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A stock trades at 55. Mike owns a portfolio of the following contracts - Long Two stocks - Long 2 puts with a strike of

A stock trades at 55. Mike owns a portfolio of the following contracts

- Long Two stocks

- Long 2 puts with a strike of 50 and maturity 3 months

- Short 2 calls with a strike of 60 and a maturity of 3 months.

Mike is given the following information on contracts with maturity 3 months

image text in transcribed

1. What is the current value of the portfolio. (Assume each option controls one stock)

2. If the stock price went up by a dollar, estimate the change in the portfolio value ignoring convexity effects.

3. Suppose you want to make the portfolio both delta and gamma neutral. What is the cost of achieving this if Mike used the 55 strike call and the stock.

Delta 0.30 Gamma 0.05 Vega 9.51 Instrument Price Call with 1.2 strike 60 Put with strike 0.70 50 Call with 3.08 strike 55 -0.18 0.038 7.15 0.57 0.057 10.83

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