Find all possible risk-neutral probability measures

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Consider the financial market with N = 1, M = 1, r = 0, S1(0) = 100, S1(1) = 130, 110, or 80, all with positive probability.

(a) Find all possible risk-neutral probability measures.

(b) Consider a 1-year call option with a strike price of 100. (This is known as an ‘at-the-money' option). Find the range of possible prices for this option that will avoid arbitrage.

(c) If the price of the option in part (b) is 12, find an arbitrage opportunity.

Reference no: EM131001366

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