Quick profitability question

[SayGN]

I feel really stupid for not being able to figure this out on my own, but I'm confused. I play the $22+2 sitngo tournaments on full tilt. I also have 27% rakeback on every dollar of mine they rake in, so I am making an additional 54cents per tournament. Assuming I could play the $25+2 pstars tournaments at exactly the same ROI but without the rakeback, what would my ROI need to be in order for it to be more profitable to play on pstars? The fact that I can't figure out how to do this is driving me crazy because I feel like it should be a pretty simple equation.

[jay_shark]

If you play the 20+2 sng and your Roi is x written in decimal form (percentage over 100) , then your net profit is (21.46)*((1+x)/)-21.46= 21.46x

Your net profit for the 25+2 game is :

27y

27y>21.46x
y>21.46x/27=0.79x


This means that if your Roi is 50 % in the 21.46 game , then you would need an roi of 0.79*0.5= 0.395 to play in the pstars game .

[SayGN]

Thank you for the response. However, I feel like there is something that is not right still.

The original tournament was 22+2, not 20+2, but adjusting for that, the data should look like this:

27y>23.46x
y>0.86889x

This implies that if I should always play at pstars instead of FT if my ROI is the same at both sites. However, this is not true. For example. Assuming my ROI on either site is 7%, my avg. winnings per tournament would look like this:

(earnings-(buyin+rake))/(buyin+rake)=ROI
FT:
(x-24)/24= .07
x=1.68
x+0.54(my rakeback)= $2.22/tourney

PStars:
(x-27)/27=.07
x= $1.89/tourney

At this ROI, it is more profitable to play at FT with the added rakeback than it is to play at PStars. For this reason I think there is some flaw in the way you approached calculating the answer.

[jay_shark]

Ok so you're assuming you have the same roi before the rake back .

(x-24)/24=(y-27)/27
solve for y and you get y=(27/24)x

Profit for first game is (x-24) + 0.54
Profit for second game is (27/24)x - 27

Now we wish to know when (x-24)+0.54>(27/24)x-27
(27/24)x-x<27+0.54-24
x(3/24)<3.54
x<28.32

This means that if your roi is the same before the rakeback in both games , then it is more profitable to play in the first game as long as x<28.32 . Or equivalent , if your roi before the rakeback is less than 18% .

[tmtmdeluca]

what the hell are you guys talking about what ever happened to just knowing how you fair in the game and what you think you can do in the future