Consider a model with A(0) = 1, A(1) = 1.2, S(0) = 35 and S(1) given...
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Consider a model with A(0) = 1, A(1) = 1.2, S(0) = 35 and S(1) given by 40 with probability p with probability q with probability 1-p-q S(1) = S 48 where p, q € (0, 1) and s is a nonnegative number. (a) Find s for which the model is arbitrage free? (b) Is a put option with strike price 44 replicable if s = 20 ? If so, what is its price? (c) Find s for which a call option with strike price 40 is replicable? For these s, find the price of the call option? Consider a model with A(0) = 1, A(1) = 1.2, S(0) = 35 and S(1) given by 40 with probability p with probability q with probability 1-p-q S(1) = S 48 where p, q € (0, 1) and s is a nonnegative number. (a) Find s for which the model is arbitrage free? (b) Is a put option with strike price 44 replicable if s = 20 ? If so, what is its price? (c) Find s for which a call option with strike price 40 is replicable? For these s, find the price of the call option?
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a For the given model to be arbitrage free the following condition must be satisfied A1 S1 12 p40 qs ... View the full answer
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