Tag: government debt

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The bond roller coaster

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.

Articles

Information and data

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?
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MMT – a Magic Money Tree or Modern Monetary Theory?

Is there a ‘magic money tree’? Is it desirable for central banks to create money to finance government deficits?

The standard thinking of conservative governments around the world is that creating money to finance deficits will be inflationary. Rather, governments should attempt to reduce deficits. This will reduce the problem of government expenditure crowding out private expenditure and reduce the burden placed on future generations of having to finance higher government debt.

If deficits rise because of government response to an emergency, such as supporting people and businesses during the Covid-19 pandemic, then, as soon as the problem begins to wane, governments should attempt to reduce the higher deficits by raising taxes or cutting government expenditure. This was the approach of many governments, including the Coalition and Conservative governments in the UK from 2010, as econommies began to recover from the 2007/8 financial crisis.

‘Modern Monetary Theory‘ challenges these arguments. Advocates of the theory support the use of higher deficits financed by monetary expansion if the money is spent on things that increase potential output as well as actual output. Examples include spending on R&D, education, infrastructure, health and housing.

Modern monetary theorists still accept that excess demand will lead to inflation. Governments should therefore avoid excessive deficits and central banks should avoid creating excessive amounts of money. But, they argue that inflation caused by excess demand has not been a problem for many years in most countries. Instead, we have a problem of too little investment and too little spending generally. There is plenty of scope, they maintain, for expanding demand. This, if carefully directed, can lead to productivity growth and an expansion of aggregate supply to match the rise in aggregate demand.

Government deficits, they argue, are not intrinsically bad. Government debt is someone else’s assets, whether in the form of government bonds, savings certificates, Treasury bills or other instruments. Provided the debt can be serviced at low interest rates, there is no problem for the government and the spending it generates can be managed to allow economies to function at near full capacity.

The following videos and articles look at modern monetary theory and assess its relevance. Not surprisingly, they differ in their support of the theory!

Videos

Articles

Questions

  1. Compare traditional Keynesian economics and modern monetary theory.
  2. Using the equation of exchange, MV = PY, what would a modern monetary theorist say about the effect of an expansion of M on the other variables?
  3. What is the role of fiscal policy in modern monetary theory?
  4. What evidence might suggest that money supply has been unduly restricted?
  5. When, according to modern monetary theory, is a rising government deficit (a) not a problem; (b) a problem?
  6. Is there any truth in the saying, ‘There’s no such thing as a magic money tree’?
  7. Provide a critique of modern monetary theory.
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Scope for expansionary fiscal policy?

With the UK parliament in Brexit gridlock, the Labour opposition is calling for a general election. Although its policy over Brexit and a second referendum is causing splits in the party, the Labour party is generally agreed that pubic expenditure on health, education and transport infrastructure needs to increase – that there needs to be an end to fiscal austerity. However, to fund extra public expenditure would require an increase in taxes and/or an increase in government borrowing.

One of the arguments against increasing government borrowing is that it will increase public-sector debt. The desire to get public-sector debt down as a percentage of GDP has been central to both the Coalition and Conservative governments’ economic strategy. Austerity policies have been based on this desire.

But, in the annual presidential address to the American Economics Association, former chief economist at the IMF, Olivier Blanchard, criticised this position. He has argued for several years that cutting government deficits may weaken already weak economies and that this may significantly reduce tax revenues and potential national income, thereby harming recovery and doing long-term economic damage. Indeed, the IMF has criticised excessively tight fiscal policies for this reason.

In his presidential address, he expanded the argument to consider whether an increase in government borrowing will necessarily increase the cost of servicing government debt. When the (nominal) interest rate (r) on government borrowing is below the nominal rate of economic growth (gn), (r < gn), then even if total debt is not reduced, it is likely that the growth in tax revenues will exceed the growth in the cost of servicing the debt. Debt as a proportion of GDP will fall. The forecast nominal growth rate exceeds the 10-year nominal rate on government bonds by 1.3% in the USA, 2.2% in the UK and 1.8% in the eurozone. In fact, with the exception of a short period in the 1980s, nominal growth (gn) has typically exceeded the nominal interest rate on government borrowing (r) for decades.

When r < gn, this then gives scope for increasing government borrowing to fund additional government spending without increasing the debt/GDP ratio. Indeed, if that fiscal expansion increases both actual and potential income, then growth over time could increase, giving even more scope for public investment.

But, of course, that scope is not unlimited.

Articles

Presidential Address

Questions

  1. What do you understand by ‘fiscal illusion’?
  2. What is the justification for reducing government debt as a proportion of GDP?
  3. What are the arguments against reducing government debt as a proportion of GDP?
  4. Explain the significance of the relationship between r and gn for fiscal policy and the levels of government debt, government borrowing and the government debt/GDP ratio.
  5. Under what circumstances would a rise in the budget deficit not lead to a rise in government debt as a proportion of GDP?
  6. Does Blanchard’s analysis suggest that a combination of both loose monetary policy and loose fiscal policy is desirable?
  7. Under Blanchard’s analysis, what would limit the amount that governments should increase spending?
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Cloudy skies ahead?

Now here’s a gloomy article from Robert Peston. He’s been looking at investors’ views about the coming years and sees a general pessimism about the prospects for long-term economic growth. And that pessimism is becoming deeper.

It is true that both the UK and the USA have recorded reasonable growth rates in recent months and do seem, at least on the surface, to be recovering from recession. But, according to investor behaviour, they:

seem to be saying, in how they place their money, that the UK’s and USA’s current reasonably rapid growth will turn out to be a short-lived period of catch-up, following the deep recession of 2008-9.

So what is it about investor behaviour that implies a deep pessimism and are investors right to be pessimistic? The article explores these issues. It does also look at an alternative explanation that investors may merely be being cautious until a clearer picture emerges about long-term growth prospects – which may turn out to be better that many currently now predict.

The article finishes by looking at a possible solution to the problem (if you regard low or zero growth as a problem). That would be for the government to ‘throw money at investment in infrastructure – to generate both short-term growth and enhance long-term productive potential.’

Note that Elizabeth also looks at this article in her blog The end of growth in the west?.

The end of growth in the West? BBC News, Robert Peston (26/9/14)

Questions

  1. What is meant by the ’25-year yield curve for government bonds’? Why does this yield curve imply a deep level of business pessimism about the long-term prospects for UK economic growth?
  2. What are the determinants of long-term economic growth?
  3. Looking at these determinants, which ones suggest that long-term economic growth may be low?
  4. Are there any determinants which might suggest that economic growth will be maintained over the long term at historical levels of around 2.6%?
  5. Do demand-side policies affect potential GDP and, if so, how?
  6. What policies could government pursue to increase the rate of growth in potential GDP?
  7. What current ‘dramas’ affecting the world economy could have long-term implications for economic growth? How does uncertainty about the long-term implications for the global economy of such dramas itself affect economic growth?
  8. Is long-term growth in real GDP an appropriate indicator of (a) economic development and (b) long-term growth in general well-being?
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The end of growth in the West?

The growth rates of the Western world have been somewhat volatile for the past decade, with negative growth sending economies into recession and then varying degrees of economic recovery. Growth rates elsewhere have been very high, in particular in countries such as China and India. The future of economic growth in the west is hotly debated and whether the western world has been forever changed by the credit crunch remains to be seen.

The article below from the BBC, written by Robert Peston, the Economics Editor, addresses the question of the future of the western world. Opinions differ as to whether the west is finally recovering from the recession and financial instability or if the credit crunch and subsequent recession is just the beginning of many years of economic stagnation. The article in particular focuses on the yield curve and the trends in government debt or gilts. This tends to be a key indicator of the expectations of the future of an economy and how confident investors are in its likely trajectory. Though technical in places, this article provides some interesting stances on what we might expect in the coming 2-3 decades for economic performance in the West.

Note that John also looks at this article in his blog Cloudy Skies Ahead?

The end of growth in the West? BBC News, Robert Peston (26/9/14)

Questions

  1. Which factors affect the economic growth of a nation?
  2. Confidence from consumers, firms and investors is always argued to be crucial to the future economic growth and in many cases, the recovery of an economy. Explain why this factor is so important.
  3. What is the yield curve and what does it show?
  4. How can the yield curve be used to offer predictions about the future strength of an economy?
  5. Why are governments seen as the safest place to lend?
  6. If Larry Summers is correct in saying that it is a negative equilibrium interest rate that is needed to generate full employment growth, what does this suggest about the future economic performance of the western world?
  7. In the article, there is a list of some of the key things that make investors anxious. Review each of these factors and explain why it is so important in generating anxiety.