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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Our union backed Brexit, but that doesn't mean scrapping freedom of movement

We can only improve the lives of our members, like those planning stike action at McDonalds, through solidarity.

The campaign to defend and extend free movement – highlighted by the launch of the Labour Campaign for Free Movement this month – is being seen in some circles as a back door strategy to re-run the EU referendum. If that was truly the case, then I don't think Unions like mine (the BFAWU) would be involved, especially as we campaigned to leave the EU ourselves.

In stark contrast to the rhetoric used by many sections of the Leave campaign, our argument wasn’t driven by fear and paranoia about migrant workers. A good number of the BFAWU’s membership is made up of workers not just from the EU, but from all corners of the world. They make a positive contribution to the industry that we represent. These people make a far larger and important contribution to our society and our communities than the wealthy Brexiteers, who sought to do nothing other than de-humanise them, cheered along by a rabid, right-wing press. 

Those who are calling for end to freedom of movement fail to realise that it’s people, rather than land and borders that makes the world we live in. Division works only in the interest of those that want to hold power, control, influence and wealth. Unfortunately, despite a rich history in terms of where division leads us, a good chunk of the UK population still falls for it. We believe that those who live and work here or in other countries should have their skills recognised and enjoy the same rights as those born in that country, including the democratic right to vote. 

Workers born outside of the UK contribute more than £328 million to the UK economy every day. Our NHS depends on their labour in order to keep it running; the leisure and hospitality industries depend on them in order to function; the food industry (including farming to a degree) is often propped up by their work.

The real architects of our misery and hardship reside in Westminster. It is they who introduced legislation designed to allow bosses to act with impunity and pay poverty wages. The only way we can really improve our lives is not as some would have you believe, by blaming other poor workers from other countries, it is through standing together in solidarity. By organising and combining that we become stronger as our fabulous members are showing through their decision to ballot for strike action in McDonalds.

Our members in McDonalds are both born in the UK and outside the UK, and where the bosses have separated groups of workers by pitting certain nationalities against each other, the workers organised have stood together and fought to win change for all, even organising themed social events to welcome each other in the face of the bosses ‘attempts to create divisions in the workplace.

Our union has held the long term view that we should have a planned economy with an ability to own and control the means of production. Our members saw the EU as a gravy train, working in the interests of wealthy elites and industrial scale tax avoidance. They felt that leaving the EU would give the UK the best opportunity to renationalise our key industries and begin a programme of manufacturing on a scale that would allow us to be self-sufficient and independent while enjoying solid trading relationships with other countries. Obviously, a key component in terms of facilitating this is continued freedom of movement.

Many of our members come from communities that voted to leave the EU. They are a reflection of real life that the movers and shakers in both the Leave and Remain campaigns took for granted. We weren’t surprised by the outcome of the EU referendum; after decades of politicians heaping blame on the EU for everything from the shape of fruit to personal hardship, what else could we possibly expect? However, we cannot allow migrant labour to remain as a political football to give succour to the prejudices of the uninformed. Given the same rights and freedoms as UK citizens, foreign workers have the ability to ensure that the UK actually makes a success of Brexit, one that benefits the many, rather than the few.

Ian Hodon is President of the Bakers and Allied Food Workers Union and founding signatory of the Labour Campaign for Free Movement.