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Question: Please price a digital contract that pays off $ 1 0 0 in 6 month ( at time 2 t ) if the stock

Question:
Please price a digital contract that pays off $100 in 6 month (at time 2t) if the stock
price at time 2t ends higher than where it started at time zero. Please calculate hedge
ratio at each relevant node on the tree. Suppose risk-free rate is r=5% and time interval is
one quarter, that is,t=0.25.
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