Let us say that there was a stock trading at 100 and the 105 call was trading at 3 $. with 1 month to go
Now stock went up to 104 after 15 days, and the call dropped to 2.80 $, to the call buyer's dismay.
Now, I understand that this 20 cent drop is partly due to theta decay and partly due to fall in IV that corresponds to a rise in the stock price.
Is there a thumb rule to approximate what is the effect of theta and what is the effect of IV?
In this time period, let us assume that theta went from 5 cents/day to 8 cents/day. IV went from 50% to 30%. Vega stayed constant at .01.
Please excuse me if these numbers are not realistic. Feel free to put in more realistic numbers for the greeks and IV, given the option price.