Gamma of positions

The stock is currently trading at 30. Which option strategy has more Gamma?

Long the 29-31 strangle Long the 28-32 strangle Long straddle on the 31 strike Long straddle on the 30 strike Long straddle on the 29 strike

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1 solution

Chew-Seong Cheong
Mar 23, 2015

The Gammas of a call and put of the same underlying stock, strike and expiry are the same. Gamma is largest when the option is ATM and gradually decrease as it moves towards OTM and ITM. Therefore, when the stock is trading at 30, the long straddle on the 30 strike \boxed{\text{long straddle on the 30 strike}} when options are ATM has more Gamma.

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