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Step 1. Find the general expression for the risk neutral probabilities such that the discounted expected value of the underlying risky asset's payoffs equals that

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Step 1. Find the general expression for the risk neutral probabilities such that the discounted expected value of the underlying risky asset's payoffs equals that asset's market price at time zero. That is, letting S denote the random payoff of this risky asset at time 1, we find the risk neutral probabilties Pr ( = 5") = T and Pr (= $) ---1-- T. Here, the risk neutral probabilties solve the equation: THE (9) S. where ET () = #S" + (1 a}.5 Use the space below to show your calculations. Step 2. Calculate the market prices of the put and call options using the risk neutral probabilities found in the first step. Use the space below (and continue on the back if necessary). Step 1. Find the general expression for the risk neutral probabilities such that the discounted expected value of the underlying risky asset's payoffs equals that asset's market price at time zero. That is, letting S denote the random payoff of this risky asset at time 1, we find the risk neutral probabilties Pr ( = 5") = T and Pr (= $) ---1-- T. Here, the risk neutral probabilties solve the equation: THE (9) S. where ET () = #S" + (1 a}.5 Use the space below to show your calculations. Step 2. Calculate the market prices of the put and call options using the risk neutral probabilities found in the first step. Use the space below (and continue on the back if necessary)

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