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Velocity of money*(1-win rate), discounted appropriately. Hard part is figuring out how many quarters are going into the thing but presumably it would have that data.

 
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If the cash flows (asset returns) are correlated with the market, that's by definition a non-zero beta.

Edit: my point is just that you would need to show that people's gambling behavior was completely independent of their wealth. I'd suspect that Vegas sees more business when the economy's doing well. If that's the case, and our slot machine has a higher utilization, then the slot machine is not independent and has a positive beta

 

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