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c1b | 5 years ago

This is not entirely accurate. It is the same position as borrowing some amount of money to buy the stock. If I buy a put and call and the price at expiry is exactly that strike I am guaranteed to lose money.

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egwor|5 years ago

Agreed. One of the reasons is that the option has a risk and therefore there's a cost associated with managing that risk and taking on the trade.

eru|5 years ago

Not quite. It's the 'risk-free bond' term that I dropped from my explanation of the put call parity.

To replicate the stock, you'd buy the call and sell the put. The risk exactly balances out in the sense that a total portfolio of 1 stock short, 1 call long and 1 put short would have zero risk and behave like a risk-free bond.

(If the risk premia of the long call and the short put would not exactly balance, you could make money with very simple arbitrage trades.)

eru|5 years ago

Yes, my explanation dropped the bond term from the put call parity.