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For the following questions, use the data on Microsoft call options in the table below and assume that the repo rate is 4.9% per year

For the following questions, use the data on Microsoft call options in the table below and assume that the repo rate is 4.9% per year and you are long 2000 contracts with strike price 130 (each costing 100* the price listed above and paying 100*max[S - 130, 0] ): What are the sigma, delta, gamma, vega, and rho of the 130 option? What transaction(s) would you need to undertake to make your total position delta-neutral (without selling the contracts)? What transaction(s) would you need to undertake to make your total position delta and gamma-neutral (again without selling the calls)? Suppose that Microsoft's price suddenly dropped to $130. What would be the change in your total position value assuming that you followed (b) and (c) above? You don't need to worry about rehedging.

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Strike

Maturity

Price

142.1875

130

40 days

16.5

142.1875

140

40 days

10.25

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