The Weekend Quiz – April 23-24, 2022 – 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 there is an external deficit, the private sector can reduce its overall indebtedness as long as the government supports saving by running a deficit.

The answer is False.

This question relies on your understanding of the sectoral balances that are derived from the national accounts and must hold by definition. The statement of sectoral balances doesn’t tell us anything about how the economy might get into the situation depicted. Whatever behavioural forces were at play, the sectoral balances all have to sum to zero. Once you understand that, then deduction leads to the correct answer.

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.

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.

To help us answer the specific question posed, we can identify three states all involving public and external deficits:

• Case A: fiscal deficit (G – T) < Current Account balance (X – M) deficit.
• Case B: fiscal deficit (G – T) = Current Account balance (X – M) deficit.
• Case C: fiscal deficit (G – T) > Current Account balance (X – M) deficit.

For the private sector reduce it overall indebtedness (that is a net result) it must spend less than it earns – that is, run a surplus. So we understand the question to be examining the conditions under which the private domestic sector can run a surplus when the external sector is in deficit.

The following Table shows three cases expressing the sectoral balances as percentages of GDP in each case there is an external deficit. So the constant external deficit then allows you to understand the relationship between the other two balances – government and private domestic.

In Cases A and B, the private balance is in deficit or balanced which means that no net debt repayments could occur even though the government sector is in deficit.

In Case C, we see that the deficit has risen to 3 per cent of GDP and larger than the external deficit as a percent of GDP (2 per cent). At that point, the private sector balance goes into surplus which facilitates reductions in debt levels overall.

So the coexistence of a fiscal deficit (adding to aggregate demand) and an external deficit (draining aggregate demand) does not necessarily lead to the private domestic sector being in surplus.

It is only when the fiscal deficit is large enough (3 per cent of GDP) and able to offset the demand-draining external deficit (2 per cent of GDP) that the private domestic sector can save overall (Case C).

The economics lying behind the accounting statements (which are true by definition) is that the fiscal deficits underpin spending and allow income growth to be sufficient to generate savings greater than investment in the private domestic sector.

But they can only do that as long as they can offset the demand-draining impacts of the external deficits and thus provide sufficient income growth for the private domestic sector to save.

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

• Stock-flow consistent macro models
• Norway and sectoral balances
• The OECD is at it again!
• Saturday Quiz – May 22, 2010 – answers and discussion

Question 2:

When a sovereign government issues debt it has no immediate impact on the overall holdings of financial assets held by the non-government sector.

The answer is True.

The fundamental principles that arise in a fiat monetary system are as follows.

• The central bank sets the short-term interest rate based on its policy aspirations.
• Government spending is independent of borrowing and the latter best thought of as coming after spending.
• Government spending provides the net financial assets (bank reserves) which ultimately represent the funds used by the non-government agents to purchase the debt.
• fiscal deficits that are not accompanied by corresponding monetary operations (debt-issuance) put downward pressure on interest rates contrary to the myths that appear in macroeconomic textbooks about ‘crowding out’.
• The “penalty for not borrowing” is that the interest rate will fall to the bottom of the “corridor” prevailing in the country which may be zero if the central bank does not offer a return on reserves.
• Government debt-issuance is a “monetary policy” operation rather than being intrinsic to fiscal policy, although in a modern monetary paradigm the distinctions between monetary and fiscal policy as traditionally defined are moot.

National governments have cash operating accounts with their central bank. The specific arrangements vary by country but the principle remains the same.

When the government spends it debits these accounts and credits various bank accounts within the commercial banking system.

Deposits thus show up in a number of commercial banks as a reflection of the spending.

It may issue a cheque and post it to someone in the private sector whereupon that person will deposit the cheque at their bank.

It is the same effect as if it had have all been done electronically.

All federal spending happens like this. You will note that:

• Governments do not spend by “printing money”. They spend by creating deposits in the private banking system. Clearly, some currency is in circulation which is “printed” but that is a separate process from the daily spending and taxing flows.
• There has been no mention of where they get the credits and debits come from! The short answer is that the spending comes from no-where but we will have to wait for another blog soon to fully understand that. Suffice to say that the Federal government, as the monopoly issuer of its own currency is not revenue-constrained. This means it does not have to “finance” its spending unlike a household, which uses the fiat currency.
• Any coincident issuing of government debt (bonds) has nothing to do with “financing” the government spending.

All the commercial banks maintain reserve accounts with the central bank within their system. These accounts permit reserves to be managed and allows the clearing system to operate smoothly.

The rules that operate on these accounts in different countries vary (that is, some nations have minimum reserves others do not etc).

For financial stability, these reserve accounts always have to have positive balances at the end of each day, although during the day a particular bank might be in surplus or deficit, depending on the pattern of the cash inflows and outflows.

There is no reason to assume that these flows will exactly offset themselves for any particular bank at any particular time.

The central bank conducts “operations” to manage the liquidity in the banking system such that short-term interest rates match the official target – which defines the current monetary policy stance.

The central bank may: (a) Intervene into the interbank (overnight) money market to manage the daily supply of and demand for reserve funds; (b) buy certain financial assets at discounted rates from commercial banks; and (c) impose penal lending rates on banks who require urgent funds.

In practice, most of the liquidity management is achieved through (a).

That being said, central bank operations function to offset operating factors in the system by altering the composition of reserves, cash, and securities, and do not alter net financial assets of the non-government sectors.

Fiscal policy impacts on bank reserves – government spending (G) adds to reserves and taxes (T) drains them.

So on any particular day, if G > T (a fiscal deficit) then reserves are rising overall.

Any particular bank might be short of reserves but overall the sum of the bank reserves are in excess.

It is in the commercial banks interests to try to eliminate any unneeded reserves each night given they usually earn a non-competitive return. Surplus banks will try to loan their excess reserves on the Interbank market.

Some deficit banks will clearly be interested in these loans to shore up their position and avoid going to the discount window that the central bank offeres and which is more expensive.

The upshot, however, is that the competition between the surplus banks to shed their excess reserves drives the short-term interest rate down.

These transactions net to zero (a equal liability and asset are created each time) and so non-government banking system cannot by itself (conducting horizontal transactions between commercial banks – that is, borrowing and lending on the interbank market) eliminate a system-wide excess of reserves that the fiscal deficit created.

What is needed is a vertical transaction – that is, an interaction between the government and non-government sector.

So bond sales can drain reserves by offering the banks an attractive interest-bearing security (government debt) which it can purchase to eliminate its excess reserves.

However, the vertical transaction just offers portfolio choice for the non-government sector rather than changing the holding of financial assets.

So debt-issuance does not increase the assets that are held by the non-government sector $-for-$” nor does it reduce the capacity of the private sector to borrow from banks because they use their deposits to buy the bonds (crowding out).

The latter crowding out myth is based on the erroneous belief that the banks need deposits and reserves before they can lend.

Mainstream macroeconomics wrongly asserts 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 this is an incorrect depiction of how banks operate.

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.

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

• Quantitative easing 101
• Building bank reserves will not expand credit
• Building bank reserves is not inflationary
• Money multiplier and other myths
• Will we really pay higher interest rates?
• A modern monetary theory lullaby

Question 3:

When 10-year government bond yields rise you now that bond markets are demanding increased risk coverage for these assets.

The answer is False.

While it might be possible that bond markets are demanding an increased risk coverage on 10-year bonds one cannot conclude that from merely examining the movements in bond yields.

That is because yields fluctuate for several reasons.

The only thing that one can reliably conclude (which isn’t saying much at all) is that yields are rising because bond prices are falling in response to lower demand.

In macroeconomics, we summarise the plethora of public debt instruments with the concept of a bond.

The standard bond has a face value – say $A1000 and a coupon rate – say 5 per cent and a maturity – say 10 years.

This means that the bond holder will will get $50 dollar per annum (interest) for 10 years and when the maturity is reached they would get $1000 back.

Bonds are issued by government into the primary market, which is simply the institutional machinery via which the government sells debt to “raise funds”.

In a modern monetary system with flexible exchange rates it is clear the government does not have to finance its spending so the the institutional machinery is voluntary and reflects the prevailing neo-liberal ideology – which emphasises a fear of fiscal excesses rather than any intrinsic need.

Once bonds are issued they are traded in the secondary market between interested parties.

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).

I discussed these issues in the introductory suite of blog posts:

1. Deficit spending 101 – Part 1 (February 21, 2009).

2. Deficit spending 101 – Part 2 (February 23, 2009)

3. Deficit spending 101 – Part 3 (March 2, 2009).

Further, most primary market issuance is now done via auction.

Accordingly, the government would determine the maturity of the bond (how long the bond would exist for), the coupon rate (the interest return on the bond) and the volume (how many bonds) being specified.

The issue would then be put out for tender and the market then would determine the final price of the bonds issued.

Imagine a $A1000 bond had 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 (inflation or something else).

So for them the bond is unattractive and they would avoid it under the tap system.

But under the tender or auction system they would put in a purchase bid lower than the $A1000 to ensure they get the 6 per cent return they sought.

The mathematical formulae to compute the desired (lower) price is quite tricky and you can look it up in a finance book.

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.

Further, 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 you see how an event (yield rises) that signifies growing confidence in the real economy is reinterpreted (and trumpeted) by the conservatives to signal something bad (crowding out). In this case, the reason long-term yields would be rising is because investors were diversifying their portfolios and moving back into private financial assets.

The yield reflects the last auction bid in the bond issue. So if diversification is occurring reflecting confidence and the demand for public debt weakens and yields rise this has nothing at all to do with a declining pool of funds being soaked up by the binging government!

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

• Saturday Quiz – April 17, 2010 – answers and discussion
• Time to outlaw the credit rating agencies
• Studying macroeconomics – an exercise in deception
• Time for a reality check on debt – Part 1
• Will we really pay higher interest rates?

That is enough for today!

(c) Copyright 2022 William Mitchell. All Rights Reserved.