Compute the overall vega for a long position

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Using the Black-Scholes call and putting option pricing models we may compute the following.

                                Parameter inputs: S = 55 X= 55 σ=35% r=5% T=0.25 

                    Price           Delta         Gamma         Vega           Theta            Rho

Put                 3.479       -0.437       0.041               0.108          -0.017        -0.069

Call               4.162        0.563         0.041               0.108             -0.025      0.067

Question 1: How do you interpret the delta of the put option?

Question 2: How do you interpret the gamma of the call option?

Question 3: Compute the overall vega for a long position in 25 call option contracts and a short position in 25 put option contracts.

Question 4: Create a delta-neutral position from a position in the call and put options.  Show that your position is delta-neutral.

Reference no: EM133326736

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