1/2 the option price, according to BS

Quote from Kevin Schmit:

A very crude approximation:

ATM_Strike * (1 +- (sqrt(time-to-expiry-in-years) * sigma/2))

This will slightly underestimate the call and also the put strike. Which under normal skew is ok.
Great, that's the answer I was hoping for.

Just seeing that the result has a linear relationship with sigma is helpful.
 
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