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Risk and reward of a synthetic option position
You sold a call, and have a risk if the stock rises.  You bought a put and gain when the stock drops. You, sir, have a synthetic short position.  It's Case 3 from your linked example: Suppose you own Long Stock and the company is going to report earnings   but you’re going on vacation. How can you hedge your position without   selling your stock? You can short the stock synthetically with   options! Short Stock = Short Call + Long Put They conclude with the net zero remark, because the premise was an existing long position. A long plus this synthetic short results in a neutral set of positions (and the author's ability to go on vacation not concerned about any movement in the stock.)