What you're mainly referring to is a change in TOTAL PREMIUM due to an underlying move, whereby the delta dictates most of the change. Since an ITM call has a higher delta than the equivalent OTM put, the call changes more... but that's only the intrinsic part. The extrinsic part, which I call the time premium, will be the same for both... and therefore change the same
For ITM calls , what is the correct theoretically intrinsic value ? the difference between the strike and the spot , or maybe that difference multiplied by his delta.
e.g.
spot = 100
98 call = 2.70 with delta = 0.80
a) Intrinsic value = 2.00
b) Intrinsic value = 2 x 0.80 = 1.60
The commonly accepted is a) . But sometimes I think that the todays intrinsic value for that call has to consider the probability of ending ITM, which is delta.
So if the underlying goes +1
a) Intrinsic value = 3.00
b) Intrinsic value = 1.60 + 0.80 = 2.40
Please I would like to know what you think about this.
Thank you.