"Brown's mistake" has already been reversed

The personal allowance has grown to undo any losses the abolition of the 10p rate inflicted.

Ed Miliband has committed to introducing a mansion tax, and using the money to fund a re-introduction of the 10p tax band, saying:

We would tax houses worth over £2 million. And we would use the money to cut taxes for working people. We would put right a mistake made by Gordon Brown and the last Labour government. We would use the money raised by a mansion tax to reintroduce a lower 10 pence starting rate of tax, with the size of the band depending on the amount raised. This would benefit 25 million basic rate taxpayers.

The original 10 pence tax band was applied on incomes between £0 and £2,230, once the personal allowance was taken into account. Its abolition was used to fund the reduction in the basic rate of tax from 22p to 20p. But while Miliband says he will "put right [the] mistake made by Gordon Brown", he's not going to be reversing the basic rate cut. Instead, the money will come from the mansion tax.

But the Social Market Foundation's Ian Mulheirn points out that that mansion tax is not expected to raise anywhere near as much as two per cent on the basic rate of tax would. He tells me that their expectation for a mansion tax on houses over £2m is in the low billions — probably around £2bn or £3bn.

But every billion pounds raised would only pay for a 10p tax band of between two and three hundred pounds, he says:

We've got about 30 million income taxpayers in the UK, once you take the personal allowance into account. Assuming that they all would benefit by the full amount, then if you've got £1bn to play with, you could have a tax band of about £330.

A tax band of £330 would return £33 to each taxpayer. If the mansion tax raises the high end of estimates, then the band could be around £1000, returning £100 to each taxpayer. That's not to be sniffed at, but it's less than half of the size of the abolished band. It's not putting right Brown's mistake, but it ameliorates it slightly.

But actually, Brown's mistake has already been largely put right.

In 2007, the last year of the 10p tax rate, the personal allowance stood at £5,035. With the 10p band on top, basic rate tax started at £7,265. Uprated for inflation, that will be worth slightly under £9000 in the tax year starting in 2013.

In that same year, the personal allowance will stand at £9,440. Someone who would in 2007 have been paying only the 10p tax rate is today paying no tax at all. Miliband's actions, if introduced in 2015, will likely introduce a reduced tax rate for people earning between £10,000 and £11,000 to complement a zero tax rate for people earning less than that. That's likely a good thing; but it's a new thing, not a reversal of Brown's actions. They have already been undone.

Of course, if you have to delve into uprating tax bands by inflation to prove a point, it's not going to fly very well in political debates. That's why, as George writes, politically, the move is a masterstroke.

Brown walks through Rugby. 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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I believe only Yvette Cooper has the breadth of support to beat Jeremy Corbyn

All the recent polling suggests Andy Burnham is losing more votes than anyone else to Jeremy Corbyn, says Diana Johnson MP.

Tom Blenkinsop MP on the New Statesman website today says he is giving his second preference to Andy Burnham as he thinks that Andy has the best chance of beating Jeremy.

This is on the basis that if Yvette goes out first all her second preferences will swing behind Andy, whereas if Andy goes out first then his second preferences, due to the broad alliance he has created behind his campaign, will all or largely switch to the other male candidate, Jeremy.

Let's take a deep breath and try and think through what will be the effect of preferential voting in the Labour leadership.

First of all, it is very difficult to know how second preferences will switch. From my telephone canvassing there is some rather interesting voting going on, but I don't accept that Tom’s analysis is correct. I have certainly picked up growing support for Yvette in recent weeks.

In fact you can argue the reverse of Tom’s analysis is true – Andy has moved further away from the centre and, as a result, his pitch to those like Tom who are supporting Liz first is now narrower. As a result, Yvette is more likely to pick up those second preferences.

Stats from the Yvette For Labour team show Yvette picking up the majority of second preferences from all candidates – from the Progress wing supporting Liz to the softer left fans of Jeremy – and Andy's supporters too. Their figures show many undecideds opting for Yvette as their first preference, as well as others choosing to switch their first preference to Yvette from one of the other candidates. It's for this reason I still believe only Yvette has the breadth of support to beat Jeremy and then to go on to win in 2020.

It's interesting that Andy has not been willing to make it clear that second preferences should go to Yvette or Liz. Yvette has been very clear that she would encourage second preferences to be for Andy or Liz.

Having watched Andy on Sky's Murnaghan show this morning, he categorically states that Labour will not get beyond first base with the electorate at a general election if we are not economically credible and that fundamentally Jeremy's economic plans do not add up. So, I am unsure why Andy is so unwilling to be clear on second preferences.

All the recent polling suggests Andy is losing more votes than anyone else to Jeremy. He trails fourth in London – where a huge proportion of our electorate is based.

So I would urge Tom to reflect more widely on who is best placed to provide the strongest opposition to the Tories, appeal to the widest group of voters and reach out to the communities we need to win back. I believe that this has to be Yvette.

The Newsnight focus group a few days ago showed that Yvette is best placed to win back those former Labour voters we will need in 2020.

Labour will pay a massive price if we ignore this.

Diana Johnson is the Labour MP for Hull North.