Category: Economics 11e

Artificial intelligence is having a profound effect on economies and society. From production, to services, to healthcare, to pharmaceuticals; to education, to research, to data analysis; to software, to search engines; to planning, to communication, to legal services, to social media – to our everyday lives, AI is transforming the way humans interact. And that transformation is likely to accelerate. But what will be the effects on GDP, on consumption, on jobs, on the distribution of income, and human welfare in general? These are profound questions and ones that economists and other social scientists are pondering. Here we look at some of the issues and possible scenarios.

According to the Merrill/Bank of America article linked below, when asked about the potential for AI, ChatGPT replied:

AI holds immense potential to drive innovation, improve decision-making processes and tackle complex problems across various fields, positively impacting society.

But the magnitude and distribution of the effects on society and economic activity are hard to predict. Perhaps the easiest is the effect on GDP. AI can analyse and interpret data to meet economic goals. It can do this much more extensively and much quicker than using pre-AI software. This will enable higher productivity across a range of manufacturing and service industries. According to the Merrill/Bank of America article, ‘global revenue associated with AI software, hardware, service and sales will likely grow at 19% per year’. With productivity languishing in many countries as they struggle to recover from the pandemic, high inflation and high debt, this massive boost to productivity will be welcome.

But whilst AI may lead to productivity growth, its magnitude is very hard to predict. Both the ‘low-productivity future’ and the ‘high-productivity future’ described in the IMF article linked below are plausible. Productivity growth from AI may be confined to a few sectors, with many workers displaced into jobs where they are less productive. Or, the growth in productivity may affect many sectors, with ‘AI applied to a substantial share of the tasks done by most workers’.

Growing inequality?

Even if AI does massively boost the growth in world GDP, the distribution is likely to be highly uneven, both between countries and within countries. This could widen the gap between rich and poor and create a range of social tensions.

In terms of countries, the main beneficiaries will be developed countries in North America, Europe and Asia and rapidly developing countries, largely in Asia, such as China and India. Poorer developing countries’ access to the fruits of AI will be more limited and they could lose competitive advantage in a number of labour-intensive industries.

Then there is growing inequality between the companies controlling AI systems and other economic actors. Just as companies such as Microsoft, Apple, Google and Meta grew rich as computing, the Internet and social media grew and developed, so these and other companies at the forefront of AI development and supply will grow rich, along with their senior executives. The question then is how much will other companies and individuals benefit. Partly, it will depend on how much production can be adapted and developed in light of the possibilities that AI presents. Partly, it will depend on competition within the AI software market. There is, and will continue to be, a rush to develop and patent software so as to deliver and maintain monopoly profits. It is likely that only a few companies will emerge dominant – a natural oligopoly.

Then there is the likely growth of inequality between individuals. The reason is that AI will have different effects in different parts of the labour market.

The labour market

In some industries, AI will enhance labour productivity. It will be a tool that will be used by workers to improve the service they offer or the items they produce. In other cases, it will replace labour. It will not simply be a tool used by labour, but will do the job itself. Workers will be displaced and structural unemployment is likely to rise. The quicker the displacement process, the more will such unemployment rise. People may be forced to take more menial jobs in the service sector. This, in turn, will drive down the wages in such jobs and employers may find it more convenient to use gig workers than employ workers on full- or part-time contracts with holidays and other rights and benefits.

But the development of AI may also lead to the creation of other high-productivity jobs. As the Goldman Sachs article linked below states:

Jobs displaced by automation have historically been offset by the creation of new jobs, and the emergence of new occupations following technological innovations accounts for the vast majority of long-run employment growth… For example, information-technology innovations introduced new occupations such as webpage designers, software developers and digital marketing professionals. There were also follow-on effects of that job creation, as the boost to aggregate income indirectly drove demand for service sector workers in industries like healthcare, education and food services.

Nevertheless, people could still lose their jobs before being re-employed elsewhere.

The possible rise in structural unemployment raises the question of retraining provision and its funding and whether workers would be required to undertake such retraining. It also raises the question of whether there should be a universal basic income so that the additional income from AI can be spread more widely. This income would be paid in addition to any wages that people earn. But a universal basic income would require finance. How could AI be taxed? What would be the effects on incentives and investment in the AI industry? The Guardian article, linked below, explores some of these issues.

The increased GDP from AI will lead to higher levels of consumption. The resulting increase in demand for labour will go some way to offsetting the effects of workers being displaced by AI. There may be new employment opportunities in the service sector in areas such as sport and recreation, where there is an emphasis on human interaction and where, therefore, humans have an advantage over AI.

Another issue raised is whether people need to work so many hours. Is there an argument for a four-day or even three-day week? We explored these issues in a recent blog in the context of low productivity growth. The arguments become more compelling when productivity growth is high.

Other issues

AI users are not all benign. As we are beginning to see, AI opens the possibility for sophisticated crime, including cyberattacks, fraud and extortion as the technology makes the acquisition and misuse of data, and the development of malware and phishing much easier.

Another set of issues arises in education. What knowledge should students be expected to acquire? Should the focus of education continue to shift towards analytical skills and understanding away from the simple acquisition of knowledge and techniques. This has been a development in recent years and could accelerate. Then there is the question of assessment. Generative AI creates a range of possibilities for plagiarism and other forms of cheating. How should modes of assessment change to reflect this problem? Should there be a greater shift towards exams or towards project work that encourages the use of AI?

Finally, there is the issue of the sort of society we want to achieve. Work is not just about producing goods and services for us as consumers – work is an important part of life. To the extent that AI can enhance working life and take away a lot of routine and boring tasks, then society gains. To the extent, however, that it replaces work that involved judgement and human interaction, then society might lose. More might be produced, but we might be less fulfilled.

Articles

Questions

  1. Which industries are most likely to benefit from the development of AI?
  2. Distinguish between labour-replacing and labour-augmenting technological progress in the context of AI.
  3. How could AI reduce the amount of labour per unit of output and yet result in an increase in employment?
  4. What people are most likely to (a) gain, (b) lose from the increasing use of AI?
  5. Is the distribution of income likely to become more equal or less equal with the development and adoption of AI? Explain.
  6. What policies could governments adopt to spread the gains from AI more equally?

Since 2019, UK personal taxes (income tax and national insurance) have been increasing as a proportion of incomes and total tax revenues have been increasing as a proportion of GDP. However, in his Autumn Statement of 22 November, the Chancellor, Jeremy Hunt, announced a 2 percentage point cut in the national insurance rate for employees from 12% to 10%. The government hailed this as a significant tax cut. But, despite this, taxes are set to continue increasing. According to the Office for Budget Responsibility (OBR), from 2019/20 to 2028/29, taxes will have increased by 4.5 per cent of GDP (see chart below), raising an extra £44.6 billion per year by 2028/29. One third of this is the result of ‘fiscal drag’ from the freezing of tax thresholds.

According to the OBR

Fiscal drag is the process by which faster growth in earnings than in income tax thresholds results in more people being subject to income tax and more of their income being subject to higher tax rates, both of which raise the average tax rate on total incomes.

Income tax thresholds have been unchanged for the past three years and the current plan is that they will remain frozen until at least 2027/28. This is illustrated in the following table.

If there were no inflation, fiscal drag would still apply if real incomes rose. In other words, people would be paying a higher average rate of tax. Part of the reason is that some people on low incomes would be dragged into paying tax for the first time and more people would be paying taxes at higher rates. Even in the case of people whose income rise did not pull them into a higher tax bracket (i.e. they were paying the same marginal rate of tax), they would still be paying a higher average rate of tax as the personal allowance would account for a smaller proportion of their income.

Inflation compounds this effect. Tax bands are in nominal not real terms. Assume that real incomes stay the same and that tax bands are frozen. Nominal incomes will rise by the rate of inflation and thus fiscal drag will occur: the real value of the personal allowance will fall and a higher proportion of incomes will be paid at higher rates. Since 2021, some 2.2 million workers, who previously paid no income taxes as their incomes were below the personal allowance, are now paying tax on some of their wages at the 20% rate. A further 1.6 million workers have moved to the higher tax bracket with a marginal rate of 40%.

The net effect is that, although national insurance rates have been cut by 2 percentage points, the tax burden will continue rising. The OBR estimates that by 2027/28, tax revenues will be 37.4% of GDP; they were 33.1% in 2019/20. This is illustrated in the chart (click here for a PowerPoint).

Much of this rise will be the result of fiscal drag. According to the OBR, fiscal drag from freezing personal allowances, even after the cut in national insurance rates, will raise an extra £42.9 billion per year by 2027/28. This would be equivalent of the amount raised by a rise in national insurance rates of 10 percentage points. By comparison, the total cost to the government of the furlough scheme during the pandemic was £70 billion. For further analysis by the OBR of the magnitude of fiscal drag, see Box 3.1 (p 69) in the November 2023 edition of its Economic and fiscal outlook.

Political choices

Support measures during the pandemic and its aftermath and subsidies for energy bills have led to a rise in government debt. This has put a burden on public finances, compounded by sluggish growth and higher interest rates increasing the cost of servicing government debt. This leaves the government (and future governments) in a dilemma. It must either allow fiscal drag to take place by not raising allowances or even raise tax rates, cut government expenditure or increase borrowing; or it must try to stimulate economic growth to provide a larger tax base; or it must do some combination of all of these. These are not easy choices. Higher economic growth would be the best solution for the government, but it is difficult for governments to achieve. Spending on infrastructure, which would support growth, is planned to be cut in an attempt to reduce borrowing. According to the OBR, under current government plans, public-sector net investment is set to decline from 2.6% of GDP in 2023/24 to 1.8% by 2028/29.

The government is attempting to achieve growth by market-orientated supply-side measures, such as making permanent the current 100% corporation tax allowance for investment. Other measures include streamlining the planning system for commercial projects, a business rates support package for small businesses and targeted government support for specific sectors, such as digital technology. Critics argue that this will not be sufficient to offset the decline in public investment and renew crumbling infrastructure.

To support public finances, the government is using a combination of higher taxation, largely through fiscal drag, and cuts in government expenditure (from 44.8% of GDP in 2023/24 to a planned 42.7% by 2028/29). If the government succeeds in doing this, the OBR forecasts that public-sector net borrowing will fall from 4.5% of GDP in 2023/24 to 1.1% by 2028/29. But higher taxes and squeezed public expenditure will make many people feel worse off, especially those that rely on public services.

Videos

  • Fiscal drag
  • Sky News Politics Hub on X, Sophy Ridge (22/11/23)

  • Fiscal drag
  • Sky News Politics Hub on X, Beth Rigby (22/11/23)

Articles

Report and data from the OBR

Questions

  1. Would fiscal drag occur with frozen nominal tax bands if there were zero real growth in incomes? Explain.
  2. Examine the arguments for continuing to borrow to fund a Budget deficit over a number of years.
  3. When interest rates rise, how much does this affect the cost of servicing public-sector debt? Why is the effect likely to be greater in the long run than in the short run?
  4. If the government decides that it wishes to increase tax revenues as a proportion of GDP (for example, to fund increased government expenditure on infrastructure and socially desirable projects and benefits), examine the arguments for increasing personal allowances and tax bands in line with inflation but raising the rates of income tax in order to raise sufficient revenue?
  5. Distinguish between market-orientated and interventionist supply-side policies? Why do political parties differ in their approaches to supply-side policy?

The past decade or so has seen large-scale economic turbulence. As we saw in the blog Fiscal impulses, governments have responded with large fiscal interventions. The COVID-19 pandemic, for example, led to a positive fiscal impulse in the UK in 2020, as measured by the change in the structural primary balance, of over 12 per cent of national income.

The scale of these interventions has led to a significant increase in the public-sector debt-to-GDP ratio in many countries. The recent interest rates hikes arising from central banks responding to inflationary pressures have put additional pressure on the financial well-being of governments, not least on the financing of their debt. Here we discuss these pressures in the context of the ‘r g’ rule of sustainable public debt.

Public-sector debt and borrowing

Chart 1 shows the path of UK public-sector net debt and net borrowing, as percentages of GDP, since 1990. Debt is a stock concept and is the result of accumulated flows of past borrowing. Net debt is simply gross debt less liquid financial assets, which mainly consist of foreign exchange reserves and cash deposits. Net borrowing is the headline measure of the sector’s deficit and is based on when expenditures and receipts (largely taxation) are recorded rather than when cash is actually paid or received. (Click here for a PowerPoint of Chart 1)

Chart 1 shows the impact of the fiscal interventions associated with the global financial crisis and the COVID-19 pandemic, when net borrowing rose to 10 per cent and 15 per cent of GDP respectively. The former contributed to the debt-to-GDP ratio rising from 35.6 per cent in 2007/8 to 81.6 per cent in 2014/15, while the pandemic and subsequent cost-of-living interventions contributed to the ratio rising from 85.2 per cent in 2019/20 to around 98 per cent in 2023/24.

Sustainability of the public finances

The ratcheting up of debt levels affects debt servicing costs and hence the budgetary position of government. Yet the recent increases in interest rates also raise the costs faced by governments in financing future deficits or refinancing existing debts that are due to mature. In addition, a continuation of the low economic growth that has beset the UK economy since the global financial crisis also has implications for the burden imposed on the public sector by its debts, and hence the sustainability of the public finances. After all, low growth has implications for spending commitments, and, of course, the flow of receipts.

The analysis therefore implies that the sustainability of public-sector debt is dependent on at least three factors: existing debt levels, the implied average interest rate facing the public sector on its debts, and the rate of economic growth. These three factors turn out to underpin a well-known rule relating to the fiscal arithmetic of public-sector debt. The rule is sometimes known as the ‘r g’ rule (i.e. the interest rate minus the growth rate).

Underpinning the fiscal arithmetic that determines the path of public-sector debt is the concept of the ‘primary balance’. This is the difference between the sector’s receipts and its expenditures less its debt interest payments. A primary surplus (a positive primary balance) means that receipts exceed expenditures less debt interest payments, whereas a primary deficit (a negative primary balance) means that receipts fall short. The fiscal arithmetic necessary to prevent the debt-to-GDP ratio rising produces the following stable debt equation or ‘r g’ rule:

On the left-hand side of the stable debt equation is the required primary surplus (PS) to GDP (Y) ratio. Moving to the right-hand side, the first term is the existing debt-to-GDP ratio (D/Y). The second term ‘r g’, is the differential between the average implied interest rate the government pays on its debt and the growth rate of the economy. These terms can be expressed in either nominal or real terms as this does not affect the differential.

To illustrate the rule consider a country whose existing debt-to-GDP ratio is 1 (i.e. 100 per cent) and the ‘r g’ differential is 0.02 (2 percentage points). In this scenario they would need to run a primary surplus to GDP ratio of 0.02 (i.e. 2 percent of GDP).

The ‘r g‘ differential

The ‘r g’ differential reflects macroeconomic and financial conditions. The fiscal arithmetic shows that these are important for the dynamics of public-sector debt. The fiscal arithmetic is straightforward when r = g as any primary deficit will cause the debt-to-GDP ratio to rise, while a primary surplus will cause the ratio to fall. The larger is g relative to r the more favourable are the conditions for the path of debt. Importantly, if the differential is negative (r < g), it is possible for the public sector to run a primary deficit, up to the amount that the stable debt equation permits.

Consider Charts 2 and 3 to understand how the ‘r g’ differential has affected debt sustainability in the UK since 1990. Chart 2 plots the implied yield on 10-year government bonds, alongside the annual rate of nominal growth (click here for a PowerPoint). As John explains in his blog The bond roller coaster, the yield is calculated as the coupon rate that would have to be paid for the market price of a bond to equal its face value. Over the period, the average annual nominal growth rate was 4.5 per cent, while the implied interest rate was almost identical at 4.6 per cent. The average annual rate of CPI inflation over this period was 2.8 per cent.

Chart 3 plots the ‘r g’ differential which is simply the difference between the two series in Chart 2, along with a 12-month rolling average of the differential to help show better the direction of the differential by smoothing out some of the short-term volatility (click here for a PowerPoint). The differential across the period is a mere 0.1 percentage points implying that macroeconomic and financial conditions have typically been neutral in supporting debt sustainability. However, this does mask some significant changes across the period.

We observe a general downward trend in the ‘r g’ differential from 1990 up to the time of the global financial crisis. Indeed between 2003 and 2007 we observe a favourable negative differential which helps to support the sustainability of public debt and therefore the well-being of the public finances. This downward trend of the ‘r g’ differential was interrupted by the financial crisis, driven by a significant contraction in economic activity. This led to a positive spike in the differential of over 7 percentage points.

Yet the negative differential resumed in 2010 and continued up to the pandemic. Again, this is indicative of the macroeconomic and financial environments being supportive of the public finances. It was, however, largely driven by low interest rates rather than by economic growth.

Consequently, the negative ‘r g’ differential meant that the public sector could continue to run primary deficits during the 2010s, despite the now much higher debt-to-GDP ratio. Yet, weak growth was placing limits on this. Chart 4 indeed shows that primary deficits fell across the decade (click here for a PowerPoint).

The pandemic and beyond

The pandemic saw the ‘r g’ differential again turn markedly positive, averaging 7 percentage points in the four quarters from Q2 of 2020. While the differential again turned negative, the debt-to-GDP ratio had also increased substantially because of large-scale fiscal interventions. This made the negative differential even more important for the sustainability of the public finances. The question is how long the negative differential can last.

Looking forward, the fiscal arithmetic is indeed uncertain and worryingly is likely to be less favourable. Interest rates have risen and, although inflationary pressures may be easing somewhat, interest rates are likely to remain much higher than during the past decade. Geopolitical tensions and global fragmentation pose future inflationary concerns and a further drag on growth.

As well as the short-term concerns over growth, there remain long-standing issues of low productivity which must be tackled if the growth of the UK economy’s potential output is to be raised. These concerns all point to the important ‘r g’ differential become increasingly less negative, if not positive. If so the fiscal arithmetic could mean increasingly hard maths for policymakers.

Articles

Data

Questions

  1. What is meant by each of the following terms: (a) net borrowing; (b) primary deficit; (c) net debt?
  2. Explain how the following affect the path of the public-sector debt-to-GDP ratio: (a) interest rates; (b) economic growth; (c) the existing debt-to-GDP ratio.
  3. Which factors during the 2010s were affecting the fiscal arithmetic of public debt positively, and which negatively?
  4. Discuss the prospects for the fiscal arithmetic of public debt in the coming years.
  5. Assume that a country has an existing public-sector debt-to-GDP ratio of 60 percent.
    (a) Using the ‘rule of thumb’ for public debt dynamics, calculate the approximate primary balance it would need to run in the coming year if the expected average real interest rate on the debt were 3 per cent and real economic growth were 2 per cent?
    (b) Repeat (a) but now assume that real economic growth is expected to be 4 per cent.
    (c) Repeat (a) but now assume that the existing public-sector debt-to-GDP ratio is 120 per cent.
    (d) Using your results from (a) to (c) discuss the factors that affect the fiscal arithmetic of the growth of public-sector debt.

In his blog, The bond roller coaster, John looks at the pricing of government bonds and details how, in recent times, governments wishing to borrow by issuing new bonds are having to offer higher coupon rates to attract investors. The interest rate hikes by central banks in response to global-wide inflationary pressures have therefore spilt over into bond markets. Though this evidences the ‘pass through’ of central bank interest rate increases to the general structure of interest rates, it does, however, pose significant costs for governments as they seek to finance future budgetary deficits or refinance existing debts coming up to maturity.

The Autumn Statement in the UK is scheduled to be made on 22 November. This, as well as providing an update on the economy and the public finances, is likely to include a number of fiscal proposals. It is thus timely to remind ourselves of the size of recent discretionary fiscal measures and their potential impact on the sustainability of the public finances. In this first of two blogs, we consider the former: the magnitude of recent discretionary fiscal policy changes.

First, it is important to define what we mean by discretionary fiscal policy. It refers to deliberate changes in government spending or taxation. This needs to be distinguished from the concept of automatic stabilisers, which relate to those parts of government budgets that automatically result in an increase (decrease) of spending or a decrease (increase) in tax payments when the economy slows (quickens).

The suitability of discretionary fiscal policy measures depends on the objectives they trying to fulfil. Discretionary measures can be implemented, for example, to affect levels of public-service provision, the distribution of income, levels of aggregate demand or to affect longer-term growth of aggregate supply. As we shall see in this blog, some of the large recent interventions have been conducted primarily to support and stabilise economic activity in the face of heightened economic volatility.

Discretionary fiscal measures in the UK are usually announced in annual Budget statements in the House of Commons. These are normally in March, but discretionary fiscal changes can be made in the Autumn Statement too. The Autumn Statement of October 2022, for example, took on significant importance as the new Chancellor of the Exchequer, Jeremy Hunt, tried to present a ‘safe pair hands’ following the fallout and market turbulence in response to the fiscal statement by the former Chancellor, Kwasi Kwarteng, on 23 September that year.

The fiscal impulse

The large-scale economic turbulence of recent years associated first with the global financial crisis of 2007–9 and then with the COVID-19 pandemic and the cost-of-living crisis, has seen governments respond with significant discretionary fiscal measures. During the COVID-19 pandemic, examples of fiscal interventions in the UK included the COVID-19 Business Interruption Loan Scheme (CBILS), grants for retail, hospitality and leisure businesses, the COVID-19 Job Retention Scheme (better known as the furlough scheme) and the Self-Employed Income Support Scheme.

The size of discretionary fiscal interventions can be measured by the fiscal impulse. This captures the magnitude of change in discretionary fiscal policy and thus the size of the stimulus. The concept is not to be confused with fiscal multipliers, which measure the impact of fiscal changes on economic outcomes, such as real national income and employment.

By measuring fiscal impulses, we can analyse the extent to which a country’s fiscal stance has tightened, loosened, or remained unchanged. In other words, we are attempting to capture discretionary fiscal policy changes that result in structural changes in the government budget and, therefore, in structural changes in spending and/or taxation.

To measure structural changes in the public-sector’s budgetary position, we calculate changes in structural budget balances.

A budget balance is simply the difference between receipts (largely taxation) and spending. A budget surplus occurs when receipts are greater than spending, while a deficit (sometimes referred to as net borrowing) occurs if spending is greater than receipts.

A structural budget balance cyclically-adjusts receipts and spending and hence adjusts for the position of the economy in the business cycle. In doing so, it has the effect of adjusting both receipts and spending for the effect of automatic stabilisers. Another way of thinking about this is to ask what the balance between receipts and spending would be if the economy were operating at its potential output. A deterioration in a structural budget balance infers a rise in the structural deficit or fall in the structural surplus. This indicates a loosening of the fiscal stance. An improvement in the structural budget balance, by contrast, indicates a tightening.

The size of UK fiscal impulses

A frequently-used measure of the fiscal impulse involves the change in the cyclically-adjusted public-sector primary deficit.

A primary deficit captures the extent to which the receipts of the public sector fall short of its spending, excluding its spending on debt interest payments. It essentially captures whether the public sector is able to afford its ‘new’ fiscal choices from its receipts; it excludes debt-servicing costs, which can be thought of as reflecting fiscal choices of the past. By using a cyclically-adjusted primary deficit we are able to isolate more accurately the size of discretionary policy changes. Chart 1 shows the UK’s actual and cyclically-adjusted primary deficit as a share of GDP since 1975, which have averaged 1.3 and 1.1 per cent of GDP respectively. (Click here for a PowerPoint of the chart.)

The size of the fiscal impulse is measured by the year-on-year percentage point change in the cyclically-adjusted public-sector primary deficit as a percentage of potential GDP. A larger deficit or a smaller surplus indicates a fiscal loosening (a positive fiscal impulse), while a smaller deficit or a larger surplus indicates a fiscal tightening (a negative fiscal impulse).

Chart 2 shows the magnitude of UK fiscal impulses since 1980. It captures very starkly the extent of the loosening of the fiscal stance in 2020 in response to the COVID-19 pandemic. (Click here for a PowerPoint of the chart.) In 2020 the cyclically-adjusted primary deficit to potential output ratio rose from 1.67 to 14.04 per cent. This represents a positive fiscal impulse of 12.4 per cent of GDP.

A tightening of fiscal policy followed the waning of the pandemic. 2021 saw a negative fiscal impulse of 10.1 per cent of GDP. Subsequent tightening was tempered by policy measures to limit the impact on the private sector of the cost-of-living crisis, including the Energy Price Guarantee and Energy Bills Support Scheme.

In comparison, the fiscal response to the global financial crisis led to a cumulative increase in the cyclically-adjusted primary deficit to potential GDP ratio from 2007 to 2009 of 5.0 percentage points. Hence, the financial crisis saw a positive fiscal impulse of 5 per cent of GDP. While smaller in comparison to the discretionary fiscal responses to the COVID-19 pandemic, it was, nonetheless, a sizeable loosening of the fiscal stance.

Sustainability and well-being of the public finances

The recent fiscal interventions have implications for the financial well-being of the public-sector. Not least, the financing of the positive fiscal impulses has led to a substantial growth in the accumulated size of the public-sector debt stock. At the end of 2006/7 the public-sector net debt stock was 35 per cent of GDP; at the end of the current financial year, 2023/24, it is expected to be 103 per cent.

As we saw at the outset, in an environment of rising interest rates, the increase in the public-sector debt to GDP ratio creates significant additional costs for government, a situation that is made more difficult for government not only by the current flatlining of economic activity, but by the low underlying rate of economic growth seen since the financial crisis. The combination of higher interest rates and lower economic growth has adverse implications for the sustainability of the public finances and the ability of the public sector to absorb the effects of future economic crises.

Articles

Report

  • IFS Green Budget
  • Institute for Fiscal Studies, Carl Emmerson, Paul Johnson and Ben Zaranko (eds) (October 2023)

Data

Questions

  1. Explain what is meant by the following fiscal terms: (a) structural deficit; (b) automatic stabilisers; (c) discretionary fiscal policy; (d) primary deficit.
  2. What is the difference between current and capital public expenditures? Give some examples of each.
  3. Consider the following two examples of public expenditure: grants from government paid to the private sector for the installation of energy-efficient boilers, and welfare payments to unemployed people. How are these expenditures classified in the public finances and what fiscal objectives do you think they meet?
  4. Which of the following statements about the primary balance is FALSE?
    (a) In the presence of debt interest payments a primary deficit will be smaller than a budget deficit.
    (b) In the presence of debt interest payments a primary surplus will be smaller than a budget surplus.
    (c) The primary balance differs from the budget balance by the size of debt interest payments.
    (d) None of the above.
  5. Explain the difference between a fiscal impulse and a fiscal multiplier.
  6. Why is low economic growth likely to affect the sustainability of the public finances? What other factors could also matter?

To finance budget deficits, governments have to borrow. They can borrow short-term by issuing Treasury bills, typically for 1, 3 or 6 months. These do not earn interest and hence are sold at a discount below the face value. The rate of discount depends on supply and demand and will reflect short-term market rates of interest. Alternatively, governments can borrow long-term by issuing bonds. In the UK, these government securities are known as ‘gilts’ or ‘gilt-edged securities’. In the USA they are known as ‘treasury bonds’, ‘T-bonds’ or simply ‘treasuries’. In the EU, countries separately issue bonds but the European Commission also issues bonds.

In the UK, gilts are issued by the Debt Management Office on behalf of the Treasury. Although there are index-linked gilts, the largest proportion of gilts are conventional gilts. These pay a fixed sum of money per annum per £100 of face value. This is known as the ‘coupon payment’ and the rate is set at the time of issue. The ‘coupon rate’ is the payment per annum as a percentage of the bond’s face value:


Payments are made six-monthly. Each issue also has a maturity date, at which point the bonds will be redeemed at face value. For example, a 4½% Treasury Gilt 2028 bond has a coupon rate of 4½% and thus pays £4.50 per annum (£2.25 every six months) for each £100 of face value. The issue will be redeemed in June 2028 at face value. The issue was made in June 2023 and thus represented a 5-year bond. Gilts are issued for varying lengths of time from 2 to 55 years. At present, there are 61 different conventional issues of bonds, with maturity dates varying from January 2024 to October 2073.

Bond prices

Bonds can be sold on the secondary market (i.e. the stock market) before maturity. The market price, however, is unlikely to be the coupon price (i.e. the face value). The lower the coupon rate relative to current interest rates, the less valuable the bond will be. For example, if interest rates rise, and hence new bonds pay a higher coupon rate, the market price of existing bonds paying a lower coupon rate must fall. Thus bond prices vary inversely with interest rates.

The market price also depends on how close the bonds are to maturity. The closer the maturity date, the closer the market price of the bond will be to the face value.

Bond yields: current yield

A bond’s yield is the percentage return that a person buying the bond receives. If a newly issued bond is bought at the coupon price, its yield is the coupon rate.

However, if an existing bond is bought on the secondary market (the stock market), the yield must reflect the coupon payments relative to the purchase price, not the coupon price. We can distinguish between the ‘current yield’ and the ‘yield to maturity’.

The current yield is the coupon payment as a percentage of the current market price of the bond:


Assume a bond were originally issued at 2% (its coupon rate) and thus pays £2 per annum. In the meantime, however, assume that interest rates have risen and new bonds now have a coupon rate of 4%, paying £4 per annum for each £100 invested. To persuade people to buy old bonds with a coupon rate of 2%, their market prices must fall below their face value (their coupon price). If their price halved, then they would pay £2 for every £50 of their market price and hence their current yield would be 4% (£2/£50 × 100).

Bond yields: yield to maturity (YTM)

But the current yield does not give the true yield – it is only an approximation. The true yield must take into account not just the market price but also the maturity value and the length of time to maturity (and the frequency of payments too, which we will ignore here). The closer a bond is to its maturity date, the higher/lower will be the true yield if the price is below/above the coupon price: in other words, the closer will the market price be to the coupon price for any given market rate of interest.

A more accurate measure of a bond’s yield is thus the ‘yield to maturity’ (YTM). This is the interest rate which makes the present value of all a bond’s future cash flows equal to its current price. These cash flows include all coupon payments and the payment of the face value on maturity. But future cash flows must be discounted to take into account the fact that money received in the future is worth less than money received now, since money received now could then earn interest.

The yield to maturity is the internal rate of return (IRR) of the bond. This is the discount rate which makes the present value (PV) of all the bond’s future cash flows (including the maturity payment of the coupon price) equal to its current market price. For simplicity, we assume that coupon payments are made annually. The formula is the one where the bond’s current market price is given by:


Where: t is the year; n is the number of years to maturity; YTM is the yield to maturity.

Thus if a bond paid £5 each year and had a maturity value of £100 and if current interest rates were higher than 5%, giving a yield to maturity of 8%, then the bond price would be:


In other words, with a coupon rate of 5% and a higher YTM of 8%, the bond with a face value of £100 and five years to maturity would be worth only £88.02 today.

If you know the market price of a given bond, you can work out its YTM by substituting in the above formula. The following table gives examples.


The higher the YTM, the lower the market price of a bond. Since the YTM reflects in part current rates of interest, so the higher the rate of interest, the lower the market price of any given bond. Thus bond yields vary directly with interest rates and bond prices vary inversely. You can see this clearly from the table. You can also see that market bond prices converge on the face value as the maturity date approaches.

Recent activity in bond markets

Investing in government bonds is regarded as very safe. Coupon payments are guaranteed, as is repayment of the face value on the maturity date. For this reason, many pension funds hold a lot of government bonds issued by financially trustworthy governments. But in recent months, bond prices in the secondary market have fallen substantially as interest rates have risen. For those holding existing bonds, this means that their value has fallen. For governments wishing to borrow by issuing new bonds, the cost has risen as they have to offer a higher coupon rate to attract buyers. This make it more expensive to finance government debt.

The chart shows the yield on 10-year government bonds. It is calculated using the ‘par value’ approach. This gives the coupon rate that would have to be paid for the market price of a bond to equal its face value. Clearly, as interest rates rise, a bond would have to pay a higher coupon rate for this to happen. (This, of course, is only hypothetical to give an estimate of market rates, as coupon rates are fixed at the time of a bond’s issue.)

Par values reflect both yield to maturity and also expectations of future interest rates. The higher people expect future interest rates to be, the higher must par values be to reflect this.

In the years following the financial crisis of 2007–8 and the subsequent recession, and again during the COVID pandemic, central banks cut interest rates and supported this by quantitative easing. This involved central banks buying existing bonds on the secondary market and paying for them with newly created (electronic) money. This drove up bond prices and drove down yields (as the chart shows). This helped support the policy of low interest rates. This was a boon to governments, which were able to borrow cheaply.

This has all changed. With quantitative tightening replacing quantitative easing, central banks have been engaging in asset sales, thereby driving down bond prices and driving up yields. Again, this can be seen in the chart. This has helped to support a policy of higher interest rates.

Problems of higher bond yields/lower bond prices

Although lower bond prices and higher yields have supported a tighter monetary policy, which has been used to fight inflation, this has created problems.

First, it has increased the cost of financing government debt. In 2007/8, UK public-sector net debt was £567bn (35.6% of GDP). The Office for Budget Responsibility forecasts that it will be £2702bn (103.1% of GDP in the current financial year – 2023/24). Not only, therefore, are coupon rates higher for new government borrowing, but the level of borrowing is now a much higher proportion of GDP. In 2020/21, central government debt interest payments were 1.2% of GDP; by 2022/23, they were 4.4% (excluding interest on gilts held in the Bank of England, under the Asset Purchase Facility (quantitative easing)).

In the USA, there have been similar increases in government debt and debt interest payments. Debt has increased from $9tn in 2007 to $33.6tn today. Again, with higher interest rates, debt interest as a percentage of GDP has risen: from 1.5% of GDP in 2021 to a forecast 2.5% in 2023 and 3% in 2024. What is more, 31 per cent of US government bonds will mature next year and will need refinancing – at higher coupon rates.

There is a similar picture in other developed countries. Clearly, higher interest payments leave less government revenue for other purposes, such as health and education.

Second, many pension funds, banks and other investment companies hold large quantities of bonds. As their price falls, so this reduces the value of these companies’ assets and makes it harder to finance new purchases, or payments or loans to customers. However, the fact that new bonds pay higher interest rates means that when existing bond holdings mature, the money can be reinvested at higher rates.

Third, bonds are often used by companies as collateral against which to borrow and invest in new capital. As bond prices fall, this can hamper companies’ ability to invest, which will lead to lower economic growth.

Fourth, higher bond yields divert demand away from equities (shares). With equity markets falling back or at best ceasing to rise, this erodes the value of savings in equities and may make it harder for firms to finance investment through new issues.

At the core of all these problems is inflation and budget deficits. Central banks have responded by raising interest rates. This drives up bond yields and drives down bond prices. But bond prices and yields depend not just on current interest rates, but also on expectations about future interest rates. Expectations currently are that budget deficits will be slow to fall as governments seek to support their economies post-COVID. Also expectations are that inflation, even though it is falling, is not falling as fast as originally expected – a problem that could be exacerbated if global tensions increase as a result of the ongoing war in Ukraine, the Israel/Gaza war and possible increased tensions with China concerning disputes in the China Sea and over Taiwan. Greater risks drive up bond yields as investors demand a higher interest premium.

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Questions

  1. Why do bond prices and bond yields vary inversely?
  2. How are bond yields and prices affected by expectations?
  3. Why are ‘current yield’ and ‘yield to maturity’ different?
  4. What is likely to happen to bond prices and yields in the coming months? Explain your reasoning.
  5. What constraints do bond markets place on fiscal policy?
  6. Would it be desirable for central banks to pause their policy of quantitative tightening?