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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The Tinder dating app isn't just about sex – it's about friendship, too. And sex

The lines between sex, love and friendship are blurrier than ever, as I found out quickly while using the app.

The first time I met someone using Tinder, the free dating app that requires users to swipe left for “no” and right for “yes” before enabling new “matches” to chat, it was an unqualified success. I should probably qualify that. I was newly single after five years in a committed relationship and wasn’t looking for anything more than fun, friendship and, well, who knows. A few weeks earlier I had tried to give my number to a girl in a cinema café in Brixton. I wrote it on a postcard I’d been using as a bookmark. She said she had a boyfriend, but wanted to keep the postcard. I had no date and I lost my page.

My Tinder date was a master’s student from Valencia called Anna (her name wasn’t really Anna, of course, I’m not a sociopath). When I arrived at the appointed meeting place, she told me I was far more handsome IRL (“in real life”) than my pictures suggested. I was flattered and full of praise for the directness of continental Europeans but also thought sadly to myself: “If only the same could be said about you.”

Anna and I became friends, at least for a while. The date wasn’t a success in the traditional sense of leading us into a contract based on exclusivity, an accumulating cache of resentments and a mortgage, but it had put me back in the game (an appropriate metaphor – people speak regularly of “playing” with the app).

According to Sean Rad, the co-founder who launched Tinder in late 2012, the service was invented for people like me. “It was really a way to overcome my own problems,” he told the editor of Cosmopolitan at an event in London last month. “It was weird to me, to start a conversation [with a stranger]. Once I had an introduction I was fine, but it’s that first step. It’s difficult for a lot of people.” After just one outing, I’d learned two fundamental lessons about the world of online dating: pretty much everyone has at least one decent picture of themselves, and meeting women using a so-called hook-up app is seldom straightforwardly about sex.

Although sometimes it is. My second Tinder date took place in Vienna. I met Louisa (ditto, name) outside some notable church or other one evening while visiting on holiday (Tinder tourism being, in my view, a far more compelling way to get to know a place than a cumbersome Lonely Planet guide). We drank cocktails by the Danube and rambled across the city before making the romantic decision to stay awake all night, as she had to leave early the next day to go hiking with friends. It was just like the Richard Linklater movie Before Sunrise – something I said out loud more than a few times as the Aperol Spritzes took their toll.

When we met up in London a few months later, Louisa and I decided to skip the second part of Linklater’s beautiful triptych and fast-track our relationship straight to the third, Before Midnight, which takes place 18 years after the protagonists’ first meet in Vienna, and have begun to discover that they hate each others’ guts.

Which is one of the many hazards of the swiping life: unlike with older, web-based platforms such as Match.com or OkCupid, which require a substantial written profile, Tinder users know relatively little about their prospective mates. All that’s necessary is a Facebook account and a single photograph. University, occupation, a short bio and mutual Facebook “likes” are optional (my bio is made up entirely of emojis: the pizza slice, the dancing lady, the stack of books).

Worse still, you will see people you know on Tinder – that includes colleagues, neighbours and exes – and they will see you. Far more people swipe out of boredom or curiosity than are ever likely to want to meet up, in part because swiping is so brain-corrosively addictive.

While the company is cagey about its user data, we know that Tinder has been downloaded over 100 million times and has produced upwards of 11 billion matches – though the number of people who have made contact will be far lower. It may sound like a lot but the Tinder user-base remains stuck at around the 50 million mark: a self-selecting coterie of mainly urban, reasonably affluent, generally white men and women, mostly aged between 18 and 34.

A new generation of apps – such as Hey! Vina and Skout – is seeking to capitalise on Tinder’s reputation as a portal for sleaze, a charge Sean Rad was keen to deny at the London event. Tinder is working on a new iteration, Tinder Social, for groups of friends who want to hang out with other groups on a night out, rather than dating. This makes sense for a relatively fresh business determined to keep on growing: more people are in relationships than out of them, after all.

After two years of using Tinder, off and on, last weekend I deleted the app. I had been visiting a friend in Sweden, and took it pretty badly when a Tinder date invited me to a terrible nightclub, only to take a few looks at me and bolt without even bothering to fabricate an excuse. But on the plane back to London the next day, a strange thing happened. Before takeoff, the woman sitting beside me started crying. I assumed something bad had happened but she explained that she was terrified of flying. Almost as terrified, it turned out, as I am. We wound up holding hands through a horrific patch of mid-air turbulence, exchanged anecdotes to distract ourselves and even, when we were safely in sight of the ground, a kiss.

She’s in my phone, but as a contact on Facebook rather than an avatar on a dating app. I’ll probably never see her again but who knows. People connect in strange new ways all the time. The lines between sex, love and friendship are blurrier than ever, but you can be sure that if you look closely at the lines, you’ll almost certainly notice the pixels.

Philip Maughan is Assistant Editor at the New Statesman.

This article first appeared in the 26 May 2016 issue of the New Statesman, The Brexit odd squad