Question
You are given the following information for 91 day European call options on a stock which currently sells at 82 per share. The risk free
You are given the following information for 91 day European call options on a stock which currently sells at 82 per share. The risk free interest rate is 5 percent, the volatility of the stock is 25 percent, dividend yield is zero.A market maker writing 80-strike call, delta gamma-theta-hedges it with the underlying stock and 75 and 85 strike call options. How much investment is required for the whole hedge portfolio?
Exercise price | 75 | 80 | 85 |
Premium | 9.067268 | 5.677964 | 3.228509 |
Delta-call | 0.809786 | 0.64061 | 0.450035 |
Theta call | -0.02313 | -0.02745 | -0.02687 |
Gamma call=put | 0.026529 | 0.036528 | 0.038669 |
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