I've found a method that shows profit for both the 2009-2010 and the 2010-2011 seasons. Unfortunately the variance is still pretty high - at one point in the 2010-2011 season, the account shows a large net loss, before recovering to show profit. So now I want to reduce the variance.
It's hard to know whether two seasons of data is sufficient. On one hand, it's not a lot of games, making it hard to separate real trends from random noise. On the other hand, it seems likely that the sport of football changes quickly, and that older seasons are less similar to the upcoming season than recent seasons are. So perhaps it's not wise to analyze too many past seasons.
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