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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Harmful gender stereotypes in ads have real impact – so we're challenging them

The ASA must make sure future generations don't recoil at our commercials.

July’s been quite the month for gender in the news. From Jodie Whittaker’s casting in Doctor Who, to trains “so simple even women can drive them”, to how much the Beeb pays its female talent, gender issues have dominated. 

You might think it was an appropriate time for the Advertising Standards Authority (ASA) to launch our own contribution to the debate, Depictions, Perceptions and Harm: a report on gender stereotypes in advertising, the result of more than a year’s careful scrutiny of the evidence base.

Our report makes the case that, while most ads (and the businesses behind them) are getting it right when it comes to avoiding damaging gender stereotypes, the evidence suggests that some could do with reigning it in a little. Specifically, it argues that some ads can contribute to real world harms in the way they portray gender roles and characteristics.

We’re not talking here about ads that show a woman doing the cleaning or a man the DIY. It would be most odd if advertisers couldn’t depict a woman doing the family shop or a man mowing the lawn. Ads cannot be divorced from reality.

What we’re talking about is ads that go significantly further by, for example, suggesting through their content and context that it’s a mum’s sole duty to tidy up after her family, who’ve just trashed the house. Or that an activity or career is inappropriate for a girl because it’s the preserve of men. Or that boys are not “proper” boys if they’re not strong and stoical. Or that men are hopeless at simple parental or household tasks because they’re, well...men.

Advertising is only a small contributor to gender stereotyping, but a contributor it is. And there’s ever greater recognition of the harms that can result from gender stereotyping. Put simply, gender stereotypes can lead us to have a narrower sense of ourselves – how we can behave, who we can be, the opportunities we can take, the decisions we can make. And they can lead other people to have a narrower sense of us too. 

That can affect individuals, whatever their gender. It can affect the economy: we have a shortage of engineers in this country, in part, says the UK’s National Academy of Engineering, because many women don’t see it as a career for them. And it can affect our society as a whole.

Many businesses get this already. A few weeks ago, UN Women and Unilever announced the global launch of Unstereotype Alliance, with some of the world’s biggest companies, including Proctor & Gamble, Mars, Diageo, Facebook and Google signing up. Advertising agencies like JWT and UM have very recently published their own research, further shining the spotlight on gender stereotyping in advertising. 

At the ASA, we see our UK work as a complement to an increasingly global response to the issue. And we’re doing it with broad support from the UK advertising industry: the Committees of Advertising Practice (CAP) – the industry bodies which author the UK Advertising Codes that we administer – have been very closely involved in our work and will now flesh out the standards we need to help advertisers stay on the right side of the line.

Needless to say, our report has attracted a fair amount of comment. And commentators have made some interesting and important arguments. Take my “ads cannot be divorced from reality” point above. Clearly we – the UK advertising regulator - must take into account the way things are, but what should we do if, for example, an ad is reflecting a part of society as it is now, but that part is not fair and equal? 

The ad might simply be mirroring the way things are, but at a time when many people in our society, including through public policy and equality laws, are trying to mould it into something different. If we reign in the more extreme examples, are we being social engineers? Or are we simply taking a small step in redressing the imbalance in a society where the drip, drip, drip of gender stereotyping over many years has, itself, been social engineering. And social engineering which, ironically, has left us with too few engineers.

Read more: Why new rules on gender stereotyping in ads benefit men, too

The report gave news outlets a chance to run plenty of well-known ads from yesteryear. Fairy Liquid, Shake 'n' Vac and some real “even a woman can open it”-type horrors from decades ago. For some, that was an opportunity to make the point that ads really were sexist back then, but everything’s fine on the gender stereotyping front today. That argument shows a real lack of imagination. 

History has not stopped. If we’re looking back at ads of 50 years ago and marvelling at how we thought they were OK back then, despite knowing they were products of their time, won’t our children and grandchildren be doing exactly the same thing in 50 years’ time? What “norms” now will seem antiquated and unpleasant in the future? We think the evidence points to some portrayals of gender roles and characteristics being precisely such norms, excused by some today on the basis that that’s just the way it is.

Our report signals that change is coming. CAP will now work on the standards so we can pin down the rules and official guidance. We don’t want to catch advertisers out, so we and CAP will work hard to provide as much advice and training as we can, so they can get their ads right in the first place. And from next year, we at the ASA will make sure those standards are followed, taking care that our regulation is balanced and wholly respectful of the public’s desire to continue to see creative ads that are relevant, entertaining and informative. 

You won’t see a sea-change in the ads that appear, but we hope to smooth some of the rougher edges. This is a small but important step in making sure modern society is better represented in ads.

Guy Parker is CEO of the ASA