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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Hillary Clinton can take down the Donald Trump bogeyman - but she's up against the real thing

Donald Trump still has time to transform. 

Eight years later than hoped, Hillary Clinton finally ascended to the stage at the Democratic National Convention and accepted the nomination for President. 

Like her cheerleaders, the Obamas, she was strongest when addressing the invisible bogeyman - her rival for President, Donald Trump. 

Clinton looked the commander in chief when she dissed The Donald's claims to expertise on terrorism. 

Now Donald Trump says, and this is a quote, "I know more about ISIS than the generals do"

No, Donald, you don't.

He thinks that he knows more than our military because he claimed our armed forces are "a disaster."

Well, I've had the privilege to work closely with our troops and our veterans for many years.

Trump boasted that he alone could fix America. "Isn't he forgetting?" she asked:

Troops on the front lines. Police officers and fire fighters who run toward danger. Doctors and nurses who care for us. Teachers who change lives. Entrepreneurs who see possibilities in every problem.

Clinton's message was clear: I'm a team player. She praised supporters of her former rival for the nomination, Bernie Sanders, and concluded her takedown of Trump's ability as a fixer by declaring: "Americans don't say: 'I alone can fix it.' We say: 'We'll fix it together.'"

Being the opposite of Trump suits Clinton. As she acknowledged in her speech, she is not a natural public performer. But her cool, policy-packed speech served as a rebuke to Trump. She is most convincing when serious, and luckily that sets her apart from her rival. 

The Trump in the room with her at the convention was a boorish caricature, a man who describes women as pigs. "There is no other Donald Trump," she said. "This is it."

Clinton and her supporters are right to focus on personality. When it comes to the nuclear button, most fair-minded people on both left and right would prefer to give the decision to a rational, experienced character over one who enjoys a good explosion. 

But the fact is, outside of the convention arena, Trump still controls the narrative on Trump.

Trump has previously stated clearly his aim to "pivot" to the centre. He has declared that he can change "to anything I want to change to".  In his own speech, Trump forewent his usual diatribe for statistics about African-American children in poverty. He talked about embracing "crying mothers", "laid-off factory workers" and making sure "all of our kids are treated equally". His wife Melania opted for a speech so mainstream it was said to be borrowed from Michelle Obama. 

His personal attacks have also narrowed. Where once his Twitter feed was spattered with references to "lying Ted Cruz" and "little Marco Rubio", now the bile is focused on one person: "crooked Hillary Clinton". Just as Clinton defines herself against a caricature of him, so Trump is defining himself against one of her. 

Trump may not be able to maintain a more moderate image - at a press conference after his speech, he lashed out at his former rival, Ted Cruz. But if he can tone down his rhetoric until November, he will no longer be the bogeyman Clinton can shine so brilliantly against.