Offer your insights or judgment on the input financial query or topic using your financial expertise. Reply as normal question answering

Is there an academic framework for deciding when to sell in-the-money call options?
based on my understanding of your query...well you need to understand ATM and ITM options. The  delta and gamma factor specifically. Usually delta of ATM is around 0.5 while ITM option is above than that say 0.6 or 0.8 or 0.9 and deep ITM is very close to 1. for every movement of 1 buck the ITM will move say 1.6, ATM 0.5 and OTM 0.3 approx Say a ABC stock price is Rs. 300 so if you check option chart you try to see which one is closer. Suppose you find strikeprice of 320 / 300 / 280. So  320 is ITM, 300 is ATM and 280 is OTM for call options. So will the delta value (e.g 0.66 / 0.55 / 0.35). So suppose if stock price rise by 7% i.e Rs. 321 then strikeprice will rise simultaneously. Say ATM CE300 is rs.10 it will start rising by 0.55 i.e. Rs.10.55. The moment the share price move from Rs.300 to Rs.320 your ATM will turn to ITM. Now the tricker part if you buy OTM and the share price rise by 15% your OTM will now become ITM and your profit will roll around 100% to 120% approx. Hope it answers your query