I am trying to understand option synthetics. This article mentions:

For example, if your stock is at $100 per share and the you sell a 105 Call and buy a 105 Put, you have zero risk (and zero profit potential).

I understand that the sale of the call finances the put. But if underlying goes to 103 at expiration, both the call and the put expire worthless, so profit = 103 - 100 = 3 $. What is wrong with my assessment?

  • Check the formula on how to create a synthetic option. That will clear it up. – DumbCoder Mar 5 '15 at 16:33
  • The formula only holds when the call and the put are at the same strike, and which also equals the current underlying price. Correct? – Victor123 Mar 5 '15 at 16:47

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.)

  • Thank you. But my confusion is that why the author says the position has zero profit potential. The position profits between 100 and 105. This profit + the premium obtained on the call is greater than the purchase price of the put, correct? So there is a net profit? – Victor123 Mar 6 '15 at 14:23
  • @Victor123 - see my update. Let me know that this settles it for you. – JoeTaxpayer Mar 6 '15 at 18:02

But if underlying goes to 103 at expiration, both the call and the put expire worthless

If the stock closes at 103 on expiration, the 105 put is worth $2, not worthless.

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