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Sally has a call option on one share of Ultra with a strike price of $40 and a call option on one share of Boone with a strike price of $25. George has a call option on a portfolio that has one share of Ultra and one share of Boone. The strike price on George's call option is $65. These options are all expiring today.
a. If Ultra is selling for $50 and Boone for $15, what is the value of Sally's options? What is the value of George's option?
b. If Ultra is selling for $30 and Boone for $35, what is the value of Sally's options? What is the value of George's option?
c. If Ultra is selling for $45 and Boone for $35, what is the value of Sally's options? What is the value of George's option?
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Later today, Sharon is going to sell one of the stocks in her portfolio for $40,000. After the sale, the portfolio's beta will be 1.3. What is the beta coefficient of the stock that Sharon plans to sell?
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i) What is the probability an that A wins at the nth trial? ii) What is the probability α that A wins overall?
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