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Theresa May's Brexit deal will cost £1,090 for every person in the UK, shock research claims today.

The economy will be 3.9% less valuable - £100bn a year by 2030 - under May's pact compared to if the nation stayed in the EU, a leading economic think tank said.

Sir Vince Cable of the anti-Brexit People's Vote campaign, which paid for the study, branded the deal an "absolute mess" and called for a second referendum.

The Lib Dem leader said: “This is a million miles from what the Brexiteers promised two years ago and will create decades of uncertainty.”

On Sunday two cabinet ministers failed to say whether or not the UK would be better off under Theresa May's Brexit deal or staying in the EU.

Foreign Secretary Jeremy Hunt damned it with faint praise saying it “mitigates most of the negative impacts” of leaving the EU.

He added: "I think we will not be significantly worse off or better off, but what it does mean is that we get our independence back, our sovereignty back."

While Housing Secretary James Brokenshire refused to directly address the question.

He told Sky News's Sophy Ridge on Sunday: “It does give effect to the vote of the British people, and therefore yes, things have now changed,” he said. “We’ve had that referendum, we’ve looked towards a future outside of the European Union, and this is a good deal for our country.”

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Today's report by the National Institute for Economic and Social Research (NIESR) is the first study of how the Prime Minister's offer compares to cancelling Brexit.

It comes days before the government will hand MPs its own analysis on the same question.

The NIESR estimated GDP would be 3.9% lower by 2030 under Mrs May's deal compared to staying in the EU – equivalent to £1,090 a head in 2016 prices.

Under an 'orderly' no deal Brexit GDP would be 5.5% lower, pushing the cost up to £1,330 per person, the study claimed.

(Image: PA)

If the 'backstop' is activated to continue EU customs rules in the UK, GDP would be 2.8% weaker – a cost of £700 per head, the study said.

The think tank claimed the drop was “largely because higher impediments to services trade make it less attractive to sell services from the UK.”

It added: “This discourages investment in the UK and ultimately means that UK workers are less productive than they would have been if the UK had stayed in the EU.”