Question about ATM call price change due to price change

Hi guys, I have one question concerning with hedging strategy using call.
If the stock price increase 20% by tomorrow, what would be the percentage change we should expect in the price of ATM call written on this stock?

My idea is that the ATM call would increase a lot because it would expire much sooner and we know there's a huge profit in stock. Thus the call change should be much larger than 20%.

Any help:)

 
Most Helpful

Short answer is yes, the change in the price of the option will most likely be more than 20% of the stock if it moved that % in one day. At the most basic level, the reason why people buy options is because its cheap leverage.

However, your ATM call premium depends on a lot of factors. How much time is left until expiry and what is the volatility priced at? In an extreme example, if your option was short dated (

 

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