"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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Want to send a positive Brexit message to Europe? Back Arsene Wenger for England manager

Boris Johnson could make a gesture of goodwill. 

It is hard not to feel some sympathy for Sam Allardyce, who coveted the England job for so many years, before losing it after playing just a single match. Yet Allardyce has only himself to blame and the Football Association were right to move quickly to end his tenure.

There are many candidates for the job. The experience of Alan Pardew and the potential of Eddie Howe make them strong contenders. The FA's reported interest in Ralf Rangner sent most of us scurrying to Google to find out who the little known Leipzig manager is. But the standout contender is Arsenal's French boss Arsene Wenger, 

Would England fans accept a foreign manager? The experience of Sven Goran-Eriksson suggests so, especially when the results are good. Nobody complained about having a Swede in charge the night that England won 5-1 in Munich, though Sven's sides never won the glittering prizes, the Swede proving perhaps too rigidly English in his commitment to the 4-4-2 formation.

Fabio Capello's brief stint was less successful. He never seemed happy in the English game, preferring to give interviews in Italian. That perhaps contributed to his abrupt departure, falling out with his FA bosses after he seemed unable to understand why allegations of racial abuse by the England captain had to be taken seriously by the governing body.

Arsene Wenger could not be more different. Almost unknown when he arrived to "Arsene Who?" headlines two decades ago, he became as much part of North London folklore as all-time great Arsenal and Spurs bosses, Herbert Chapman or Bill Nicholson, his own Invicibles once dominating the premier league without losing a game all season. There has been more frustration since the move from Highbury to the Emirates, but Wenger's track record means he ranks among the greatest managers of the last hundred years - and he could surely do a job for England.

Arsene is a European Anglophile. While the media debate whether or not the FA Cup has lost its place in our hearts, Wenger has no doubt that its magic still matters, which may be why his Arsenal sides have kept on winning it so often. Wenger manages a multinational team but England's football traditions have certainly got under his skin. The Arsenal boss has changed his mind about emulating the continental innovation of a winter break. "I would cry if you changed that", he has said, citing his love of Boxing Day football as part of the popular tradition of English football.

Obviously, the FA must make this decision on football grounds. It is an important one to get right. Fifty years of hurt still haven't stopped us dreaming, but losing to Iceland this summer while watching Wales march to the semi-finals certainly tested any lingering optimism. Wenger was as gutted as anybody. "This is my second country. I was absolutely on my knees when we lost to Iceland. I couldn't believe it" he said.

The man to turn things around must clearly be chosen on merit. But I wonder if our new Foreign Secretary Boris Johnson - albeit more of a rugger man himself - might be tempted to quietly  suggest in the corridors of footballing power that the appointment could play an unlikely role in helping to get the mood music in place which would help to secure the best Brexit deal for Britain, and for Europe too.

Johnson does have one serious bit of unfinished business from the referendum campaign: to persuade his new boss Theresa May that the commitments made to European nationals in Britain must be honoured in full.  The government should speed up its response and put that guarantee in place. 

Nor should that commitment to 3m of our neighbours and friends be made grudgingly.

So Boris should also come out and back Arsene for the England job, as a very good symbolic way to show that we will continue to celebrate the Europeans here who contribute so much to our society.

British negotiators will be watching the twists and turns of the battle for the Elysee Palace, to see whether Alain Juppe, Nicolas Sarkozy end up as President. It is a reminder that other countries face domestic pressures over the negotiations to come too. So the political negotiations will be tough - but we should make sure our social and cultural relations with Europe remain warm.

More than half of Britons voted to leave the political structures of the European Union in June. Most voters on both sides of the referendum had little love of the Brussels institutions, or indeed any understanding of what they do.

But how can we ensure that our European neighbours and friends understand and hear that this was no rejection of them - and that so many of the ways that we engage with our fellow Europeans rom family ties to foreign holidays, the European contributions to making our society that bit better - the baguettes and cappuccinos, cultural links and sporting heroes remain as much loved as ever.

We will see that this weekend when nobody in the golf clubs will be asking who voted Remain and who voted Leave as we cheer on our European team - seven Brits playing in the twelve-strong side, alongside their Spanish, Belgian, German, Irish and Swedish team-mates.

And now another important opportunity to get that message across suddenly presents itself.

Wenger for England. What better post-Brexit commitment to a new Entente Cordiale could we possibly make?

Sunder Katwala is director of British Future and former general secretary of the Fabian Society.