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A Stock Is Trading at 100 u=1.20u = 1.20 And d=0.80d = 0.80

question 27

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A stock is trading at 100. Consider a two-period binomial model in which the stock price moves up or down each period by factors u=1.20u = 1.20 and d=0.80d = 0.80 , respectively. The gross risk-free rate of interest per time step is 1.04. You are long a cash-or-nothing digital call option that pays $100 if ST100S _ { T } \geq 100 , and nothing otherwise; and short a cash-or-nothing digital put option that pays $100 if ST100S _ { T } \leq 100 , and nothing otherwise. (Here, STS _ { T } is the stock price at the end of two periods.) The value of your portfolio is


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