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really appreciate it if answer all sub-questions as a whole. JIU marks] An options dealer has the following position in exchange-traded options. You should assume

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really appreciate it if answer all sub-questions as a whole.

JIU marks] An options dealer has the following position in exchange-traded options. You should assume each option is on one share. + = long position, - = short position. In the table below, the values for Delta and Gamma are in respect of a long option position. Position of Option Dealer Expiry date Jun 19 Jun 19 Jun 19 Option Call Put Call Gamma 0.06 Exercise price $7.50 $7.50 $10.00 Stock AIRCO AIRCO BANKCO +1,000 Delta 0.65 -0.30 0.58 0.07 -700 0.04 -700 The dealer also has a short position of 1,500 shares in AIRCO and a long position of 600 shares in BANKCO. There are three parts to this question. Required 0.25 a) Estimate the impact of a $0.10 fall in the price of BANKCO stock on the delta of the BANKCO call option. b) Determine the delta of the dealer's overall (i.e. stock and options) position in BANKCO, Assume the dealer wishes to make her overall exposure to AIRCO both delta-neutral and gamma-neutral. What additional positions must she take in AIRCO stock and a second (or another) AIRCO put option with a delta of -0.35 and a gamma of 0.05 to achieve both delta-neutrality and gamma-neutrality? (Note: The new position in shares and the second put option will be in addition to the current position in AIRCO stock and the current option positions in AIRCO stock.) JIU marks] An options dealer has the following position in exchange-traded options. You should assume each option is on one share. + = long position, - = short position. In the table below, the values for Delta and Gamma are in respect of a long option position. Position of Option Dealer Expiry date Jun 19 Jun 19 Jun 19 Option Call Put Call Gamma 0.06 Exercise price $7.50 $7.50 $10.00 Stock AIRCO AIRCO BANKCO +1,000 Delta 0.65 -0.30 0.58 0.07 -700 0.04 -700 The dealer also has a short position of 1,500 shares in AIRCO and a long position of 600 shares in BANKCO. There are three parts to this question. Required 0.25 a) Estimate the impact of a $0.10 fall in the price of BANKCO stock on the delta of the BANKCO call option. b) Determine the delta of the dealer's overall (i.e. stock and options) position in BANKCO, Assume the dealer wishes to make her overall exposure to AIRCO both delta-neutral and gamma-neutral. What additional positions must she take in AIRCO stock and a second (or another) AIRCO put option with a delta of -0.35 and a gamma of 0.05 to achieve both delta-neutrality and gamma-neutrality? (Note: The new position in shares and the second put option will be in addition to the current position in AIRCO stock and the current option positions in AIRCO stock.)

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