Would Newcastle have to pay back £4bn if its Wonga sponsorship was a loan?

Interest is tricky.

When Wonga announced their intention to sponsor Newcastle United FC, it generated no small amount of opprobrium. Despite the company's best attempts to generate a positive image for itself, it is still largely seen as a payday loan company, preying on the poor for a quick buck. So it was no surprise that smart a demonstration of that fact very quickly made the rounds:

Anything with over 2,000 retweets is going to get fact-checked a lot, and debates soon broke out over whether the number was accurate. Is it?

Wonga's "representative APR" is 4214 per cent. When you take out a loan with it, it decides at the beginning of the period what your interest is, and charges it to you on the total amount of capital borrowed over that period. In other words, it doesn't compound the interest - which makes sense, because it would be hard to compound anything over a loan as short month. As a result, if you were charged an annual interest rate of 4214 per cent, then at the end of a four year period you would have to pay back: 

£24,000,000 + £24,000,000 x 42.14 x 4 = £4,069,440,000.00                                 

(That's the capital, plus four years interest.) A shade over £4bn. So James Dixon is correct.

Except that the 4214 per cent APR is already compounded. As Wonga explains, industry regulations require it to present interest at an annual rate even if it doesn't make annual loans. To do this, it is required to take the amount of interest you would pay on its longest loan, a month-long one, and act as though you rolled it over, taking out larger and larger loans to pay off the interest as you go along. If we compounded Newcastle's loan similarly, then after four years it would owe:

£24,000,000 x (1+42.14)^4 = £83,125,028,034,051.84                                 

That is £83 quadrillion. It's over one hundred times world GDP, and in the ballpark for the total value of everything on earth.

But Wonga would maintain that using that interest rate is unfair. Although they are required to present their representative APR in that manner, they have never, and would never, charge it to a customer. The annual rate of interest which they actually charge is "just" 360 per cent, and the rest is made up of the compounding which they are forced to assume. If Newcastle's loan was taken out at that rate, it would have to pay back:

£24,000,000 + £24,000,000 × 3.6 x 4 = £369,600,000.00                                 

£370m is still quite a lot to pay for £24m, but it's nowhere near billions. And in actual fact, Newcastle wouldn't even pay that much. It's not a person, it's a business, and Wonga have - controversially - launched a division exclusively for lending to businesses. The largest and longest loan it offers is £15,000 for a year, which costs £19,350 to pay back, implying an APR of 29 per cent. If Newcastle borrowed £24m for four years at that rate, then if the interest compounded, it would equal:

£24,000,000 × (1+0.29)^4 = £66,461,491.44                                 

And if it was charged in one lump sum, it would equal:

£24,000,000 + £24,000,000 × 0.29 x 4 = £51,840,000.00                                 

The root of the problem is that Wonga isn't actually in the business of making multi-year, multi-million-pound loans. The assumptions we make in trying to squeeze their business model into a shape that lets us make that comparison are important, because they're the difference between paying back £52m and £83qdrn.

Front page of Wonga.com

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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It's Gary Lineker 1, the Sun 0

The football hero has found himself at the heart of a Twitter storm over the refugee children debate.

The Mole wonders what sort of topsy-turvy universe we now live in where Gary Lineker is suddenly being called a “political activist” by a Conservative MP? Our favourite big-eared football pundit has found himself in a war of words with the Sun newspaper after wading into the controversy over the age of the refugee children granted entry into Britain from Calais.

Pictures published earlier this week in the right-wing press prompted speculation over the migrants' “true age”, and a Tory MP even went as far as suggesting that these children should have their age verified by dental X-rays. All of which leaves your poor Mole with a deeply furrowed brow. But luckily the British Dental Association was on hand to condemn the idea as unethical, inaccurate and inappropriate. Phew. Thank God for dentists.

Back to old Big Ears, sorry, Saint Gary, who on Wednesday tweeted his outrage over the Murdoch-owned newspaper’s scaremongering coverage of the story. He smacked down the ex-English Defence League leader, Tommy Robinson, in a single tweet, calling him a “racist idiot”, and went on to defend his right to express his opinions freely on his feed.

The Sun hit back in traditional form, calling for Lineker to be ousted from his job as host of the BBC’s Match of the Day. The headline they chose? “Out on his ears”, of course, referring to the sporting hero’s most notable assets. In the article, the tabloid lays into Lineker, branding him a “leftie luvvie” and “jug-eared”. The article attacked him for describing those querying the age of the young migrants as “hideously racist” and suggested he had breached BBC guidelines on impartiality.

All of which has prompted calls for a boycott of the Sun and an outpouring of support for Lineker on Twitter. His fellow football hero Stan Collymore waded in, tweeting that he was on “Team Lineker”. Leading the charge against the Murdoch-owned title was the close ally of Labour leader Jeremy Corbyn and former Channel 4 News economics editor, Paul Mason, who tweeted:

Lineker, who is not accustomed to finding himself at the centre of such highly politicised arguments on social media, responded with typical good humour, saying he had received a bit of a “spanking”.

All of which leaves the Mole with renewed respect for Lineker and an uncharacteristic desire to watch this weekend’s Match of the Day to see if any trace of his new activist persona might surface.


I'm a mole, innit.