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A price-linked investment pays $300 if the oil price over the next year increases by more than 5%, an event that can happen with a

A price-linked investment pays $300 if the oil price over the next year increases by more than 5%, an event that can happen with a 55% probability.Otherwise,it pays $60.If the expected on the security is 12%,how much does the security cost?show your calculations.

(demo for your refernce purpose):

probability discount factor@15%
60% 300 180 1.15
40% 50 20 1.15
173.913

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