A stock is presently selling at a price of $ 50 per share. After one time period, its selling price will (in present value dollars) be either $ 150 or $ 25 . An option to purchase y units of the stock at time 1 can be purchased at cost c y.(a) What should c be in order for there to be no sure win?(b) If c=4, explain how you could guarantee a sure win.(c) If c=10, explain how you could guarantee a sure win.(d) Use the arbitrage theorem to verify your answer to part (a).
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