Your explanations are totally confused. You need to brush up on the 6 basic positions of the Synthetic Triangle, all of which are variations of S + P = C
how is it confused? A covered put(correction cash secured puts) covered puts are totally different Sorry (covered put = short stock short put)
Lets say SPY is trading at 180
so you have 180K cash to cover assignment, you sell 1 short put at the strike price of 180 and collect 4 dollars of premium (400 dollars)
you have a synthetic covered call position. as if you were long 100 shares of SPY and sold a covered call and collected a premium. if SPY stays over 180 (lets say friday 181) you have no stock, but cash on your account friday + 4 bucks premium.
That would be the same as if you sold covered calls on 180K worth of stock strike price 180. that monday you will cash + premium.
S(Stock) + (long put) = covered call? That makes absolute no sense.
not short stock short puts. (I never do those) I had the terminology wrong.