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Premium Bonds

Are they worth it?
Pound coin

Nearly half the UK has bonds - they're by far the biggest savings product with more than £50 BILLION in 'em - but are they worth it? We separate fact and myth, using the unique Premium Bond Calculator.

It reveals your real chances of winning, based on how many bonds you have and how long you hold 'em, then compares with top savings and inflation.

Nearly half the UK has bonds - they're by far the biggest savings product with more than £50 BILLION in 'em - but are they worth it?

We separate fact and myth, revealing your real chances of winning, based on how many bonds you have and how long you hold 'em, then compares with top savings and inflation.

What will I win?

Bonds
(Max £40,000)
£
Over what time?
Figures may be rounded

How lucky am I?

How much have you won? £
Bonds held
(Max £40,000)
£
Over what time?
Figures may be rounded

The basics: How do Premium Bonds work?

Premium Bonds are simply a savings account you can put money into (and take it out when you want), where the interest paid is decided by a monthly prize draw. You can win between £25 and £1 million, tax-free - or, most likely, nothing.

The minimum holding is £100 (or £50 for monthly standing orders) and the maximum is £40,000. So put a grand in and you get 1,000 £1 bonds. Each of these is then individually entered into the prize draw. They can be bought online at NS&I's website, in post offices, over the phone, by post or through a regular monthly payment by standing order.

The bonds enter the prize draw one calendar month after purchase and continue until you cash them in, which can be at any time, though it can takes eight days to get your cash.

Some quick Premium Bond facts:

  • The capital is very safe.

    You don't risk the money you put in, only what interest you'll get. Premium Bonds are operated by NS&I which, rather than being a bank, is backed by the Treasury. This means you get 100% safety for your cash.

    However, NS&I can't play this card as strongly as it used to. The state now guarantees every UK-regulated savings account up to £85,000 per person, per institution.

    The maximum you can put in bonds is £40,000, which means it would be protected in any UK-registered account anyway (read the full Are Your Savings Safe? guide).

  • Who can buy them?

    Anyone aged over 16 can buy Premium Bonds and they may be held in the name of under-16s by parents or guardians. Grandparents or great-grandparents can buy then nominate the child's parent or guardian to hold them.

  • Winnings can be re-saved.

    You can opt-in to have winnings buy more bonds. This works in a similar way to compound interest in a normal savings account, as then your winnings have a chance of winning.

  • The winners are decided by random draw.

    NS&I sexes-up the draw by the personification of the IT equipment; it calls it Ernie (Electronic Random Number Indicator Equipment). In reality it's a simple, audited, random number process where every bond has an equal chance of winning, no matter where or when it was bought.

  • In a typical draw, each bond's chance of winning £1m is 24.7 billion to 1.

    Of £51.4 billion in Premium Bonds, each month, there are 1.98 million prizes given out of between £25 and £1 million each. Over 1.94 million of these are £25, 15,834 are £50 and £100 and the remaining 5,000 or so are between £500 and £1 million.

  • Claiming old prizes/bonds.

    There is currently £48 million of unclaimed prizes. To check if any are yours, go to the NS&I website. There's no time limit to claims (also read the Reclaiming Lost Assets guide).

    Premium Bonds can't be passed on, so either use them or cash them in. If a Premium Bond holder dies, the bonds only remain eligible to win for 12 months. If you believe a late relative had bonds, check it out as soon as possible.

Are they any good?

There's heavy positive spin about Premium Bonds, after all NS&I is state-backed, and they help generate Government funds and cash flow. But in pure cash terms, they're only worth considering as a place to put savings if you've filled your ISA allowance, you've used a high-interest paying bank account for some of your savings and you still have some left over.

You're likely to win even less than the interest rate

The value of prizes paid out is determined by an interest rate, which is currently 1.35%. It usually changes when the Bank of England base rate changes, but can also change depending on prevailing market savings rates, and on Government funding requirements.

The interest rate works like this. If you owned every Premium Bond in existence, the amount won over a year would be equal to 1.35% of what you put in. So very roughly, for every £100 put into Premium Bonds on average, you'd expect a £1.35 annual return.

Yet because of the way the prizes are allocated, the majority of people will win much less than the interest rate anyway. There's a full explanation of why this happens later, but for now you can use the Premium Bond Probability Calculator to see how likely you are to win an amount equal to the interest rate.

For many, they're worse than savings

Even if we assume you would win the £1.35 a year for every £100 saved, and compare this to the top Cash ISAs, you can easily beat this rate; the top cash ISA currently pays 1.55%.

However, historically low savings rates mean that for almost all taxpayers, the AVERAGE return on Premium Bonds is not awful, when compared with normal savings accounts (let's assume you've used your ISA allowance and have saved in interest-paying bank accounts).

But remember - most people won't win enough to match the interest rate. So it's worth weighing the guaranteed returns from savings accounts against the possibility of beating the odds with Premium Bonds.

How Premium Bonds compare (last updated November 2014)
Interest rate Returns based on £1,000 over a year
Non-taxpayer Basic tax Higher tax
Premium Bonds (1) 1.35% £13.50 £13.50 £13.50
Top savings account 1.4% £14.00 £11.20 £8.40
Top cash ISA 1.55% £15.50 £15.50 £15.50
(1) Someone with average luck is actually likely to win less than this

Don't think of it as 'winning'

The great sell is 'the lottery effect', the chance of winning a dream, and £1 million. Equally you could be the next space-walking astronaut, and your odds probably aren't that dissimilar! Your chance of winning the jackpot per £1 on the National Lottery is one in 14 million, far outstripping the one in nearly 26 BILLION chance of becoming a millionaire through a Premium Bond.

The fact payouts are commonly called 'wins' and not 'interest payments' is psychologically devious. Comments like "my friend wins £25 every few months" mislead. On clinical evaluation, someone with £10,000 of bonds should 'win' £100 a year; that's £25 each quarter. Yet the same cash in savings would 'win' a guaranteed £112 EVERY year (for basic rate taxpayers).

You can easily compare how much you are likely to make with Premium Bonds to inflation and the top savings accounts by using the Premium Bonds Calculator.

Are they ever worth it?

Once you're looking with a clinical financial eye, Premium Bonds are never all-star winners - though higher- and top-rate taxpayers have a much better chance of beating standard savings than others.

Some people will win more than the average. But it won't be many. Put £100 in Premium Bonds, calculate the probability and 19 in 20 people won't win a penny over a year, but one in 20 should win £25 or more! If you're that lucky person, this is a great return. Yet the odds of winning big get very long; use the Premium Bonds Calculator to gauge your chances.

They're not as good as they first appear

It's all about the actual prize distribution. Below is the distribution of prizes in a typical monthly draw. This can and does change (for example, sometimes there are extra prizes in promotional draws), but the number's still relatively low and doesn't change chances much.

Prize distribution (last updated November 2014)
Prize Level Number per month Odds of winning per £1 bond
£1 million 2 1 in 25,706,213,963
£100,000 4 1 in 8,568,760,015
£50,000 8 1 in 3,672,331,115
£25,000 17 1 in 1,658,472,431
£10,000 41 1 in 714,064,864
£5,000 83 1 in 331,694,541
£1,000 1,156 1 in 39,216,378
£500 3,468 1 in 10,758,038
£100 15,834 1 in 2,494,186
£50 15,834 1 in 1,410,614
£25 1,940,966 1 in 26,000
£0 51,410,685,472 Virtual certainty

Why most win less than the interest rate

With savings rates so low, Premium Bonds do not look like a bad investment if you pay tax, when compared with normal savings. However, real expected payouts are much less, massively skewed by the prize distribution. This is tricky, so let's start with an example.

A contest offers a £1,000,000 prize and lets a million people buy £1 tickets. It could then be argued the average winnings per ticket were £1, even though 999,999 people would win nothing.

The Premium Bond interest rate creates a similar, though less drastic, effect. It says the payout is 1.35%, so you'd expect to win £1.35 per £100. But that's impossible, there isn't a £1.35 prize; you can either win nothing, £25, or more than £25.

The jackpots, won by a tiny number of people, skew the payout average and make the interest rate look far more generous. The Premium Bonds Calculator cuts through this; its statistical analysis reveals what you're really likely to win - not always pleasant reading for bondholders.

  • £100 over a year.

    Put the minimum £100 in, and the interest rate predicts a win of £1.35 over a year - impossible as the smallest prize is £25. In fact, 19 of every 20 people with £100 in won't win a thing; leaving only one in 20 winning £25 or more.

  • £1,000 over a year.

    Put £1,000 in Premium Bonds over a year and while the interest rate predicts a £13.50 win, the majority of people (63%) still win nothing.

  • £40,000 for a year.

    Even if you put the biggest amount you're allowed to in Premium Bonds, your chance of winning the million in a year is still 1 in 53,141.

If you want to find out your chances of winning, check out our Premium Bonds Calculator.

Really nerdy: Bizarre probability outcomes!

On the surface, Premium Bonds don't look complex. NS&I happily lists enough data on its website to allow anyone with a calculator to work out the chance of one bond winning a £25 prize over a month (1 in 26,000, by the way).

To work out the chance of five thousand bonds winning £500 or more includes countless variables. To win £500 in one go could be one £500 prize, or five £100 prizes, or ten £50 prizes, or twenty £25 prizes; or a combination - making the maths incredibly complex!

Plus, the draws are monthly, so if you're calculating winnings over five years, it actually means you're calculating the interaction of probabilities for over 60 draws to get the various answers, making the probability virtually impenetrable. In the end we cracked it using a very advanced multinomial probability equation devised by a post-doctoral cosmology statistician!

And if you look at the outcome of this in practice, when you look at the table below you'll see some rather bizarre results.

How do premium bonds stack up? (as at November 2014)

Chance of beating inflation (RPI)
Amount of bonds Odds of winning £0 Amount needed to beat inflation Odds of earning this or more with Premium Bonds
Over one year
£100 95% chance £2.30 1 in 20
£1,000 63% chance £23 1 in 2.7
£5,000 10% chance £115 1 in 10
£30,000 Negligible £690 1 in 30
£40,000 Negligible £920 1 in 29
Over five years
£100 79% chance £11.50 1 in 5
£1,000 10% chance £115 1 in 10
£5,000 1 in 102,610 £575 1 in 31
£30,000 Negligible £3,450 1 in 125
£40,000 Negligible £4,600 1 in 125
Where the odds are better than 1 in 2, they are expressed as a percentage
Chance of beating a savings account
Amount of bonds Odds of winning £0 Basic rate Higher rate
Interest in savings account (1) Odds of earning this or more with Premium Bonds Interest in savings account (1) Odds of earning this or more with Premium Bonds
Over one year
£100 95% chance £1.12 1 in 20 £0.84 1 in 20
£1,000 63% chance £11.20 1 in 2.7 £8.40 1 in 2.7
£5,000 10% chance £56 1 in 2.5 £42 67%
£30,000 Negligible £336 57% £252 83%
£40,000 Negligible £448 63% £336 90%
Over five years
£100 79% chance £6.40 1 in 5 £4.20 1 in 5
£1,000 10% chance £56 1 in 2.4 £42 67%
£5,000 1 in 102,611 £280 53% £210 83%
£30,000 Negligible £1,680 71% £1,260 99%
£40,000 Negligible £2,240 76% £1,680 99.8%
Where the odds are better than 1 in 2, they are expressed as a percentage (1) Top saving account paying 1.4% interest, it assumes the interest is withdrawn, not compounded as this is how most people use Premium Bonds.

As you can see from the results, with savings rates so low, Premium Bonds don't look so bad, assuming that you have average luck - and that you get what the probabilities would say that you should.

With rates so low, we don't get many anomalies. But we can see one when we compare Premium Bonds to inflation. The results show that you're more likely to beat inflation with £1,000 in bonds than you are with £5,000, over a year. But it's complex, so all but stats nerds should skip the explanation coming next, as it really is quite esoteric.

This is because the likelihood of winning peaks at or just under a payout value which can be made up from a combination of prizes, so where the amount needed to beat the savings account is only just above one of those, the odds of beating it increase.

Let's take it down to a basic example: if you've £1,000, you'd need it to grow by £23 in a year to beat inflation. To do this, you need just one prize of £25 or above.

Yet someone with £5,000 would need their money to grow by £115 to keep pace with inflation. To beat this takes at least 5 x £25 wins or 3 x £50 wins, or two £100 wins (though a combination of them would suffice). But because you need to win so many more prizes, the probability of doing so drops back down.

But do remember that our calculator's results are for someone with 'average' luck - and that there is no law of averages. You may do a lot better than this. Or you may do much worse.

In summary: The results

Look at Premium Bonds with a clinical financial eye and they're worth considering as a serious place to put savings if you're a higher or additional-rate taxpayer who has used up your Cash ISA allocation and put as much as you can into interest-paying bank accounts.

We've long been dismissive of Premium Bonds as you could get much higher returns elsewhere, but with current savings rates so low, it's now less clear if you should go for Premium Bonds or normal savings. For basic-rate taxpayers it's much of a muchness, but for higher-rate taxpayers Premium Bonds are a decent bet - and there's always the chance of winning big.

Premium Bonds are all about your mentality. They do protect your cash, so it's fine to put a non-significant portion of your money in them, provided you're aware it's more for fun than returns. Before deciding, use the calculator to look at the real odds. If you're willing to take the gamble after that - then it's fine.

Many people often think "I'm likely to get about 1.35% and there's a small chance of winning a million". But the main point is that this isn't correct. You're actually likely to get quite a lot less than 1.35%, and there's a negligible chance of winning a million. If you know and you're okay with this, then investing in Premium Bond isn't a bad plan.