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With the notations in the lecture notes, prove the following relationship: rT So D K C P S Ke 0 , where C and P

With the notations in the lecture notes, prove the following relationship: rT So D K C P S Ke 0 , where C and P are the prices of American call and put options, respectively. (Hint: For the first part of the relationship consider (a) a portfolio consisting of a European call plus an amount of cash equal to D+K, and (b) a portfolio consisting of an American put option plus one share of stock.

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