Thanks BC....good stuff !!!
b0rderc0llie wrote:Suppose I sell a ATM call option, my position delta will be 1-0.5 = 0.5. If I sell a ITM call, I have a lower delta between 0 to 0.5. If I sell a OTM call, I have a higher delta between 0.5 to 1. So, depending on how much delta I want, I can decide whether to sell a ATM, OTM or ITM call.
Recall that for a Covered Call, we really are hoping that stock price will rise to a targeted Profit Exit point, which should be higher than current stock price; well at least logically, this is what we aim for....right? So, in order for us to profit substantially from a rally, we need +ve Delta, the bigger the overall Delta, the better....
from your above, all ITM Calls will have >0.5 delta, thus any Short ITM Call will have >-ve 0.5 Delta... when combined with the 1 delta Long stock position, the overall Delta will be less < +ve 0.5 delta.... ( 1 - > 0.5 = < 0.5)
now, compare choosing the ATM, the overall delta is ~ +ve 0.5 (1 - 0.5 = 0.5) and with a Short OTM Call, the overall delta will be > +ve 0.5 (1 - <0.5 = > 0.5)
to summarize : when combine with existing Long stock position, the overall Delta will vary according to the choice of ITM, ATM and OTM Calls....
a) If Short ITM Covered Call = Overall Delta < +ve 0.5
b) If Short ATM Covered Call = Overall Delta = ~ +ve 0.5
c) If Short OTM Covered Call = Overall Delta > +ve 0.5
Just based on this above, it appears that choosing the OTM Call to establish the Covered Call is most meaningful becos it yields the highest overall +ve Delta....
b0rderc0llie wrote:For theta, the ATM call has the most time premium and the more we go ITM or OTM, the less time premium we get.
Theta is the name of the game for Covered Calls... we are trying to earn extra income by selling the Call against the existing Long stock... and intention is indeed to profit from the decay of the extrinsic value of the option...via Theta, or aka time decay.
Indeed, ATM options have the highest extrinsic value vs ITM and OTM options; ie. all of the value of the ATM options are "external" premium above parity.
However, choosing the ATM Call to WRITE against existing stock position, is as good as selling your stock away at current market price. So, why bother to establish a derivative position, if it cannot offer any benefit?
Time decays the premium of the ATM position not in one day but over a period of time. It is in fact always true that decay is only very aggressive during the last days of the option lifespan. Thus, with a Short ATM Call with 30 days to expiration, the seller will not actually realize the positive effect of theta until several weeks later; ie, the seller wont start seeing significant profits derived from Theta initially. By then, stock price could have moved significantly away from the original ATM strike and can cause serious damage to overall Covered Call position.
Also choosing the ATM Call means that one is not expecting to capture more profits from any possible rally...if so, better just sell the stock away and establish a Naked Short Call option position...might as well free up your capital from the stock sale...use a portion of it to margin this naked Call position...
So, there must be a balance between how much OTM one should go out when choosing to sell a Covered Call and the premium available for the risk adopted and the commission fees paid to sell that option.
b0rderc0llie wrote:Selling nearer dated calls gives us higher theta, and selling further dated ones gives us lower theta.
Concur... further dated options of the same strike will always contain more extrinsic value but lower rate of decay; ie smaller Theta compared to nearer dated options...
what is important to note is that further dated OTM option will also have higher Delta... now, the complexity comes into play. An option having a higher Delta, is loosely judged to have more chances getting ITM by expiration. For example:
CROX is trading at $8, so these OTM Calls may have these delta profile
$9 strike - 30 days expiration Call = 0.3 delta
$9 strike - 75 days expiration Call = 0.4 delta
This is because in 75 days, there is more chance that this OTM Call can become ITM if CROX starts rallying above $9... but with only 30 days, that chance of it happening is lesser...
So, if I choose a further dated OTM Call, I risk my existing Long CROX shares being "called away" but my risk of this happening is lesser when I choose the 30 days expiration Call to sell. However, the overall premium of the 30 days option will definitely be lesser than the 75 days option premium.
Thus, again, there is a trade off to consider.
However, as a general rule of thumb, most Sellers will opt for nearer dated options to WRITE.... so as to lower the risk of that option becoming ITM....less time = less chance of CROX rallying past $9...
hmmm....no discussion on Gamma and Vega effect on this Covered Call situation ?