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short call and gamma

in short call and short put, is delta all <0, in short call, gamma>0?

if I short call and long stock, when stock increases, delta increases, do I need to buy less stock to do delta hedging?

The delta of a call option should be the same whether you are long or short. If delta increases you would need less options to hedge your stock since a 1% increase in the stock will cause a greater change in the call then before.

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yes gamma should be the same with a long or short

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I don't agree

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go on.....

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I think short put gamma is <0, my opinion only, correct me if wrong

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Gamma is greatest at when a call or put is at the money, the further the price moves from the exercise price. I don't think there is a difference between a short or long put gammas, just like delta of a short or long call is the same. Now, value and its effect would change depending on if your long or short the assest / long or short the call / long or short the put

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The delta of a call can range from 0.00 to 1.00; the delta of a put can range from 0.00 to –1.00. Long calls have positive delta; short calls have negative delta. Long puts have negative delta; short puts have positive delta.

Long calls and long puts both always have positive gamma. Short calls and short puts both always have negative gamma.

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short call my opninon is positive delta, if short call , stock price increase, delta should increase, in your case, absolute value of delta reduce

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short call is negative delta, if stock goes up value of short call goes down, hence delta is negative

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