Child benefit withdrawal will make it better to work less for families with over seven children

And come 2076, that will be the case for every family in the nation.

The child tax credit withdrawal, taking effect on Monday, will lead to marginal tax rates of over 100 per cent on families with more than eight children earning between £50,000 and £60,000.

The IFS explains how the marginal rates are calculated:

Affected taxpayers will pay back one per cent of their family’s Child Benefit for every £100 by which taxable income exceeds £50,000. One per cent of Child Benefit is £10.56 per year for a 1-child family, and an additional £6.97 per child for larger families. Hence the marginal tax rate between £50,000 and £60,000 is increased by about 11 percentage points for the first child and by an additional 7 percentage points for each subsequent one. So, for example, while about 320,000 people will find that their marginal income tax rate increases to more than 50%, about 40,000 of them - those with three or more children - will find that it jumps to at least 65%.

They offer a chart with the rate calculated up to four children:

By seven children, the marginal rate rises to 99.35 per cent, and by eight, it breaks 100 per cent (106.32 per cent, to be exact). This means that any individual with a family of eight kids earning between £50,000 and £60,000 would be better off if they reduced their salary back down to £50,000. In fact, for that individual, they would have to earn £61,105 before their post-tax income was the same as it was at £50,000.

It's unclear whether any families actually exist matching that criterion - rather wonderfully, my back-of-the-envelope maths (which assumes that the exponential decrease in the number of families of each size continues: e.g., there are 1/8th the number of families with three or more kids as there are with two or more, so I'm assuming that there are correspondingly 1/8th the number of families with four or more as there are with three or more, and so on) suggests that there may be exactly one – but even if there are none at the moment, there's no reason why there won't be one in the future. Families with eight children do, after all, exist.

In fact, as time goes on, this problem will get worse. The IFS points out that child benefit is uprated with inflation, while tax bands aren't. Currently, each extra child after the first increases your "marginal tax rate" by around seven per cent, but suppose child benefit is uprated by two per cent a year. In that case, the marginal tax would exceed one hundred per cent for families with seven children next year; for six children in the year 2020; for five children in the year 2028; and, eventually, for families with just one child – i.e., every family – in the year 2076.

Hopefully the law will be changed before then, of course. But as a rule of thumb, laws which become ridiculously damaging unless you actively intervene ought not be signed in the first place. Oops.

Children. Photograph: Getty Images

Alex Hern is a technology reporter for the Guardian. He was formerly staff writer at the New Statesman. You should follow Alex on Twitter.

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Debunking Boris Johnson's claim that energy bills will be lower if we leave the EU

Why the Brexiteers' energy policy is less power to the people and more electric shock.

Boris Johnson and Michael Gove have promised that they will end VAT on domestic energy bills if the country votes to leave in the EU referendum. This would save Britain £2bn, or "over £60" per household, they claimed in The Sun this morning.

They are right that this is not something that could be done without leaving the Union. But is such a promise responsible? Might Brexit in fact cost us much more in increased energy bills than an end to VAT could ever hope to save? Quite probably.

Let’s do the maths...

In 2014, the latest year for which figures are available, the UK imported 46 per cent of our total energy supply. Over 20 other countries helped us keep our lights on, from Russian coal to Norwegian gas. And according to Energy Secretary Amber Rudd, this trend is only set to continue (regardless of the potential for domestic fracking), thanks to our declining reserves of North Sea gas and oil.


Click to enlarge.

The reliance on imports makes the UK highly vulnerable to fluctuations in the value of the pound: the lower its value, the more we have to pay for anything we import. This is a situation that could spell disaster in the case of a Brexit, with the Treasury estimating that a vote to leave could cause the pound to fall by 12 per cent.

So what does this mean for our energy bills? According to December’s figures from the Office of National Statistics, the average UK household spends £25.80 a week on gas, electricity and other fuels, which adds up to £35.7bn a year across the UK. And if roughly 45 per cent (£16.4bn) of that amount is based on imports, then a devaluation of the pound could cause their cost to rise 12 per cent – to £18.4bn.

This would represent a 5.6 per cent increase in our total spending on domestic energy, bringing the annual cost up to £37.7bn, and resulting in a £75 a year rise per average household. That’s £11 more than the Brexiteers have promised removing VAT would reduce bills by. 

This is a rough estimate – and adjustments would have to be made to account for the varying exchange rates of the countries we trade with, as well as the proportion of the energy imports that are allocated to domestic use – but it makes a start at holding Johnson and Gove’s latest figures to account.

Here are five other ways in which leaving the EU could risk soaring energy prices:

We would have less control over EU energy policy

A new report from Chatham House argues that the deeply integrated nature of the UK’s energy system means that we couldn’t simply switch-off the  relationship with the EU. “It would be neither possible nor desirable to ‘unplug’ the UK from Europe’s energy networks,” they argue. “A degree of continued adherence to EU market, environmental and governance rules would be inevitable.”

Exclusion from Europe’s Internal Energy Market could have a long-term negative impact

Secretary of State for Energy and Climate Change Amber Rudd said that a Brexit was likely to produce an “electric shock” for UK energy customers – with costs spiralling upwards “by at least half a billion pounds a year”. This claim was based on Vivid Economic’s report for the National Grid, which warned that if Britain was excluded from the IEM, the potential impact “could be up to £500m per year by the early 2020s”.

Brexit could make our energy supply less secure

Rudd has also stressed  the risks to energy security that a vote to Leave could entail. In a speech made last Thursday, she pointed her finger particularly in the direction of Vladamir Putin and his ability to bloc gas supplies to the UK: “As a bloc of 500 million people we have the power to force Putin’s hand. We can coordinate our response to a crisis.”

It could also choke investment into British energy infrastructure

£45bn was invested in Britain’s energy system from elsewhere in the EU in 2014. But the German industrial conglomerate Siemens, who makes hundreds of the turbines used the UK’s offshore windfarms, has warned that Brexit “could make the UK a less attractive place to do business”.

Petrol costs would also rise

The AA has warned that leaving the EU could cause petrol prices to rise by as much 19p a litre. That’s an extra £10 every time you fill up the family car. More cautious estimates, such as that from the RAC, still see pump prices rising by £2 per tank.

The EU is an invaluable ally in the fight against Climate Change

At a speech at a solar farm in Lincolnshire last Friday, Jeremy Corbyn argued that the need for co-orinated energy policy is now greater than ever “Climate change is one of the greatest fights of our generation and, at a time when the Government has scrapped funding for green projects, it is vital that we remain in the EU so we can keep accessing valuable funding streams to protect our environment.”

Corbyn’s statement builds upon those made by Green Party MEP, Keith Taylor, whose consultations with research groups have stressed the importance of maintaining the EU’s energy efficiency directive: “Outside the EU, the government’s zeal for deregulation will put a kibosh on the progress made on energy efficiency in Britain.”

India Bourke is the New Statesman's editorial assistant.