for the OP, if you are looking the hedge a stock position with long puts, isn't your return just your net premium lost over time? wouldn't you be reducing that more if you exited your long put when you exited the position it was protecting?
as a mm, my theo values are used to price options relative to one another. there is no expect value i expect at expiration based on my tv. options are worth whatever somebody is will to pay for it or sell it at. you seem too concerned about Black-Scholes rather than how to use them for your needs.
if you pay $2 for 10 puts, and you expect them to go to zero, you are going to be out $2000. Annualize each attempt to get your return.
fyi, if you need to buy an put 1 month away for a stock you only plan to hold 10 days, you should be selling the put that still has value.
as a mm, my theo values are used to price options relative to one another. there is no expect value i expect at expiration based on my tv. options are worth whatever somebody is will to pay for it or sell it at. you seem too concerned about Black-Scholes rather than how to use them for your needs.
if you pay $2 for 10 puts, and you expect them to go to zero, you are going to be out $2000. Annualize each attempt to get your return.
fyi, if you need to buy an put 1 month away for a stock you only plan to hold 10 days, you should be selling the put that still has value.