It depends on the share price (p say), strike price (k say) and...

It depends on the share price (p say), strike price (k say) and expiry date. Very close to expiry date, the intrinsic value of an option is p-k. So, if p is a long way below k, even a big % rise in p makes no difference (the intrinsic value is still zero). A long way from expiry date, there could be a bit of movement. Most movement occurs when p-k is close to or greater than zero, but movement in option price would still normally be no more than the movement in share price in $ terms. Of course it could be much higher in % terms. Hope that helps. I never buy options, because in the days that I did, they always expired before the share price went up. I eventually worked out that it was usually too easy for the option sellers to hold the share price down until the expiry date. Or maybe I imagined it ...