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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Why isn't Labour putting forward Corbynite candidates?

Despite his successes as a candidate, the organisational victories have gone the way of Corbyn's opponents. 

The contest changes, but the result remains the same: Jeremy Corbyn’s preferred candidate defeated in a parliamentary selection. Afzhal Khan is Labour’s candidate in the Manchester Gorton by-election and the overwhelming favourite to be the seat’s next MP.

Although Khan, an MEP, was one of  the minority of Labour’s European MPs to dissent from a letter from the European parliamentary Labour party calling for Jeremy Corbyn to go in the summer of 2016, he backed Andy Burnham and Tom Watson in 2015, and it is widely believed, fairly or unfairly, that Khan had, as one local activist put it, “the brains to know which way the wind was blowing” rather than being a pukka Corbynite.

For the leader’s office, it was a double defeat;  their preferred candidate, Sam Wheeler, was kept off the longlist, when the party’s Corbynsceptics allied with the party’s BAME leadership to draw up an all ethnic minority shortlist, and Yasmine Dar, their back-up option, was narrowly defeated by Khan among members in Manchester Gorton.

But even when the leadership has got its preferred candidate to the contest, they have been defeated. That even happened in Copeland, where the shortlist was drawn up by Corbynites and designed to advantage Rachel Holliday, the leader’s office preferred candidate.

Why does the Labour left keep losing? Supporters combination of bad luck and bad decisions for the defeat.

In Oldham West, where Michael Meacher, a committed supporter of Jeremy Corbyn’s, was succeeded by Jim McMahon, who voted for Liz Kendall, McMahon was seen to be so far ahead that they had no credible chance of stopping him. Rosena Allin-Khan was a near-perfect candidate to hold the seat of Tooting: a doctor at the local hospital, the seat’s largest employer, with links to both the Polish and Pakistani communities that make up the seat’s biggest minority blocs.  Gillian Troughton, who won the Copeland selection, is a respected local councillor.

But the leadership has also made bad decisions, some claim.  The failure to get a candidate in Manchester Gorton was particularly egregious, as one trade unionist puts it: “We all knew that Gerald was not going to make it [until 2020], they had a local boy with good connections to the trade unions, that contest should have been theirs for the taking”. Instead, they lost control of the selection panel because Jeremy Corbyn missed an NEC meeting – the NEC is hung at present as the Corbynsceptics sacrificed their majority of one to retain the chair – and with it their best chance of taking the seat.

Others close to the leadership point out that for the first year of Corbyn’s leadership, the leader’s office was more preoccupied with the struggle for survival than it was with getting more of its people in. Decisions in by-elections were taken on the hop and often in a way that led to problems later down the line. It made sense to keep Mo Azam, from the party’s left, off the shortlist in Oldham West when Labour MPs were worried for their own seats and about the Ukip effect if Labour selected a minority candidate. But that enraged the party’s minority politicians and led directly to the all-ethnic-minority shortlist in Manchester Gorton.

They also point out that the party's councillor base, from where many candidates are drawn, is still largely Corbynsceptic, though they hope that this will change in the next round of local government selections. (Councillors must go through a reselection process at every election.)

But the biggest shift has very little to do with the Labour leadership. The big victories for the Labour left in internal battles under Ed Miliband were the result of Unite and the GMB working together. Now they are, for various reasons, at odds and the GMB has proven significantly better at working shortlists and campaigning for its members to become MPs.  That helps Corbynsceptics. “The reason why so many of the unions supported Jeremy the first time,” one senior Corbynite argues, “Is they wanted to move the Labour party a little bit to the left. They didn’t want a socialist transformation of the Labour party. And actually if you look at the people getting selected they are not Corbynites, but they are not Blairites either, and that’s what the unions wanted.”

Regardless of why, it means that, two years into Corbyn’s leadership, the Labour left finds itself smaller in parliament than it was at the beginning.  

Stephen Bush is special correspondent at the New Statesman. His daily briefing, Morning Call, provides a quick and essential guide to British politics.