Quote from mark trader:
Got it, thanks!
Now I understand why selling OTM Puts is better because of the low delta and time decay both work in your favor.
OTM puts have low deltas and small gammas and low probability of expiring ITM but of course it depends on how far OTM you go. You have to remember that gamma distribution for strikes is shaped like a bell curve with the peak ATM. Selling OTM puts is selling what many refer to as cheap gamma because the gammas on the edges of the curve where OTM strikes are is very small.
However as the stock/index moves towards your short strike, the deltas increase and your strike moves up the gamma curve and the speed and acceleration of the premium increase in price picks up drastically. So as your far OTM strike becomes only somewhat OTM to slightly OTM to ATM the gammas pick up in a big way which means the premium is moving against you if you are short puts. Short puts is short deltas and gammas and those "cheap" gammas start to get "expensive" in a hurry and can be painful for your account.
Short puts theoretically have a bounded maximum loss but in reality it is significant and often much larger than your account can bear.
So short puts FOTM start out relatively insensitive to movements in the price of the stock/index but the nature of gamma means that the sensitivity will increase, let's say, exponentially up the gamma curve.
That is why selling naked puts is dangerous:
Limited profit
Significant Risk
Short gammas on edge of curve with potential to move against you fast.
Insensitive FOTM puts can become very sensitive very fast. This why understanding the nature of delta/gamma helps you to better understand the risks of certain positions. I personally do not like to recommend naked puts. Theta is on your side but delta/gamma and, as we shall see, vols can work against you fast which is stacking the deck if you are unaware of the greeks,