The model of demand in the Kyle (1985) assumes that perfectly informed trader demand x increases linearly

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The model of demand in the Kyle (1985) assumes that perfectly informed trader demand x increases linearly in his expected value of the traded stock. This assumption is important to Kyle’s results. Demonstrate that perfectly informed trader demand x in the Kyle model increases linearly in the difference between his expected value of the traded stock and the price p set by the dealer. (This difference, v–p0, is the profit per share to the informed trader.)

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