Tag: government debt

On 25 October 2024, Moody’s, one of the major credit ratings agencies, announced that it was downgrading France’s economic outlook to negative. This was its first downgrading of France since 2012. It followed a similar revision by Fitch’s, another ratings agency, on 11 October.

While Fitch’s announcement did not have a significant impact on the yields of French government bonds, expectations around Moody’s did. In the week preceding the announcement, the net increases in the yield on generic 10-year government debt was approximately 9 basis points (0.09 percentage points). On the day itself, the yield rose by approximately 5.6 basis points (0.056 percentage points).

The yield rose further throughout the rest of October, finishing nearly 0.25 percentage points above its level at the start of the month. However, as Figure 1 illustrates, these increases are part of a longer-term trend of rising yields for French government debt (click here for a PowerPoint).

The yield on 10-year French government debt began 2024 at 2.56% and had an upward trend for the first half of the year. The yield peaked at 3.34% on 1 July. It then fell back below 3% for a while. The negative economic outlook then pushed yields back above 3% and they finished October at 3.12%, half a percentage point above the level at the start of the year. This represents a significant increase in borrowing costs for the French government.

In this blog, we will explain why the changes in France’s economic outlook translate into increases in yields for French government bonds. We will also analyse why yields have increased and examine the prospects for the markets in French government bonds.

Pricing signals of bond yields

A bond is a tradable debt instrument issued by governments to finance budget deficits – the difference between tax receipts and spending. Like any financial instruments, investment in bonds involves a commitment of funds today in anticipation of interest payments through time as compensation, with a repayment of its redemption value on the date the bond matures.

Since the cash flows associated with holding a bond occur at different points in time, discounted cash flow analysis is used to determine its value. This gives the present value of the cash flows discounted at the appropriate expected rate of return. In equilibrium this will be equal to the bond’s market price, as the following equation shows.

Where:
    P = the equilibrium price of the bond
    C = cash coupon payments
    M = redemption value at maturity
    r = yield (expected rate of return in equilibrium.

Interest payments tend to be fixed at the time a bond is issued and reflect investors’ expected rate of return, expressed as the yield in bond markets. This is determined by prevailing interest rates and perceived risk. Over time, changes in interest rates and perceptions of risk will change the expected rate of return (yield), which will, in turn, change the present value of the cash flows, and hence fundamental value.

Prices move in response to changes in fundamental value and since this happens frequently, this means that prices change a lot. For bonds, as the coupon payments (C each year and the redemption price () are fixed, the only factor that can change is the expected rate of return (yield). This is reflected in the observed yield at each price.

If the expected rate of return rises, this increases the discount rate applied to future cash flows and reduces their present value. At the current price, the fixed coupon is not sufficient to compensate investors. So, investors sell the bonds and price falls until it reaches a point where the yield offered is equal to that required. The reverse happens if the expected rate of return falls.

The significant risk associated with bonds is credit default risk – the risk that the debt will not be repaid. The potential for credit default is a significant influence of the compensation investors require for holding debt instruments like bonds (ceteris paribus). An increase in expected credit default risk will increase the expected return (compensation). This will be reflected in a lower price and higher yield.

Normally, with the bonds issued by high-income countries, such as those in Europe and North America, the risk of default is extremely low. However, if a country’s annual deficits or accumulated debt increase to what markets consider to be unsustainable levels, the perceived risk of default may rise. Countries’ levels of risk are rated by international ratings agencies, such as Moody’s and Fitch. Investors pay a lot of attention to the information provided by such agencies.

Moody’s downgrade in its economic outlook for France from ‘stable’ to ‘negative’ indicated weak economic performance and higher credit default risk. This revision rippled through bond markets as investors adjusted their views of the country’s economic risk. The rise in yields observed is a signal that bond investors perceive higher credit default risk associated with French government debt and are demanding a higher rates of return as compensation.

Why has France’s credit default risk premium risen now?

As we have seen, credit default risk is not normally considered a significant issue for sovereign borrowers like France. Some of the issue around perceived credit default risk for the French government relate to the size of the French government’s deficit and the projections for it. Following a spike in borrowing associated with the COVID-19 pandemic in 2020, the annual government budget deficit and the overall level of debt as percentages of GDP have remained high. The annual deficit is projected to be 6% for 2024 and still 5% for 2025. The ratio of outstanding French government debt to Gross Domestic Product (GDP) ballooned to 123% in 2020 and is still expected to be 115% by the end of 2025. France has been put on notice to reduce its debt towards the Eurozone limit of 60% of GDP.

Governments in France last achieved a balanced budget in 1974. They have run deficits ever since. Figure 2 illustrates the French government budget deficits from 1990 to 2023 (click here for a PowerPoint). The figure shows that France experienced deficits in the past similar to today’s. These, however, did not tend to worry bond markets too much.

So why are investors currently worried? This stems from France’s debt mountain and from concerns that the government will not be able to deal with it. Investors are concerned that both weak growth and increasingly volatile politics will thwart efforts to reduce debt levels.

Let’s take growth. Even by contemporary European standards, France’s growth prospects are anaemic. GDP is expected to grow by just 1.1% for 2024 and 1% for 2025. Both consumer and business confidence are low. None of this suggests a growth spurt soon which will boost the tax revenues of the French government sufficiently to address the deficit.

Further, political instability has grown due to the inconclusive parliamentary elections which Emmanuel Macron surprisingly called in July. No single political grouping has a majority and the President has appointed a Centrist Prime Minister, Michel Barnier (the former EU Brexit negotiator). His government is trying to pass a budget through the Assemblée Nationale involving a mixture of spending cuts and tax hikes which amount to savings of €60 billion ($66 billion). This is equivalent to 2% of GDP.

The parliamentary path of the budget bill is set to be torturous with both the left and right wing blocs in the Assemblée opposing most of the provisions. Debate in the Assemblée Nationale and Senate are expected to drag on into December, with the real prospect that the government may have to use presidential decree to pass the budget. Commentators argue that this will fuel further political chaos.

France looks more like Southern Europe

In the past, bond investors were more tolerant of France’s budget deficits. French government bonds were attractive options for investors wanting to hold euro-denominated bonds while avoiding riskier Southern European countries such as Greece, Italy, Portugal and Spain. Since France has run persistent government deficits for a long time, it offered bond investors a more liquid market than more fiscally-parsimonious Northern European neighbours, such as Germany and the Netherlands. Consequently, France’s debt instruments offered a slight risk premium on the yields for those countries.

However, that has changed. France’s credit default risk premium is rising to levels comparable to its Southern neighbours. On 26 September 2024, the yield on generic French government 10-year debt rose above its Spanish equivalent for the first time since 2008.

As Figure 3 illustrates, this was the culmination of a trend evident throughout 2024, with the difference in yields between the two declining steadily (click here for a PowerPoint). At the start of the year, the yield on Spanish debt offered a 40 basis points premium over the French equivalent. By October, the yield on Spanish debt was consistently below that of French debt. All of this is due to bond investors’ rising expectations about France’s credit default risk. Now, France’s borrowing costs are not only above Spain, but also closer to those of Greece and Italy than of Germany.

Strikingly, Spain’s budget deficit was 3.5% in 2023 and is expected to narrow to 2.6% by 2025. The percentage of total debt to GDP is 104% and falling. Moreover, following Spain’s inconclusive election in 2023, the caretaker government put forward budgetary plans involving fiscal tightening without the need for legislation. This avoided the political wrangling France is facing.

For France, these developments raise the prospect of yields rising further as bond investors now see alternatives to French government debt in the form of Spain’s. This country have already undertaken the painful fiscal adjustments that France seems incapable of completing.

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Questions

  1. What is credit default risk?
  2. Explain why higher credit default risk is associated with higher yields on France’s government debt.
  3. Why would low economic growth worsen the government’s budget deficit?
  4. Why would political instability increase credit default risk?
  5. What has happened to investors’ perceptions of the risk associated with French government debt relative to Spain’s?
  6. How has this manifested itself in the relative yields of the two countries’ government debt?

Gold has always held an allure and with the price of gold on international markets trending upwards since October 2022 (see Figure 1: click here for a PowerPoint), people seem to be attracted to it once again. The price reached successively higher peaks throughout 2023 before surging to above $2300 per oz in 2024 and peaking at $2425.31 per oz on 20 May 2024.

While gold tends to become attractive during wartime, economic uncertainty and bouts of inflation, all of which have characterised the last few years, the sustained price rise has perplexed market analysts and economists. The rally had been expected to peter out over the past 20 months. But, as the price of gold rose to sustained higher levels, with no significant reversals, some analysts have speculated that it is not the typical short-term factors which are driving the increased demand for and price of gold but more fundamental changes in the global economic system.

This blog will first discuss the typical short-term factors which influence gold prices before discussing the potential longer-term forces that may be at work.

Short-term factors

So, what are the typical short-term economic forces which drive the demand for gold?

The most significant are the real rates of interest on financial assets. These rates represent the opportunity cost of holding an asset such as gold which offers no income stream. When the real return from financial assets like debt and equity instruments is low, the demand for and price of gold tends to be high. In contrast, when the real return from such assets is high, the price of gold tends to be lower. An explanation for this is that real rates of return are strongly related to inflation rates and investors perceive gold as a hedge against inflation since its price is positively correlated with a general rise in prices. Higher unexpected inflation reduces the real rate of return of securities like debt and equity whose value is derived from cash flows anticipated in the future. In such circumstances, gold become an attractive alternative investment. As inflationary expectations decline, real returns from financial assets should rise, and the demand for gold should fall.

The relationship between real returns, proxied by the yield on US 10-year TIPS (Treasury inflation-protected securities), and gold prices can be used to examine this explanation. Real returns rose steadily in the aftermath of the COVID-19 pandemic. Yet the price of gold, which rose during the early stages of the pandemic in 2020, has not fallen. Instead, it has remained at elevated levels for much of that time (see Figure 2: click here for a PowerPoint).

There have been short periods when changes in real returns seemed to have a high correlation with changes in gold prices. In late 2022, for example, falling real rates coincided with rising gold prices. The same pattern was repeated between October and December 2023. However, when real returns rose again in the New Year of 2024, in response to stubbornly higher expected inflation and the expectation of ‘higher-for-longer’ interest rates, particularly in the USA, gold prices continued to rise. Indeed, across the 5-year period the correlation coefficient between the two series is actually positive at 0.268, showing little evidence supporting this explanation for the pattern for the gold price.

Real returns in the USA, however, may not be the correct ones to consider when seeking explanations for the pattern of gold’s price. Much of the recent demand is from China. Analysts suggest that Chinese investors are looking for a safe asset to hold as their economy stagnates and real returns from alternatives, like domestic property and equity, have decreased. Further, there are some concerns that the Chinese currency, the renminbi, may be undervalued in response to the sluggish growth. Holding gold is a good hedge against inflation (currency depreciation produces inflationary pressure). Consequently, the Chinese market may be exerting pricing power in relation to real returns in a way not seen before (see the Dempsey and Leng FT article linked below).

However, some analysts suggest that the rise in price is disproportionate to these short-term factors and point to potential long-term structural changes in the global financial order which may produce significant changes in the market for gold.

Long-term factors

Since 2018, there have been bouts of gold purchasing by central banks around the world. In contrast to the 1990s and 2000s, central banks have been net purchasers since 2010. The purchasing fell back during the coronavirus pandemic but has surged again, with over 1000 metric tonnes purchased in both 2022 and 2023 (see Figure 3: click here for a PowerPoint).

Analysts have pointed to similarities between the recent pattern and central bank purchases of gold during the late 1960s and early 1970s (see The Conversation article linked below). Then, central banks sought to diversify themselves from dollar-denominated assets due to concerns about higher inflation in the USA and its impact on the value of the US dollar. Under the Bretton Woods fixed exchange rate system, central banks could redeem dollars for gold from the US Federal Reserve at a fixed rate. The pressure on the USA to redeem the gold led to the collapse of the Bretton Woods fixed exchange rate system.

While the current period of central bank purchases does not appear to be related to expected inflation, some commentators suggest it could signal a regime change in the global financial system as significant as the collapse of Bretton Woods. The rise of Chinese political power and the resurgence of US isolationist tendencies portend an increasingly multipolar geopolitical scene. Such concerns may cause central bankers to diversify away from dollar denominated assets to avoid being caught out by geopolitical tensions. Gold may be perceived as an asset through which investors can hedge that risk better.

Indeed, the rise in demand among Chinese investors may indicate a reluctance to hold US assets due to their risk of seizure during heightened geopolitical tensions between China and the USA. Chinese holdings of US financial assets as a percentage of GDP are back to the level they were  when the country joined the World Trade Organisation (WTO) in 2001 (see the Rana Foroohar FT article linked below). Allied to this is an increasing tendency to repatriate gold bullion from centres such as London and New York.

Added to these worries about geopolitical risk are concerns about traditional safe-haven assets – government debt securities. US government budget deficits and debt levels continue to rise. Similar patterns are observed across many developed market economies (DMEs). Analysts are concerned such debts are reaching unsustainable levels (economist.com). The view is that at some point, perhaps soon, a tipping point will be reached where investors recognise this. They will demand higher rates of return on these government debt securities, pushing yields up and prices down (bond yields and prices have a negative relationship).

In expectation of this, investors may be wary of holding such government debt securities and move to hold gold as an alternative safe-haven asset to avoid potential capital losses. However, there has been no sign of this behaviour in bond prices and yields yet.

Finally, there are economists who argue that the increased demand for gold is caused by a different regime-change in the global economy. This is not one driven by geopolitics, but by changing inflationary expectations – from a low-inflation, low-interest-rate environment to a higher-inflation, higher-interest-rate environment.

Some of the anticipation relating to inflation is derived from the persistent fiscal stimulus, evidenced by the higher government debt levels described above, coupled with the long period of monetary stimulus (quantitative easing) in developed market economies during the 2010s.

Further, some economists highlight the substantial capital investment needed for the green transition and reindustrialisation. While the financing for this capital investment may absorb some of the excess money flowing around financial markets, the scale involved will create a great demand for resources, fuelling inflation and raising the cost of capital as borrowers compete for resources.

Finally, the demographic forces from an aging population will also cause inflationary pressures. Rising dependency ratios across many developed market economics will create shortages, particularly of labour. This persistent scarcity of labour will continually drive up wages and prices, fuelling inflation and the demand for gold.

Conclusion

The recent surge in the price of gold has led to great interest by investors, financial market analysts and economists. At first, there was a perception that the price increase was similar to recent history and driven by short-term decreases in the real rate of return from financial assets, which reduced the opportunity cost of holding gold.

However, as the upward trend in the price of gold has persisted and does not seem to be explained by changes in real interest rates, economists have considered other reasons that might signal longer-term significant changes in the global financial system. These relate to changing geopolitical risk derived from an increasingly multipolar environment, concerns about the sustainability of government debt levels and expectations of persistently higher inflation in the world economy.

Only time will tell whether these explanations prove correct. If inflationary pressures subside, particularly in the USA, and if real returns from financial assets rebound, a decrease in the demand for and price of gold will suggest that the previous rise was driven by short-term forces.

If prices don’t fall back, it will only fuel the debate that it is a sign of significant changes in the global financial order.

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Questions

  1. Explain the relationship between real returns and inflation for financial securities like debt and equity.
  2. Why is gold perceived to be an effective hedge against inflation?
  3. Contrast the factors which influenced the demand for gold in the period which preceded the end of Bretton Woods with those influencing demand now?
  4. What has happened to the price of gold since this blog was published? Is there any evidence for the profound changes in the global economic order suggested or was it the short-term forces driving demand after all?

According to the IMF, Chinese GDP grew by 5.2% in 2023 and is predicted to grow by 4.6% this year. Such growth rates would be extremely welcome to most developed countries. UK growth in 2023 was a mere 0.5% and is forecast to be only 0.6% in 2024. Advanced economies as a whole only grew by 1.6% in 2023 and are forecast to grow by only 1.5% this year. Also, with the exception of India, the Philippines and Indonesia, which grew by 6.7%, 5.3% and 5.0% respectively in 2023 and are forecast to grow by 6.5%, 6.0% and 5.0% this year, Chinese growth also compares very favourably with other developing countries, which as a weighted average grew by 4.1% last year and are forecast to grow at the same rate this year.

But in the past, Chinese growth was much higher and was a major driver of global growth. Over the period 1980 to 2018, Chinese economic growth averaged 9.5% – more than twice the average rate of developing countries (4.5%) and nearly four times the average rate of advanced countries (2.4%) (see chart – click here for a PowerPoint of the chart).

Not only is Chinese growth now much lower, but it is set to decline further. The IMF forecasts that in 2025, Chinese growth will have fallen to 4.1% – below the forecast developing-country average of 4.2% and well below that of India (6.5%).

Causes of slowing Chinese growth

There are a number of factors that have come together to contribute to falling economic growth rates – growth rates that otherwise would have been expected to be considerably higher as the Chinese economy reopened after severe Covid lockdowns.

Property market
China has experienced a property boom over the past 20 years years as the government has encouraged construction in residential blocks and in factories and offices. The sector has accounted for some 20% of economic activity. But for many years, demand outstripped supply as consumers chose to invest in property, partly because of a lack of attractive alternatives for their considerable savings and partly because property prices were expected to go on rising. This lead to speculation on the part of both buyers and property developers. Consumers rushed to buy property before prices rose further and property developers borrowed considerably to buy land, which local authorities encouraged, as it provided a valuable source of revenue.

But now there is considerable overcapacity in the sector and new building has declined over the past three years. According to the IMF:

Housing starts have fallen by more than 60 per cent relative to pre-pandemic levels, a historically rapid pace only seen in the largest housing busts in cross-country experience in the last three decades. Sales have fallen amid homebuyer concerns that developers lack sufficient financing to complete projects and that prices will decline in the future.

As a result, many property developers have become unviable. At the end of January, the Chinese property giant, Evergrande, was ordered to liquidate by a Hong Kong court, after the judge ruled that the company did not have a workable plan to restructure around $300bn of debt. Over 50 Chinese property developers have defaulted or missed payments since 2020. The liquidation of Evergrande and worries about the viability of other Chinese property developers is likely to send shockwaves around the Chinese property market and more widely around Chinese investment markets.

Overcapacity
Rapid investment over many years has led to a large rise in industrial capacity. This has outstripped demand. The problem could get worse as investment, including state investment, is diverted from the property sector to manufacturing, especially electric vehicles. But with domestic demand dampened, this could lead to increased dumping on international markets – something that could spark trade wars with the USA and other trading partners (see below). Worries about this in China are increasing as the possibility of a second Trump presidency looks more possible. The Chinese authorities are keen to expand aggregate demand to tackle this overcapacity.

Uncertainty
Consumer and investor confidence are low. This is leading to severe deflationary pressures. If consumers face a decline in the value of their property, this wealth effect could further constrain their spending. This will, in turn, dampen industrial investment.

Uncertainty is beginning to affect foreign companies based in China. Many foreign companies are now making a loss in China or are at best breaking even. This could lead to disinvestment and add to deflationary pressures.

The Chinese stock market and policy responses
Lack of confidence in the Chinese economy is reflected in falling share prices. The Shanghai SSE Composite Index (an index of all stocks traded on the Shanghai Stock Exchange) has fallen dramatically in recent months. From a high of 3703 in September 2021, it had fallen to 2702 on 5 Feb 2024 – a fall of 27%. It is now below the level at the beginning of 2010 (see chart: click here for a PowerPoint). On 5 February alone, some 1800 stocks fell by over 10% in Shanghai and Shenzhen. People were sensing a rout and investors expressed their frustration and anger on social media, including the social media account of the US Embassy. The next day, the authorities intervened and bought large quantities of key stocks. China’s sovereign wealth fund announced that it would increase its purchase of shares to support the country’s stock markets. The SSE Composite rose 4.1% on 6 February and the Shenzhen Component Index rose 6.2%.

However, the rally eased as investors waited to see what more fundamental measures the authorities would take to support the stock markets and the economy more generally. Policies are needed to boost the wider economy and encourage a growth in consumer and business confidence.

Interest rates have been cut four times since the beginning of 2022, when the prime loan rate was cut from 3.85% to 3.7%. The last cut was from 3.55% to 3.45% in August 2023. But this has been insufficient to provide the necessary boost to aggregate demand. Further cuts in interest rates are possible and the government has said that it will use proactive fiscal and effective monetary policy in response to the languishing economy. However, government debt is already high, which limits the room for expansionary fiscal policy, and consumers are highly risk averse and have a high propensity to save.

Graduate unemployment
China has seen investment in education as an important means of increasing human capital and growth. But with a slowing economy, there are are more young people graduating each year than there are graduate jobs available. Official data show that for the group aged 16–24, the unemployment rate was 14.9% in December. This compares with an overall urban unemployment rate of 5.1%. Many graduates are forced to take non-graduate jobs and graduate jobs are being offered at reduced salaries. This will have a further dampening effect on aggregate demand.

Demographics
China’s one-child policy, which it pursued from 1980 to 2016, plus improved health and social care leading to greater longevity, has led to an ageing population and a shrinking workforce. This is despite recent increases in unemployment in the 16–24 age group. The greater the ratio of dependants to workers, the greater the brake on growth as taxes and savings are increasingly used to provide various forms of support.

Effects on the rest of the world

China has been a major driver of world economic growth. With a slowing Chinese economy, this will provide less stimulus to growth in other countries. Many multinational companies, including chip makers, cosmetics companies and chemical companies, earn considerable revenue from China. For example, the USA exports over $190 billion of goods and services to China and these support over 1 million jobs in the USA. A slowdown in China will have repercussions for many companies around the world.

There is also the concern that Chinese manufacturers may dump products on world markets at less than average (total) cost to shift stock and keep production up. This could undermine industry in many countries and could initiate a protectionist response. Already Donald Trump is talking about imposing a 10% tariff on most imported goods if he is elected again in November. Such tariffs could be considerably higher on imports from China. If Joe Biden is re-elected, he too may impose tariffs on Chinese goods if they are thought to be unfairly subsidised. US (and possibly EU) tariffs on Chinese goods could lead to a similar response from China, resulting in a trade war – a negative sum game.

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  1. Why is China experiencing slowing growth and is growth likely to pick up over the next five years?
  2. How does the situation in China today compare with that in Japan 30 years ago?
  3. What policies could the Chinese government pursue to stimulate economic growth?
  4. What policies were enacted towards China during the Trump presidency from 2017 to 2020?
  5. Would you advise the Chinese central bank to cut interest rates further? Explain.
  6. Should China introduce generous child support for families, no matter the number of children?

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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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?

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.