Category: Economics: Ch 10

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?

Have you ever wondered how your job affects your happiness? We all know that not all jobs are created equal. Some are awesome, while others … not so much. Well, it turns out that employment status and the type of work you do can have a big impact on how you feel – especially in developing countries where labour markets are usually tighter and switching between jobs can be more difficult.

A recent study by Carmichael, Darko and Vasilakos (2021) uses survey data from Ethiopia, Peru, India and Vietnam to answer this very question. The study found that the quality of work is a big deal when it comes to how young people feel. Not all jobs are ‘good jobs’ that automatically make you feel great. Although your wellbeing is likely to be higher when you’re in employment than when you’re not, there are certain job attributes that can push that ‘employment premium’ up or down. This is especially important to understand in countries like many in sub-Saharan Africa, where there aren’t many formal jobs, and people often end up overqualified for what they do.

What job attributes lead to higher wellbeing?

What then are the job attributes that are correlated with higher levels of wellbeing? The first is money: Okay, we know money can’t buy happiness, but it can certainly make life easier. We were therefore hardly surprised to find a positive and statistically significant association between hourly earnings and wellbeing.

We were also not surprised to find that a ‘poor working environment’ has a strong and highly significant negative effect on wellbeing.

Finally, feeling proud of your work is also found to be a strongly significant determinant of your wellbeing. After all, people tend to excel in things they like doing, which is probably part of the ‘transmission mechanism’ between ‘work pride’ and ‘subjective wellbeing’.

Which one of these attributes did you think had the greatest effect on wellbeing? Let me guess, many of you will say ‘earnings’. But then you would be wrong. Earnings were indeed positively associated with wellbeing and statistically significant at just about the 10% level, whereas work pride was very strongly statistically significant at the 1% level and had an effect on wellbeing that was four times greater than hourly earnings.

Putting yourself in a poor working environment on the other hand would reduce your wellbeing by almost twice as much as the earnings coefficient.

Policy implications

What does all this mean for policy-makers? If we want to make life better for young people in low-income countries, we need to tackle the problems from multiple angles.

First, young people need to be helped to get the skills they need for the job market. This can be done through things like training programmes and apprenticeships. However, not all of these programmes are created equal. Some have great results, and others not so much.

But that’s not the whole story. In many countries, there’s a massive informal job market. It’s a place where people work but often don’t have the rights or protections that formal employees do. So, even if young people get trained, they might not find the ‘good’ jobs they’re hoping for.

Changes also need to be made on a much bigger scale. This often includes decentralising public investment to include rural areas, improving infrastructure, and encouraging private investment. Strengthening labour market rules and social protection can help too, by making sure that work is safe and fair.

In a nutshell, where you work and what kind of work you do can make a big difference to how you feel.

Conclusions

If policy-makers want to help young people in low-income countries, they need both to give them the skills they require and to create better job opportunities. But policy-makers also need to make bigger changes to the way things work, like boosting production and making sure jobs are safe and fair.

In the end, it’s about making life better for young people around the world. Let’s keep working on it!

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Questions

  1. How does the quality of work impact the happiness and wellbeing of young people in low- and middle-income countries (LMICs), and why is this significant in the context of job opportunities in sub-Saharan Africa?
  2. What are some potential solutions and strategies discussed in the article for improving the wellbeing of young people in LMICs, particularly in the context of employment and job opportunities?
  3. Have you ever experienced a job that significantly (positively or negatively) impacted your wellbeing or happiness? Reflect on your experience and how it influenced your overall life satisfaction?
  4. How is AI likely to affect the wellbeing of young professional workers?
  5. How is the pandemic likely to have affected job satisfaction?

You’ve had a busy day at work. You check your watch; it’s almost 5pm. You should be packing soon – except, your boss is still in their office. You shouldn’t really be seen leaving before your boss, should you? You don’t want to be branded as ‘that guy’ – the one who is ‘not committed’, ‘not willing to go the extra mile’, ‘not flexible enough’, first out of the door’ – you don’t want to have that label pinned on your performance appraisal. After all, your boss is still hard at work, and so are your other colleagues.

So you wait, pretending to work, although you do not really do much – perhaps you’re checking Facebook, reading the news or similar. And so does your boss, not wanting to be seen leaving before anyone else. But what example is this going to set for you and your other colleagues. You all wait for someone to make the first move – a prisoner’s dilemma situation. The only difference is that it’s you who is the prisoner in this situation.

Presenteeism

What we have described is an example of presenteeism. But how would we define it? If you search the term on Google Scholar or Scopus, you will come across a number of articles in the fields of health and labour economics that define presenteeism as a phenomenon in which employees who feel physically unwell choose to go to work, or stay on at work, rather than asking for time off to get better (see, for instance, Hansen and Andersen, 2008 and several others). This is also known as sickness presenteeism.

According to Cooper and Lu (2016), however, the use of the term can be extended to describe a wider situation in which a worker is physically present at their workplace but not functioning (by reason of tiredness, physical illness, mental ill-health, peer pressure or whatever else). As explained in Biron and Saksvik (2009):

Cooper’s conceptualisation of presenteeism implied that presenteeism was a behaviour determined by specific determinants (i.e. long working hours and a context of uncertainty). This tendency to stay at work longer than required to display a visible commitment is what Simpson (1998) calls ‘competitive presenteeism’ where people compete on who will stay in the office the longest.

The effect of presenteeism

Unsurprisingly, the effect of presenteeism on the wellbeing of workers and the economic performance of firms has been looked at extensively from different angles and disciplines – including health economists, organisational behaviour and labour economists – for a recent and comprehensive review of the literature on this topic see Lohaus and Habermann (2019).

Most of these studies agree that the effects of presenteeism are negative; in particular, they identify significant negative effects on the physical health of workers (Skagen and Collins, 2016); emotional exhaustion and mental health issues (Demerouti et al, 2009); persistent productivity loss (Warren et al, 2011); lower work engagement and negative feelings (Asfaw et al, 2017) – among several others. There seems, therefore, to be plenty of convincing evidence that presenteeism is bad for everyone – business owners, managers and staff.

So next time that you find yourself stuck at work working silly hours, feeling totally unproductive and just staying to be seen, email this blog to your boss and other colleagues – and ask them if they wish to join you for a drink or a walk.

You’re welcome!

(By the way, there’s a saying that in the UK the last one to leave the office is seen as the hardest working, whereas in Germany the last one to leave the office is seen as the least efficient!)

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References

Questions

  1. ‘Presenteeism leads to lower productivity and firm performance and should be discouraged by business owners and managers’. Discuss.
  2. Jack Ma, the Chinese billionaire and owner of Ali Baba, has defended his ‘996 work model’ (working 9am to 9pm for 6 days a week) as a ‘huge blessing’. Find and review some articles on this topic, and use them to write a response. Your response should be substantiated using relevant economic theory and empirical research.
  3. Have you or anyone you know found yourself guilty of presenteeism? Share your experience with the rest of the class, focusing on effects on productivity and your attitude towards your employer and work colleagues.

A recent report published by the High Pay Centre shows that the median annual CEO pay of the FTSE 100 companies rose by 15.7% in 2022, from £3.38 million in 2021 to £3.91 million – double the UK CPIH inflation rate of 7.9%. Average total pay across the whole economy grew by just 6.0%, representing a real pay cut of nearly 2%.

The pay of top US CEOs is higher still. The median annual pay of S&P 500 CEOs in 2022 was a massive $14.8 million (£11.7 million). However, UK top CEOs earn a little more than those in France and Germany. The median pay of France’s CAC40 CEOs was €4.9 million (£4.2 million). This compares with a median of £4.6 million for the CEOs of the top 40 UK companies. The mean pay of Germany’s DAX30 CEOs was €6.1 million (£5.2 million) – lower than a mean of £6.0 million for the CEOs of the top 30 UK companies.

The gap between top CEO pay and that of average full-time workers narrowed somewhat after 2019 as the pandemic hit company performance. However, it has now started widening again. The ratio of the median UK CEO pay to the median pay of a UK full-time worker stood at 123.1 in 2018. This fell to 79.1 in 2020, but then grew to 108.1 in 2021 and 118.1 in 2022.

The TUC has argued that workers should be given seats on company boards and remuneration committees that decide executive pay. Otherwise, the gap is likely to continue rising, especially as remuneration committees in specific companies seek to benchmark pay against other large companies, both at home and abroad. This creates a competitive upward push on remuneration. What is more, members of remuneration committees have the incentive to be generous as they themselves might benefit from the process in the future.

Although the incomes of top CEOs is huge and growing, even if they are excluded, there is still a large gap in incomes between high and low earners generally in the UK. In March 2023, the top 1 per cent of earners had an average gross annual income of just over £200 000; the bottom 10 per cent had an average gross annual income of a little over £8500 – just 4.24% of the top 1 per cent (down from 4.36% in March 2020).

What is more, in recent months, the share of profits in GDP has been rising. In 2022 Q3, gross profits accounted for 21.2% of GDP. By 2023 Q2, this had risen to 23.4%. As costs have risen, so firms have tended to pass a greater percentage increase on to consumers, blaming these price increases on the rise in their costs.

Life at the bottom

The poor spend a larger proportion of their income on food, electricity and gas than people on average income; these essential items have a low income elasticity of demand. But food and energy inflation has been above that of CPIH inflation.

In 2022, the price of bread rose by 20.5%, eggs by 28.9%, pasta by 29.1%, butter by 29.4%, cheese by 32.6% and milk by 38.5%; the overall rise in food and non-alcoholic beverages was 16.9% – the highest rise in any of the different components of consumer price inflation. In the past two years there has been a large increase in the number of people relying on food banks. In the six months to September 2022, there was a 40% increase in new food bank users when compared to 2021.

As far as energy prices are concerned, from April 2022 to April 2023, under Ofgem’s price cap, which is based on wholesale energy prices, gas and electricity prices would have risen by 157%, from £1277 to £3286 for the typical household. The government, however, through the Energy Price Guarantee restricted the rise to an average of £2500 (a 96% rise). Also, further help was given in the form of £400 per household, paid in six monthly instalments from October 2022 to March 2023, effectively reducing the rise to £2100 (64%). Nevertheless, for the poorest of households, such a rise meant a huge percentage increase in their outgoings. Many were forced to ‘eat less and heat less’.

Many people have got into rent arrears and have been evicted or are at risk of being so. As the ITV News article and videos linked below state: 242 000 households are experiencing homelessness including rough sleeping, sofa-surfing and B&B stays; 85% of English councils have reported an increase in the number of homeless families needing support; 97% of councils are struggling to find rental properties for homeless families.

Financial strains have serious effects on people’s wellbeing and can adversely affect their physical and mental health. In a policy research paper, ‘From Drained and Desperate to Affluent and Apathetic’ (see link below), the consumer organisation, Which?, looked at the impact of the cost-of-living crisis on different groups. It found that in January 2023, the crisis had made just over half of UK adults feel more anxious or stressed. It divided the population into six groups (with numbers of UK adults in each category in brackets): Drained and Desperate (9.2m), Anxious and At Risk (7.9m), Cut off by Cutbacks (8.8m), Fretting about the Future (7.7m), Looking out for Loved Ones (8.9m), Affluent and Apathetic (8.8m).

The majority of the poorest households are in the first group. As the report describes this group: ‘Severely impacted by the crisis, this segment has faced significant physical and mental challenges. Having already made severe cutbacks, there are few options left for them.’ In this group, 75% do not turn the heating on when cold, 63% skip one or more meals and 94% state that ‘It feels like I’m existing instead of living’.

Many of those on slightly higher incomes fall into the second group (Anxious and At Risk). ‘Driven by a large family and mortgage pressure, this segment has not been particularly financially stable and experienced mental health impacts. They have relied more on borrowing to ease financial pressure.’

Although inflation is now coming down, prices are still rising, interest rates have probably not yet peaked and real incomes for many have fallen significantly. Life at the bottom has got a lot harder.

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Reports

Data

Questions

  1. What are the arguments for and against giving huge pay awards to CEOs?
  2. What are the arguments for and against raising the top rate of income tax to provide extra revenue to distribute to the poor? Distinguish between income and substitution effects.
  3. What policies could be adopted to alleviate poverty? Why are such policies not adopted?
  4. Using the ONS publication, the Effects of taxes and benefits on UK household income, find out how the distribution of income between the various decile groups of household income has changed over time? Comment on your findings.

In two previous posts, one at the end of 2019 and one in July 2021, we looked at moves around the world to introduce a four-day working week, with no increase in hours on the days worked and no reduction in weekly pay. Firms would gain if increased worker energy and motivation resulted in a gain in output. They would also gain if fewer hours resulted in lower costs.

Workers would be likely to gain from less stress and burnout and a better work–life balance. What is more, firms’ and workers’ carbon footprint could be reduced as less time was spent at work and in commuting.

If the same output could be produced with fewer hours worked, this would represent an increase in labour productivity measured in output per hour.

The UK’s poor productivity record since 2008

Since the financial crisis of 2007–8, the growth in UK productivity has been sluggish. This is illustrated in the chart, which looks at the production industries: i.e. it excludes services, where average productivity growth tends to be slower. (Click here for a PowerPoint of the chart.)

Prior to the crisis, from 1998 to 2007, UK productivity in the production industries grew at an annual rate of 6.1%. From 2007 to the start of the pandemic in 2020, the average annual productivity growth rate in these industries was a mere 0.5%.

It grew rapidly for a short time at the start of the pandemic, but this was because many businesses temporarily shut down or went to part-time working, and many of these temporary job cuts were low-wage/low productivity jobs. If you take services, the effect was even stronger as sectors such as hospitality, leisure and retail were particularly affected and labour productivity in these sectors tends to be low. As industries opened up and took on more workers, so average productivity fell back. In the four quarters to 2022 Q3 (the latest data available), productivity in the production industries fell by 6.8%.

If you project the average productivity growth rate from 1998 to 2007 of 6.1% forwards (see grey dashed line), then by 2022 Q3, output per hour in the production industries would have been 21/4 times (125%) higher than it actually was. This is a huge productivity gap.

Productivity in the UK is lower than in many other competitor countries. According to the ONS, output per hour in the UK in 2021 was $59.14 in the UK. This compares with an average of $64.93 for the G7 countries, $66.75 in France, £68.30 in Germany, $74.84 in the USA, $84.46 in Norway and $128.21 in Ireland. It is lower, however, in Italy ($54.59), Canada ($53.97) and Japan ($47.28).

As we saw in the blog, The UK’s poor productivity record, low UK productivity is caused by a number of factors, not least the lack of investment in physical capital, both by private companies and in public infrastructure, and the lack of investment in training. Other factors include short-termist attitudes of both politicians and management and generally poor management practices. But one cause is the poor motivation of many workers and the feeling of being overworked. One solution to this is the four-day week.

Latest evidence on the four-day week

Results have just been released of a pilot programme involving 61 companies and non-profit organisations in the UK and nearly 3000 workers. They took part in a six-month trial of a four-day week, with no increase in hours on the days worked and no loss in pay for employees – in other words, 100% of the pay for 80% of the time. The trial was a success, with 91% of organisations planning to continue with the four-day week and a further 4% leaning towards doing so.

The model adopted varied across companies, depending on what was seen as most suitable for them. Some gave everyone Friday off; others let staff choose which day to have off; others let staff work 80% of the hours on a flexible basis.

There was little difference in outcomes across different types of businesses. Compared with the same period last year, revenues rose by an average of 35%; sick days fell by two-thirds and 57% fewer staff left the firms. There were significant increases in well-being, with 39% saying they were less stressed, 40% that they were sleeping better; 75% that they had reduced levels of burnout and 54% that it was easier to achieve a good work–life balance. There were also positive environmental outcomes, with average commuting time falling by half an hour per week.

There is growing pressure around the world for employers to move to a four-day week and this pilot provides evidence that it significantly increases productivity and well-being.

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Questions

  1. What are the possible advantages of moving to a four-day week?
  2. What are the possible disadvantages of moving to a four-day week?
  3. What types of companies or organisations are (a) most likely, (b) least likely to gain from a four-day week?
  4. Why has the UK’s productivity growth been lower than that of many of its major competitors?
  5. Why, if you use a log scale on the vertical axis, is a constant rate of growth shown as a straight line? What would a constant rate of growth line look like if you used a normal arithmetical scale for the vertical axis?
  6. Find out what is meant by the ‘fourth industrial revolution’. Does this hold out the hope of significant productivity improvements in the near future? (See, for example, last link above.)