(b) You are an options trader for a hedge fund. Your assistant prepared the following sheet containing the prices of various options. Expiration Months Stock Stock Option Exercise March June September Price Price PIE 100 Put 90 2.90 3.50 6.00 PIE 100 Put 100 3.00 4.00 3.50 PIE 100 Put 110 13.00 13.80 14.50 PIE 100 00 Call 90 90 9.80 - 15.40 (11) Value the PIE June call based on the prices on the sheet as well as a risk free rate of 5%. There are 6 months before the expiration of the options in June. (For this part, assume the options are European, and you may use any computing technology at your disposal, if necessary.) (10 marks)