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Option type position strike price time to expiration (years) Number of contracts Gamma Vega call long 780 0.5 700 1.35 0.25 put long 750 0.5

Option type position strike price time to expiration (years) Number of contracts Gamma Vega
call long 780 0.5 700 1.35 0.25
put long 750 0.5 500 1.20 0.5
call short 710 0.25 250 0.95 0.9
call long 700 0.25 700 1.20 1.3

There are currently two traded options available in the market:

Option A has a Delta of 0.8, a Gamma of 1.1, and a Vega of 0.45.

Option B has a Delta of 1.15, a Gamma of 0.95, and a Vega of 0.97.

The risk-free rate is 10% per annum and the volatility of the underlying asset is 40%. Based on the information provided, answer the following questions (show all the details of your calculations and present your results with four decimal places):

c) How can the financial institution make this portfolio delta-gamma-vega neutral using traded options A and B?

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