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The Weekend Quiz – December 25-26, 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:

The automatic stabilisers increase fiscal deficits (or reduce surpluses) in times of slack aggregate demand. This sensitivity of the fiscal outcome to the business cycle would be eliminated if the government followed a fiscal rule that forced them to balance spending and taxation at all times.

The answer is False.

The final fiscal outcome is the difference between total federal revenue and total federal outlays. So if total revenue is greater than outlays, the fiscal balance 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 balance is in surplus it is often concluded that the fiscal impact of government is contractionary (withdrawing net spending) and if the balance 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 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 = (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 in a recession and contracting it in a boom.

So just because the fiscal balance 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.

The first point to always be clear about then is that the fiscal balance is not determined by the government. Its discretionary policy stance certainly is an influence but the final outcome will reflect non-government spending decisions. In other words, the concept of a fiscal rule – where the government can set a desired balance (in the case of the question – zero) and achieve that at all times is fraught.

It is likely that in attempting to achieve a balanced fiscal position the government will set its discretionary policy settings counter to the best interests of the economy – either too contractionary or too expansionary.

If there was a balanced fiscal rule and private spending fell dramatically then the automatic stabilisers would push the fiscal into the direction of deficit. The final outcome would depend on net exports and whether the private sector was saving overall or not. Assume, that net exports were in deficit (typical case) and private saving overall was positive. Then private spending declines.

In this case, the actual fiscal outcome would be a deficit equal to the sum of the other two balances.

Then in attempting to apply the fiscal rule, the discretionary component of the fiscal would have to contract. This contraction would further reduce aggregate demand and the automatic stabilisers (loss of tax revenue and increased welfare payments) would be working against the discretionary policy choice.

In that case, the application of the fiscal rule would be undermining production and employment and probably not succeeding in getting the fiscal into balance.

But every time a discretionary policy change was made the impact on aggregate demand and hence production would then trigger the automatic stabilisers via the income changes to work in the opposite direction to the discretionary policy shift.

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

Question 2:

If a nation is enjoying an external deficit, then one other sector must be spending more than it is earning.

The answer is True.

This is a question about the sectoral balances – the government fiscal balance, the external balance and the private domestic balance – that have to always add to zero because they are derived as an accounting identity from the national accounts. The balances reflect the underlying economic behaviour in each sector which is interdependent – given this is a macroeconomic system we are considering.

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.

The following table lets you see the evolution of the balances expressed in terms of percent of GDP. I have held the external deficit constant at 2 per cent of GDP (which is artificial because as economic activity changes imports also rise and fall).

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

Assume these cycle represents an average positions over the course of each distinct economic cycle.

In Cycle 1, there is an external deficit (2 per cent of GDP), a fiscal surplus of 1 per cent of GDP and the private sector is in deficit (S < I) to the tune of 3 per cent of GDP.

In Cycle 2, as the government fiscal balance enters balance (presumably the government increased spending or cut taxes or the automatic stabilisers were working), the private domestic deficit narrows and now equals the external deficit. This is the case that the question is referring to.

This provides another important ruleto understand – that if a nation records an average external deficit over the course of the economic cycle (peak to peak) and the government succeeds in balancing its fiscal position, then the private domestic sector will be in deficit equal to the external deficit.

That means, the private sector is increasingly building debt to fund its “excess expenditure”. That conclusion is inevitable and could never be a viable fiscal rule.

With an external deficit, it is impossible for both the government and the private domestic sector to reduce their overall debt levels by spending less than they earn.

In Cycles 3 and 4, the fiscal deficit rises from balance to 1 to 2 per cent of GDP and the private domestic balance moves towards surplus. Over Cycle 4, the private sector is, on average, spending as much as they earning.

Cycle 5 shows the benefits of fiscal deficits when there is an external deficit. The private sector now is able to generate surpluses overall (that is, save as a sector) as a result of the public deficit.

So what is the economics that underpin these different situations?

If the nation is running an external deficit it means that the contribution to aggregate demand from the external sector is negative – that is net drain of spending – dragging output down.

The external deficit also means that foreigners are increasing financial claims denominated in the local currency. Given that exports represent a real cost and imports a real benefit, the motivation for a nation running a net exports surplus (the exporting nation in this case) must be to accumulate financial claims (assets) denominated in the currency of the nation running the external deficit.

A fiscal surplus also means the government is spending less than it is “earning” and that puts a drag on aggregate demand and constrains the ability of the economy to grow.

In these circumstances, for income to be stable, the private domestic sector has to spend more than they earn.

You can see this by going back to the aggregate demand relations above. For those who like simple algebra we can manipulate the aggregate demand model to see this more clearly.

Y = GDP = C + I + G + (X – M)

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

So if the G is spending less than it is “earning” and the external sector is adding less income (X) than it is absorbing spending (M), then the other spending components must be greater than total income.

Only when the government fiscal deficit supports aggregate demand at income levels which permit the private sector to save out of that income will the latter achieve its desired outcome. At this point, income and employment growth are maximised and private debt levels will be stable.

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

Question 3:

It is clear that the central bank can use balance sheet management techniques to control yields on public debt at certain targetted maturities. However, this capacity to control the term structure of interest rates is diminished during periods of high inflation.

The answer is True.

I was going to use the term “economic impact” but decided against that because it might be misleading given that it would require a discussion of what an economic impact actually is. I consider an economic impact has to involve a discussion of the real economy rather than just the financial dimensions.

In that context you would then have had to consider two things: (a) the impact on private interest rates; and (b) whether interest rates matter for aggregate demand. And in a simple dichotomous choice (true/false) that becomes somewhat problematic.

I chose the alternative “impact on the term structure” because it didn’t require any consideration of the real economy but only the impact on private interest rates.

The “term structure” of interest rates, in general, refers to the relationship between fixed-income securities (public and private) of different maturities. Sometimes commentators will confine the concept to public bonds but that would be apparent from the context. Usually, the term structure takes into account public and private bonds/paper.

The yield curve is a graphical depiction of the term structure – so that the interest rates on bonds are graphed against their maturities (or terms).

The term structure of interest rates provides financial markets with a indication of likely movements in interest rates and expectations of the state of the economy.

If the term structure is normal such that short-term rates are lower than long-term rates fixed-income investors form the view that economic growth will be normal. Given this is associated with an expectation of some stable inflation over the medium- to longer-term, long maturity assets have higher yields to compensate for the risk.

Short-term assets are less prone to inflation risk because holders are repaid sooner.

When the term structure starts to flatten, fixed-income markets consider this to be a transition phase with short-term rates on the rise and long-term rates falling or stable. This usually occurs late in a growth cycle and accompanies the tightening of monetary policy as the central bank seeks to reduce inflationary expectations.

Finally, if a flat terms structure inverts, the short-rates are higher than the long-rates. This results after a period of central bank tightening which leads the financial markets to form the view that interest rates will decline in the future with longer-term yields being lower. When interest rates decrease, bond prices rise and yields fall.

The investment mentality is tricky in these situations because even though yields on long-term bonds are expected to fall investors will still purchase assets at those maturities because they anticipate a major slowdown (following the central bank tightening) and so want to get what yields they can in an environment of overall declining yields and sluggish economic growth.

So the term structure is conditioned in part by the inflationary expectations that are held in the private sector.

It is without doubt that the central bank can manipulate the yield curve at all maturities to determine yields on public bonds. If they want to guarantee a particular yield on say a 30-year government bond then all they have to do is stand ready to purchase (or sell) the volume that is required to stabilise the price of the bond consistent with that yield.

Remember bond prices and yields are inverse. A person who buys a fixed-income bond for $100 with a coupon (return) of 10 per cent will expect $10 per year while they hold the bond. If demand rises for this bond in secondary markets and pushes the price up to say $120, then the fixed coupon (10 per cent on $100 = $10) delivers a lower yield.

Now it is possible that a strategy to fix yields on public bonds at all maturities would require the central bank to own all the debt (or most of it). This would occur if the targeted yields were not consistent with the private market expectations about future values of the short-term interest rate.

If the private markets considered that the central bank would stark hiking rates then they would decline to buy at the fixed (controlled) yield because they would expect long-term bond prices to fall overall and yields to rise.

So given the current monetary policy emphasis on controlling inflation, in a period of high inflation, private markets would hold the view that the yields on fixed income assets would rise and so the central bank would have to purchase all the issue to hit its targeted yield.

In this case, while the central bank could via large-scale purchases control the yield on the particular asset, it is likely that the yield on that asset would become dislocated from the term structure (if they were only controlling one maturity) and private rates or private rates (if they were controlling all public bond yields).

So the private and public interest rate structure could become separated. While some would say this would mean that the central bank loses the ability to influence private spending via monetary policy changes, the reality is that the economic consequences of such a situation would be unclear and depend on other factors such as expectations of future movements in aggregate demand, to name one important influence.

Question 4: Special Xmas Holiday Question:

Santa is having trouble keeping his sled and related delivery infrastructure in working order. But he knows

(a) that he is a household and thus a user of the currency and will have to save, earn or borrow to generate the funds necessary to maintain his equipment.

(b) he has been told that the household budget is like a government fiscal balance and he understands the currency-issuing government has no financial constraints so he cannot work out why suppliers won’t just accept his cheques.

(c) The Bishop in Italy was right, there is no Santa kids.

The answer is Option (a).


Option (c) might have entertained your thoughts but as this blog encourages participation of young children we will leave it up to parents to admit to their children that they are training them in the art of lying from an early age.

Question 5: Special Xmas Holiday Question:

We know that Santa has rejected the anti-vaxxer message.

The answer is True.

Some forensic empirical work is needed here.

We assume that Santa is not stupid and we know from research that he is in a highly vulnerable age group (1,750 years old) with respect to Covid. Not being stupid, we also can conclude that he knows that the vaccines offer protection.

But more conclusively, we know the answer is True because without his vaccination certificate he would not have passed Australian border control.

And we know that Santa is honest so he would not have bought one of the forged certificates that anti-vaxxers have promoted to undermine public health measures.

That is enough for today!

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

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    This Post Has 3 Comments
    1. OK! Re: question one. I made a mess of this once before.
      For this I`m looking at actual country data.
      If the cyclically(not structural) adjusted overall fiscal balance(as a % of Trend real GDP.) is showing “A GREATER SURPLUS”, than the overall fiscal balance( % of GDP) and the fiscal impulse(% of trend real GDP) has become more negative, am I right in assuming that we are in a recession ; the automatic stabilizers are not having enough of an impact; the governments fiscal actions are pro cyclical(contractionary) and unless they move quickly, towards deficits( assuming a continuing current account deficit) we will be looking at continued total private sector hardship and a continuing recession…… or is this approach not valid?
      NOTE: The cyclical adjustment for automatic stabilizers uses only simple gov. revenue and expenditure elasticities.

    2. I wish I could help you out PhilipO. But I don’t understand your question. I thought Bill’s questions were difficult enough to figure out :)

      Got 3 minutes left on Christmas here so Merry Christmas to you and everyone else. Cant believe I got one of the Santa questions wrong.

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