Yep. Definitely was an eye-opener for me WRT synthetics. And now that I think about it, it also starts with an options thought exercise:
QQQQ is trading at 37.30; the 36 call is going for 1.70 and the 39 put is going for 1.90. A trader buys ten of each. Obviously, this is a good position if there is a large move in either direction but what is the worst-case scenario? Owning ten calls at 1.70 and ten puts at 1.90 is 3.60 ten times making a total investment of $3600 (10 x (1.70 + 1.90) x 100 shares).
So, what is the maximum you can lose and why?
Basic position dissection ( a la Cottle ) ...
Long 36call / 39put Guts (ITM) strangle bought for $1.70+$1.90 = $3.60
Dissect out $3.00 box ( difference between strikes )
Synthetically Long 36put / 39call strangle bought for $1.70+$1.90 = $3.60 - $3 box = $0.60
Max Loss $0.60 x 10 contracts = $600
