, cough politely and point out that the interest rate on overnight inter-bank loans is just a price and there are plenty of other prices out there. The choice of the overnight rate was an arbitrary one to start with, so arbitrarily pick another one!

Of course, the overnight rate wasn’t chosen arbitrarily. It was chosen because it’s the price that is the furthest away from the real economy and, generally speaking, central bankers hate the idea of being involved in the real economy almost as much as they love discretion. They watch it, of course. They’re obsessed by it. They’re guided by it and, by definition, they’re trying to influence it, but they don’t want to be directly involved. A cynic might say that they just don’t want to get their hands dirty, but a realist would point out that no matter the pain and joy involved in individual decisions in the economy, a cool head and an air of abstraction are needed for policy work and, in any event, a central banker is hardly an industrialist and is therefore entirely unqualified to make decisions at the coalface.

But as every single person knows, commitment is scary, even when you want it, so the whole monetarist thing is tempting. Quantitative Easing (QE) is a step along that monetarist approach, but the way it’s been done is different to the way that OMOs usually work. There has been no target price announced and while the quantities involved have been big (even huge), they have most definitely been finite. The result? Well, it’s impossible to really tell because we don’t know how bad things would have been without the QE. But it certainly doesn’t feel like a recovery.

Some transmission-mechanism plumbers think that the pipes are clogged (see also me).

Woodford-ites say that it’s because there’s no love, baby. Where’s the commitment?

Monetarists say that infinity is fundamentally different to just a really big number.

Market monetarists, on the other hand (yes, I’m sure you were wondering when I’d get to them), like to argue that the truth lies in between those last two. They say that it’s all about commitment (and without commitment it’s all worthless), but sometimes you need an infinitely big stick to convince people. They generally don’t get worked up about how close the central bank’s actions are to the real economy and they’re not particularly bothered with concrete steps.

So now we’ve got some really interesting stuff going on:

The Swiss National Bank (a year ago) announced a price and is continuing to deploy the power of infinity.

The European Central Bank has switched to infinity, but is not giving a price and is not giving any forward guidance.

The Federal Reserve has switched to infinity and is giving some forward guidance on their policy decision rule.

The Bank of England is trying to fix the plumbing.

It really is a fascinating time to be thinking about this stuff.

Woodford, QE and the BoE’s FLS

I’ve been thinking a bit about the efficacy of QE, the potential benefits of the Bank of England’s Funding for Lending Scheme (FLS) [BoE, HM Treasury] and the new paper Michael Woodfoord presented at Jackson Hole [pdf here] (it’s a classic Woodford paper, by the way, even if it is is almost entirely equation free: a little difficult to wrap your head around, but ultimately very, very insightful).  Woodford’s conclusion starts with an excellent statement of the problem:

Central bankers confronting the problem of the interest-rate lower bound have tended to be especially attracted to proposals that offer the prospect of additional monetary stimulus while (i) not requiring the central bank to commit itself with regard to future policy decisions, and (ii) purporting to alter general financial conditions in a way that should affect all parts of the economy relatively uniformly, so that the central bank can avoid involving itself in decisions about the allocation of credit.

The interest-rate lower bound here is not necessarily zero, but rather whatever rate is paid on excess reserves, which may indeed be equal to zero, but need not be.  In the US, interest on reserves for depository institutions has been 0.25% since Oct 2008; in the UK it has been Bank Rate, currently 0.5%, since Mar 2009.  In principle, one might push the interest rate paid on reserves into negative territory, but such an action would come at the cost of destroying a subset of the money market and with a very real risk that economic agents (banks or, worse, businesses and households) would instead choose to hold their money in the form of physical currency.

Woodford advocates a strong form of forward guidance — that is, the abandonment of restriction (i) — as the optimal policy at the present time, on the basis that all monetary policy is, fundamentally, about expectations of the future.  In particular, he uses the paper to make an argument for nominal GDP level targeting.

This is vitally important stuff, but in this post I want to talk about quantitative easing, in the general sense of the phrase, or what Woodford far more accurately refers to as “balance sheet policies.”

First up is the purchase of short-dated safe assets, paid for with the creation of new reserves.  For the financial sector, this means giving up a safe, liquid asset with a steady revenue stream in return for money.  In normal times, the financial sector might then seek to increase their lending, providing a multiplier effect, but with interest rates on short-dated safe assets at the same level as interest paid on reserves, the financial position of the bank does not change with the purchase, so their incentive to lend can’t increase.  In this case, the short-dated safe asset has become a perfect substitute for money and, absent any forward guidance, such a policy can have no effect on the real economy.  Krugman (1998) and Eggertson and Woodford (2003) provide two-period and infinite-horizon treatments respectively.  Forward guidance in this setting might be anything from the private sector observing the purchases and inferring a more accommodative policy stance in the future (and the central bank doing nothing to disabuse them of that belief) to an outright statement from the central bank that the increase in reserves will be permanent.

Next up is the idea of purchasing long-dated safe assets, or even long-dated risky assets.  Woodford stresses that this can be decomposed into two distinct parts:  An initial expansion of the central bank’s balance sheet via the purchase of short-dated, safe assets and then an adjustment of the composition of the balance sheet by selling short-dated safe assets and buying long-dated assets.  Since the first step is thought to be ineffective (by non-Monetarists, at least), any traction should be obtained in the second step.

But because the second step represents either an adjustment in the relative supply of short- and long-dated government debt (in the case of limiting oneself to safe assets) or an allocation of capital directly to the real economy (in the case of purchasing risky assets), this is arguably fiscal policy rather than monetary and should perhaps be better done by the Treasury department.  Putting that concern to one side, I want to consider why it might, or might not, work.

The standard argument in favour is that of portfolio rebalancing: now holding extra cash and facing low yields on long-dated safe assets, a financial actor seeking to equate their risk-adjusted returns across assets should choose to invest at least some of the extra cash in risky assets (i.e. lending to the real economy).  Woodford emphasises that this story implicitly requires heterogeneity across market participants:

But it is important to note that such “portfolio-balance effects” do not exist in a modern, general-equilibrium theory of asset prices — in which assets are assumed to be valued for their state-contingent payoffs in different states of the world, and investors are assumed to correctly anticipate the consequences of their portfolio choices for their wealth in different future states — at least to the extent that financial markets are modeled as frictionless. It is clearly inconsistent with a representative-household asset pricing theory (even though the argument sketched above, and many classic expositions of portfolio-balance theory, make no reference to any heterogeneity on the part of private investors). In the representative-household theory, the market price of any asset should be determined by the present value of the random returns to which it is a claim, where the present value is calculated using an asset pricing kernel (stochastic discount factor) derived from the representative household’s marginal utility of income in different future states of the world. Insofar as a mere re-shuffling of assets between the central bank and the private sector should not change the real quantity of resources available for consumption in each state of the world, the representative household’s marginal utility of income in different states of the world should not change. Hence the pricing kernel should not change, and the market price of one unit of a given asset should not change, either, assuming that the risky returns to which the asset represents a claim have not changed.

He goes on to stress that if the central bank were to take some risk off the private sector, the risk still remains and, in the event of a loss, the reduction in central bank profits to the treasury would require a subsequent increase in taxes. Consequently, a representative household would experience the loss no matter whether it was formally held by itself or the central bank.  Crucially, too …

The irrelevance result is easiest to derive in the context of a representative-household model, but in fact it does not depend on the existence of a representative household, nor upon the existence of a complete set of financial markets. All that one needs for the argument are the assumptions that (i) the assets in question are valued only for their pecuniary returns [John here: i.e. their flow of revenue and their expected future resale value] — they may not be perfect substitutes from the standpoint of investors, owing to different risk characteristics, but not for any other reason — and that (ii) all investors can purchase arbitrary quantities of the same assets at the same (market) prices, with no binding constraints on the positions that any investor can take, other than her overall budget constraint. Under these assumptions, the irrelevance of central-bank open-market operations is essentially a Modigliani-Miller result.

[…]

Summing over all households, the private sector chooses trades that in aggregate precisely cancel the central bank’s trade. The result obtains even if different households have very different attitudes toward risk, different time profiles of income, different types of non-tradeable income risk that they need to hedge, and so on, and regardless of how large or small the set of marketed securities may be. One can easily introduce heterogeneity of the kind that is often invoked as an explanation of time-varying risk premia without this implying that any “portfolio-balance” effects of central-bank transactions should exist.

Of the two requirements for this irrelevance result, the second is clearly not true in practice, so large-scale asset purchases should, in principle, work even in the absence of any forward guidance, although the magnitude of the efficacy would be in doubt.

On the first, Woodford does acknowledge some work by Krishnamurthy and Vissing-Jorgensen (2012) which shows that US government debt possesses non-pecuniary qualities that are valued by the financial sector.  In particular, safe government debt is often required as collateral in repo transactions and this requirement should give such assets value above that implied by their pure pecuniary returns.  However, as pointed out by Krishnamurthy and Vissing-Jorgensen in a discussion note (pdf), to the extent that this channel is important, it implies that central bank purchases of long-dated safe assets can even be welfare reducing.

To see why this is so, I think it best to divide the universe of financial intermediaries into two groups:  regular banks and pure investment shops.  Pure investment shops have, collectively, particularly stable funding (think pension funds) although the funds might swoosh around between individual investment shops.  Regular banks have some stable funding (from retail deposits), but also rely on wholesale funding.

Up until the financial crisis of 2008, regular banks’ wholesale funding was done on an unsecured basis.  There was no collateral required.  There was very little asset encumbrance.  But since the crisis (and, indeed, arguably because of it), regular banks have had essentially no access to unsecured lending.  Instead, banks have been forced to rely almost entirely on secured borrowing (e.g. through covered bonds at the long end or repos at the short end) for their wholesale funding.  In addition to this, new regulations have been (or are being) put in place that increase their need to hold safe assets (i.e. government debt) even if unsecured borrowing is available.

QE has therefore acted through two, broad channels.  In the first, portfolio rebalancing may still have worked through the pure investment shops.  Having sold their government bonds and now holding cash, they reinvested the money but since the yields on government bonds were now lower relative to other asset classes, they put a larger fraction of that money into equity and corporate bond markets.  To the extent that such investment shops are not able to perfectly offset the central bank’s trade, or are unable to full recognise their need to bear any potential losses from any risk the central bank takes on, large non-financial companies (NFCs) with access to stock and bond markets should therefore have seen a reduction in the price of credit and, in principle, should have been more willing to undertake investment.

On the other hand, QE has also served to lower the supply of eligible collateral at precisely the time when demand for it among regular banks has shot up.  The banks have then been faced with an awful choice:  either pay the extra high cost to get the required collateral (buying it off the pure investment shops), or deleverage so that they don’t need the funding any more.  As a result, their funding costs will have gone up as a direct result of QE and if they have any pricing power at all (and they do), then interest rates available to households and small-to-medium sized enterprises (SMEs) will be forced to be higher than they would otherwise have been.  No matter which option banks choose (and most likely they would choose a combination of the two), a negative supply (of credit) shock to the real economy would occur as a result.

If this second broad channel (through regular banks) were to outweigh the first (through pure investment shops), then QE focused on the purchase of long-dated safe assets would, in aggregate, have a negative effect on the economy.  I believe it is this very possibility that has given both the Federal Reserve and the Bank of England pause in their consideration of additional asset purchases.

Of course, if the central bank were not to buy long-dated safe assets but were instead to purchase long-dated risky assets (bundles of corporate bonds, MBS, etc), the supply of safe assets needed for collateral purposes would not be artificially reduced and, to the extent that portfolio rebalancing helps at all, the full efficacy would be obtained.   However, such a strategy would go against the principle that central banks ought to stay away from the decisions regarding the allocation of credit.

All of which is why, I suspect, that the Bank of England has decided to go for their Funding for Lending Scheme.  At it’s heart, the FLS is a collateral swap.  The BoE gives banks gilts and the banks give the BoE bundles of their mortgages and SME loans, plus interest.  The banks can then use the gilts to obtain funding on the wholesale market, while the interest that banks pay the BoE is a decreasing function of how much additional lending the banks make to the real economy.  The mortgages and SME loans that the banks give the BoE will have a haircut applied for safety.  It’ll be pretty tricky to get just right, but in principle it should be able to offset any increase in funding costs that QE may have imposed.

A clear majority of credit creation in Britain takes place via regular banks, so this has the potential to have quite a dramatic effect.  We’ll just have to wait and see …

Terrible news from Apple (AAPL)

Apple just reported their profits for 2011Q4.  It turns out that they made rather a lot of money.  So much, in fact, that they blew past/crushed/smashed expectations as their profit more than doubled on the back of tremendous growth in sales of iPhones and iPads.  [snark] I’ll bet nobody’s talking about Tim Cook being gay now. [/snark]

It’s an incredible result; stunning, really. I just wish it didn’t make me so depressed.

I salute the innovation and cheer on the profits. That is capitalism at its finest and we need more of it.

It’s that f***king mountain of cash (now up to $100 billion) that concerns me, because it’s symptomatic of what is holding America (and Britain) in the economic doldrums.

The return Apple will be getting on that cash will be miniscule, if it’s positive at all, and conceivably negative.  Standing next to that, their return on assets excluding cash is phenomenal.

Why aren’t they doing something with the cash? Are they not able to expand profits still further by expanding quantities sold, even in new markets? Are there no new internal projects to fund? No competitors to buy out? Why not return it to shareholders via dividends or share buybacks?

Logically, a company holds cash for some combination of three reasons: (a) they use it to manage cash flow; (b) they can imagine buying an outside asset (a competitor or some other company that might complement them) in the near future and they want to be able to move quickly (and there’s no M&A deal that’s agreed upon faster than an all cash deal); or (c) they want to demonstrate a degree of security to offset any market perceived risk with their debt.

Apple long ago surpassed all of these benefits.  The net marginal value of Apple holding an extra dollar of cash is negative because it returns nothing and incurs a lost opportunity cost.  So why aren’t their shareholders screaming at them for wasting the opportunity?

The answer, so far as I can see, is because a significant majority of AAPL’s shareholders are idiots with a short-term focus. They have no goddamn clue where else the money should be and they’re just happy to see such a bright spot in their portfolio.  Alternatively, maybe the shareholders aren’t complete idiots — Apple’s P/E ratio has been falling for a while now — but the fundamental point is that they have a mountain of cash that they’re not using.

In 2005 that wouldn’t have been as much of a problem because the shadow banking system was in full swing, doing the risk/liquidity/maturity transformation thing that the financial industry is meant to do and so getting that money out to the rest of the economy.[*] Now, the transformation channel is broken, or at least greatly impaired, and so nobody makes any use of Apple’s billions. They just sit there, useless as f***, while profitable SMEs can’t raise funds to expand and 15% of all Americans are on food stamps.

Don’t believe me?  Here’s a graph from the Bank of England showing year-over-year changes in lending to small- and medium-sized enterprises in the UK.  I can’t be bothered looking for the equivalent data for the USA, but you can rest assured it looks similar.  The report it’s from can be found here (it was published only a few days ago).  The Economist’s Free Exchange has some commentary on it here (summary:  we’re still in trouble).

So what is happening to all that money?  Well, Apple can’t exactly stick it in a bank account, so they repo it, which is a fancy way of saying that they lend it to a bank (or somebody else in the financial industry) and temporarily take some high quality asset like a US government bond to hold as collateral.  They repo it because that’s all they can do now — there are no AAA-rated, actually safe, CDO tranches being created by the shadow banking system any more, they’re too big to make use the FDIC’s guarantee (that’s an excellent paper, btw … highly recommended) and so repo is all they have left.

But the financial industry is stuck in a disgusting mess like some kid’s hair with chewing gum rubbed through it. They’re all just as scared as the next guy (especially of the Euro problems) and so they’re parking it in their own accounts at the Fed and the BoE.  As a result, “excess” reserves remain at astronomical levels and the real economy makes no use of Apple’s billions.

That’s a tragedy.

 

 

 

[*] Yes, the shadow banking industry screwed up. They got caught up in real estate fever and sent (relatively) too much money towards property and too little towards more sustainable investments. They structured things in too opaque a manner, failed to have public price discovery and operated under distorted incentives. But they operated. Otherwise useless cash was transformed into real investment and real jobs. Unless that comes back, America and the UK will stay in their slow, painful household deleveraging cycle for another frickin’ decade.

Improving the Euro

On BBC Radio 4, Jonathan Charles — the BBC’s European correspondent in the 1990s — has done a special on the Euro and the trouble it’s experiencing.  It’s well worth a listen if you have 40 minutes to spare.

It reminded me that I’d meant to write a post on two things I think ought to be done in improving the long-term outlook for the single currency.  None of this is particularly innovative, but I needed to put it down somewhere, so here it is.

First, a European Fiscal Institution (EFI)

At the start of February, when Greece and her public debt was dominating the news, I wrote:

Ultimately, what the EU needs is individual states to be long-term fiscally stable and to have pan-Europe automatic stabilisers so that areas with low unemployment essentially subsidise those with high unemployment. Ideally it would avoid straight inter-government transfers and instead take the form of either encouraging businesses to locate themselves in the areas with high unemployment, or encouraging individuals to move to areas of low unemployment. The latter is difficult in Europe with it’s multitude of languages, but not impossible.

Let me hang some meat on those not-even-bones.  I like the idea of a partially shared, European Fiscal Institution (EFI) that can conduct counter-cyclical spending, subject to strict limits on its mandate.  I am deliberately avoiding calling it an “authority” because that implies a certain freedom of action, which I oppose.  Instead, I think that an EFI should:

  • be limited to implementing commonly-agreed automatic stabilisers (in particular, a universally-agreed-upon minimum level of unemployment benefits);
  • be able to issue its own “Euro bonds”;
  • have a mandate to retain the very highest regard for the safety of its borrowing; and
  • be funded (and its bonds be guaranteed) by member countries in a manner part way between proportionate to population and proportionate to GDP.

I do not think that membership of such an institution should be required of any European country.  If a non-Euro country wants to be in it, fine.  If a Euro country wants to not be in it, fine.

The unemployment benefits provided would be the absolute minimum that everyone could agree on.  I want to emphasise that this should be extremely conservative.  If it ends up being just €100/week for the first month of unemployment, so be it; so long as it is something.  Member countries would provide additional support above the minimum as they see fit.

This will have several benefits:

  • It will help provide pan-European automatic stabilisation in fiscal policy.
  • It will provide crucial intra-European stabilisation.
  • It will increase the supply of long-dated AAA-rated securities at a time when demand for them is incredibly high.
  • It will decrease the ability of Euro member countries to argue that they should be able to violate the terms of the Maastricht Treaty at times of economic hardship as at least some of the heavy lifting in counter-cyclical policy will be done for them.

Second, country-specific lending standards

A crucial problem with a single currency is that it imposes a one-size-fits-all monetary policy on all member states, even when those states’ economies are not perfectly synchronised.  Synchronisation was, and is, one of the requirements for accession to the Euro, but perfect synchronisation is impossible.  In particular, inflation rates have varied significantly across the Euro-area, meaning that the common-to-all interest rates set by the ECB have been, by necessity, too low for those economies with the highest rates of inflation (e.g. Spain) and too high for those with the lowest rates of inflation (e.g. Germany).

But the (causal) link from interest rates to inflation travels via the extension of credit to the private sector, and the level of credit is determined not just from the demand side (with agents responding to changes in interest rates), but also from the supply side (with banks deciding to whom and under what conditions they will grant credit).  Monetary authorities in individual member countries therefore retain the ability to influence the level of credit through regulatory influence on the supply of the same.

Altering reserve requirements for banks operating in one’s country would be the crudest version of this mechanism. A more modern equivalent would be changes to the minimum level for banks’ capital adequacy ratios.  Imagine if the Spanish banking regulators had imposed a requirement of 10% deposits on all mortgages from 2005.

I suspect that the new “macro-prudential” role of the Bank of England, in addition to its role of more conventional — and, with Q.E., unconventional — monetary policy will grant them the ability to engage this sort of control.  I think it will become more important over time, too, as the British economy continues its (to my mind inevitable) decline relative to the Euro-area, the UK moves closer to the textbook definition of a “small, open economy” and the BoE thus finds itself more constricted in their choice of interest rates.

Update 13 September 2010:

The new Basel III capital adequacy requirements are out and they appear to enable exactly this second idea.  Good!

Money multipliers and financial globalisation

Important: Much of this post is mistaken (i.e. wrong).  It’s perfectly possible for America to have an M1 money multiplier of less than one even if they were an entirely closed economy.  My apologies.  I guess that’s what I get for clicking on “Publish” at one in the morning.  A more sensible post should be forthcoming soon.  I’m leaving this here, with all its mistakes, for the sake of completeness and so that people can compare it to my proper post whenever I get around to it.

Update: You can (finally) see the improved post here.  You’ll probably still want to refer back to this one for the graphs.

Via Greg Mankiw, I see that in the USA the M1 money multiplier has just fallen below one:

M1 Money Multiplier (USA, Accessed:  7 Jan 2009)
M1 Money Multiplier (USA, Accessed: 7 Jan 2009)

At the time of writing, the latest figure (for 17 December 2008) was 0.954.  That’s fascinating, because it should be impossible.  As far as I can tell, it has been made possible by the wonders of financial globalisation and was triggered by a decision the US Federal Reserve made at the start of October 2008.  More importantly, it means that America is paying to recapitalise some banks in other countries and while that will help them in the long run, it might be exacerbating the recessions in those countries in the short run.

Money is a strange thing.  One might think it would be easy to define (and hence, to count), but there is substantial disagreement of what qualifies as money and every central bank has their own set of definitions.  In America the definitions are (loosely):

  • M0 (the monetary base) = Physical currency in circulation + reserves held at the Federal Reserve
  • M1 = Physical currency in circulation + deposit (e.g. checking) accounts at regular banks
  • M2 = M1 + savings accounts

They aren’t entirely correct (e.g. M1 also includes travelers cheques, M2 also includes time/term deposits, etc.), but they’ll do for the moment [you can see a variety of countries’ definitions on Wikipedia].

The M1 Money Multiplier is the ratio of M1 to M0.  That is, M1 / M0.

In the normal course of events, regular banks’ reserves at the central bank are only a small fraction of the deposits they hold.  The reason is simple:  The central bank doesn’t pay interest on reserves, so they’d much rather invest (i.e. lend) the money elsewhere.  As a result, they only keep in reserve the minimum that they’re required to by law.

We therefore often think of M1 as being defined as:  M1 = M0 + deposits not held in reserve.

You can hopefully see why it should seem impossible for the M1 money multiplier to fall below 1.  M1 / M0 = (M0 + non-reserve deposits) / M0 = 1 + (non-reserve deposits / M0).  Since the non-reserve deposits are always positive, the ratio should always be greater than one.  So why isn’t it?

Step 1 in understanding why is this press release from the Federal Reserve dated 6 October 2008.  Effective from 1 October 2008, the Fed started paying interest on both required and excess reserves that regular banks (what the Fed calls “depository institutions”) held with it.  The interest payments for required reserves do not matter here, since banks had to keep that money with the Fed anyway.  But by also paying interest on excess reserves, the Fed put a floor under the rate of return that banks demanded from their regular investments (i.e. loans).

The interest rate paid on excess returns has been altered a number of times (see the press releases on 22 Oct, 5 Nov and 16 Dec), but the key point is this:  Suppose that the Fed will pay x% on excess reserves.  That is a risk-free x% available to banks if they want it, while normal investments all involve some degree of risk.  US depository institutions suddenly had a direct incentive to back out of any investment that had a risk-adjusted rate of return less than x% and to put the money into reserve instead, and boy did they jump at the chance.  Excess reserves have leapt tremendously:

Excess Reserves of Depository Institutions (USA, Accessed: 7 January 2009)
Excess Reserves of Depository Institutions (USA, Accessed: 7 Jan 2009)

Corresponding, the monetary base (M0) has soared:

Adjusted Monetary Base (USA, Accessed: 7 Jan 2009)
Adjusted Monetary Base (USA, Accessed: 7 Jan 2009)

If we think of M1 as being M1 = M0 + non-reserve deposits, then we would have expected M1 to increase by similar amounts (a little under US$800 billion).  In reality, it’s only risen by US$200 billion or so:

M1 Money Supply (USA, Accessed: 7 Jan 2009)
M1 Money Stock (USA, Accessed: 7 Jan 2009)

So where have the other US$600 billion come from?  Other countries.

Remember that the real definition of M1 is M1 = Physical currency in circulation + deposit accounts.  The Federal Reserve, when calculating M1, only looks at deposits in America.

By contrast, the definition of the monetary base is M0 = Physical currency in circulation + reserves held at Federal Reserve.  The Fed knows that those reserves came from American depository institutions, but it has no idea where they got it from.

Consider Citibank.  It collects deposits from all over the world, but for simplicity, imagine that it only collects them in America and Britain.  Citibank-UK will naturally keep a fraction of British deposits in reserve with the Bank of England (the British central bank), but it is free to invest the remainder wherever it likes, including overseas.  Since it also has an arm in America that is registered as a depository institution, putting that money in reserve at the Federal Reserve is an option.

That means that, once again, if Citibank-UK can’t get a risk-adjusted rate of return in Britain that is greater than the interest rate the Fed is paying on excess reserves, it will exchange the British pounds for US dollars and put the money in reserve at the Fed.  The only difference is that the risk will now involve the possibility of exchange-rate fluctuations.

It’s not just US-based banks with a presence in other countries, though.  Any non-American bank that has a branch registered as a depository institution in America (e.g. the British banking giant, HSBC) has the option of changing their money into US dollars and putting them in reserve at the Fed.

So what does all of that mean?  I see two implications:

  1. Large non-American banks that have American subsidiaries are enjoying the free money that the Federal Reserve is handing out.  By contrast, smaller non-American banks that do not have American subsidiaries are not able to access the Federal Reserve system and so are forced to find other investments.
  2. The US$600+ billion of foreign money currently parked in reserve at the Fed had to come out of the countries of origin, meaning that it is no longer there to stimulate their economies.  By starting to pay interest on excess reserves, the US Federal Reserve effectively imposed an interest rate increase on other countries.