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Q4. A trader just shorted 100 of calls 1 and 100 of calls 2 from Q3. [32/2 4.1 Calculate the delta and the Gamma of

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Q4. A trader just shorted 100 of calls 1 and 100 of calls 2 from Q3. [32/2 4.1 Calculate the delta and the Gamma of this position. 4.2 Consider put 1 and put 2, which are on the same stock and with the same exercise prices and time to expiration as their respective calls from QB. Calculate the number of the shares in put 1 and put 2 needed to create a delta-Gamma neutral portfolio consisting of the short calls (call 1 and call 2) and the two puts. (no shares of the stok) The following data are market prices on a given day: calls calls g_a_l_l_s pigs puts puts Stock strike W L AUG 0C W L AUG OCT $165 $155 $10.5 $11.75 $14 $.1875 $1.25 $2.75 $165 $160 $6 $8.125 $11.125 $.75 $2.75 $4.50 $165 $165 $2.6875 $5.25 $8.125 $2.375 $4.75 $6.75 $165 $170 $.8125 $3.25 $6 $5.75 $7.5 $9 The expirations are 41 days forJUL, 72 days for AUG and 163 days for OCT. The respective simple annual risk-free rates for each expiration period are: .0503, .0535 and .0571. The annual volatility of the returns on the underlying stock is o = .21. Every CBOE option is for 100 shares

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