Saturday Quiz – April 13, 2013 – answers and discussion

Here are the answers with discussion for yesterday’s quiz. The information provided should help you understand the reasoning behind the answers. 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 distribution of national income has shifted in most advanced nations over the last two decades in favour of profits and has forced workers to increase their debt levels to maintain consumption growth. This trend will only be reversed if workers can secure higher wages each year in line with the growth of labour productivity.

The answer is False.

The share the workers get of GDP (National Income) is called the “wage share”. Their contribution to production is measured by labour productivity (output per unit of labour input).

The wage share in nominal GDP is expressed as the total wage bill as a percentage of nominal GDP. Economists differentiate between nominal GDP ($GDP), which is total output produced at market prices and real GDP (GDP), which is the actual physical equivalent of the nominal GDP. We will come back to that distinction soon.

To compute the wage share we need to consider total labour costs in production and the flow of production ($GDP) each period.

Employment (L) is a stock and is measured in persons (averaged over some period like a month or a quarter or a year.

The wage bill is a flow and is the product of total employment (L) and the average wage (w) prevailing at any point in time. Stocks (L) become flows if it is multiplied by a flow variable (W). So the wage bill is the total labour costs in production per period.

So the wage bill = W.L

The wage share is just the total labour costs expressed as a proportion of $GDP – (W.L)/$GDP in nominal terms, usually expressed as a percentage. We can actually break this down further.

Labour productivity (LP) is the units of real GDP per person employed per period. Using the symbols already defined this can be written as:

LP = GDP/L

so it tells us what real output (GDP) each labour unit that is added to production produces on average.

We can also define another term – the real wage – which is the purchasing power equivalent on the nominal wage that workers get paid each period. To compute the real wage we need to consider two variables: (a) the nominal wage (W) and the aggregate price level (P).

We might consider the aggregate price level to be measured by the consumer price index (CPI) although there are huge debates about that. But in a sense, this macroeconomic price level doesn’t exist but represents some abstract measure of the general movement in all prices in the economy.

The nominal wage (W) – that is paid by employers to workers is determined in the labour market – by the contract of employment between the worker and the employer. The price level (P) is determined in the goods market – by the interaction of total supply of output and aggregate demand for that output although there are complex models of firm price setting that use cost-plus mark-up formulas with demand just determining volume sold. We shouldn’t get into those debates here.

The inflation rate is just the continuous growth in the price level (P). A once-off adjustment in the price level is not considered by economists to constitute inflation.

The real wage (w) tells us what volume of real goods and services the nominal wage (W) will be able to command and is obviously influenced by the level of W and the price level. For a given W, the lower is P the greater the purchasing power of the nominal wage and so the higher is the real wage (w).

We write the real wage (w) as W/P. So if W = 10 and P = 1, then the real wage (w) = 10 meaning that the current wage will buy 10 units of real output. If P rose to 2 then w = 5, meaning the real wage was now cut by one-half.

Nominal GDP ($GDP) can be written as P.GDP, where the P values the real physical output.

By substituting the expression for Nominal GDP into the wage share measure we get:

Wage share = (W.L)/P.GDP

In this area of economics, we often look for alternative way to write this expression – it maintains the equivalence (that is, obeys all the rules of algebra) but presents the expression (in this case the wage share) in a different “view”.

So we can write as an equivalent:

Wage share – (W/P).(L/GDP)

Now if you note that (L/GDP) is the inverse (reciprocal) of the labour productivity term (GDP/L). We can use another rule of algebra (reversing the invert and multiply rule) to rewrite this expression again in a more interpretable fashion.

So an equivalent but more convenient measure of the wage share is:

Wage share = (W/P)/(GDP/L) – that is, the real wage (W/P) divided by labour productivity (GDP/L).

That journey might have seemed difficult to non-economists (or those not well-versed in algebra) but it produces a very easy to understand formula for the wage share.

Two other points to note. The wage share is also equivalent to the real unit labour cost (RULC) measures that Treasuries and central banks use to describe trends in costs within the economy. Please read my blog – Saturday Quiz – May 15, 2010 – answers and discussion – for more discussion on this point.

So it becomes obvious that the correct statement is that the real wage has to keep pace with productivity growth for the wage share to remain constant. If the nominal wage (W) and the price level (P) are growing at the pace the real wage is constant. And if the real wage is growing at the same rate as labour productivity, then both terms in the wage share ratio are equal and so the wage share is constant.

The following blogs may be of further interest to you:

• The origins of the economic crisis
• The fiscal stimulus worked but was captured by profits

Question 2:

Under current arrangements, where sovereign governments match their deficits with issues of debt to the private sector, it is possible for the government and the private domestic sectors to simultaneously run surpluses.

The answer is True.

This is a question about the sectoral balances – the government budget 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 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).

From the uses perspective, national income (GDP) can be used for:

GDP = C + S + T

which says that GDP (income) ultimately comes back to households who consume (C), save (S) or pay taxes (T) with it once all the distributions are made.

Equating these two perspectives we get:

C + S + T = GDP = C + I + G + (X – M)

So after simplification (but obeying the equation) we get the sectoral balances view of the national accounts.

(I – S) + (G – T) + (X – M) = 0

That is the three balances have to sum to zero.

You can also write this as:

(S – I) + (T – G) = (X – M)

Which gives an easier interpretation (especially in relation to this question).

The sectoral balances derived are:

• The private domestic balance (S – I) – positive if in surplus, negative if in deficit.
• The Budget balance (T – G) – positive if in surplus, negative if in deficit.
• The Current Account balance (X – M) – positive if in surplus, negative if in deficit.

These balances are usually expressed as a per cent of GDP but that doesn’t alter the accounting rules that they sum to zero, it just means the balance to GDP ratios sum to zero.

Using this version of the sectoral balance framework:

(S – I) + (T – G) = (X – M)

So the domestic balance (left-hand side) – which is the sum of the private domestic sector and the government sector equals the external balance.

For the left-hand side of the equation to be positive (that is, in surplus overall) and the individual sectoral components to be in surplus overall, the right-hand side has to be positive (that is, an external surplus) and of sufficient magnitude.

This is also a basic rule derived from the national accounts and has to apply at all times.

The following graph and accompanying table shows a 8-period sequence where for the first four years the nation is running an external deficit (2 per cent of GDP) and for the last four year the external sector is in surplus (2 per cent of GDP).

For the question to be true we should never see the government surplus (T – G > 0) and the private domestic surplus (S – I > 0) simultaneously occurring – which in the terms of the graph will be the green and navy bars being above the zero line together.

You see that in the first four periods that never occurs which tells you that when there is an external deficit (X – M < 0) the private domestic and government sectors cannot simultaneously run surpluses, no matter how hard they might try. The income adjustments will always force one or both of the sectors into deficit.

The sum of the private domestic surplus and government surplus has to equal the external surplus. So that condition defines the situations when the private domestic sector and the government sector can simultaneously pay back debt.

It is only in Period 5 that we see the condition satisfied (see red circle).

That is because the private and government balances (both surpluses) exactly equal the external surplus.

If the private domestic sector tried to push for higher saving overall (say in Period 6), national income would fall (because overall spending fell) and the government surplus would vanish as the automatic stabilisers responded with lower tax revenue and higher welfare payments.

Periods 7 and 8 show what happens when the private domestic sector runs deficits with an external surplus. The combination of the external surplus and the private domestic deficit adding to demand drives the automatic stabilisers to push the government budget into further surplus as economic activity is high. But this growth scenario is unsustainable because it implies an increasing level of indebtedness overall for the private domestic sector which has finite limits. Eventually, that sector will seek to stabilise its balance sheet (which means households and firms will start to save overall). That would reduce domestic income and the budget would move back into deficit (or a smaller surplus) depending on the size of the external surplus.

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 budget 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 blogs may be of further interest to you:

• Barnaby, better to walk before we run
• Stock-flow consistent macro models
• Norway and sectoral balances
• The OECD is at it again!

Question 3:

A currency-issuing sovereign government can always provide first-class health care to its ageing citizens if it has the political will.

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 budget 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 budget 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:

• Democracy, accountability and more intergenerational nonsense
• Another intergenerational report – another waste of time
• The US should have universal public health care
• The myths of the ageing society debate