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Question 6 15 pts A client of NEXT Financial Group (a top brokerage firm) seeks to buy 250,000 shares (X=250,000) in smaller parcels to minimize

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Question 6 15 pts A client of NEXT Financial Group (a top brokerage firm) seeks to buy 250,000 shares (X=250,000) in smaller parcels to minimize his total execution costs B. These execution costs Binclude both order processing costs lie, F per transaction) and market impact (slippage) costs that are increasing in the size of each of the equal-size transactions NEXT Financial Group uses a market impact model that estimates the slippage costs of each of the n equal-sized executions c-X with function Sevc, where the coefficient and exponent m are related to the liquidity of the security to be purchased or sold. In this case, the per transaction cost B is estimated to have a fixed component F (order processing costs) and an increasing variable cost component v = v(x7" (this is the market impact component of the execution costs): B = F +v(87) n Suppose that broker analysts have estimated F to be $0.02 per order, based on knowledge of order processing costs, and vand m to be 0.00005 and 12. respectively What is the optimal number of transactions? 131 O 262 0312 O 529

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