Acca Insurance: No Lay 'Value'?

  • I’ve recently become more active in the acca insurance area, with good results, using the sequential lay method. I’ve seen the term ‘value’ bandied around with regards to the ‘no lay’ method, which got me playing with my calculator, and led me to find that the expected returns on both methods for a given accumulator were very similar. I’ll give a real life example below and basically my question is; are my calculations correct, and if so, what is the real advantage of the no lay method? Is it the fact that if you can handle the variance, it’s much less time consuming having to lay everything?

    5-fold, £20 stake, bookie odds 3.4, exchange combined odds 3.7, probability(all 5 winning)=27%, probability(1 leg losing)=41%

    Expected return for no lay method = 0.27*((20*3.4)-20) + 0.41*((0.8*20)-20) + 0.32*(-20) = £4.92
    Expected return for sequential lay method, assuming a harsh £2 (10%) qualifying loss = 0.4*((0.8*20)-2) + 0.6*(-2) = £4.40

    Thanks in advance for your help!!

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    Lucida 0

    It can’t. If you don’t lay you save on commission creating extra value.

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    Big Mick 0

    Assuming the sequential lay method is done by aiming to minimise qualifying loss on each potential outcome;

    The value from sequential laying comes from hitting the insurance refund, therefore EV is maximised when the probability of only one team losing is maximised.

    No lay on the other hand has value from winning the accumulator, because in fact you make a small loss if one team lets you down. Therefore EV for no lay is proportional to probability of all legs winning.

    I’m not an expert on this; that’s just how I see it so would be interested if anyone disagrees or has other theories?

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    jonfieldhouse 0

    hi sorry just a quick quick noob question, whats EV ?
    cheers

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    MbPunter 24

    Mick, of course if you aren’t laying you want to win the acca. But the value in either method is still from the free bet return if you have one loser.

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    Blue 3

    If bookie odds were true odds and you were not laying, without the free bet you would break-even on your accas over the long-term i.e. there is no profit in this situation. Of course, bookie odds are not true odds, so you actually make a loss.

    When the free bet is introduced, the situation becomes profitable not because you win more when you win, but because you lose less when you lose. Over the long run this means the situation now has a positive expectation.

    It is true the EV is maximised when the probability of only one leg losing is maximised, but this applies as much to the no lay method as it does to the lay method.

    It is actually possible for the sequential lay method to have a higher EV than the no lay method for the same selections/prices, but only if you have an arb on the overall acca back and lay prices, which is never very likely.

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    MbPunter 24

    Surely that’s still not possible. Any arb would still have better value in not laying because there’s no commission factor.

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    tennispunter 2

    Sorry have seen the feedback re the link and hopefully this will work?

    https://drive.google.com/file/d/0B6gt5D_cEs4IWTJSWHNFYTRmWDA/view?usp=sharing

    You can tell my technical skills are lacking somewhat

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    Blue 3

    @MbPunter Yes, it would have to be a big enough arb to offset the commission effect. Possible but, as I said, not very likely!

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    Grizzly65x 0

    Even with an Arb ( no matter how big ) I don’t see how laying can improve EV over not laying.

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    Big Mick 0

    Thanks for the explanation. The fact expected value on no lays is maximised when probability of only one team loses is maximised is slightly unexpected, but it seems to be true. Thanks for the explanation and apologies for my ignorance before

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    Blue 3

    No worries Mick, it can be a difficult subject to get your head around.

    Grizzly, imagine a situation where the back and lay price of each leg in an acca are the same and there is no commission to pay. In this instance, the EV for sequentially laying and not laying would be exactly the same.

    If you can see this, then imagine the lay price for one of the legs being reduced, creating such an arb. The no lay outcome EV is unaffected, but it has to create some additional value for the sequential lay outcome, so the EV for this must increase.

    If you don’t see it, you could stick some numbers into one of the many calculators kicking about and try it for yourself!

    Of course, this is largely theoretical. In practice, you won’t find an arb on acca back and lay prices (at least initially – there is the possibility prices will move in-running to create one), and you will have to pay commission. The closer the overall prices the less the difference in EV between laying and not laying, but in reality the overall back price is always going to be less than the overall lay price, which in turn means the EV from not laying is always going to be higher than the EV from laying.

    But, as others have rightly pointed out, this doesn’t mean you should always not lay, as you will now have variance to put up with, and you need to appreciate the effect this can have.

    If you do decide not to lay, you may still want to consider your approach. Having four short and one long leg may maximise the probability of only one leg losing and so maximise the EV, but it will also increase the variance. You might prefer to give up a bit of EV and go for five short legs instead.

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    Grizzly65x 0

    But if we are calculating EV based on the exchange Lay price ( which appears to be the norm here ), then the EV of the No Lay option is increased.

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    Blue 3

    The no lay option, by definition, isn’t affected by the lay price 🙂

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    MbPunter 24

    But assuming the new prices are true odds then of course we are getting greater EV.

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    Grizzly65x 0

    Blue if we are calculating our overall EV by reference to the exchanges then the EV is affected even in the non lay option.

    If we are not calculating EV in by reference to the exchange then what method are we using?

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