Category: Economics for Business: Ch 19

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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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Stopping the Game? Big traders vs. the swarm

Bubbles

Speculation in markets can lead to wild swings in prices as exuberance drives up prices and
pessimism leads to price crashes. When the rise in price exceeds underlying fundamentals, such as profit, the result is a bubble. And bubbles burst.

There have been many examples of bubbles throughout history. One of the most famous is that of tulips in the 17th century. As Box 2.4 in Essential Economics for Business (6th edition) explains:

Between November 1636 and February 1637, there was a 20-fold increase in the price of tulip bulbs, such that a skilled worker’s annual salary would not even cover the price of one bulb. Some were even worth more than a luxury home! But, only three months later, their price had fallen by 99 per cent. Some traders refused to pay the high price and others began to sell their tulips. Prices began falling. This dampened demand (as tulips were seen to be a poor investment) and encouraged more people to sell their tulips. Soon the price was in freefall, with everyone selling. The bubble had burst .

Another example was the South Sea Bubble of 1720. Here, shares in the South Sea Company, given a monopoly by the British government to trade with South America, increased by 900% before collapsing through a lack of trade.

Another, more recent, example is that of Poseidon. This was an Australian nickel mining company which announced in September 1969 that it had discovered a large seam of nickel at Mount Windarra, WA. What followed was a bubble. The share price rose from $0.80 in mid-1969 to a peak of $280 in February 1970 and then crashed to just a few dollars.

Other examples are the Dotcom bubble of the 1990s, the US housing bubble of the mid-2000s and BitCoin, which has seen more than one bubble.

Bubbles always burst eventually. If you buy at a low price and sell at the peak, you can make a lot of money. But many will get their fingers burnt. Those who come late into the market may pay a high price and, if they are slow to sell, can then make a large loss.

GameStop shares – an unlikely candidate for a bubble

The most recent example of a bubble is GameStop. This is a chain of shops in the USA selling games, consoles and other electronic items. During the pandemic it has struggled, as games consumers have turned to online sellers of consoles and online games. It has been forced to close a number of stores. In July 2020, its share price was around $4. With the general recovery in stock markets, this drifted upwards to just under $20 by 12 January 2021.

Then the bubble began.

Hedge fund shorting

Believing that the GameStop shares were now overvalued and likely to fall, many hedge funds started shorting the shares. Shorting (or ‘short selling’) is where investors borrow shares for a fee and immediately sell them on at the current price, agreeing to return them to the lender on a specified day in the near future (the ‘expiration date’). But as the investors have sold the shares they borrowed, they must now buy them at the current price on or before the expiration date so they can return them to the lenders. If the price falls between the two dates, the investors will gain. For example, if you borrow shares and immediately sell them at a current price of £5 and then by the expiration date the price has fallen to $2 and you buy them back at that price to return them to the lender, you make a £3 profit.

But this is a risky strategy. If the price rises between the two dates, investors will lose – as events were to prove.

The swarm of small investors

Enter the ‘armchair investor’. During lockdown, small-scale amateur investing in shares has become a popular activity, with people seeking to make easy gains from the comfort of their own homes. This has been facilitated by online trading platforms such as Robinhood and Trading212. These are easy and cheap, or even free, to use.

What is more, many users of these sites were also collaborating on social media platforms, such as Reddit. They were encouraging each other to buy shares in GameStop and some other companies. In fact, many of these small investors were seeing it as a battle with large-scale institutional investors, such as hedge funds – a David vs. Goliath battle.

With swarms of small investors buying GameStop, its share price surged. From $20 on 12 January, it doubled in price within two days and had reached $77 by 25 January. The frenzy on Reddit then really gathered pace. The share price peaked at $468 early on 28 January. It then fell to $126 less than two hours later, only to rise again to $354 at the beginning of the next day.

Many large investors who had shorted GameStop shares made big losses. Analytics firm Ortex estimated that hedge funds lost a total of $12.5 billion in January. Many small investors, however, who bought early and sold at the peak made huge gains. Other small investors who got the timing wrong made large losses.

And it was not just GameStop. Social media were buzzing with suggestions about buying shares in other poorly performing companies that large-scale institutional investors were shorting. Another target was silver and silver mines. At one point, silver prices rose by more than 10% on 1 February. However, money invested in silver is huge relative to GameStop and hence small investors were unlikely to shift prices by anything like as much as GameStop shares.

Amidst this turmoil, the US Securities and Exchange Commission (SEC) issued a statement on 29 January. It warned that it was working closely with other regulators and the US stock exchange ‘to ensure that regulated entities uphold their obligations to protect investors and to identify and pursue potential wrongdoing’. It remains to be seen, however, what it can do to curb the concerted activities of small investors. Perhaps, only the experience of bubbles bursting and the severe losses that can result will make small investors think twice about backing failing companies. Some Davids may beat Goliath; others will be defeated.

Articles

Data

Questions

  1. Distinguish between stabilising and destabilising speculation.
  2. Use a demand and supply diagram to illustrate destabilising speculation.
  3. Explain how short selling contributed to the financial crisis of 2007/8 (see Box 2.7 in Economics (10th edition) or Box 3.4 in Essentials of Economics (8th edition)).
  4. Why won’t shares such as GameStop go on rising rapidly in price for ever? What limits the rise?
  5. Find out some other shares that have been trending among small investors. Why were these specific shares targeted?
  6. How has quantitative easing impacted on stock markets? What might be the effect of a winding down of QE or even the use of quantitative tightening?
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Is growing inequality fair?

In a series of five podcasts, broadcast on BBC Radio 4 in the first week of January 2021, Amol Rajan and guests examine different aspects of inequality and consider the concept of fairness.

As the notes to the programme state:

The pandemic brought renewed focus on how we value those who have kept shelves stacked, transport running and the old and sick cared for. So is now the time to bring about a fundamental shift in how our society and economy work?

The first podcast, linked below, examines the distribution of wealth in the UK and how it has changed over time. It looks at how rising property and share prices and a lightly taxed inheritance system have widened inequality of wealth.

It also examines rising inequality of incomes, a problem made worse by rising wealth inequality, the move to zero-hour contracts, gig working and short-term contracts, the lack of social mobility, austerity following the financial crisis of 2007–9 and the lockdowns and restrictions to contain the coronavirus pandemic, with layoffs, people put on furlough and more and more having to turn to food banks.

Is this rising inequality fair? Should fairness be considered entirely in monetary terms, or should it be considered more broadly in social terms? These are issues discussed by the guests. They also look at what policies can be pursued. If the pay of health and care workers, for example, don’t reflect their value to our society, what can be done to increase their pay? If wealth is very unequally distributed, should it be redistributed and how?

The questions below are based directly on the issues covered in the podcast in the order they are discussed.

Podcast

Questions

  1. In what ways has Covid-19 been the great ‘unequaliser’?
  2. What scarring/hysteresis effects are there likely to be from the pandemic?
  3. To what extent is it true that ‘the more your job benefits other people, the less you get paid’?
  4. How has the pandemic affected inter-generational inequality?
  5. How have changes in house prices skewed wealth in the UK over the past decade?
  6. How have changes in the pension system contributed to inter-generational inequality?
  7. How has quantitative easing affected the distribution of wealth?
  8. Why is care work so poorly paid and how can the problem be addressed?
  9. How desirable is the pursuit of wealth?
  10. How would you set about defining ‘fairness’?
  11. Is a mix of taxation and benefits the best means of tackling economic unfairness?
  12. How would you set about deciding an optimum rate of inheritance tax?
  13. How do you account for the growth of in-work poverty?
  14. In what ways could wealth be taxed? What are the advantages and disadvantages of such taxes?
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Why is UK productivity growth so low?

Since the financial crisis of 2008–9, the UK has experienced the lowest growth in productivity for the past 250 years. This is the conclusion of a recent paper published in the National Institute Economics Review. Titled, Is the UK Productivity Slowdown Unprecedented, the authors, Nicholas Crafts of the University of Sussex and Terence C Mills of Loughborough University, argue that ‘the current productivity slowdown has resulted in productivity being 19.7 per cent below the pre-2008 trend path in 2018. This is nearly double the previous worst productivity shortfall ten years after the start of a downturn.’

According to ONS figures, productivity (output per hour worked) peaked in 2007 Q4. It did not regain this level until 2011 Q1 and by 2019 Q3 was still only 2.4% above the 2007 Q4 level. This represents an average annual growth rate over the period of just 0.28%. By contrast, the average annual growth rate of productivity for the 35 years prior to 2007 was 2.30%.

The chart illustrates this and shows the productivity gap, which is the amount by which output per hour is below trend output per hour from 1971 to 2007. By 2019 Q3 this gap was 27.5%. (Click here for a PowerPoint of the chart.) Clearly, this lack of growth in productivity over the past 12 years has severe implications for living standards. Labour productivity is a key determinant of potential GDP, which, in turn, is the major limiter of actual GDP.

Crafts and Mills explore the reasons for this dramatic slowdown in productivity. They identify three primary reasons.

The first is a slowdown in the impact of developments in ICT on productivity. The office and production revolutions that developments in computing and its uses had brought about have now become universal. New developments in ICT are now largely in terms of greater speed of computing and greater sophistication of software. Perhaps with an acceleration in the development of artificial intelligence and robotics, productivity growth may well increase in the relatively near future (see third article below).

The second cause is the prolonged impact of the banking crisis, with banks more cautious about lending and firms more cautious about borrowing for investment. What is more, the decline in investment directly impacts on potential output, and layoffs or restructuring can leave people with redundant skills. There is a hysteresis effect.

The third cause identified by Crafts and Mills is Brexit. Brexit and the uncertainty surrounding it has resulted in a decline in investment and ‘a diversion of top-management time towards Brexit planning and a relative shrinking of highly-productive exporters compared with less productive domestically orientated firms’.

Articles

Paper

Questions

  1. How suitable is output (GDP) per hour as a measure of labour productivity?
  2. Compare this measure of productivity with other measures.
  3. According to Crafts and Mills, what is the size of the impact of each of their three explanations of the productivity slowdown?
  4. Would you expect the growth in productivity to return to pre-2007 levels over the coming years? Explain.
  5. Explain the underlying model for obtaining trend productivity growth rates used by Crafts and Mills.
  6. Explain and comment on each of the six figures in the Crafts and Mills paper.
  7. What policies should the government adopt to increase productivity growth?
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A moral hazard in cancelling student debt?

With university fees for home students in England of £9250 per year and with many students receiving maintenance loans of around £9000 per year, many students are graduating with debts in excess of £50 000. Loans are repaid at a marginal rate of 9% on incomes over £25 716.

Many students also study for a masters degree. The average fee for a taught, classroom-based masters (MA) is £7392 and for a laboratory-based masters (MSc) is £8167 but can be considerably higher at some prestigious universities where demand is high. Government loans of up to £10 906 are available to contribute towards fees and maintenance. These are paid back at a marginal rate of 6% for people earning over £21 000, giving a combined marginal rate of 15% for first and masters degrees.

For high earners on the 40% income tax rate, the combined marginal rate of payment out of income is 40% tax, plus 2% national insurance, plus 15% for those with undergraduate and masters loans. This gives a combined marginal rate of 57%.

Average student debt in England is higher even than in the USA, where the average is $37 000. US university courses are more expensive than in the UK, costing an average of $34 000 per year in tuition alone. But undergraduates can borrow less. They can borrow between $5500 and $12 500 per year in federal loans towards both fees and maintenance, and some private loans are also available. Most students do some paid work during their studies to make up the difference or rely on parents contributing. Parental contributions mean that students from poor families end up owing more. According to a Guardian article:

Race is a huge factor. Black students owe an average of $7400 more than white students when they graduate, the Brookings Institution found. After graduation, the debt gap continues to widen. Four years after graduation, black graduates owe an average of nearly $53 000 – nearly double that of white graduates.

Student debt looks to become one of the key issues in the 2020 US presidential election.

Pressure to cancel student fees and debt in the USA

Most of the Democratic candidates are promising to address student fees and debt. Student debt, they claim, places an unfair burden on the younger generation and makes it hard for people to buy a house, or car or other major consumer durables. This also has a dampening effect on aggregate demand.

The most radical proposal comes from Bernie Sanders. He has vowed, if elected, to abolish student fees and to cancel all undergraduate and graduate debt of all Americans. Other candidates are promising to cut fees and/or debt.

Although most politicians and commentators agree that the USA has a serious problem of student debt, there is little agreement on what, if anything, to do about it. There are already a number of ways in which student debt can be written off or reduced. For example, if you work in the public sector for more than 10 years, remaining debt will be cancelled. However, none of the existing schemes is as radical as that being proposed by many Democrats.

Criticisms of the Democrats’ plans are mainly of two types.

The first is the sheer cost. Overall debt is around $1.6tn. What is more, making student tuition free would place a huge ongoing burden on government finances. Bernie Sanders proposes introducing a financial transactions tax on stock trading. This would be similar to a Tobin tax (sometimes dubbed a ‘Robin Hood tax’) and would include a 0.5% tax on stock transactions, a 0.1% tax on bond trades and a 0.005% tax on transactions in derivatives. He argues that the public bailed out the financial sector in 2008 and that it is now the turn of the financial sector to come to the aid of students and graduates.

The other type of criticism concerns the incentive effects of the proposal. The core of the criticism is that loan forgiveness involves moral hazard.

The moral hazard of loan forgiveness

The argument is that cancelling debt, or the promise to do so, encourages people to take on more debt. Generally, moral hazard occurs when people are protected from the consequences of their actions and are thus encouraged to make riskier decisions. For example, if you are ensured against theft, you may be less careful with your belongings. As the Orange County Register article linked below states:

If the taxpayers pay the debts of everyone with outstanding student loans, how will that affect the decisions made by current students thinking about their choices for financing higher education? What’s the message? Borrow as much as you can and wait for the debt to be canceled during the next presidential primary campaign?

Not only would more students be encouraged to go to college, but they would be encouraged to apply for more costly courses if they were free.

Universities would be encouraged to exaggerate their costs to warrant higher fees charged to the government. The government (federal, state or local) would have to be very careful in auditing courses to ensure costs were genuine. Universities could end up being squeezed for finance as government may try to cut payments by claiming that courses were overpriced.

Even if fees were not abolished, cancelling debts would encourage students to take on larger debt, if that was to be cleared at some point in the future. What is more, students (or their parents) who could afford to pay, would choose to borrow the money instead.

But many countries do have free or highly subsidised higher education. Universities are given grants which are designed to reflect fair costs.

Articles

Videos

Questions

  1. Assess the arguments for abolishing or substantially reducing student fees.
  2. Assess the arguments against abolishing or substantially reducing student fees.
  3. Assess the arguments for writing off or substantially reducing student debt.
  4. Assess the arguments against writing off or substantially reducing student debt.
  5. If it were decided to cancel student debt, would it be fair to pay students back for any debt they had already paid off?
  6. Does tackling the problem of student debt necessarily lead to a redistribution of wealth/income?
  7. Give some other examples of moral hazard.
  8. If student fees were abolished, would there be any problem of adverse selection? If so, how could this be overcome?
  9. Find out what the main UK parties are advocating about student fees and debt in the nations of the UK for home and non-home students. Provide a critique of each of their policies.