1. 03-09-10 08:17 PM #1
    Rich Boy
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    Optimal wager for fixed Bankroll

    How can I calculate the optimal wager if I keep my bankroll the same, no matter what happens?

    For example, if your using full kelly, the optimal wager for a play of 1.8 at 60.3%, with a bankroll of $1000 is about $107

    What would the optimal wager be if my bankroll is always $1000

    is it the same?
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  2. 03-10-10 03:31 AM #2
    brettd
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    yes
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  3. 03-10-10 05:40 AM #3
    Wrecktangle
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    I guess I'd have to ask, why would you want to keep your BR at the same number?
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  4. 03-10-10 07:38 AM #4
    trixtrix
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    is you br going to magically replenish to 1k when you lose as well?

    if so, you're concerned w/ maximizing wrt to ev and NOT eg, in which case you should just bet the entire 1k for every shot you consider yourself to have an edge
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  5. 03-10-10 09:59 AM #5
    u21c3f6
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    Quote Originally Posted by trixtrix View Post
    is you br going to magically replenish to 1k when you lose as well?

    if so, you're concerned w/ maximizing wrt to ev and NOT eg, in which case you should just bet the entire 1k for every shot you consider yourself to have an edge


    I assume the intent comes from the investment world where your size of investment can be based on a "notional" bankroll. As pointed out by brettd, yes, your Kelly wager is the same if your bankroll is "always" the same (of course this also assumes that your edge is static).

    Joe.
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  6. 03-10-10 11:56 AM #6
    Rich Boy
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    Im comfortable with my bankroll being the same, and I understand that it is NOT the optimal strategy in terms of net profit over a period of time.
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