1) Hogwarts Inc. sell for $200/share. The standard deviation of the stock is 25 percent. The interest rate is 4 percent. You operate as a broker in Hogwarts stock under a license from the Ministry of Magic. You are short 150 options on this stock at the money with an expiration date of 3 months. You can hedge your position by buying selling stock and/or put options with a strike price of 210 that expire in 3 months. Given all this, what will you buy and sell to delta-gamma hedge your position? How much is your portfolio worth? By the way, the "d" on the option at the money is 0.143, while the "d" on the option with a strike of 210 is -0.248