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Application of Kelly Criterion model in Sportsbook Investment

Abstract

The investment in sportsbook industry is very popular in Europe and United States but not yet in Asia. I tried to refer to Dixon and Coles (1996), Karlis and Ntzuofras (2005) and some others papers to complete my ®model ®γσ, Eng Lian Hu (2016)^[1st paper in [3. References]] but the return is not stable and I try to apply Kelly model and generates an impressive returns which is in section [1. Kelly Criterion].

The section [2. Comparison of Betting Strategy in Sportsbook Investment] will not only compare the staking model in betting model validation ®γσ, Eng Lian Hu (2016)^[2nd paper in [3. References]]. and also Kelly model in section 1 but also enhanced.

1. Kelly Criterion

1.2 Summary

I have simulate a betting model on 13 bookmakers across 2 soccer seasons in English 2011/12 and 2012/13. Kindly refer to below techincal research.

1.3 Result of Kelly Staking model on English Soccer 2011/2012

No Category With Spreads (2011/12) Ratio (%) Without Spreads (2011/12) Ratio (%) With Spreads (2012/13) Ratio (%) Without Spreads (2012/13) Ratio (%)
1 No of Matches 4,896 1 4,896 1 5,514 1 5,514 1
2 Total PL $353.96966 55.57% $381.06299 53.98% $448.8993 59.35% $488.91841 58.60%
3 No of Bets 2,268 46.32% 2,404 49.10% 2,570 46.61% 2,697 48.91%
4 No of Won Bets 1,531 31.27% 1,584 32.35% 1,765 32.01% 1,824 33.08%
5 No of Voided Bets 128 2.61% 143 2.92% 192 3.48% 196 3.55%
6 No of Lose Bets 609 12.44% 677 13.83% 613 11.12% 677 12.28%
7 Staking $636.98372 1 $705.89203 1 $756.2979 1 $834.32032 1
8 Won Bets Stakes $453.43724 71.19% $496.09555 70.28% $563.6685 74.53% $614.24795 73.62%
9 Voided Stakes $19.13296 3.00% $22.67241 3.21% $27.1151 3.59% $32.12999 3.85%
10 Lose Bets Stakes -$99.46758 -15.62% -$115.03256 -16.30% -$114.7691 -15.18% -$125.32954 -15.02%

table 1.3.1 : Staking breakdown and result of the bets settlement.

Company PL (2011/12) Ratio (%) PL2 (2011/12) Ratio (%) PL (2012/13) Ratio (%) PL2 (2012/13) Ratio (%)
Ladbrokes $33.772411 9.54% $38.25184 10.04% $44.53507895 9.92% $46.7763362 9.57%
Bet365 $34.120624 9.64% $37.19263 9.76% $33.53743752 7.47% $40.6766948 8.32%
Macauslot $35.740062 10.10% $40.23454 10.56% $1.76408658 0.39% $1.9329171 0.40%
X10Bet $37.538487 10.61% $41.64034 10.93% $33.62892077 7.49% $40.6921976 8.32%
X188Bet $36.579289 10.33% $38.25589 10.04% $41.05668234 9.15% $46.1156378 9.43%
SBOBET $40.392461 11.41% $41.90898 11.00% $43.50915478 9.69% $47.8308212 9.78%
Mansion88 $31.219547 8.82% $32.38999 8.50% $42.44403404 9.46% $43.9521665 8.99%
YSB88 $13.167746 3.72% $14.34128 3.76% $45.92688667 10.23% $46.8393963 9.58%
X12BET $36.802466 10.40% $38.19015 10.02% $36.03065656 8.03% $36.2449956 7.41%
VictorChandler $24.391917 6.89% $25.95763 6.81% $45.13420638 10.05% $46.2154620 9.45%
Canbet $10.347393 2.92% $10.97516 2.88% $41.04019224 9.14% $46.9617659 9.61%
Betinternet $10.286812 2.91% $11.18731 2.94% $40.20594752 8.96% $44.5435274 9.11%
Titanbet $9.610441 2.72% $10.53726 2.77% $0.08604952 0.02% $0.1364944 0.03%

table 1.3.2 : Breakdown of Operators - Profit & Loss on the Odds Price with/without Overrounds.

2. Sportsbook Investment Portfolio

By conduct above betting model and get a positive and impressive returns from the experiments, here I have try to retrive the betting model of British sportsbook consultancy firm A.

Besides, by refer to [3. References] I try to build a simple shinyApp for betting model prior to build up my own Scibrokes® business website...

2.1 Investment Portfolio

2.2 Web Base App

betting-models shinyApp

Based on Betting-Strategy-and-Model-Validation, in order to test the risk of ruin, here I focus on English soccer leagues which will write as an shinyApp and set few elastic adjusters to test the efficiency of the sportsbook investment fund :

  • the initial fund size
  • betting stakes
  • average follwed odds price (volatility of odds price, ets, arima and garch models.)
  • missing followed bets
  • investment fund portfolio management (markotwitz and Kelly criteria)
  • regular investor refill or pump into initial fund pool

Secondly, application of own Rmodel Odds Modelling and Testing Inefficiency of Sports Bookmakers to test the efficiency and comparison.

3. References

  1. Odds Modelling and Testing Inefficiency of Sports Bookmakers : Rmodel by ®γσ, Eng Lian Hu (2016)
  2. Betting-Strategy-and-Model-Validation by ®γσ, Eng Lian Hu (2016)
  3. Systematic Investor Toolbox (SIT) by Michael Kapler (2012)
  4. MatchOdds.org by Simon Collins (2010)
  5. Bayesian statistics, health economics and random stuff by Gianluca Baio
  6. Sportsbook Pricing and Informed Bettors in the Early and Late Season in the NBA by Rodney Paul, Andrew Weinbach and Brad Humphreys (2013)
  7. The Kelly Criterion in Applied Portfolio Selection
  8. The Kelly Criterion in Applied Portfolio Selection – Part 2
  9. The Kelly Criterion — Does It Work?

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