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Suppose a stock costs $20 today, and tomorrow will cost either $50 with probability 2/3, or $10 with probability 1/3. Compute (with explanation) the fair

Suppose a stock costs $20 today, and tomorrow will cost either $50 with probability 2/3, or $10 with probability 1/3. Compute (with explanation) the fair (no-arbitrage) price of a European call option to buy the stock tomorrow for $30, (a) using Profit Computation, and also (b) using the Martingale Pricing Principle.

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