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# The Weekend Quiz – July 24-25, 2021 – 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:

If the external sector is in deficit overall and GDP growth rate is faster than the real interest rate, then:

(a) Both the private domestic sector and the government sector overall can pay down their respective debt liabilities.

(b) Either the private domestic sector or the government sector overall can pay down their debt liabilities.

(c) Neither the private domestic sector or the government sector overall can pay down their debt liabilities.

The answer is (b) Either the private domestic sector or the government sector overall can pay down their debt liabilities..

Once again it is a test of one’s basic understanding of the sectoral balances that can be derived from the National Accounts. Some people write to me in an incredulous way about the balances.

The answer is Option (b) because if the external sector overall is in deficit, then it is impossible for both the private domestic sector and government sector to run surpluses. One of those two has to also be in deficit to satisfy the accounting rules.

It also follows that it doesn’t matter how fast GDP is growing, if a sector is in deficit then it cannot be paying down its nominal debt.

To refresh your memory the sectoral 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:

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 taxes and 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 taxes and transfers (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 (CAB). 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.

Consider the following graph and associated table of data which shows six states. All states have a constant external deficit equal to 2 per cent of GDP (light-blue columns).

 Sectoral Balance Interpretation of Result State 1 State 2 State 3 State 4 State 5 State 6 External Balance (X – M) Deficit is negative -2 -2 -2 -2 -2 -2 Fiscal Balance (G – T) Deficit is positive -2 -1 0 1 2 3 Private Domestic Balance (S – I) Deficit is negative 4 3 2 1 0 -1

State 1 show a government running a surplus equal to 2 per cent of GDP (green columns). As a consequence, the private domestic balance is in deficit of 4 per cent of GDP (royal-blue columns).

This cannot be a sustainable growth strategy because eventually the private sector will collapse under the weight of its indebtedness and start to save.

At that point the fiscal drag from the budget surpluses will reinforce the spending decline and the economy would go into recession.

State 2 shows that when the fiscal surplus moderates to 1 per cent of GDP the private domestic deficit is reduced.

State 3 is a fiscal balance and then the private domestic deficit is exactly equal to the external deficit.

So the private sector spending more than they earn exactly funds the desire of the external sector to accumulate financial assets in the currency of issue in this country.

States 4 to 6 shows what happens when the government goes into deficit – the private domestic sector (given the external deficit) can then start reducing its deficit and by State 5 it is in balance.

Then by State 6 the private domestic sector is able to net save overall (that is, spend less than its income).

Note also that the government balance equals exactly \$-for-\$ (as a per cent of GDP) the non-government balance (the sum of the private domestic and external balances).

This is also a basic rule derived from the national accounts.

Most countries currently run external deficits. The crisis was marked by households reducing consumption spending growth to try to manage their debt exposure and private investment retreating.

The consequence was a major spending gap which pushed fiscal positions into deficits via the automatic stabilisers.

The only way to get income growth going in this context and to allow the private sector surpluses to build was to increase the deficits beyond the impact of the automatic stabilisers.

The reality is that this policy change hasn’t delivered large enough fiscal deficits (even with external deficits narrowing).

The result has been large negative income adjustments which brought the sectoral balances into equality at significantly lower levels of economic activity.

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

Question 2:

The debt of a government which issues its own currency and floats it in international markets is not really a liability because the government can just continuously roll it over without ever having to pay it back. This is different to a household, the user of the currency, which not only has to service its debt but also has to repay them at the due date.

The answer is False.

First, households do have to service their debts and repay them at some due date or risk default. The other crucial point is that households also have to forego some current consumption, use up savings or run down assets to service their debts and ultimately repay them.

Second, a sovereign government also has to service their debts and repay them at some due date or risk default.

No difference there.

But, unlike a household it does not have to forego any current spending capacity (or privatise public assets) to accomplish these financial transactions.

But the public debt is a legal obligation on government and so is a liability.

Now can it just roll-it over continuously?

Well the question was subtle because the government can always keep issuing new debt when the old issues mature and maintain a stable (or whatever).

But as the previous debt-issued matures it is paid out as per the terms of the issue.

So that nuance was designed to elicit specific thinking.

The other point is that the liability on a sovereign government is legally like all liabilities – enforceable in courts the risk associated with taking that liability on is zero which is very different to the risks attached to taking on private debt.

There is zero risk that a holder of a public bond instrument will not be paid principle and interest on time.

The other point to appreciate is that the original holder of the public debt might not be the final holder who is paid out.

The market for public debt is the most liquid of all debt markets and trading in public debt instruments of all nations is conducted across all markets each hour of every day.

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

Question 3:

The fact that large scale quantitative easing programs conducted by central banks has not caused inflation, provides a strong refutation of the mainstream Quantity Theory of Money, which claims that growth in the stock of money will be inflationary.

The answer is False.

The question requires you to: (a) understand the Quantity Theory of Money; and (b) understand the impact of quantitative easing in relation to Quantity Theory of Money.

The short reason the answer is false is that quantitative easing has not increased the aggregates that drive the alleged causality in the Quantity Theory of Money – that is, the various estimates of the “money supply”.

The Quantity Theory of Money which in symbols is MV = PQ but means that the money stock times the turnover per period (V) is equal to the price level (P) times real output (Q). The mainstream assume that V is fixed (despite empirically it moving all over the place) and Q is always at full employment as a result of market adjustments.

Yes, in applying this theory they deny the existence of unemployment.

The more reasonable mainstream economists (who probably have kids who cannot get a job at present) admit that short-run deviations in the predictions of the Quantity Theory of Money can occur but in the long-run all the frictions causing unemployment will disappear and the theory will apply.

In general, the Monetarists (the most recent group to revive the Quantity Theory of Money) claim that with V and Q fixed, then changes in M cause changes in P – which is the basic Monetarist claim that expanding the money supply is inflationary.

They say that excess monetary growth creates a situation where too much money is chasing too few goods and the only adjustment that is possible is nominal (that is, inflation).

One of the contributions of Keynes was to show the Quantity Theory of Money could not be correct. He observed price level changes independent of monetary supply movements (and vice versa) which changed his own perception of the way the monetary system operated.

Further, with high rates of capacity and labour underutilisation at various times (including now) one can hardly seriously maintain the view that Q is fixed.

There is always scope for real adjustments (that is, increasing output) to match nominal growth in aggregate demand. So if increased credit became available and borrowers used the deposits that were created by the loans to purchase goods and services, it is likely that firms with excess capacity will re

The mainstream have related the current non-standard monetary policy efforts – the so-called quantitative easing – to the Quantity Theory of Money and predicted hyperinflation will arise.

So it is the modern belief in the Quantity Theory of Money is behind the hysteria about the level of bank reserves at present – it has to be inflationary they say because there is all this money lying around and it will flood the economy.

Textbook like that of Mankiw mislead their students into thinking that there is a direct relationship between the monetary base and the money supply.

They claim that the central bank “controls the money supply by buying and selling government bonds in open-market operations” and that the private banks then create multiples of the base via credit-creation.

Students are familiar with the pages of textbook space wasted on explaining the erroneous concept of the money multiplier where a banks are alleged to “loan out some of its reserves and create money”.

As I have indicated several times the depiction of the fractional reserve-money multiplier process in textbooks like Mankiw exemplifies the mainstream misunderstanding of banking operations.

Please read my blog post – Money multiplier and other myths – for more discussion on this point.

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 even though it appears in all mainstream macroeconomics textbooks and is relentlessly rammed down the throats of unsuspecting economic students.

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 central bank does not have the capacity to control the money supply.

We have regularly traversed this point. 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.

So when we talk about quantitative easing, we must first understand that it requires the short-term interest rate to be at zero or close to it.

Otherwise, the central bank would not be able to maintain control of a positive interest rate target because the excess reserves would invoke a competitive process in the interbank market which would effectively drive the interest rate down.

Quantitative easing then involves the central bank buying assets from the private sector – government bonds and high quality corporate debt.

So what the central bank is doing is swapping financial assets with the banks – they sell their financial assets and receive back in return extra reserves.

So the central bank is buying one type of financial asset (private holdings of bonds, company paper) and exchanging it for another (reserve balances at the central bank).

The net financial assets in the private sector are in fact unchanged although the portfolio composition of those assets is altered (maturity substitution) which changes yields and returns.

In terms of changing portfolio compositions, quantitative easing increases central bank demand for “long maturity” assets held in the private sector which reduces interest rates at the longer end of the yield curve.

These are traditionally thought of as the investment rates.

This might increase aggregate demand given the cost of investment funds is likely to drop. But on the other hand, the lower rates reduce the interest-income of savers who will reduce consumption (demand) accordingly.

How these opposing effects balance out is unclear but the evidence suggests there is not very much impact at all.

For the monetary aggregates (outside of base money) to increase, the banks would then have to increase their lending and create deposits.

This is at the heart of the mainstream belief is that quantitative easing will stimulate the economy sufficiently to put a brake on the downward spiral of lost production and the increasing unemployment.

The recent experience (and that of Japan in 2001) showed that quantitative easing does not succeed in doing this.

Should we be surprised. Definitely not.

The mainstream view is based on the erroneous belief that the banks need reserves before they can lend and that quantitative easing provides those reserves. That is a major misrepresentation of the way the banking system actually operates. But the mainstream position asserts (wrongly) that banks only lend if they have prior reserves.

The illusion is that a bank is an institution that accepts deposits to build up reserves and then on-lends them at a margin to make money.

The conceptualisation suggests that if it doesn’t have adequate reserves then it cannot lend. So the presupposition is that by adding to bank reserves, quantitative easing will help lending.

But banks do not operate like this.

Bank lending is not “reserve constrained”. Banks lend to any credit worthy customer they can find and then worry about their reserve positions afterwards.

If they are short of reserves (their reserve accounts have to be in positive balance each day and in some countries central banks require certain ratios to be maintained) then they borrow from each other in the interbank market or, ultimately, they will borrow from the central bank through the so-called discount window.

They are reluctant to use the latter facility because it carries a penalty (higher interest cost).

The point is that building bank reserves will not increase the bank’s capacity to lend.

Loans create deposits which generate reserves.

Those that claim that quantitative easing will expose the economy to uncontrollable inflation are just harking back to the old and flawed Quantity Theory of Money.

This theory has no application in a modern monetary economy and proponents of it have to explain why economies with huge excess capacity to produce (idle capital and high proportions of unused labour) cannot expand production when the orders for goods and services increase.

Should quantitative easing actually stimulate spending then the depressed economies will likely respond by increasing output not prices.

The fact that is hasn’t is not surprising if you understand how the monetary system operates but it has certainly bedazzled the (easily dazzled) mainstream economists.

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

That is enough for today!

(c) Copyright 2021 William Mitchell. All Rights Reserved.

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