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A risk averse investor has a wealth of $W and has the opportunity of participating in the following games Toss a coin H(0.5) $1000 of

A risk averse investor has a wealth of $W and has the opportunity of participating in the following games Toss a coin H(0.5) $1000 of win T (0.5) $1000 of lose Would the investor participate in such a game? Prove your answer using appropriate diagram.

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