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Option Greek Delta

I'm a newbie in options. Can anyone clear my confusion

Stock Price is at $227 and the premium value of the 227PE ATM option is $1.15 with a 0.5 delta

If the value of the stock price increases by $20 then what happens to the value of Put option?

Even if Delta value falls rapidly, say it becomes -0.25 by the time the stock price reaches $247. It would reduce option price by 20x-0.25 which is -5

So the new value of the Put option should be

$1.15-$5 = -$3.85

But we can't have premium value negative. What am I missing?

Submitted November 25, 2021 at 05:38AM by Professional-Goal865
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