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The Weekend Quiz – May 30-31, 2020 – 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:

When an economy is running a current account deficit, national income movements will ensure that only one of the two remaining sectors (government and private domestic) end up spending less than they receive, irrespective of the GDP growth rate.

The answer is True.

Once again it is a test of one’s basic understanding of the sectoral balances that can be derived from the National Accounts.

When the external sector is in deficit, then it is impossible for both the private domestic sector and government sector to run surpluses.

At least one of those two has to also be in deficit to satisfy the accounting rules. National income movements will always deliver that outcome and the balances that each sector records will be determined by a combination of their own spending decisions and the spillovers from the other sectors that impact on their respective incomes.

It also follows that it doesn’t matter how fast GDP is growing.

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 (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.

Consider the following Table of data which shows six states. All states have a constant external deficit equal to 2 per cent of GDP.

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

Case 1 show a government running a surplus equal to 2 per cent of GDP. As a consequence, the private domestic balance is in deficit of 4 per cent of GDP.

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

Case 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.

Cases 4 to 6 shows what happens when the fiscal position goes into deficit – the private domestic sector (given the external deficit) can then start reducing its deficit and by Case 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 governments 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:

Unlike a household which not only has to service its debt obligations over the course of the loan but also has to repay them at the due date, a national government debt, which issues its own currency can always roll over its “own currency” debt obligations and never has to pay them back.

The answer is False.

As a matter of clarification, note we are discussing debt issued in the currency of issue and not debt denominated in foreign currencies.

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. There is no difference there. The crucial difference is that 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 that has to be managed.

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

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 financial 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.

While I am most familiar with the Australian institutional structure, the following developments are not dissimilar to the way bond issuance (in primary markets) is organised elsewhere. You can access information about this from the Australian Office of Financial Management, which is a Treasury-related public body that manages all public debt issuance in Australia.

It conducts the primary market, which is the institutional machinery via which the government sells debt to the non-government sector. In a modern monetary system with flexible exchange rates it is clear the government does not have to finance its spending so the fact that governments hang on to primary market issuance is largely ideological – fear of fiscal excesses rather than an intrinsic need.

In this blog post – Will we really pay higher interest rates? – I go into this period more fully and show that it was driven by the ideological calls for “fiscal discipline” and the growing influence of the credit rating agencies.

Accordingly, all net spending had to be fully placed in the private market $-for-$. A purely voluntary constraint on the government and a waste of time.

A secondary market is where existing financial assets are traded by interested parties. So the financial assets enter the monetary system via the primary market and are then available for trading in the secondary. The same structure applies to private share issues for example. The company raises funds via the primary issuance process then its shares are traded in secondary markets.

Clearly secondary market trading has no impact at all on the volume of financial assets in the system – it just shuffles the wealth between wealth-holders. In the context of public debt issuance – the transactions in the primary market are vertical (net financial assets are created or destroyed) and the secondary market transactions are all horizontal (no new financial assets are created).

Please read my blog post – Deficit spending 101 – Part 3 – for more information.

Primary issues are conducted via auction tender systems and the Treasury determines the timing of these events in addition to the type and volumne of debt to be issued.

The issue is then be put out for tender and the market determines the final price of the bonds issued. Imagine a $A1000 bond is offered at a coupon of 5 per cent, meaning that you would get $A50 dollar per annum until the bond matured at which time you would get $A1000 back.

Imagine that the market wanted a yield of 6 per cent to accommodate risk expectations (see below). So for them the bond is unattractive unless the price is lower than $A1000. So tender system they would put in a purchase bid lower than the $A1000 to ensure they get the 6 per cent return they sought.

The general rule for fixed-income bonds is that when the prices rise, the yield falls and vice versa. Thus, the price of a bond can change in the market place according to interest rate fluctuations.

When interest rates rise, the price of previously issued bonds fall because they are less attractive in comparison to the newly issued bonds, which are offering a higher coupon rates (reflecting current interest rates).

When interest rates fall, the price of older bonds increase, becoming more attractive as newly issued bonds offer a lower coupon rate than the older higher coupon rated bonds.

So for new bond issues the AOFM receives the tenders from the bond market traders. These will be ranked in terms of price (and implied yields desired) and a quantity requested in $ millions. The AOFM (which is really just part of treasury) sometimes sells some bonds to the central bank (RBA) for their open market operations (at the weighted average yield of the final tender).

The AOFM will then issue the bonds in highest price bid order until it raises the revenue it seeks. So the first bidder with the highest price (lowest yield) gets what they want (as long as it doesn’t exhaust the whole tender, which is not likely). Then the second bidder (higher yield) and so on.

In this way, if demand for the tender is low, the final yields will be higher and vice versa. There are a lot of myths peddled in the financial press about this. Rising yields may indicate a rising sense of risk (mostly from future inflation although sovereign credit ratings will influence this). But they may also indicated a recovering economy where people are more confidence investing in commercial paper (for higher returns) and so they demand less of the “risk free” government paper.

So while there is no credit risk attached to holding public debt (that is, the holder knows they will receive the principle and interest that is specified on the issued debt instrument), there is still market risk which is related to movements in interest rates.

For government accounting purposes however the trading of the bonds once issued is of no consequence. They still retain the liability to pay the fixed coupon rate and the face value of the bond at the time of issue (not the market price).

The person/institution that sells the bond before maturity may gain or lose relative to their original purchase price but that is totally outside of the concern of the government.

Its liability is to pay the specified coupon rate at the time of issue and then the whole face value at the time of maturity.

There are complications to the primary sale process – some bonds sell at discounts which imply the coupon value. Further, there are arrangements between treasuries and central banks about the way in which public debt holdings are managed and accounted for. But these nuances do not alter the initial contention – public debt is a liability of the government in just the same way as private debt is a liability for those holders.

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

Question 3:

Standing facilities (credit lines etc) that central banks maintain means that the monetary base always adjusts to the changes in the money supply.

The answer is True.

This question challenges the notion of the money multiplier which is a central concept in mainstream macroeconomics textbooks.

They posit that the multiplier m transmits changes in the so-called monetary base (MB) (the sum of bank reserves and currency at issue) into changes in the money supply (M).

Students rehearse several times in their undergraduate courses (introductory and intermediate macroeconomics; money and banking; monetary economics etc) the mantra that the money multiplier is usually expressed as the inverse of the required reserve ratio plus some other novelties relating to preferences for cash versus deposits by the public.

Accordingly, the students learn that if the central bank told private banks that they had to keep 10 per cent of total deposits as reserves then the required reserve ratio (RRR) would be 0.10 and m would equal 1/0.10 = 10. More complicated formulae are derived when you consider that people also will want to hold some of their deposits as cash. But these complications do not add anything to the story.

The formula for the determination of the money supply is: M = m x MB. So if a $1 is newly deposited in a bank, the money supply will rise (be multiplied) by $10 (if the RRR = 0.10). The way this multiplier is alleged to work is explained as follows (assuming the bank is required to hold 10 per cent of all deposits as reserves):

  • A person deposits say $100 in a bank.
  • To make money, the bank then loans the remaining $90 to a customer.
  • They spend the money and the recipient of the funds deposits it with their bank.
  • That bank then lends 0.9 times $90 = $81 (keeping 0.10 in reserve as required).
  • And so on until the loans become so small that they dissolve to zero

None of this captures the way banks make loans. It is an important device for the mainstream because it implies that banks take deposits to get funds which they can then on-lend. But prudential regulations require they keep a little in reserve. So we get this credit creation process ballooning out due to the fractional reserve requirements.

The money multiplier myth also 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”. This leads to claims that if the government runs a fiscal deficit then it has to issue bonds to avoid causing hyperinflation. Nothing could be further from the truth.

That is nothing like the way the banking system operates in the real world. 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.

First, the central bank does not have the capacity to control the money supply in a modern monetary system. 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.

Second, this suggests that the decisions by banks to lend may be influenced by the price of reserves rather than whether they have sufficient reserves. They can always get the reserves that are required at any point in time at a price, which may be prohibitive.

Third, the money multiplier story has the central bank manipulating the money supply via open market operations. So they would argue that the central bank might buy bonds to the public to increase the money base and then allow the fractional reserve system to expand the money supply. But a moment’s thought will lead you to conclude this would be futile unless (as in Question 3 a support rate on excess reserves equal to the current policy rate was being paid).

Why? The open market purchase would increase bank reserves and the commercial banks, in lieu of any market return on the overnight funds, would try to place them in the interbank market. Of-course, any transactions at this level (they are horizontal) net to zero so all that happens is that the excess reserve position of the system is shuffled between banks. But in the process the interbank return would start to fall and if the process was left to resolve, the overnight rate would fall to zero and the central bank would lose control of its monetary policy position (unless it was targetting a zero interest rate).

In lieu of a support rate equal to the target rate, the central bank would have to sell bonds to drain the excess reserves. The same futility would occur if the central bank attempted to reduce the money supply by instigating an open market sale of bonds.

In all cases, the central bank cannot influence the money supply in this way.

Fourth, given that the central bank adds reserves on demand to maintain financial stability and this process is driven by changes in the money supply as banks make loans which create deposits.

So the operational reality is that the dynamics of the monetary base (MB) are driven by the changes in the money supply which is exactly the reverse of the causality presented by the monetary multiplier.

So in fact we might write MB = M/m.

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

That is enough for today!

(c) Copyright 2020 William Mitchell. All Rights Reserved.

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    This Post Has 3 Comments
    1. Question 3:
      Standing facilities (credit lines etc) that central banks maintain means that the monetary base always adjusts to the changes in the money supply.

      Maybe it always adjusts to some extent but does it adjust anywhere near the optimal extent if say you had a Paul Volker running your central bank doing what he could to limit supply of base money?

    2. Way off topic but the racial injustice in my country has resulted in all kinds of protests that range from reasonable to very unreasonable, even if understandable. Terrible time for this any case from a purely health perspective. News reports that US Army units may be mobilized for domestic use which is very unusual and downright scary. Damn policeman in Minneapolis lit this fuse off by killing a man already in handcuffs. That injustice has resulted in a lot of anger- entirely justifiable but much of it poorly directed. I don’t know what happens from here. But it probably isn’t good for the economics either.

    3. “… the fact that governments hang on to primary market issuance is largely ideological – fear of fiscal excesses rather than an intrinsic need.” My impression is that there are quite a few points in MMT where we have a distinction between intrinsic need and ideological veiling. Collecting all these points would make an interesting and useful blog post sometime.

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