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Suppose you could invest in two assets, asset A which is worth $100 in state of world 1 and $100 in the state of world

Suppose you could invest in two assets, asset A which is worth $100 in state of world 1 and $100 in the state of world 2 and Asset B which is worth $90 in the state of world 1 and $110 in the state of world 2. Utility function is symmetric across those states, U=S1S2. What proportion of your wealth will you hold in asset B?

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