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The Weekend Quiz – August 15-16, 2020 – answers and discussion

Here are the answers with discussion for this Weekend’s Quiz. The information provided should help you work out why you missed a question or three! If you haven’t already done the Quiz from yesterday then have a go at it before you read the answers. I hope this helps you develop an understanding of Modern Monetary Theory (MMT) and its application to macroeconomic thinking. Comments as usual welcome, especially if I have made an error.

Question 1:

Ignoring any reserve requirements that might be imposed, if the central bank pays a positive interest rate on overnight reserves held by the commercial banks then it may still have to conduct open market operations as a means of ensuring that levels of bank reserves are consistent with its policy target rate of interest.

The answer is True.

The first thing to understand is the way in which monetary policy is implemented in a modern monetary economy. You will see that this is contrary to the account of monetary policy in mainstream macroeconomics textbooks, which tries to tell students that monetary policy describes the processes by which the central bank determines “the total amount of money in existence or to alter that amount”.

In Mankiw’s Principles of Economics (Chapter 27 First Edition) he say that the central bank has “two related jobs”. The first is to “regulate the banks and ensure the health of the financial system” and the second “and more important job”:

… is to control the quantity of money that is made available to the economy, called the money supply. Decisions by policymakers concerning the money supply constitute monetary policy (emphasis in original).

How does the mainstream see the central bank accomplishing this task? Mankiw says:

Fed’s primary tool is open-market operations – the purchase and sale of U.S government bonds … If the FOMC decides to increase the money supply, the Fed creates dollars and uses them buy government bonds from the public in the nation’s bond markets. After the purchase, these dollars are in the hands of the public. Thus an open market purchase of bonds by the Fed increases the money supply. Conversely, if the FOMC decides to decrease the money supply, the Fed sells government bonds from its portfolio to the public in the nation’s bond markets. After the sale, the dollars it receives for the bonds are out of the hands of the public. Thus an open market sale of bonds by the Fed decreases the money supply.

This description of the way the central bank interacts with the banking system and the wider economy is totally false. The reality is that monetary policy is focused on determining the value of a short-term interest rate. Central banks cannot control the money supply. To some extent these ideas were a residual of the commodity money systems where the central bank could clearly control the stock of gold, for example. But in a credit money system, this ability to control the stock of “money” is undermined by the demand for credit.

The theory of endogenous money is central to the horizontal analysis in Modern Monetary Theory (MMT). When we talk about endogenous money we are referring to the outcomes that are arrived at after market participants respond to their own market prospects and central bank policy settings and make decisions about the liquid assets they will hold (deposits) and new liquid assets they will seek (loans).

The essential idea is that the “money supply” in an “entrepreneurial economy” is demand-determined – as the demand for credit expands so does the money supply. As credit is repaid the money supply shrinks. These flows are going on all the time and the stock measure we choose to call the money supply, say M3 (Currency plus bank current deposits of the private non-bank sector plus all other bank deposits from the private non-bank sector) is just an arbitrary reflection of the credit circuit.

So the supply of money is determined endogenously by the level of GDP, which means it is a dynamic (rather than a static) concept.

Central banks clearly do not determine the volume of deposits held each day. These arise from decisions by commercial banks to make loans. The central bank can determine the price of “money” by setting the interest rate on bank reserves. Further expanding the monetary base (bank reserves) as we have argued in recent blogs – Building bank reserves will not expand credit and Building bank reserves is not inflationary – does not lead to an expansion of credit.

With this background in mind, the question is specifically about the dynamics of bank reserves which are used to satisfy any imposed reserve requirements and facilitate the payments system. These dynamics have a direct bearing on monetary policy settings. Given that the dynamics of the reserves can undermine the desired monetary policy stance (as summarised by the policy interest rate setting), the central banks have to engage in liquidity management operations.

What are these liquidity management operations?

Well you first need to appreciate what reserve balances are.

The New York Federal Reserve Bank’s paper – Divorcing Money from Monetary Policy said that:

… reserve balances are used to make interbank payments; thus, they serve as the final form of settlement for a vast array of transactions. The quantity of reserves needed for payment purposes typically far exceeds the quantity consistent with the central bank’s desired interest rate. As a result, central banks must perform a balancing act, drastically increasing the supply of reserves during the day for payment purposes through the provision of daylight reserves (also called daylight credit) and then shrinking the supply back at the end of the day to be consistent with the desired market interest rate.

So the central bank must ensure that all private cheques (that are funded) clear and other interbank transactions occur smoothly as part of its role of maintaining financial stability. But, equally, it must also maintain the bank reserves in aggregate at a level that is consistent with its target policy setting given the relationship between the two.

So operating factors link the level of reserves to the monetary policy setting under certain circumstances. These circumstances require that the return on “excess” reserves held by the banks is below the monetary policy target rate. In addition to setting a lending rate (discount rate), the central bank also sets a support rate which is paid on commercial bank reserves held by the central bank.

Many countries (such as Australia and Canada) maintain a default return on surplus reserve accounts (for example, the Reserve Bank of Australia pays a default return equal to 25 basis points less than the overnight rate on surplus Exchange Settlement accounts). Other countries like the US and Japan have historically offered a zero return on reserves which means persistent excess liquidity would drive the short-term interest rate to zero.

The support rate effectively becomes the interest-rate floor for the economy. If the short-run or operational target interest rate, which represents the current monetary policy stance, is set by the central bank between the discount and support rate. This effectively creates a corridor or a spread within which the short-term interest rates can fluctuate with liquidity variability. It is this spread that the central bank manages in its daily operations.

So the issue then becomes – at what level should the support rate be set? To answer that question, I reproduce a version of teh diagram from the FRBNY paper which outlined a simple model of the way in which reserves are manipulated by the central bank as part of its liquidity management operations designed to implement a specific monetary policy target (policy interest rate setting).

I describe the FRBNY model in detail in the blog post – Understanding central bank operations so I won’t repeat that explanation.

The penalty rate is the rate the central bank charges for loans to banks to cover shortages of reserves. If the interbank rate is at the penalty rate then the banks will be indifferent as to where they access reserves from so the demand curve is horizontal (shown in red).

Once the price of reserves falls below the penalty rate, banks will then demand reserves according to their requirments (the legal and the perceived). The higher the market rate of interest, the higher is the opportunity cost of holding reserves and hence the lower will be the demand. As rates fall, the opportunity costs fall and the demand for reserves increases. But in all cases, banks will only seek to hold (in aggregate) the levels consistent with their requirements.

At low interest rates (say zero) banks will hold the legally-required reserves plus a buffer that ensures there is no risk of falling short during the operation of the payments system.

Commercial banks choose to hold reserves to ensure they can meet all their obligations with respect to the clearing house (payments) system. Because there is considerable uncertainty (for example, late-day payment flows after the interbank market has closed), a bank may find itself short of reserves. Depending on the circumstances, it may choose to keep a buffer stock of reserves just to meet these contingencies.

So central bank reserves are intrinsic to the payments system where a mass of interbank claims are resolved by manipulating the reserve balances that the banks hold at the central bank. This process has some expectational regularity on a day-to-day basis but stochastic (uncertain) demands for payments also occur which means that banks will hold surplus reserves to avoid paying any penalty arising from having reserve deficiencies at the end of the day (or accounting period).

To understand what is going on not that the diagram is representing the system-wide demand for bank reserves where the horizontal axis measures the total quantity of reserve balances held by banks while the vertical axis measures the market interest rate for overnight loans of these balances

In this diagram there are no required reserves (to simplify matters). We also initially, abstract from the deposit rate for the time being to understand what role it plays if we introduce it.

Without the deposit rate, the central bank has to ensure that it supplies enough reserves to meet demand while still maintaining its policy rate (the monetary policy setting.

So the model can demonstrate that the market rate of interest will be determined by the central bank supply of reserves. So the level of reserves supplied by the central bank supply brings the market rate of interest into line with the policy target rate.

At the supply level shown as Point A, the central bank can hit its monetary policy target rate of interest given the banks’ demand for aggregate reserves. So the central bank announces its target rate then undertakes monetary operations (liquidity management operations) to set the supply of reserves to this target level.

So contrary to what Mankiw’s textbook tells students the reality is that monetary policy is about changing the supply of reserves in such a way that the market rate is equal to the policy rate.

The central bank uses open market operations to manipulate the reserve level and so must be buying and selling government debt to add or drain reserves from the banking system in line with its policy target.

If there are excess reserves in the system and the central bank didn’t intervene then the market rate would drop towards zero and the central bank would lose control over its target rate (that is, monetary policy would be compromised).

As explained in the blog post – Understanding central bank operations – the introduction of a support rate payment (deposit rate) whereby the central bank pays the member banks a return on reserves held overnight changes things considerably.

It clearly can – under certain circumstances – eliminate the need for any open-market operations to manage the volume of bank reserves.

In terms of the diagram, the major impact of the deposit rate is to lift the rate at which the demand curve becomes horizontal (as depicted by the new horizontal red segment moving up via the arrow).

This policy change allows the banks to earn overnight interest on their excess reserve holdings and becomes the minimum market interest rate and defines the lower bound of the corridor within which the market rate can fluctuate without central bank intervention.

So in this diagram, the market interest rate is still set by the supply of reserves (given the demand for reserves) and so the central bank still has to manage reserves appropriately to ensure it can hit its policy target.

If there are excess reserves in the system in this case, and the central bank didn’t intervene, then the market rate will drop to the support rate (at Point B).

So if the central bank wants to maintain control over its target rate it can either set a support rate below the desired policy rate (as in Australia) and then use open market operations to ensure the reserve supply is consistent with Point A or set the support (deposit) rate equal to the target policy rate.

The answer to the question is thus True because it all depends on where the support rate is set. Only if it set equal to the policy rate will there be no need for the central bank to manage liquidity via open market operations.

The following blog posts may be of further interest to you:

Question 2:

If participation rates are constant, percentage unemployment will not change as long as employment growth matches the pace of growth in the working age population (people above 15 years of age).

The answer is True.

The Civilian Population is shorthand for the working age population and can be defined as all people between 15 and 65 years of age or persons above 15 years of age, depending on rules governing retirement. The working age population is then decomposed within the Labour Force Framework (used to collect and disseminate labour force data) into two categories: (a) the Labour Force; and (b) Not in the Labour Force. This demarcation is based on activity principles (willingness, availability and seeking work or being in work).

The participation rate is defined as the proportion of the working age population that is in the labour force. So if the working age population was 1000 and the participation rate was 65 per cent, then the labour force would be 650 persons. So the labour force can vary for two reasons: (a) growth in the working age population – demographic trends; and (b) changes in the participation rate.

The labour force is decomposed into employment and unemployment. To be employed you typically only have to work one hour in the survey week. To be unemployed you have to affirm that you are available, willing and seeking employment if you are not working one hour or more in the survey week. Otherwise, you will be classified as not being in the labour force.

So the hidden unemployed are those who give up looking for work (they become discouraged) yet are willing and available to work. They are classified by the statistician as being not in the labour force. But if they were offered a job today they would immediately accept it and so are in no functional way different from the unemployed.

When economic growth wanes, participation rates typically fall as the hidden unemployed exit the labour force. This cyclical phenomenon acts to reduce the official unemployment rate.

So clearly, the working age population is a much larger aggregate than the labour force and, in turn, employment. Clearly if the participation rate is constant then the labour force will grow at the same rate as the civilian population. And if employment grows at that rate too then while the gap between the labour force and employment will increase in absolute terms (which means that unemployment will be rising), that gap in percentage terms will be constant (that is the unemployment rate will be constant).

The following Table simulates a simple labour market for 8 periods. You can see for the first 4 periods, that unemployment rises steadily over time but the unemployment rate is constant. During this time span employment growth is equal to the growth in the underlying working age population and the participation rate doesn’t change. So the unemployment rate will be constant although more people will be unemployed.

In Period 5, the participation rate rises so that even though there is constant growth (2 per cent) in the working age population, the labour force growth rate rises to 3.6 per cent. Now unemployment jumps disproportionately because employment growth (2 per cent) is not keeping pace with the growth in new entrants to the labour force and as a consequence the unemployent rate rises to 11 per cent.

In Period 6, employment growth equals labour force growth (because the participation rate settles at the new level – 66 per cent) and the unemployment rate is constant.

In Period 7, the participation rate plunges to 64 per cent and the labour force contracts (as the higher proportion of the working age population are inactive – that is, not participating). As a consequence, unemployment falls dramatically as does the unemployment rate. But this is hardly a cause for celebration – the unemployed are now hidden by the statistician “outside the labour force”.

Understanding these aggregates is very important because as we often see when Labour Force data is released by national statisticians the public debate becomes distorted by the incorrect way in which employment growth is represented in the media.

In situations where employment growth keeps pace with the underlying population but the participation rate falls then the unemployment rate will also fall. By focusing on the link between the positive employment growth and the declining unemployment there is a tendency for the uninformed reader to conclude that the economy is in good shape. The reality, of-course, is very different.

The following blog posts may be of further interest to you:

Question 3:

Mainstream monetary theory highlights the concept of a money multiplier which says that the money supply is some multiple of the monetary base (bank reserves and currency). There is a direct relationship between the monetary base and the broad money supply in a modern monetary economy.

The answer is True.

Mainstream macroeconomics textbooks are completely wrong when they discuss the credit-creation capacity of commercial banks and use the concept of the money multiplier to describe the relationship between the monetary base and the money supply.

They posit that the multiplier m transmits changes in the so-called monetary base (MB) (the sum of bank reserves and currency at issue) into changes in the money supply (M). The chapters on money usually present some arcane algebra which is deliberately designed to impart a sense of gravitas or authority to the students who then mindlessly ape what is in the textbook.

They rehearse several times in their undergraduate courses (introductory and intermediate macroeconomics; money and banking; monetary economics etc) the mantra that the money multiplier is usually expressed as the inverse of the required reserve ratio plus some other novelties relating to preferences for cash versus deposits by the public.

Accordingly, the students learn that if the central bank told private banks that they had to keep 10 per cent of total deposits as reserves then the required reserve ratio (RRR) would be 0.10 and m would equal 1/0.10 = 10. More complicated formulae are derived when you consider that people also will want to hold some of their deposits as cash. But these complications do not add anything to the story.

The formula for the determination of the money supply is: M = m x MB. So if a $1 is newly deposited in a bank, the money supply will rise (be multiplied) by $10 (if the RRR = 0.10). The way this multiplier is alleged to work is explained as follows (assuming the bank is required to hold 10 per cent of all deposits as reserves):

  • A person deposits say $100 in a bank.
  • To make money, the bank then loans the remaining $90 to a customer.
  • They spend the money and the recipient of the funds deposits it with their bank.
  • That bank then lends 0.9 times $90 = $81 (keeping 0.10 in reserve as required).
  • And so on until the loans become so small that they dissolve to zero

None of this is remotely accurate in terms of depicting how the banks make loans. It is an important device for the mainstream because it implies that banks take deposits to get funds which they can then on-lend. But prudential regulations require they keep a little in reserve. So we get this credit creation process ballooning out due to the fractional reserve requirements.

The money multiplier myth also leads students to think that as the central bank can control the monetary base then it can control the money supply. Further, given that inflation is allegedly the result of the money supply growing too fast then the blame is sheeted home to the “government”. This leads to claims that if the government runs a budget deficit then it has to issue bonds to avoid causing hyperinflation. Nothing could be further from the truth.

That is nothing like the way the banking system operates in the real world. The idea that the monetary base (the sum of bank reserves and currency) leads to a change in the money supply via some multiple is not a valid representation of the way the monetary system operates.

First, the central bank does not have the capacity to control the money supply in a modern monetary system. In the world we live in, bank loans create deposits and are made without reference to the reserve positions of the banks. The bank then ensures its reserve positions are legally compliant as a separate process knowing that it can always get the reserves from the central bank. The only way that the central bank can influence credit creation in this setting is via the price of the reserves it provides on demand to the commercial banks.

Second, this suggests that the decisions by banks to lend may be influenced by the price of reserves rather than whether they have sufficient reserves. They can always get the reserves that are required at any point in time at a price, which may be prohibitive.

Third, the money multiplier story has the central bank manipulating the money supply via open market operations. So they would argue that the central bank might buy bonds to the public to increase the money base and then allow the fractional reserve system to expand the money supply. But a moment’s thought will lead you to conclude this would be futile unless a support rate on excess reserves equal to the current policy rate was being paid.

Why? The open market purchase would increase bank reserves and the commercial banks, in lieu of any market return on the overnight funds, would try to place them in the interbank market. Of-course, any transactions at this level (they are horizontal) net to zero so all that happens is that the excess reserve position of the system is shuffled between banks. But in the process the interbank return would start to fall and if the process was left to resolve, the overnight rate would fall to zero and the central bank would lose control of its monetary policy position (unless it was targetting a zero interest rate).

In lieu of a support rate equal to the target rate, the central bank would have to sell bonds to drain the excess reserves. The same futility would occur if the central bank attempted to reduce the money supply by instigating an open market sale of bonds.

In all cases, the central bank cannot influence the money supply in this way.

Fourth, given that the central bank adds reserves on demand to maintain financial stability and this process is driven by changes in the money supply as banks make loans which create deposits.

So the operational reality is that the dynamics of the monetary base (MB) are driven by the changes in the money supply which is exactly the reverse of the causality presented by the monetary multiplier.

So in fact we might write MB = M/m.

Thus, while the concept of money multiplier is an incorrect depiction of the way the monetary system works, it remains that there is a direct relationship between the monetary base and the “money supply”.

You might like to read these blog posts for further information:

That is enough for today!

(c) Copyright 2020 William Mitchell. All Rights Reserved.

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    This Post Has 3 Comments
    1. So I could say there is a direct relationship between the rpm of the engine and the rpm of the drive wheels in a car with a multi gear automatic transmission? Even though knowing the rpm of the engine will not allow me to know how fast those wheels are turning? I don’t think your idea of a ‘direct relationship’ is reasonable here. I will award 3/4 credit to myself for this question.

    2. Jerry,

      The money multiplier from mainstream will tell you precisely how many loans the bank will issue and what the money supply will be.

      It’s a mathematical shorthand that can be proven to be identical to a “loans create deposits” approach (as long as you ignore loans going bad). There’s a paper somewhere that does just that.

      The problem mainstream has is believing the variables in their ex-post calculation have ex-ante control powers. They don’t

    3. Thanks Neil. Apparently I misunderstood what the question was asking. Goodbye to that 3/4 credit I awarded myself.

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