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5836金融与交易困难数值题long

A dealer quotes a single ask price A for a stock whose value

题目

A dealer quotes a single ask price A for a stock whose value V is uniformly distributed on [40, 60]. An informed counterparty buys only when V > A (the quote is too cheap). Conditional on getting filled at ask A, what is the expected true value of the stock, and what does this imply about the loss the dealer makes on filled trades if A = 50?

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Expected Value

Expected Loss