3. At the close of the trading day you sell an at-the-money 6-month European call on a non-dividend paying stock trading at $80.00 with an implied volatility of 50% when the continuously-compounded rate of interest is 8%. This is the only position in your account. Your risk-management department tells you that the 99% coverage price range is $6.0 and the 99% volatility coverage range is 20%. (a) Use your Black-Scholes option pricer to calculate (and fill in the table below) your profit/loss if you buy back your short option as a function the changes in stock price and volatility indicated (i.e. premium - cost of option with different stock price and volatility). 3. At the close of the trading day you sell an at-the-money 6-month European call on a non-dividend paying stock trading at $80.00 with an implied volatility of 50% when the continuously-compounded rate of interest is 8%. This is the only position in your account. Your risk-management department tells you that the 99% coverage price range is $6.0 and the 99% volatility coverage range is 20%. (a) Use your Black-Scholes option pricer to calculate (and fill in the table below) your profit/loss if you buy back your short option as a function the changes in stock price and volatility indicated (i.e. premium - cost of option with different stock price and volatility)