The Weekend Quiz – November 10-11, 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:

Government spending which is not accompanied by a bond sale to the non-government sector immediately adds more to total spending than would be the case if there was a bond sale.

The answer is False.

The mainstream macroeconomic textbooks all have a chapter on fiscal policy (and it is often written in the context of the so-called IS-LM model but not always).

The chapters always introduces the so-called ‘Government Budget Constraint’ that alleges that governments have to ‘finance’ all spending either through taxation; debt-issuance; or money creation.

The narrative always fails to create an understanding among students that government spending is performed in the same way irrespective of the accompanying monetary operations.

That is, the government creates credits in bank accounts usually (but not always) via its central bank.

The standard mainstream claim is that money creation, which they construct as ‘borrowing from central bank’ or ‘money printing’ is inflationary while the latter (non-government bond sales) is less so.

These conclusions are based on their erroneous claim that ‘money creation’ adds more to aggregate demand than bond sales, because the latter forces up interest rates which crowd out some private spending.

All these claims are without foundation in a fiat monetary system and an understanding of the banking operations that occur when governments spend and issue debt helps to show why.

So what would happen if a sovereign, currency-issuing government (with a flexible exchange rate) ran a budget deficit without issuing debt?

Like all government spending, the Treasury instruct the central bank to credit the reserve accounts held by the commercial bank at the central bank.

The commercial bank in question would be where the target of the spending had an account.

The transactions are clear:

1. The commercial bank’s assets rise and its liabilities also increase because a new deposit has been made.

2. The target of the fiscal initiative enjoys increased assets (bank deposit) and net worth (a liability/equity entry on their balance sheet).

3. Taxation does the opposite and so a deficit (spending greater than taxation) means that reserves increase and non-government net worth increases.

4. This means that there are likely to be excess reserves in the ‘cash system’, which then raises issues for the central bank about its liquidity management. The aim of the central bank is to maintain a target interest rate and so it has to ensure that competitive forces in the interbank market do not compromise that target.

5. When there are excess reserves there is downward pressure on the overnight interest rate (as banks scurry to seek interest-earning opportunities), the central bank then has to sell government bonds to the banks to soak the excess up and maintain liquidity at a level consistent with the target.

Some central banks offer a return on overnight reserves which reduces the need to sell debt as a liquidity management operation.

There is no sense that these debt sales have anything to do with “financing” government net spending. The sales are a monetary operation aimed at interest-rate maintenance.

So M1 (deposits in the non-government sector) rise as a result of the deficit without a corresponding increase in liabilities. It is this result that leads to the conclusion that that deficits increase net financial assets in the non-government sector.

What would happen if there were bond sales? All that happens is that the banks reserves are reduced by the bond sales but this does not reduce the deposits created by the net spending. So net worth is not altered. What is changed is the composition of the asset portfolio held in the non-government sector.

The only difference between the Treasury “borrowing from the central bank” and issuing debt to the private sector is that the central bank has to use different operations to pursue its policy interest rate target.

If it debt is not issued to match the deficit then it has to either pay interest on excess reserves (which most central banks are doing now anyway) or let the target rate fall to zero (the Japan solution).

There is no difference to the impact of the deficits on net worth in the non-government sector.

Mainstream economists would say that by draining the reserves by selling bonds, the central bank has reduced the ability of banks to lend which then, via the money multiplier, shrinks the money supply.

However, the reality is that:

• Building bank reserves does not increase the ability of the banks to lend.
• The money multiplier process, a central plank of mainstream monetary theory, does not describe the way in which banks make loans.
• Inflation is caused by aggregate demand growing faster than real output capacity. The reserve position of the banks is not functionally related with that process.

Commercial banks are able to create as much credit as they can find credit-worthy customers to hold irrespective of the operations that accompany government net spending.

This doesn’t lead to the conclusion that deficits do not carry an inflation risk. All components of aggregate demand carry an inflation risk if they become excessive, which can only be defined in terms of the relation between spending and productive capacity.

It is totally fallacious to think that private placement of debt reduces the inflation risk. It does not.

You may wish to read the following blogs for more information:

• Why history matters
• Building bank reserves will not expand credit
• Building bank reserves is not inflationary
• The complacent students sit and listen to some of that

Question 2:

If the external balance is always in surplus, then the government can safely run a surplus and not impede economic growth.

The answer is False.

This is a question about the sectoral balances.

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.

Thus, when an external deficit (X – M < 0) and public surplus (G – T < 0) coincide, there must be a private domestic deficit.

While private spending can persist for a time under these conditions using the net savings of the external sector, the private sector becomes increasingly indebted in the process.

Second, you then have to appreciate the relative sizes of these balances to answer the question correctly.

Consider the following Table which depicts three cases – two that define a state of macroeconomic equilibrium (where aggregate demand equals income and firms have no incentive to change output) and one (Case 2) where the economy is in a disequilibrium state and income changes would occur.

Note that in the equilibrium cases, the (S – I) = (G – T) + (X – M) whereas in the disequilibrium case (S – I) > (G – T) + (X – M) meaning that aggregate demand is falling and a spending gap is opening up.

Firms respond to that gap by decreasing output and income and this brings about an adjustment in the balances until they are back in equality.

So in Case 1, assume that the private domestic sector desires to save 2 per cent of GDP overall (spend less than they earn) and the external sector is running a surplus equal to 4 per cent of GDP.

In that case, aggregate demand will be unchanged if the government runs a surplus of 2 per cent of GDP (noting a negative sign on the government balance means T > G).

In this situation, the fiscal surplus does not undermine economic growth because the injections into the spending stream (NX) are exactly offset by the leakages in the form of the overall private domestic saving and the fiscal surplus. This is the Norwegian situation.

In Case 2, we hypothesise that the private domestic sector now wants to save 6 per cent of GDP overall and they translate this intention into action by cutting back consumption (and perhaps investment) spending.

Clearly, aggregate spending now falls by 4 per cent of GDP and if the government tried to maintain that fiscal surplus of 2 per cent of GDP, the spending gap would start driving GDP downwards.

The falling income would not only reduce the capacity of the private domestic sector to save overall but would also push the fiscal balance towards deficit via the automatic stabilisers.

It would also push the external surplus up as imports fell. Eventually the income adjustments would restore the balances but with lower GDP overall.

So Case 2 is a not a position of rest – or steady growth. It is one where the government sector (for a given net exports position) is undermining the changing intentions of the private sector to increase their overall saving.

In Case 3, you see the result of the government sector accommodating that rising desire to save by the private domestic sector by running a fiscal deficit of 2 per cent of GDP.

So the injections into the spending stream are 4 per cent from NX and 2 per cent from the deficit which exactly offset the desire of the private domestic sector to save 6 per cent of GDP. At that point, the system would be in rest.

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 outweighs the injections into the spending stream then GDP falls (or growth is reduced).

So even though an external surplus is being run, the desired fiscal balance still depends on the saving desires of the private domestic sector.

Under some situations, these desires could require a deficit even with an external surplus.

You may wish to read the following blogs for more information:

• Stock-flow consistent macro models
• Norway and sectoral balances

Question 4:

Assume the government increases spending by $100 billion in the each of the next three years from now. Economists estimate the expenditure multiplier to be 1.5 and the impact is immediate and exhausted in each year. They also estimate the tax multiplier to be equal to 1 and the current tax rate is equal to 30 per cent (30 cents in the $). What is the cumulative impact of this fiscal expansion on GDP after three years?

(a) $135 billion
(b) $150 billion
(c) $315 billion
(d) $450 billion

The answer is $450 billion.

In Year 1, government spending rises by $100 billion, which leads to a total increase in GDP of $150 billion via the spending multiplier.

The multiplier process is explained in the following way. Government spending, say, on some equipment or construction, leads to firms in those areas responding by increasing real output.

In doing so they pay out extra wages and other payments which then provide the workers (consumers) with extra disposable income (once taxes are paid).

Higher consumption is thus induced by the initial injection of government spending. Some of the higher income is saved and some is lost to the local economy via import spending.

So when the workers spend their higher wages (which for some might be the difference between no wage as an unemployed person and a positive wage), broadly throughout the economy, this stimulates further induced spending and so on, with each successive round of spending being smaller than the last because of the leakages to taxation, saving and imports.

Eventually, the process exhausts and the total rise in GDP is the “multiplied” effect of the initial government injection. In this question we adopt the simplifying (and unrealistic) assumption that all induced effects are exhausted within the same year.

In reality, multiplier effects of a given injection usually are estimated to go beyond 4 quarters.

So this process goes on for 3 years so the $300 billion cumulative injection leads to a cumulative increase in GDP of $450 billion.

It is true that total tax revenue rises by $135 billion but this is just an automatic stabiliser effect. There was no change in the tax structure (that is, tax rates) posited in the question.

That means that the tax multiplier, whatever value it might have been, is irrelevant to this example.

Some might have decided to subtract the $135 billion from the $450 billion to get answer (c) on the presumption that there was a tax effect. But the automatic stabiliser effect of the tax system is already built into the expenditure multiplier.

Some might have just computed $135 billion and said (a). Clearly, not correct.

Some might have thought it was a total injection of $100 billion and multiplied that by 1.5 to get answer (b). Clearly, not correct.

You may wish to read the following blogs for more information:

• Spending multipliers
• Pushing the fantasy barrow

That is enough for today!

(c) Copyright 2018 William Mitchell. All Rights Reserved.