The tax and benefit system is basically broken for couples with children

If you wanted to disincentivise work for the poorest, this is how you'd do it.

Last week, this IFS chart showing the effect of the child benefit withdrawal on marginal tax rates made quite an effect:

IFS Chart

I wrote about it myself, arguing that it underemphasised how bad the effect would be on families with lots of children. But the chart also plays down how bad the existing system is. The interplay between benefits, income tax and national insurance results in marginal tax rates which increase and decrease in a haphazard and unpredictable way, and frequently reach astronomic levels.

The IEA's Philip Booth looked at what he calls "the simplest possible case… of a couple with three children not claiming Housing Benefit, Council Tax Benefit or assistance with child-care costs (or a host of other ad hoc benefits that are available)." The figures were compiled in May last year, but are based on the state of affairs this May – so there may be some lags in exact amounts, but the overall picture remains accurate, at least pre-Universal Credit. Here they are charted in the same format as the IFS'

Chart Two

It's clear that for this case, the tax and benefit system is almost entirely backwards. The largest rates are paid at the bottom end of the income scale, progressively declining to 42 per cent, before finally, at the very top end, increasing to a "high" of 47 per cent.

And as Booth says, this is the simplest possible case. For someone in this situation claiming all the benefits they were entitled to, it's highly likely that at least one of the marginal rates would break 100 per cent – and that the tiny patch of 0 per cent at the very poorest end would disappear entirely.

While Bond and I agree on the problem, it's unlikely we would match minds on the solution. To me, the data above illustrates the fundamental folly of thinking that withdrawing benefits can ever really make economic sense. It is, prima facie, a strong argument for a Green-style citizen's income. Remove the conditionality from benefits and you have a system which encourages work at all income levels, rather than stamping on motivation the minute a family is no longer nominally "poor".

Raphaelle and Fabienne pose with one of their three 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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Who will win the Copeland by-election?

Labour face a tricky task in holding onto the seat. 

What’s the Copeland by-election about? That’s the question that will decide who wins it.

The Conservatives want it to be about the nuclear industry, which is the seat’s biggest employer, and Jeremy Corbyn’s long history of opposition to nuclear power.

Labour want it to be about the difficulties of the NHS in Cumbria in general and the future of West Cumberland Hospital in particular.

Who’s winning? Neither party is confident of victory but both sides think it will be close. That Theresa May has visited is a sign of the confidence in Conservative headquarters that, win or lose, Labour will not increase its majority from the six-point lead it held over the Conservatives in May 2015. (It’s always more instructive to talk about vote share rather than raw numbers, in by-elections in particular.)

But her visit may have been counterproductive. Yes, she is the most popular politician in Britain according to all the polls, but in visiting she has added fuel to the fire of Labour’s message that the Conservatives are keeping an anxious eye on the outcome.

Labour strategists feared that “the oxygen” would come out of the campaign if May used her visit to offer a guarantee about West Cumberland Hospital. Instead, she refused to answer, merely hyping up the issue further.

The party is nervous that opposition to Corbyn is going to supress turnout among their voters, but on the Conservative side, there is considerable irritation that May’s visit has made their task harder, too.

Voters know the difference between a by-election and a general election and my hunch is that people will get they can have a free hit on the health question without risking the future of the nuclear factory. That Corbyn has U-Turned on nuclear power only helps.

I said last week that if I knew what the local paper would look like between now and then I would be able to call the outcome. Today the West Cumbria News & Star leads with Downing Street’s refusal to answer questions about West Cumberland Hospital. All the signs favour Labour. 

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