# The Weekend Quiz – April 13-14, 2019 – 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:

The statement that lending is capital-constrained rather than reserve constrained would not apply if the banks had to maintain a reserve ratio of 100 per cent.

In a “fractional reserve” banking system of the type the US runs (which is really one of the relics that remains from the gold standard/convertible currency era that ended in 1971), the banks have to retain a certain percentage of deposits as reserves with the central bank. You can read about the fractional reserve system from the Federal Point page maintained by the FRNY.

Where confusion as to the role of reserve requirements begins is when you open a mainstream economics textbooks and ‘learn’ that the fractional reserve requirements provide the capacity through which the private banks can create money. The whole myth about the money multiplier is embedded in this erroneous conceptualisation of banking operations.

The FRNY educational material also perpetuates this myth. They say:

If the reserve requirement is 10%, for example, a bank that receives a \$100 deposit may lend out \$90 of that deposit. If the borrower then writes a check to someone who deposits the \$90, the bank receiving that deposit can lend out \$81. As the process continues, the banking system can expand the initial deposit of \$100 into a maximum of \$1,000 of money (\$100+\$90+81+\$72.90+…=\$1,000). In contrast, with a 20% reserve requirement, the banking system would be able to expand the initial \$100 deposit into a maximum of \$500 (\$100+\$80+\$64+\$51.20+…=\$500). Thus, higher reserve requirements should result in reduced money creation and, in turn, in reduced economic activity.

This is not an accurate description of the way the banking system actually operates and the FRNY (for example) clearly knows their representation is stylised and inaccurate. Later in the same document they they qualify their depiction to the point of rendering the last paragraph irrelevant. After some minor technical points about which deposits count to the requirements, they say this:

Furthermore, the Federal Reserve operates in a way that permits banks to acquire the reserves they need to meet their requirements from the money market, so long as they are willing to pay the prevailing price (the federal funds rate) for borrowed reserves. Consequently, reserve requirements currently play a relatively limited role in money creation in the United States.

In other words, the required reserves play no role in the credit creation process.

The actual operations of the monetary system are described in this way. Banks seek to attract credit-worthy customers to which they can loan funds to and thereby make profit. What constitutes credit-worthiness varies over the business cycle and so lending standards become more lax at boom times as banks chase market share (this is one of Minsky’s drivers).

These loans are made independent of the banks’ reserve positions. Depending on the way the central bank accounts for commercial bank reserves, the latter will then seek funds to ensure they have the required reserves in the relevant accounting period. They can borrow from each other in the interbank market but if the system overall is short of reserves these “horizontal” transactions will not add the required reserves. In these cases, the bank will sell bonds back to the central bank or borrow outright through the device called the “discount window”.

At the individual bank level, certainly the ‘price of reserves’ will play some role in the credit department’s decision to loan funds. But the reserve position per se will not matter. So as long as the margin between the return on the loan and the rate they would have to borrow from the central bank through the discount window is sufficient, the bank will lend.

So the idea that reserve balances are required initially to ‘finance’ bank balance sheet expansion via rising excess reserves is inapplicable. A bank’s ability to expand its balance sheet is not constrained by the quantity of reserves it holds or any fractional reserve requirements. The bank expands its balance sheet by lending. Loans create deposits which are then backed by reserves after the fact. The process of extending loans (credit) which creates new bank liabilities is unrelated to the reserve position of the bank.

The major insight is that any balance sheet expansion which leaves a bank short of the required reserves may affect the return it can expect on the loan as a consequence of the ‘penalty’ rate the central bank might exact through the discount window. But it will never impede the bank’s capacity to effect the loan in the first place.

The money multiplier myth 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’ (the central bank in this case).

The reality is that the reserve requirements that might be in place at any point in time do not provide the central bank with a capacity to control the money supply.

So would it matter if reserve requirements were 100 per cent? In this blog post – 100-percent reserve banking and state banks – I discuss the concept of a 100 per cent reserve system which is favoured by many conservatives who believe that the fractional reserve credit creation process is inevitably inflationary.

There are clearly an array of configurations of a 100 per cent reserve system in terms of what might count as reserves. For example, the system might require the reserves to be kept as gold. In the old ‘Giro’ or ‘100 percent reserve’ banking system which operated by people depositing ‘specie’ (gold or silver) which then gave them access to bank notes issued up to the value of the assets deposited. Bank notes were then issued in a fixed rate against the specie and so the money supply could not increase without new specie being discovered.

Another option might be that all reserves should be in the form of government bonds, which would be virtually identical (in the sense of “fiat creations”) to the present system of central bank reserves.

While all these issues are interesting to explore in their own right, the question does not relate to these system requirements of this type. It was obvious that the question maintained a role for central bank (which would be unnecessary in a 100-per cent reserve system based on gold, for example.

It is also assumed that the reserves are of the form of current current central bank reserves with the only change being they should equal 100 per cent of deposits.

We also avoid complications like what deposits have to be backed by reserves and assume all deposits have to so backed.

In the current system, the the central bank ensures there are enough reserves to meet the needs generated by commercial bank deposit growth (that is, lending). As noted above, the required reserve ratio has no direct influence on credit growth. So it wouldn’t matter if the required reserves were 10 per cent, 0 per cent or 100 per cent.

In a fiat currency system, commercial banks require no reserves to expand credit. Even if the required reserves were 100 per cent, then with no other change in institutional structure or regulations, the central bank would still have to supply the reserves in line with deposit growth.

Now I noted that the central bank might be able to influence the behaviour of banks by imposing a penalty on the provision of reserves. It certainly can do that. As a monopolist, the central bank can set the price and supply whatever volume is required to the commercial banks.

But the price it sets will have implications for its ability to maintain the current policy interest rate which we consider in Question 3.

The central bank maintains its policy rate via open market operations. What really happens when an open market purchase (for example) is made is that the central bank adds reserves to the banking system. This will drive the interest rate down if the new reserve position is above the minimum desired by the banks. If the central bank wants to maintain control of the interest rate then it has to eliminate any efforts by the commercial banks in the overnight interbank market to eliminate excess reserves.

One way it can do this is by selling bonds back to the banks. The same would work in reverse if it was to try to contract the money supply (a la money multiplier logic) by selling government bonds.

The point is that the central bank cannot control the money supply in this way (or any other way) except to price the reserves at a level that might temper bank lending.

So if it set a price of reserves above the current policy rate (as a penalty) then the policy rate would lose traction.

The fact is that it is endogenous changes in the money supply (driven by bank credit creation) that lead to changes in the monetary base (as the central bank adds or subtracts reserves to ensure the ‘price’ of reserves is maintained at its policy-desired level). Exactly the opposite to that depicted in the mainstream money multiplier model.

The other fact is that the money supply is endogenously generated by the horizontal credit (leveraging) activities conducted by banks, firms, investors etc – the central bank is not involved at this level of activity.

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

Question 2:

It is impossible for a government to run a public surplus without impairing growth because it is likely that the private domestic sector will desire to save overall.

The question has one true statement in it which if not considered in relation to the rationale for the true statement would lead one to answer True. But the rationale presented in the question is false and so the overall question is false.

The true statement is that “it is impossible for a government to run a public surplus without impairing growth”. The false rationale then is that the reason the first statement is true is “because it is likely that the private domestic sector will desire to save overall”.

The question thus tests a knowledge of the sectoral balances and their interactions, the behavioural relationships that generate the flows which are summarised by decomposing the national accounts into these balances, and the constraints that is placed on the behaviour within the three sectors that is evident in the requirement that the balances must add up to zero as a matter of accounting.

To refresh your memory the balances are derived as follows. The basic income-expenditure model in macroeconomics can be viewed in (at least) two ways: (a) from the perspective of the sources of spending; and (b) from the perspective of the uses of the income produced. Bringing these two perspectives (of the same thing) together generates the sectoral balances.

From the sources perspective we write:

(1) GDP = C + I + G + (X – M)

which says that total national income (GDP) is the sum of total final consumption spending (C), total private investment (I), total government spending (G) and net exports (X – M).

Expression (1) tells us that total income in the economy per period will be exactly equal to total spending from all sources of expenditure.

We also have to acknowledge that financial balances of the sectors are impacted by net government taxes (T) which includes all tax revenue minus total transfer and interest payments (the latter are not counted independently in the expenditure Expression (1)).

Further, as noted above the trade account is only one aspect of the financial flows between the domestic economy and the external sector. we have to include net external income flows (FNI).

Adding in the net external income flows (FNI) to Expression (2) for GDP we get the familiar gross national product or gross national income measure (GNP):

(2) GNP = C + I + G + (X – M) + FNI

To render this approach into the sectoral balances form, we subtract total net taxes (T) from both sides of Expression (3) to get:

(3) GNP – T = C + I + G + (X – M) + FNI – T

Now we can collect the terms by arranging them according to the three sectoral balances:

(4) (GNP – C – T) – I = (G – T) + (X – M + FNI)

The the terms in Expression (4) are relatively easy to understand now.

The term (GNP – C – T) represents total income less the amount consumed less the amount paid to government in taxes (taking into account transfers coming the other way). In other words, it represents private domestic saving.

The left-hand side of Equation (4), (GNP – C – T) – I, thus is the overall saving of the private domestic sector, which is distinct from total household saving denoted by the term (GNP – C – T).

In other words, the left-hand side of Equation (4) is the private domestic financial balance and if it is positive then the sector is spending less than its total income and if it is negative the sector is spending more than it total income.

The term (G – T) is the government financial balance and is in deficit if government spending (G) is greater than government tax revenue minus transfers (T), and in surplus if the balance is negative.

Finally, the other right-hand side term (X – M + FNI) is the external financial balance, commonly known as the current account balance (CAD). It is in surplus if positive and deficit if negative.

In English we could say that:

The private financial balance equals the sum of the government financial balance plus the current account balance.

We can re-write Expression (6) in this way to get the sectoral balances equation:

(5) (S – I) = (G – T) + CAB

which is interpreted as meaning that government sector deficits (G – T > 0) and current account surpluses (CAB > 0) generate national income and net financial assets for the private domestic sector.

Conversely, government surpluses (G – T < 0) and current account deficits (CAB < 0) reduce national income and undermine the capacity of the private domestic sector to add financial assets.

Expression (5) can also be written as:

(6) [(S – I) – CAB] = (G – T)

where the term on the left-hand side [(S – I) – CAB] is the non-government sector financial balance and is of equal and opposite sign to the government financial balance.

This is the familiar MMT statement that a government sector deficit (surplus) is equal dollar-for-dollar to the non-government sector surplus (deficit).

The sectoral balances equation says that total private savings (S) minus private investment (I) has to equal the public deficit (spending, G minus taxes, T) plus net exports (exports (X) minus imports (M)) plus net income transfers.

All these relationships (equations) hold as a matter of accounting and not matters of opinion.

So you might have been thinking that because the private domestic sector desired to save, then the government would have to be in deficit and hence the answer was true. But, of-course, the private domestic sector is only one part of the non-government sector – the other being the external sector.

Most countries currently run external deficits. This means that if the government sector is in surplus the private domestic sector has to be in deficit.

However, some countries have to run external surpluses if there is at least one country running an external deficit. That country can depending on the relative magnitudes of the external balance and private domestic balance, run a public surplus while maintaining strong economic growth. For example, Norway.

In this case an increasing desire to save by the private domestic sector in the face of fiscal drag coming from the fiscal outcome surplus can be offset by a rising external surplus with growth unimpaired. So the decline in domestic spending is compensated for by a rise in net export income.

So it becomes obvious why the rationale is false and the overall answer to the question is false.

It is not impossible for a governments to run a public surpluses and not impair growth because the nation might be running an external surplus.

For nations running external deficits (the majority), public surpluses have to be associated (given the underlying behaviour that generates these aggregates) with private domestic deficits.

So you can sustain economic growth with a private domestic surplus and government surplus if the external surplus is large enough. So a growth strategy can still be consistent with a public surplus. Clearly not every country can adopt this strategy given that the external positions net out to zero themselves across all trading nations. So for every external surplus recorded there has to be equal deficits spread across other nations.

Question 3:

A rising government deficit indicates an expansionary shift in policy and the challenge is to calibrate that expansion to ensure nominal demand growth does not exceed the real capacity of the economy to respond by increasing real output.

Again this question has two premises – a statement and a related consequence. In this case the statement that “rising government deficit indicates an expansionary shift in policy” is false and the related consequence that “the challenge is to calibrate that expansion to ensure nominal demand growth does not exceed the real capacity of the economy to respond by increasing real output” is true.

Taken together the answer is false.

First, it is clearly central to the concept of fiscal sustainability that governments attempt to manage aggregate demand so that nominal growth in spending is consistent with the ability of the economy to respond to it in real terms. So full employment and price stability are connected goals and MMT demonstrates how a government can achieve both with some help from a buffer stock of jobs (the Job Guarantee).

Second, the statement that a “rising government deficit indicates an expansionary shift in policy” is exploring the issue of decomposing the observed fiscal balance into the discretionary (now called structural) and cyclical components. The latter component is driven by the automatic stabilisers that are in-built into the fiscal process.

The federal fiscal balance is the difference between total federal revenue and total federal outlays. So if total revenue is greater than outlays, the fiscal outcome is in surplus and vice versa. It is a simple matter of accounting with no theory involved. However, the fiscal balance is used by all and sundry to indicate the fiscal stance of the government.

So if the fiscal outcome is in surplus it is often concluded that the fiscal impact of government is contractionary (withdrawing net spending) and if the fiscal outcome is in deficit we say the fiscal impact expansionary (adding net spending).

Further, a rising deficit (falling surplus) is often considered to be reflecting an expansionary policy stance and vice versa. What we know is that a rising deficit may, in fact, indicate a contractionary fiscal stance – which, in turn, creates such income losses that the automatic stabilisers start driving the fiscal outcome back towards (or into) deficit.

So the complication is that we cannot conclude that changes in the fiscal impact reflect discretionary policy changes. The reason for this uncertainty clearly relates to the operation of the automatic stabilisers.

To see this, the most simple model of the fiscal balance we might think of can be written as:

fiscal Balance = Revenue – Spending.

fiscal Balance = (Tax Revenue + Other Revenue) – (Welfare Payments + Other Spending)

We know that Tax Revenue and Welfare Payments move inversely with respect to each other, with the latter rising when GDP growth falls and the former rises with GDP growth. These components of the fiscal balance are the so-called automatic stabilisers

In other words, without any discretionary policy changes, the fiscal balance will vary over the course of the business cycle. When the economy is weak – tax revenue falls and welfare payments rise and so the fiscal balance moves towards deficit (or an increasing deficit). When the economy is stronger – tax revenue rises and welfare payments fall and the fiscal balance becomes increasingly positive. Automatic stabilisers attenuate the amplitude in the business cycle by expanding the fiscal outcome in a recession and contracting it in a boom.

So just because the fiscal outcome goes into deficit doesn’t allow us to conclude that the Government has suddenly become of an expansionary mind. In other words, the presence of automatic stabilisers make it hard to discern whether the fiscal policy stance (chosen by the government) is contractionary or expansionary at any particular point in time.

To overcome this uncertainty, economists devised what used to be called the ‘Full Employment’ or ‘High Employment Budget’. In more recent times, this concept is now called the Structural Balance. The change in nomenclature is very telling because it occurred over the period that neo-liberal governments began to abandon their commitments to maintaining full employment and instead decided to use unemployment as a policy tool to discipline inflation.

The ‘Full Employment Budget Balance; was a hypothetical construct of the fiscal balance that would be realised if the economy was operating at potential or full employment. In other words, calibrating the fiscal position (and the underlying fiscal parameters) against some fixed point (full capacity) eliminated the cyclical component – the swings in activity around full employment.

So a full employment fiscal outcome would be balanced if total outlays and total revenue were equal when the economy was operating at total capacity. If the fiscal outcome was in surplus at full capacity, then we would conclude that the discretionary structure of the fiscal outcome was contractionary and vice versa if the fiscal outcome was in deficit at full capacity.

The calculation of the structural deficit spawned a bit of an industry in the past with lots of complex issues relating to adjustments for inflation, terms of trade effects, changes in interest rates and more.

Much of the debate centred on how to compute the unobserved full employment point in the economy. There were a plethora of methods used in the period of true full employment in the 1960s. All of them had issues but like all empirical work – it was a dirty science – relying on assumptions and simplifications. But that is the nature of the applied economist’s life.

As I explain in the blog posts cited below, the measurement issues have a long history and current techniques and frameworks based on the concept of the Non-Accelerating Inflation Rate of Unemployment (the NAIRU) bias the resulting analysis such that actual discretionary positions which are contractionary are seen as being less so and expansionary positions are seen as being more expansionary.

The result is that modern depictions of the structural deficit systematically understate the degree of discretionary contraction coming from fiscal policy.

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

That is enough for today!

1. Simon Cohen says:

Bill, or anyone else with the time and knowledge-could the following be explained:

‘We also avoid complications like what deposits have to be backed by reserves and assume all deposits have to so backed.’

I’d assumed all bank deposits would need reserve backing at least when payments from/to them are happening (via real time gross settlement). The only deposits I can imagine not needing reserve backing might be Government deposits of some sort at banks which, I assume, would be reserves anyway? Maybe Government tax accounts operate likes this but I don’t really know.

2. Simon says:

“So you can sustain economic growth with a private domestic surplus and government surplus if the external surplus is large enough.”

So in certain circumstances, Norway can have all three sectors in surplus at the same time? I thought the sectoral balances meant a surplus had to be equalled with a deficit somewhere in the national accounting?

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