Question: 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.
| Close | Strike | Maturity | Price |
| 142.1875 | 130 | 40 days | 16.5 |
| 142.1875 | 140 | 40 days | 10.25 |
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