Optimal tax rate for top one per cent may be as high as 83%

Paper suggests cutting taxes may divert attention to wasteful bargaining

Via Daniel Elton, a new(ish) paper (pdf) by economists Thomas Piketty, Emmanuel Saez and Stefanie Stantcheva makes the case for the optimal tax rate of the richest one per cent could be as high as 83 per cent.

The authors look at three possible ways in which top incomes respond to marginal tax rates.

The first is the "supply side" channel cited by Arthur Laffer when he developed his concept of the Laffer curve. Under this channel, marginal tax rates that are too high result in people doing less work than they otherwise would. Lower tax rates thus respond to more economic activity, and greater growth and higher tax revenue. Laffer's work was used by the Reagan administration to justify cutting the top rate in the US, from 70 per cent down to 28 per cent.

The second is the "tax avoidance" channel. This is the model cited by the Chancellor when he made the decision to cut the tax rate for top earners in Britain from 50 per cent to 45 per cent. The argument is that high tax rates increase tax avoidance, but the authors argue – in common with many of the Chancellors critics – that tax avoidance can be dealt with directly, writing that:

A better policy would be to first close loopholes so as to eliminate most tax avoidance opportunities and only then increase top tax rates.

The third is the "compensation bargaining" channel. The authors argue that:

While standard economic models assume that pay reflects productivity, there are strong reasons to be sceptical, especially at the top of the income distribution where the actual economic contribution of managers working in complex organisations is particularly difficult to measure.

As a result, top workers have ample opportunity to set their own pay, through bargaining harder or influencing compensation committees. The incentives for this economically wasteful activity are higher the lower tax rates are. Just as with the supply side model, tax cuts increase the wealth of the richest in society, but unlike that model they do not also increase growth; rather, the extra money for the rich comes from those poorer than them.

The authors, using their estimates of the elasticity of the various channels (that is, the magnitude of the effect), then calculate what the optimum rates would be. Under the first model, they find it to be roughly 57 per cent – 5 per cent higher than the top British tax rate is until the cut takes effect (National Insurance for top earners is 2per cent). Assessing the second model (Osborne's preferred argument), they find that the optimal tax rate would be 62 per cent, but argue that if the correct anti-avoidance and simplification measures were put in place, it would be 71 per cent.

The third model, however, outputs an optimal rate of 83 per cent. The authors still assume a minor supply-side effect, making up 40 per cent of the total elasticity, which is why it isn't higher. That is, they still assume that high tax rates will encourage the rich to work less, but they also assume that they will encourage the rich to put more of their effort into actual work, and less of it into "compensation bargaining".

How to decide between models one and three (the authors assume that once anti-avoidance measures are put in place, model two is the same as model one)? The former predicts that lower tax leads to more work, the latter that it merely leads to higher pay. As a result, tax cuts should be correlated with higher growth. Are they? Well, no:

As a result, the bargaining model can at least be said to be as realistic as the supply-side model; and if that's the case, the optimal top tax rate for most nations is likely to be far in excess of where it is set now.

For more, see the authors in the Boston Review, VoxEU, or their original paper (pdf).

Pictured: Laffer. No, wait, laughers. 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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Is defeat in Stoke the beginning of the end for Paul Nuttall?

The Ukip leader was his party's unity candidate. But after his defeat in Stoke, the old divisions are beginning to show again

In a speech to Ukip’s spring conference in Bolton on February 17, the party’s once and probably future leader Nigel Farage laid down the gauntlet for his successor, Paul Nuttall. Stoke’s by-election was “fundamental” to the future of the party – and Nuttall had to win.
 
One week on, Nuttall has failed that test miserably and thrown the fundamental questions hanging over Ukip’s future into harsh relief. 

For all his bullish talk of supplanting Labour in its industrial heartlands, the Ukip leader only managed to increase the party’s vote share by 2.2 percentage points on 2015. This paltry increase came despite Stoke’s 70 per cent Brexit majority, and a media narrative that was, until the revelations around Nuttall and Hillsborough, talking the party’s chances up.
 
So what now for Nuttall? There is, for the time being, little chance of him resigning – and, in truth, few inside Ukip expected him to win. Nuttall was relying on two well-rehearsed lines as get-out-of-jail free cards very early on in the campaign. 

The first was that the seat was a lowly 72 on Ukip’s target list. The second was that he had been leader of party whose image had been tarnished by infighting both figurative and literal for all of 12 weeks – the real work of his project had yet to begin. 

The chances of that project ever succeeding were modest at the very best. After yesterday’s defeat, it looks even more unlikely. Nuttall had originally stated his intention to run in the likely by-election in Leigh, Greater Manchester, when Andy Burnham wins the Greater Manchester metro mayoralty as is expected in May (Wigan, the borough of which Leigh is part, voted 64 per cent for Brexit).

If he goes ahead and stands – which he may well do – he will have to overturn a Labour majority of over 14,000. That, even before the unedifying row over the veracity of his Hillsborough recollections, was always going to be a big challenge. If he goes for it and loses, his leadership – predicated as it is on his supposed ability to win votes in the north - will be dead in the water. 

Nuttall is not entirely to blame, but he is a big part of Ukip’s problem. I visited Stoke the day before The Guardian published its initial report on Nuttall’s Hillsborough claims, and even then Nuttall’s campaign manager admitted that he was unlikely to convince the “hard core” of Conservative voters to back him. 

There are manifold reasons for this, but chief among them is that Nuttall, despite his newfound love of tweed, is no Nigel Farage. Not only does he lack his name recognition and box office appeal, but the sad truth is that the Tory voters Ukip need to attract are much less likely to vote for a party led by a Scouser whose platform consists of reassuring working-class voters their NHS and benefits are safe.
 
It is Farage and his allies – most notably the party’s main donor Arron Banks – who hold the most power over Nuttall’s future. Banks, who Nuttall publicly disowned as a non-member after he said he was “sick to death” of people “milking” the Hillsborough disaster, said on the eve of the Stoke poll that Ukip had to “remain radical” if it wanted to keep receiving his money. Farage himself has said the party’s campaign ought to have been “clearer” on immigration. 

Senior party figures are already briefing against Nuttall and his team in the Telegraph, whose proprietors are chummy with the beer-swilling Farage-Banks axis. They deride him for his efforts to turn Ukip into “NiceKip” or “Nukip” in order to appeal to more women voters, and for the heavy-handedness of his pitch to Labour voters (“There were times when I wondered whether I’ve got a purple rosette or a red one on”, one told the paper). 

It is Nuttall’s policy advisers - the anti-Farage awkward squad of Suzanne Evans, MEP Patrick O’Flynn (who famously branded Farage "snarling, thin-skinned and aggressive") and former leadership candidate Lisa Duffy – come in for the harshest criticism. Herein lies the leader's almost impossible task. Despite having pitched to members as a unity candidate, the two sides’ visions for Ukip are irreconcilable – one urges him to emulate Trump (who Nuttall says he would not have voted for), and the other urges a more moderate tack. 

Endorsing his leader on Question Time last night, Ukip’s sole MP Douglas Carswell blamed the legacy of the party’s Tea Party-inspired 2015 general election campaign, which saw Farage complain about foreigners with HIV using the NHS in ITV’s leaders debate, for the party’s poor performance in Stoke. Others, such as MEP Bill Etheridge, say precisely the opposite – that Nuttall must be more like Farage. 

Neither side has yet called for Nuttall’s head. He insists he is “not going anywhere”. With his febrile party no stranger to abortive coup and counter-coup, he is unlikely to be the one who has the final say.