Exercise 8.1.2 (Arbitrage Theorem). Consider a world with m states and n securities. Denote the payoff of

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Exercise 8.1.2 (Arbitrage Theorem). Consider a world with m states and n securities.

Denote the payoff of security j in state i by Di j . Let D be the m×n matrix whose (i, j)th entry is Di j . Formulate necessary conditions for arbitrage freedom.

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