OK, in all future posts, I will refer to this particular Football system as “FTWF”, which is short for “Four The Win Football”.
As promised, I have done some “Risk of Ruin” calculations to determine what a good bankroll size would be to do this system with. As you may recall from my previous post on this subject, I initially did some calculations using 20% of the bank as my betting unit, but felt that without further data, it might be safer to use 10% of the bank as the betting unit.
To do the calculations, I used the the “Bankroll” calculator at this site. While the site is really for calculating a poker bankroll, it is still applicable here.
Using my spreadsheet, here are the results:
Flat Betting
Betting Unit: $25
Average Profit per Game: $3.96
Standard Deviation of the profit (using the “STDEV” function of the spreadsheet): 13.71
Plugging the numbers into the “Bankroll” calculator like this:
Win Rate: 3.93 (this is is average profit per game)
Standard Deviation: 13.71 (the standard deviation of the profit/loss)
Risk of Ruin %: (see below)
Using a “Risk of Ruin %” of 5 resulted a a bankroll requirement of only $71.64; “risk of Ruin %” of 1 resulted a bankroll requirement of $110.13
1-2-3-1 Staking Plan
Betting Unit: $25
Average Profit per Game: $4.62
Standard Deviation of the profit (using the “STDEV” function of the spreadsheet): 16.05
Plugging the numbers into the “Bankroll” calculator like this:
Win Rate: 4.62 (this is is average profit per game)
Standard Deviation: 16.05 (the standard deviation of the profit/loss)
Risk of Ruin %: (see below)
Using a “Risk of Ruin %” of 5 resulted a a bankroll requirement of only $85.32; “risk of Ruin %” of 1 resulted a bankroll requirement of $128.39
Increasing Betting Unit Based on 10% of Total Bankroll
This one was a little more tricky, since I needed to start with *some* bankroll number as a basis for the calculation. To arrive a betting unit of $25, I needed to assume a bank of $250. Here are the results:
Betting Unit: $25
Average Profit per Game: $4.70
Standard Deviation of the profit (using the “STDEV” function of the spreadsheet): 22.80
Plugging the numbers into the “Bankroll” calculator like this:
Win Rate: 4.70 (this is is average profit per game)
Standard Deviation: 22.80 (the standard deviation of the profit/loss)
Risk of Ruin %: (see below)
Using a “Risk of Ruin %” of 5 resulted a a bankroll requirement of only $165.67; “risk of Ruin %” of 1 resulted a bankroll requirement of $254.68
Interestingly, if I only wanted a 1% “Risk of Ruin”, then my “assumption” of using a starting bank of $250 for this one was actually very close. Actually, looking at all the results, my initial instinct of being able to use 20% of your bank as a betting unit seems to be a good one, but I am still going to use 10% of my bank as my betting unit until i get further data (two or three more seasons)
A couple final calculations:
1-2-3-1 Staking Plan: Each Team Bet At Its Own Series”
Betting Unit: $25
Average Profit per Game: $6.90
Standard Deviation of the profit (using the “STDEV” function of the spreadsheet): 23.42
Plugging the numbers into the “Bankroll” calculator like this:
Win Rate: 6.90 (this is is average profit per game)
Standard Deviation: 23.41 (the standard deviation of the profit/loss)
Risk of Ruin %: (see below)
Using a “Risk of Ruin %” of 5 resulted a a bankroll requirement of only $118.97; “risk of Ruin %” of 1 resulted a bankroll requirement of $182.88
Flat Bet: Each Team Bet As It’s Own Series
Betting Unit: $25
Average Profit per Game: 5.31
Standard Deviation of the profit (using the “STDEV” function of the spreadsheet): 18.97
Plugging the numbers into the “Bankroll” calculator like this:
Win Rate: 5.31 (this is is average profit per game)
Standard Deviation: 18.97 (the standard deviation of the profit/loss)
Risk of Ruin %: (see below)
Using a “Risk of Ruin %” of 5 resulted a a bankroll requirement of only $101.51; “risk of Ruin %” of 1 resulted a bankroll requirement of $156.05
So there you have it; pick which betting strategy you want to adopt, and size your bankroll appropriately.
One final question you might have is what is more appropriate: 5% Risk of Ruin or 1% (or even lower??) That is really up to you. If you are doing this as a hobby or secondary income, then you are probably safe with using the 5% figure, but if you are doing it for a living or just don’t want to go broke, then 1% (or lower) would be more appropriate.
I hope this helps you. As always, if you have any comments on this article or the numbers used in it, please feel free to comment.
Posted by silkbc
Posted by silkbc
Posted by silkbc