# The Weekend Quiz – March 17-18, 2018 – 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:

Start from a situation where both the external surplus and the fiscal surplus are equal to 2 per cent of GDP. If the fiscal balance stays constant and the external surplus rises to be 4 per cent of GDP then national income has to rise and the private domestic balance moves from 0 to 2 per cent of GDP.

This question applies the sectoral balances approach.

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) + CAD

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

Conversely, government surpluses (G – T < 0) and current account deficits (CAD < 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) – CAD] = (G – T)

where the term on the left-hand side [(S – I) – CAD] 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.

Consider the following graph and accompanying table which depicts two periods outlined in the question.

In Period 1, with an external surplus of 2 per cent of GDP and a fiscal surplus of 2 per cent of GDP the private domestic balance is zero. The demand injection from the external sector is exactly offset by the demand drain (the fiscal drag) coming from the fiscal balance and so the private sector can neither net save or spend more than they earn.

In Period 2, with the external sector adding more to demand now – surplus equal to 4 per cent of GDP and the fiscal balance unchanged (this is stylised – in the real world the fiscal outcome will certainly change due to variations in national income impacting on tax receipts), there is a stimulus to spending and national income would rise.

The rising national income also provides the capacity for the private sector to save overall and so they can now save 2 per cent of GDP.

The fiscal drag is overwhelmed by the rising net exports.

This is a highly stylised example and you could tell a myriad of stories that would be different in description but none that could alter the basic point.

If the drain on spending (from the public sector) is more than offset by an external demand injection, then GDP rises and the private sector overall saving increases.

If the drain on spending from the fiscal position outweighs the external injections into the spending stream then GDP falls (or growth is reduced) and the overall private balance would fall into deficit.

Question 2:

If all bank loans had to be backed by reserves held at the bank then this would act as a brake on the capacity of the banks to lend.

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 (10 per cent currently in the US) 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 – 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 is another issue altogether.

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 blogs for further information:

Question 3:

Assume a nation’s central bank successfully maintains a zero interest rate policy and recession keeps the inflation rate at zero. Under these circumstances a program of fiscal austerity can reduce the public debt ratio even if the movements in the automatic stabilisers reduce the growth of tax revenue.

First, some background.

While Modern Monetary Theory (MMT) places no particular importance in the public debt to GDP ratio for a sovereign government, given that insolvency is not an issue, the mainstream debate is dominated by the concept.

The unnecessary practice of fiat currency-issuing governments of issuing public debt \$-for-\$ to match public net spending (deficits) ensures that the debt levels will rise when there are deficits.

Rising deficits usually mean declining economic activity (especially if there is no evidence of accelerating inflation) which suggests that the debt/GDP ratio may be rising because the denominator is also likely to be falling or rising below trend.

Further, historical experience tells us that when economic growth resumes after a major recession, during which the public debt ratio can rise sharply, the latter always declines again.

It is this endogenous nature of the ratio that suggests it is far more important to focus on the underlying economic problems which the public debt ratio just mirrors.

However, mainstream economics starts with the analogy between the household and the sovereign government such that any excess in government spending over taxation receipts has to be “financed” in two ways: (a) by borrowing from the public; and/or (b) by “printing money”.

This basic analogy is flawed at its most elemental level. The household must work out the financing before it can spend. The household cannot spend first. The government can spend first and ultimately does not have to worry about financing such expenditure.

However, in mainstream framework for analysing these so-called “financing” choices is called the government budget constraint (GBC). The GBC says that the fiscal deficit in year t is equal to the change in government debt over year t plus the change in high powered money over year t. So in mathematical terms it is written as:

Which you can read in English as saying that Budget deficit = Government spending + Government interest payments – Tax receipts must equal (be “financed” by) a change in Bonds (B) and/or a change in high powered money (H). The triangle sign (delta) is just shorthand for the change in a variable.

However, this is merely an accounting statement. In a stock-flow consistent macroeconomics, this statement will always hold. That is, it has to be true if all the transactions between the government and non-government sector have been corrected added and subtracted.

So in terms of MMT, the previous equation is just an ex post accounting identity that has to be true by definition and has not real economic importance.

But for the mainstream economist, the equation represents an ex ante (before the fact) financial constraint that the government is bound by. The difference between these two conceptions is very significant and the second (mainstream) interpretation cannot be correct if governments issue fiat currency (unless they place voluntary constraints on themselves to act as if it is).

Further, in mainstream economics, money creation is erroneously depicted as the government asking the central bank to buy treasury bonds which the central bank in return then prints money. The government then spends this money. This is called debt monetisation and you can find out why this is typically not a viable option for a central bank by reading the Deficits 101 suite – Deficit spending 101 – Part 1Deficit spending 101 – Part 2Deficit spending 101 – Part 3.

Anyway, the mainstream claims that if governments increase the money growth rate (they erroneously call this “printing money”) the extra spending will cause accelerating inflation because there will be “too much money chasing too few goods”! Of-course, we know that proposition to be generally preposterous because economies that are constrained by deficient demand (defined as demand below the full employment level) respond to nominal demand increases by expanding real output rather than prices. There is an extensive literature pointing to this result.

So when governments are expanding deficits to offset a collapse in private spending, there is plenty of spare capacity available to ensure output rather than inflation increases.

But not to be daunted by the “facts”, the mainstream claim that because inflation is inevitable if “printing money” occurs, it is unwise to use this option to “finance” net public spending.

Hence they say as a better (but still poor) solution, governments should use debt issuance to “finance” their deficits. They also claim this is a poor option because in the short-term it is alleged to increase interest rates and in the longer-term is results in higher future tax rates because the debt has to be “paid back”.

Neither proposition bears scrutiny – you can read these blogs – Will we really pay higher taxes? and Will we really pay higher interest rates? – for further discussion on these points.

A primary fiscal balance is the difference between government spending (excluding interest rate servicing) and taxation revenue.

The standard mainstream framework, which even the so-called progressives (deficit-doves) use, focuses on the ratio of debt to GDP rather than the level of debt per se. The following equation captures the approach:

So the change in the debt ratio is the sum of two terms on the right-hand side: (a) the difference between the real interest rate (r) and the GDP growth rate (g) times the initial debt ratio; and (b) the ratio of the primary deficit (G-T) to GDP.

The real interest rate is the difference between the nominal interest rate and the inflation rate.

The standard formula above can easily demonstrate that a nation running a primary deficit can reduce its public debt ratio over time as long as economic growth is strong enough.

Furthermore, depending on contributions from the external sector, a nation running a deficit will more likely create the conditions for a reduction in the public debt ratio than a nation that introduces an austerity plan aimed at running primary surpluses.

But it is also true that an austerity package which damages real growth can also reduce the public debt ratio.

That is the focus of this question. Assumes:

• Current public debt to GDP ratio is 100 per cent = 1. This assumption doesn’t alter the conclusion it just makes the numbers easy.
• Nominal interest rate (i) and the inflation rate (p) remain constant and zero, which means the real interest rate (r = i – p) = 0.

The following Table shows three cases:

• Case A – primary fiscal surplus to GDP ratio exceeds the negative GDP growth rate.
• Case B – primary fiscal to GDP ratio is equal to the negative GDP growth rate.
• Case C – primary fiscal to GDP ratio is less than the negative GDP growth rate.

The case in question is Case A.

In Case A, the primary fiscal surplus to GDP ratio (2 per cent – note it is presented as a negative figure given that the fiscal balance is presented as [G – T]) exceeds the negative GDP growth rate (-1 per cent). In this case, the debt ratio falls by the difference (given the real interest rate is zero).

>

As long as the primary surplus as a per cent of GDP is exactly equal to the negative GDP growth rate (Case B), there can be no reduction in the public debt ratio. This is because what is being added proportionately to the numerator of the ratio is also being added to the denominator.

Under Case C where the primary fiscal surplus is 2 per cent and the contraction in real GDP is 3 percent for the debt ratio rises by the difference.

How likely is it that Case A would occur in the real world when the government was pursuing such a fiscal path? Answer: unlikely.

First, fiscal austerity will probably push the GDP growth rate further into negative territory which, other things equal, pushes the public debt ratio up. Why? The fiscal balance is endogenous (that is, depends on private activity levels) because of the importance of the automatic stabilisers.

As GDP contracts, tax revenue falls and welfare outlays rise. It is highly likely that the government would not succeed in achieving a fiscal surplus under these circumstances.

So as GDP growth declines further, the automatic stabilisers will push the balance result towards (and into after a time) deficit, which, given the borrowing rules that governments volunatarily enforce on themselves, also pushed the public debt ratio up.

So austerity packages, quite apart from their highly destructive impacts on real standards of living and social standards, typically fail to reduce public debt ratios and usually increase them.

So even if you were a conservative and erroneously believed that high public debt ratios were the devil’s work, it would be foolish (counter-productive) to impose fiscal austerity on a nation as a way of addressing your paranoia. Better to grit your teeth and advocate higher deficits and higher real GDP growth.

That strategy would also be the only one advocated by MMT.

That is enough for today!

1. I do not understand number 3. But the math in number two is is simple. It was really interesting to learn that I was mislead about the importance of (or perhaps better stated the lack of importance of) factional reserve banking as well as the role of the USA in defeating the Nazis. Misleading college and university students in such a manner, especially those who do not major in macro economics, does not happen by accident. The people of the world who wish to be good citizens are faced not only with sorlting out loads of fake news they are besieged with fake knowledge that can go unchallenged for decades or even a life time.
Someone (plural) had to make a decision to do to present economics in such a deliberatly misleading manner. Such deliberate deciet must have a motive. Such deciet can perhaps not be used to prove anything legally. But is such organized deceptive behavior not an LEADING SOCIOLOGICAL INDICATOR of a organization with centralized command and control directing such miseducation?

2. Jerry Brown says:

Curt, I majored in Economics and was mislead about fractional reserve banking and the multiplier and many other aspects of an economic system such as we have today. Probably a lot more than people who did not study economics in school. I had to unlearn a lot of that nonsense in order to start understanding what MMT says about things. Luckily, I was always pretty much a Keynesian even as an undergrad so it wasn’t too much of a shock that I might have rejected it out of hand. And honestly, by the time I graduated, I was already sure most of the crap I had learned was just that anyways.

The thing of it is that actually quite a bit of more ‘mainstream’ economics would apply most of the time if the country was on a gold standard, or tried to peg its currency to another currency or commodity. But that situation just isn’t the reality anymore in most countries, even if it ever was.

3. n says:

Curt, I think a simplified explanation for number three would be:
_
The debt ratio is government-debt divided by GDP.
So-called “austerity” (cuts to government spending) is likely to lead to two things:
1. A fall in GDP.
2. A fiscal surplus (taxes are greater than spending) and thus a fall in government debt (assuming the government buys back its debt in an amount equal to the surplus).
_
So, what happens to the debt ratio (debt/GDP) when both debt and GDP fall? It depends on which one is falling faster. If debt falls proportionally faster than GDP, then the debt ratio shrinks. Although this is “unlikely” to happen (Bill’s word) it is possible, and this possibility means the answer to question three is “true”.

4. Paul Krueger says:

Question #1 gave me some pause. Could it not be the case that the government reduces its spending in absolute terms (while retaining the same 2% fiscal balance as stated by the premise of the question), which reduces national income? At the same time the foreign sector demand might end up being 4% of the now reduced GDP (i.e. without any actual increase in the balance in absolute terms) and the private sector might have decided to save more (perhaps because of the obvious GDP reduction) resulting in the new sector balances as posited, but with national income dropping rather than increasing. That would make the consequent statement in the question false because the national income had actually dropped rather than increased. The key for me was whether the premise statement about the government’s maintenance of the fiscal balance was intended to be a statement about absolute measures of spending or about the relative balance relative to the new (potentially lower) GDP.

This site uses Akismet to reduce spam. Learn how your comment data is processed.