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However, most A+ books use a max base amount.
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With a max base amount of $1000 you can risk $1000 to win $4000 if the line is +400 and risk $4000 to win $1000 if the line is -400.
Thats the way Pinnacle, Cris, Greek, 5Dimes etc. operates.
Now let us compare two bets at odds +400 and -400 both with an edge of 2%.
At odds of -400 (decimal:1.25) and an edge of 2%, the win probability would be p≈ 81.6%, and Kelly stake would be K = 8%. E(G) ≈ 0.0817%
At odds of +400 (decimal:5) and an edge of 2%, the win probability would be p≈ 20.4%, and Kelly stake would be K = 0.5%. E(G) ≈ 0.0050%
So if I want to maximize E(G) I will bet 8% on -400
But I want to minimize E(G)
With a bankroll of $10.000 and max
risk amount of $1000 my anti-Kelly stake would be 10% with E(G)~0.0763% at -400 and -1.511% at +400.
The underdog at +400 is still the 'best' bet.
If max
base amount is $1000 the +400 bet is the same.
But now for the -400 bet my anti-Kelly stake would be 40% with E(G)~-1.609%
Now I should bet the favorite.