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MICHAEL SAENZ's avatar

Opinion-

In your part about modeling the likelihood of an OTM spy option goes ITM, you are assuming SPY follows a normal distribution. I think this is where the disconnect comes from with the positive expected value because that underlying assumption probably is not correct.

Also, 0.02 is the bid price. You won't get filled buying that option for 0.02, rather the asking price of 0.03. Although the difference is small, it's 50% more expensive than in your calculation. While "last" does say 0.02, it could be someone selling a call at the bid so it's not a safe assumption you can buy this option for 0.02

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