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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Stability is essential to solve the pension problem

The new chancellor must ensure we have a period of stability for pension policymaking in order for everyone to acclimatise to a new era of personal responsibility in retirement, says 

There was a time when retirement seemed to take care of itself. It was normal to work, retire and then receive the state pension plus a company final salary pension, often a fairly generous figure, which also paid out to a spouse or partner on death.

That normality simply doesn’t exist for most people in 2016. There is much less certainty on what retirement looks like. The genesis of these experiences also starts much earlier. As final salary schemes fall out of favour, the UK is reaching a tipping point where savings in ‘defined contribution’ pension schemes become the most prevalent form of traditional retirement saving.

Saving for a ‘pension’ can mean a multitude of different things and the way your savings are organised can make a big difference to whether or not you are able to do what you planned in your later life – and also how your money is treated once you die.

George Osborne established a place for himself in the canon of personal savings policy through the introduction of ‘freedom and choice’ in pensions in 2015. This changed the rules dramatically, and gave pension income a level of public interest it had never seen before. Effectively the policymakers changed the rules, left the ring and took the ropes with them as we entered a new era of personal responsibility in retirement.

But what difference has that made? Have people changed their plans as a result, and what does 'normal' for retirement income look like now?

Old Mutual Wealth has just released. with YouGov, its third detailed survey of how people in the UK are planning their income needs in retirement. What is becoming clear is that 'normal' looks nothing like it did before. People have adjusted and are operating according to a new normal.

In the new normal, people are reliant on multiple sources of income in retirement, including actively using their home, as more people anticipate downsizing to provide some income. 24 per cent of future retirees have said they would consider releasing value from their home in one way or another.

In the new normal, working beyond your state pension age is no longer seen as drudgery. With increasing longevity, the appeal of keeping busy with work has grown. Almost one-third of future retirees are expecting work to provide some of their income in retirement, with just under half suggesting one of the reasons for doing so would be to maintain social interaction.

The new normal means less binary decision-making. Each choice an individual makes along the way becomes critical, and the answers themselves are less obvious. How do you best invest your savings? Where is the best place for a rainy day fund? How do you want to take income in the future and what happens to your assets when you die?

 An abundance of choices to provide answers to the above questions is good, but too much choice can paralyse decision-making. The new normal requires a plan earlier in life.

All the while, policymakers have continued to give people plenty of things to think about. In the past 12 months alone, the previous chancellor deliberated over whether – and how – to cut pension tax relief for higher earners. The ‘pensions-ISA’ system was mooted as the culmination of a project to hand savers complete control over their retirement savings, while also providing a welcome boost to Treasury coffers in the short term.

During her time as pensions minister, Baroness Altmann voiced her support for the current system of taxing pension income, rather than contributions, indicating a split between the DWP and HM Treasury on the matter. Baroness Altmann’s replacement at the DWP is Richard Harrington. It remains to be seen how much influence he will have and on what side of the camp he sits regarding taxing pensions.

Meanwhile, Philip Hammond has entered the Treasury while our new Prime Minister calls for greater unity. Following a tumultuous time for pensions, a change in tone towards greater unity and cross-department collaboration would be very welcome.

In order for everyone to acclimatise properly to the new normal, the new chancellor should commit to a return to a longer-term, strategic approach to pensions policymaking, enabling all parties, from regulators and providers to customers, to make decisions with confidence that the landscape will not continue to shift as fundamentally as it has in recent times.

Steven Levin is CEO of investment platforms at Old Mutual Wealth.

To view all of Old Mutual Wealth’s retirement reports, visit: www.oldmutualwealth.co.uk/ products-and-investments/ pensions/pensions2015/