400% deposit bonus: £40 of credit worth £24.00, the same £40 staked costing £1.60

1

What four hundred per cent multiplies, and what it leaves alone

Four times a quantity is not money until the quantity is, and the quantity belongs to the reader. That is the whole difficulty with a ratio of this size: it reads as the most generous offer on any front page and is in fact the most demanding, and the two readings come out of one arithmetic fact. A ratio multiplies the payment to get the credit, and the condition multiplies the credit to get the play owed, so the play owed is the payment multiplied twice. Nothing in that chain is capable of being a quantity until a reader names the first figure in it.

This bill names £10.00 chosen by this publisher, a payment at the small end because a steep ratio is designed for the small end. Four hundred per cent of £10.00 is £40.00, the balance on screen becomes £50.00, and a condition of ten turnovers on the credited part asks for £400.00 of play. Those four quantities are all there is, and every page in this section begins by establishing the second of them rather than the fourth, because the second is what the valuation is about and the fourth is what the offer costs in effort.

What the ratio leaves alone is the rate at which a condition consumes credit. Two fifths of any credited sum goes to the house over ten turnovers at this return, whether the sum came of a one-to-one match or of this one, so £24.00 of £40.00 lasts in the same proportion as £15.00 of £25.00 does. A steep ratio therefore buys more credit and more obligation at an unchanged rate of loss. It does not buy a better deal; it buys a bigger one, and bigger here means more work.

One separation runs through all nine parts. The £10.00 came from the reader’s pocket, can be taken back out of it, carries no condition and was nobody’s gift. The £40.00 is a conditional entry in a ledger that turns into money only if £400.00 of play gets produced. Reporting £50.00 as the size of the offer merges a fifth of the reader’s own cash into a figure describing somebody else’s generosity, and that merger is the commonest way a steep ratio is made to look steeper still.

2

Forty pounds credited, four hundred pounds of play owed

The valuation uses one expression, E = B × (1 − W × (1 − RTP) ∕ g), and four quantities go into it. B is the credited balance, £40.00 here, with the payment excluded by definition. W is the number of turnovers demanded, which this bill sets at ten because a British licence forbids an incentive to ask for more from the rule sheet. RTP is the return, 96 per cent, which this publisher names as a general industry figure and ties to no title ours, and labelled as such. And g is the weighting, held at full here because no contribution rate has been published and an unstated term is read on this bill at the value kindest to the reader.

Worked out longhand: the condition is £400.00 of play, being £40.00 asked for ten times. Four pence in every pound staked does not come back, so £400.00 of play is expected to cost £16.00. Deduct £16.00 from the £40.00 that arrived and £24.00 is what the credited sum is worth. The short way to the same answer is that ten turnovers at this return costs two fifths of whatever is credited, and three fifths of £40.00 is £24.00.

Of the two figures, £400.00 is the one a reader should write down. It is forty times the £10.00 that went in, and at 20p a round a stake this publisher names it comes to 2,000 rounds of play. A reader who pictures a steep ratio as a short cut has the arithmetic upside down: the steeper the ratio, the more play stands between the payment and the money, and at four hundred per cent the amount of play is at its maximum for the family.

The usual two cautions hold. £24.00 is a mean across many attempts and not a result from one: most single runs at £400.00 of play off £40.00 of credit end with nothing left, and the mean is carried by the few that do not. And ten turnovers binds nobody here. The number is a British licence term, and an arrangement of this kind sits outside the Great Britain licensing regime, so a condition above ten leaves less than £24.00, as part seven sets out.

3

The same forty pounds put up by the reader, one time

Turn the question round, which is the half of it a publication with one column has no room for. Suppose the £40.00 is the reader’s own and goes through the identical play once. Nothing has been credited, so nothing has to be discharged: there is no multiple, no base to argue over, no weighting to hunt for, and no cap on what the winnings may reach. All that remains is the ordinary price of play, charged a single time.

Forty pounds through a play where four pence in the pound stays behind is expected back as £38.40, so the exercise costs £1.60. As a position it is minus £1.60. Against the £24.00 the credited sum is worth, the distance is £25.60, and 128 rounds at 20p is the same distance counted the way a reader counts.

£40.00 of matched credit worth £24.00 when a cashier puts it up and minus £1.60 when a reader does, £25.60 apart, which is 128 more rounds of play

Look at £1.60 beside £16.00 and the mechanism is plain. Play costs four pence in the pound on either side of this bill, charged without preference as to whose money is moving. The only difference is the volume: £40.00 staked once against £400.00 staked over ten passes. A condition does not make play dearer. It makes a reader buy ten times as much of it before anything can be taken away, and the bill for the nine extra passes is £14.40.

Which leaves a modest conclusion. A reader offered four hundred per cent on £10.00 is being offered something worth about £24.00 for no money, which is worth having. A reader who believes they have been handed £40.00, or that the offer is worth the £50.00 on screen, has overstated it by £16.00 or by £26.00 respectively. And a reader who has not worked out that £400.00 of play is the price of collecting has not seen the term that decides whether any of it happens at all.

4

Ten pounds in, and the largest obligation in the family

The clearest way to compare steep ratios with gentle ones is to hold the payment at a pound and read off what a pound buys. Everything on this bill scales, so a pound in tells a reader everything that £10.00 or £100.00 in would tell them, and the four rows below are the whole family side by side.

Columns three and four rise together and in lockstep, which is the finding this bill contributes to the family. Value per pound in goes 60p, £1.20, £1.80, £2.40, while play owed per pound in climbs through £10.00 and £20.00 and £30.00 to £40.00. Both quadruple between the top row and the bottom. A reader choosing the steepest ratio is choosing the best value per pound deposited and the heaviest workload per pound deposited, and no choice between those two is available, because they are the same number seen twice.

On this bill’s £10.00 payment the bottom row means £2.40 of value for each pound and £40.00 of play for each pound: £24.00 and £400.00 in total. A reader who finds £400.00 of play unreasonable has found the ratio unreasonable, and the correct response is a gentler ratio rather than a smaller payment, because shrinking the payment shrinks the value in exactly the proportion it shrinks the work.

There is one asymmetry worth naming. The value column is an expectation that most individual attempts will not see, while the play column is a requirement that has to be met in full by everybody who collects anything. So the two columns are not equally certain. £400.00 of play is a fact about the contract; £24.00 is an average over outcomes, and the reader who gets nothing has still produced the £400.00.

5

Four hundred pounds of play counted out in game cycles

A quantity of play stays abstract until a stake divides it, and that division is the step showing what a condition really asks of somebody. Four hundred pounds of required play is a different undertaking at £5.00 a go than at 5p a go, and the number of separate goes is the thing a reader will actually experience. British rules happen to supply two hard numbers for the top of that range, which makes the floor computable rather than guessable.

Eighty cycles is the hard floor beneath a British licence, and nobody arrives at it: getting there wants every last cycle staked at the legal maximum, which on a £50.00 balance would be exhausted in ten goes and would need the balance to keep winning in order to continue. The realistic lines are the lower two. Two thousand cycles at the stake named on this bill, or eight thousand at a stake a cautious reader might prefer, is the quantity of button pressing a steep ratio actually asks for, and it is the figure most likely to decide whether £24.00 is ever collected.

British rules also put a floor under how long a single cycle may take, which converts cycles into a minimum span. Where no cycle may run quicker than two and a half seconds off the rule sheet, 2,000 of them occupy 5,000 seconds and no fewer, being an hour and twenty-three minutes of pressing without a break, while 8,000 of them occupy five and a half hours. Those are floors on a licensed product. No such restraint reaches a cashier without that licence, so the same £400.00 might in principle be produced a great deal faster, and what a reader loses there is a protection rather than a convenience.

Two precisions that matter. The £5.00 and £2.00 ceilings are rules about online slots and reach no other kind of casino game, so a reader putting the £40.00 through something that is not a slot is outside them entirely. And both ceilings ride on a British remote casino licence, which is precisely the thing an arrangement of this kind holds no part of, so the eighty cycles in the table is what a licensed version of this arrangement would have to look like and not what this one does.

6

A fifth of the balance is the reader’s and stays out of the sum

One part payment to four parts credit is the mixture at this ratio, so £50.00 on screen is £10.00 that belongs to the reader and £40.00 that belongs to a condition. This is the gentlest proportion in the family and the separation still matters, because the absolute quantity of the reader’s own money inside the headline is the full £10.00 they handed across, and a valuation containing it is wrong by that amount.

Where a steep ratio differs from a gentle one is in how little the merger flatters. Adding the halves at one hundred per cent doubles the apparent gift; at four hundred it inflates it by a quarter. So a reader is least misled by a combined figure exactly where the obligation behind it is heaviest, which is an unhelpful pairing: the offer whose headline is nearest to honest is the one whose small print asks the most.

A British licence treats the £10.00 and the £40.00 as different kinds of thing, which is the best available confirmation that they are. Money a licensee holds for a customer has to be described in the terms: whether it would survive the firm failing, at what level of protection, and how that protection is arranged, told to the customer at the first payment and told again whenever the arrangement moves a licence condition. The ratings run from no protection with no segregation up to high protection. Credit still waiting on a condition is not money a licensee holds for anybody, so none of that describes the £40.00.

The withdrawal rules split the same way. A licensed contract may carry no term capping what a reader draws out of what they paid in, so the £10.00 is available on request. A cap on what credit may win is a separate device, escapes that prohibition, and may appear in the same terms without contradiction. Both can stand together. So one fifth of the £50.00 is protected from caps by rule and four fifths are not, and the line between them is invisible to anybody reading the total.

7

Where forty pounds of credit is valued at nothing

The ratio is absent from the expression that does the valuing, because credit goes in as B and comes straight back out of the proportion that survives. What is left depends on the turnovers demanded and on how large a part of a staked pound counts, and it runs out at twenty-five turnovers where a pound counts whole. Twenty-five is where a steep ratio expires and also where a gentle one does, so the two differ in size and not in longevity.

Past twenty-five turnovers the proportion goes below nought and the expression floors, which means a worthless credit rather than a harmful one. A condition fastened to credited money reaches only as far as the credited money, so the £10.00 that bought the arrangement is not exposed to the multiple however large the multiple gets. A reader whose terms ask fifty times has been given something worth nothing and has lost nothing by accepting it, beyond whatever they spend chasing it.

Weighting is the term that does real damage. Run the expression again, E = B × (1 − W × (1 − RTP) ∕ g), with a pound of staking counting as thirty pence towards the condition, which is the contribution rate written into the British regulator’s consultation on these rules off the rule sheet. Ten turnovers of £40.00 then calls for £1,333.33 of play rather than £400.00, the proportion surviving drops under nought, and the credited sum is valued at nought. Expiry arrives at seven and a half turnovers instead of twenty-five.

So the order of importance on a steep ratio runs weighting, then turnovers, then the ratio itself. Going from a one-to-one match up to this one multiplies credit and work alike by four and leaves the proportion untouched. Moving the weighting from a full pound to thirty pence takes £24.00 to nought without touching either. A reader who has read the headline and nothing else has read the one quantity in front of them incapable of changing the answer.

8

A practice balance of forty pounds, and what leaves it

A practice balance showing £40.00 hands over nothing. Nothing is not a smaller version of £24.00 and not £24.00 with a term in front of it. There is no channel out of a practice balance at all, so the figure on one is decoration, and that holds whether it reads £40.00 or five hundred pounds.

Put a practice balance through the four-column instrument at the head of this page and its free side is nought on every row, which makes the distance identical to the paid side and leaves the whole finding as minus £1.60. The noughts are the answer. A reader who has driven a practice £40.00 up to £600.00 has produced a pleasant afternoon and no information: the quantity being measured on this bill is a cost, and a practice balance is built so that no cost can occur in it.

Three arrangements can show £40.00 and be worth £24.00, minus £1.60 or nothing at all, and a screenshot of any of them is indistinguishable from a screenshot of the others. The quantity that separates them is a contract, and the contract is where a reader should be looking while the balance is what the design puts in front of them.

9

The ceiling nobody prints, and the cycle count left unstruck

Part five divided £400.00 by four stakes and got four cycle counts, and three of the four stakes came from somewhere: two from British rules and one from this publisher. The figure that would settle the matter is the stake ceiling an offer imposes while credited money is in play, and it is published in the headline essentially never. Without it the cycle count cannot be struck, because the arithmetic is £400.00 divided by a quantity nobody has stated. This bill therefore prints the divisions it can source and names the missing divisor rather than choosing one.

The second gap is the number of turnovers. Four hundred per cent describes a shape of offer and not a document, so no source states what a given reader will be asked to produce. Ten was used because a British licence stops an incentive asking for more, and the Great Britain licence imposing it is one no cashier behind this shape of offer holds, which makes ten the friendliest possible assumption rather than a likely one. Where neither the stake ceiling nor the turnover count is stated, the valuation is a range and the honest output is the range.

£25.60 is a floor, and the distinction carries weight. British rules stop a licensee’s condition at ten turnovers, so nothing lawful brings the distance below that figure while a count of five raises it to £33.60. Past the ceiling, where a cashier beyond the regime is free to go, the gap narrows: £9.60 at twenty turnovers, and £1.60 at twenty-five, which is one crossing of the credit. Put as a floor the finding reads at least and never at most, and that cannot cost a reader a penny.

The finding fits in five lines. This ratio describes what the reader pays in, so the £10.00 pulls in £40.00 of credit while a fifth of the £50.00 on screen was already theirs. Ten turnovers value that credit at £24.00 while the same £40.00 put up by the reader costs £1.60, which places the findings £25.60 or 128 rounds apart. The play owed is £400.00, forty times the payment and the heaviest ratio of work to money in the family. Counted out, that is eighty cycles at the British slot ceiling and 2,000 at the stake named here. And the credit is valued at nothing from twenty-five turnovers upwards, or from seven and a half if a staked pound counts as thirty pence.