The Weekend Quiz – February 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:

In the endogenous money system that exists today, a central bank cannot simultaneously reduce bank lending and maintain a given positive target interest rate by increasing the rate that it provides reserves on demand to the commercial banks.

The answer is True.

The facts are as follows. First, central banks will always provided enough reserve balances to the commercial banks at a price it sets using a combination of overdraft/discounting facilities and open market operations.

Second, if the central bank didn’t provide the reserves necessary to match the growth in deposits in the commercial banking system then the payments system would grind to a halt and there would be significant hikes in the interbank rate of interest and a wedge between it and the policy (target) rate – meaning the central bank’s policy stance becomes compromised.

Third, any reserve requirements within this context while legally enforceable (via fines etc) do not constrain the commercial bank credit creation capacity. Central bank reserves (the accounts the commercial banks keep with the central bank) are not used to make loans. They only function to facilitate the payments system (apart from satisfying any reserve requirements).

Fourth, banks make loans to credit-worthy borrowers and these loans create deposits. If the commercial bank in question is unable to get the reserves necessary to meet the requirements from other sources (other banks) then the central bank has to provide them. But the process of gaining the necessary reserves is a separate and subsequent bank operation to the deposit creation (via the loan).

Fifth, if there were too many reserves in the system (relative to the banks’ desired levels to facilitate the payments system and the required reserves then competition in the interbank (overnight) market would drive the interest rate down. This competition would be driven by banks holding surplus reserves (to their requirements) trying to lend them overnight. The opposite would happen if there were too few reserves supplied by the central bank. Then the chase for overnight funds would drive rates up.

In both cases the central bank would lose control of its current policy rate as the divergence between it and the interbank rate widened. This divergence can snake between the rate that the central bank pays on excess reserves (this rate varies between countries and overtime but before the crisis was zero in Japan and the US) and the penalty rate that the central bank seeks for providing the commercial banks access to the overdraft/discount facility.

So the aim of the central bank is to issue just as many reserves that are required for the law and the banks’ own desires.

Now the question seeks to link the penalty rate that the central bank charges for providing reserves to the banks and the central bank’s target rate. The wider the spread between these rates the more difficult does it become for the central bank to ensure the quantity of reserves is appropriate for maintaining its target (policy) rate.

Where this spread is narrow, central banks “hit” their target rate each day more precisely than when the spread is wider.

So if the central bank really wanted to put the screws on commercial bank lending via increasing the penalty rate, it would have to be prepared to lift its target rate in close correspondence. In other words, its monetary policy stance becomes beholden to the discount window settings.

The best answer was True because the central bank cannot operate with wide divergences between the penalty rate and the target rate and it is likely that the former would have to rise significantly to choke private bank credit creation.

Note if the support rate (the rate that the central bank pays on excess reserves) was equal to the policy rate, then there would be an asymmetry introduced.

Banks would not mind holding excess reserves and the central bank would have no trouble ‘hitting’ its target rate each day. Whereas, in the case of a shortfall of reserves, the support rate would still not prevent the interbank rate from rising prior to the central bank pumping more reserves into the system.

You might like to read this blogs for further information:

Question 2

The fact that a sovereign government is never financially constrained means that it will always be able to provide first-class health care to an ageing population should it have the political will to do so.

The answer is False.

Does the dependency ratio matter? It surely does but not in the way that is usually assumed.

The standard dependency ratio is normally defined as 100*(population 0-15 years) + (population over 65 years) all divided by the (population between 15-64 years). Historically, people retired after 64 years and so this was considered reasonable. The working age population (15-64 year olds) then were seen to be supporting the young and the old.

The aged dependency ratio is calculated as:

100*Number of persons over 65 years of age divided by the number of persons of working age (15-65 years).

The child dependency ratio is calculated as:

100*Number of persons under 15 years of age divided by the number of persons of working age (15-65 years).

The total dependency ratio is the sum of the two. You can clearly manipulate the “retirement age” and add workers older than 65 into the denominator and subtract them from the numerator.

If we want to actually understand the changes in active workers relative to inactive persons (measured by not producing national income) over time then the raw computations are inadequate.

Then you have to consider the so-called effective dependency ratio which is the ratio of economically active workers to inactive persons, where activity is defined in relation to paid work. So like all measures that count people in terms of so-called gainful employment they ignore major productive activity like housework and child-rearing. The latter omission understates the female contribution to economic growth.

Given those biases, the effective dependency ratio recognises that not everyone of working age (15-64 or whatever) are actually producing. There are many people in this age group who are also “dependent”. For example, full-time students, house parents, sick or disabled, the hidden unemployed, and early retirees fit this description.

I would also include the unemployed and the underemployed in this category although the statistician counts them as being economically active.

If we then consider the way the neo-liberal era has allowed mass unemployment to persist and rising underemployment to occur you get a different picture of the dependency ratios.

The reason that mainstream economists believe the dependency ratio is important is typically based on false notions of the government fiscal constraint.

So a rising dependency ratio suggests that there will be a reduced tax base and hence an increasing fiscal crisis given that public spending is alleged to rise as the ratio rises as well.

So if the ratio of economically inactive rises compared to economically active, then the economically active will have to pay much higher taxes to support the increased spending. So an increasing dependency ratio is meant to blow the deficit out and lead to escalating debt.

These myths have also encouraged the rise of the financial planning industry and private superannuation funds which blew up during the recent crisis losing millions for older workers and retirees. The less funding that is channelled into the hands of the investment banks the better is a good general rule.

But all of these claims are not in the slightest bit true and should be rejected out of hand.

So you get all this hoopla about the fiscal crisis that is emerging. Apparently we have to make people work longer despite this being very biased against the lower-skilled workers who physically are unable to work hard into later life.

We are also encouraged to increase our immigration levels to lower the age composition of the population and expand the tax base. Further, we are told relentlessly that the government will be unable to afford to provide the quality and quantity of the services that we have become used too.

However, all of these remedies miss the point overall. It is not a financial crisis that beckons but a real one. Dependency ratios matter because they tell us how many workers will be available to produce real goods and services at any point in time. So we can make projections about real GDP growth for given projections about productivity once we have an idea of these underlying dependency ratios.

Clearly we want to be sure that the projected real needs of the population are capable of being met with the likely available resources.

So the only question we need to ask about the future population trends relate to whether there will be enough real resources available to provide aged-care, etc at a desirable level in the future? However, that is never the way the debate is framed. The worry is always that public outlays will rise because more real resources will be required “in the public sector” than previously.

However these outlays are irrelevant from a financial point of view. The government can purchase anything that is for sale in the currency it issues at any time. There is never a question that the government cannot afford to buy something that is available.

It is the availability that is the issue. As long as these real resources are available there will be no problem. In this context, the type of policy strategy that is being driven by these myths will probably undermine the future productivity and provision of real goods and services in the future.

It is clear that the goal should be to maintain efficient and effective medical care systems. Clearly the real health care system matters by which I mean the resources that are employed to deliver the health care services and the research that is done by universities and elsewhere to improve our future health prospects. So real facilities and real know how define the essence of an effective health care system.

Further, productivity growth comes from research and development and in Australia the private sector has an abysmal track record in this area. Typically they are parasites on the public research system which is concentrated in the universities and public research centres (for example, CSIRO).

Unfortunately, tackling the problems of the distant future in terms of current “monetary” considerations which have led to the conclusion that fiscal austerity is needed today to prepare us for the future will actually undermine our future.

The irony is that the pursuit of fiscal austerity leads governments to target public education almost universally as one of the first expenditures that are reduced.

Most importantly, maximising employment and output in each period is a necessary condition for long-term growth. The emphasis in mainstream integeneration debate that we have to lift labour force participation by older workers is sound but contrary to current government policies which reduces job opportunities for older male workers by refusing to deal with the rising unemployment.

Anything that has a positive impact on the dependency ratio is desirable and the best thing for that is ensuring that there is a job available for all those who desire to work.

Further encouraging increased casualisation and allowing underemployment to rise is not a sensible strategy for the future. The incentive to invest in one’s human capital is reduced if people expect to have part-time work opportunities increasingly made available to them.

But all these issues are really about political choices rather than government finances. The ability of government to provide necessary goods and services to the non-government sector, in particular, those goods that the private sector may under-provide is independent of government finance.

Any attempt to link the two via fiscal policy “discipline:, will not increase per capita GDP growth in the longer term. The reality is that fiscal drag that accompanies such “discipline” reduces growth in aggregate demand and private disposable incomes, which can be measured by the foregone output that results.

Clearly surpluses help control inflation because they act as a deflationary force relying on sustained excess capacity and unemployment to keep prices under control. This type of fiscal “discipline” is also claimed to increase national savings but this equals reduced non-government savings, which arguably is the relevant measure to focus upon.

So even though the government is not financially constrained it might adopt a policy platform that undermines productivity growth and leaves the economy short of real productive resources at a time in the future when they will be needed to fulfill its socio-economic program.

You might like to read this blogs for further information:

Question 3:

Whether the government records a fiscal deficit when the domestic private sector is spending less than it earns depends on the size of the external deficit.

The answer is False.

This question requires an understanding of the sectoral balances that can be derived from the National Accounts. But it also requires some understanding of the behavioural relationships within and between these sectors which generate the outcomes that are captured in the National Accounts and summarised by 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.

So in terms of Expression (6) [(S – I) – CAD] = (G – T), consider the following examples:

(S – I) = 2 per cent of GDP so (S-I) is positive
CAD = 2 per cent of GDP so CAD is negative

Then +2 – (-2) = + 4 per cent of GDP

That is the government deficit is 4 per cent.

Now let:

(S – I) = 2 per cent of GDP so (S-I) is positive
CAD = 6 per cent of GDP so CAD is negative

Then +2 – (-6) = + 8 per cent of GDP

That is the government deficit is 8 per cent.

The point is that it doesn’t matter what size the external deficit is. As long there is an external deficit, the government will be in deficit if the private domestic sector is saving overall.

It cannot be anything other than that.

So what economic behaviour might lead to the outcome specified in the question?

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

The reference to the “size” of the external deficit was to place doubt in your mind. In fact, it doesn’t matter how large the external deficit is for this question.

Assume, now that the private domestic sector (households and firms) seeks to increase its overall level of savings relative to its income and is successful in doing so.

For example, consistent with this aspiration, households may cut back on consumption spending and save more out of disposable income. The immediate impact is that aggregate demand will fall and inventories will start to increase beyond the desired level of the firms.

The firms will soon react to the increased inventory holding costs and will start to cut back production. How quickly this happens depends on a number of factors including the pace and magnitude of the initial demand contraction. But if the households persist in trying to save more and consumption continues to lag, then soon enough the economy starts to contract – output, employment and income all fall.

The initial contraction in consumption multiplies through the expenditure system as workers who are laid off also lose income and their spending declines. This leads to further contractions.

The declining income leads to a number of consequences. Net exports improve as imports fall (less income) but the question clearly assumes that the external sector remains in deficit. Total saving actually starts to decline as income falls as does induced consumption.

So the initial discretionary decline in consumption is supplemented by the induced consumption falls driven by the multiplier process.

The decline in income then stifles firms’ investment plans – they become pessimistic of the chances of realising the output derived from augmented capacity and so aggregate demand plunges further. Both these effects push the private domestic balance further towards and eventually into surplus

With the economy in decline, tax revenue falls and welfare payments rise which push the public fiscal balance towards and eventually into deficit via the automatic stabilisers.

If the private sector persists in trying to increase its overall saving ratio then the contracting income will clearly push the fiscal balance into deficit.

So we would have an external deficit, a private domestic surplus and a fiscal deficit.

The following blogs may be of further interest to you:

That is enough for today!

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

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    7 Responses to The Weekend Quiz – February 10-11, 2018 – answers and discussion

    1. Nigel Hargreaves says:

      This brings something to the fore that had been at the back of mind.

      Bill has always said before that commercial banks will always lend to as many creditworthy customers as come through their door. The bank does not need to worry about how much reserves it has because the loan is just an accountancy operation.

      However, the thing is that the bank might have a problem at the moment the borrower withdraws the funds (or at least over that night) because it will need to replenish its reserves thus lost – assuming the funds finish up in another bank. So banks might get wary about lending if they knew they might have to pay a high penalty rate in the event they were short of reserves and could not get them from another bank.

      I think this is extremely specious. In reality all banks are making loans of a similar amount every day and all banks are losing and receiving reserves of a similar amount every day. I would suggest (though don’t know – I’m happy to be put right) that the actual amount banks exchange overnight to balance their reserves is pretty small, and over the course of a month would be even smaller in aggregate. So I think there would have to be something pretty unnusual going on for banks to start worrying about central bank penalty rates.

      I note Bill says “The best answer is true..” That means the second-best answer is false. So both answers are correct to a varying degree.

    2. Mel says:

      “So I think there would have to be something pretty unnusual going on for banks to start worrying about central bank penalty rates.”

      I’ve been starting to think that the lever that the Central Bank uses to control the money supply is a very wobbly, double-jointed thing. Once the banks get into their stride, clearing must be a rather routine, boring thing, and since a bank’s withdrawal is another bank’s deposit, any bank that’s caught short (through backing some big punter) should be able to borrow the money back from another bank at some mutually agreeable rate, as long as their capital gives them the right collateral.
      Until it isn’t, like in 2008, whatever happened then.

    3. Curt Kastens says:

      Dear Bill,
      I thought about sending this to your private email. Then I decided to just post it here as more people will see it. I came across the linked wikipedia article about economic schools of thought. There is no entry for MMT. Could MMT also be called the Kansas City School? In any case I thought that this discrepency was in need of an urgent correction. But I do not deem myself qualitfied to write the additional material to add to the aritlcle. Being the world’s most underrated commedian does not make me qualified to write a google entery about economics.
      By placing this notice here I hopefully save you the trouble of needing to assign someone the task of correcting this viscous oversight.

    4. Curt Kastens says:

      OOPS AGAIN: I actually forgot to link the article.
      Here it is.
      https://en.wikipedia.org/wiki/Schools_of_economic_thought#Keynesian_econom
      Well the link goes to the middle of the page not the top of the page. Sorry about that.

    5. bill says:

      Dear Curt Kastens (at 2018/02/11 at 7:35 am)

      I think it would be highly misleading to refer to MMT as the “the Kansas City School”. Some of the early proponents lived and worked in KC but some of the other significant players did not. Further, the development has not been an exclusively US thing.

      best wishes
      bill

    6. cs says:

      “Then +2 – (-5) = + 8 per cent of GDP”

      I think it should be -6?

      ;-)

    7. bill says:

      Dear CS (at 2018/02/11 at 12:37 pm)

      Yes, it should be -6. Fixed now. Thanks.

      best wishes
      bill

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