Question: Problem 2 Consider a BlackSeholes model with 1 = [5%, (I = [132 SW] = 33 and RF = . Suppose you sold ten {1m

Problem 2 Consider a BlackSeholes model with 1" =
Problem 2 Consider a BlackSeholes model with 1" = [5%, (I = [132 SW] = 33 and RF = . Suppose you sold ten {1m Fillday Puts with strike H = ll at price Pm] determined by the Black Scholes formula]. You wish to hedge your risks and in particular are worried about the stock moving up and down. 1. Using the underlying stock as well as {illday llflalls with strike If 2 35 {prioed at- Um} again using the 135 formula]: construct a Delta-Theta neutral portfolio. 2. Suppose that you also invest in bonds such that the initial value of your portfolio is exactly zero. Thus your overall portfolio is 1' shares of stock, l{l contracts of 90day P'uts~ y contracts of the U-day Calls and z zero-oJupon bonds. You should write out explicitly the numeric values of 311 H: 3 above. VH1] = 323m) IUC1{] + yC] + :3: Produce a table listing the value of your portfolio tomorrow 131%] in the cases that the stock goes to 'i'lljl = 32.. 33, 3'4

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