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Selling a strangle instead of a straddle

Asked at Optiver, SIG

A stock trades at 100100. Instead of a straddle, you sell the 110110-strike call and the 9090-strike put (same expiry), collecting \4$ total premium.

Describe your P&L at expiry. How does this short strangle compare to a short straddle on the same name? Why is it still "short volatility"?

Show a hint

Between the two strikes both options expire worthless. What happens outside that band?

Your answer

This one is open-ended. Work it through, then check your reasoning against the full solution.

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