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October 12th, 2008, 02:21 AM   #1
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Finance: buying stocks with regard to brokerage

Hi!

I have 1,000,000 dollars invested as following:

10% in stock A
12% in stock B
5% in stock C
73% in stock D

But I want them to be invested as following:

10% in stock A
20% in stock B
40% in stock C
30% in stock D

What transactions should I make to exactly reach the wanted weights? The brokerage cost is 1% of the size of the transactions so if I e.g. sell 430,000 dollars of stock D it will cost me 4300 dollars in brokerage.

I've asked the same question in another forum (http://www.mathhelpforum.com/math-he...tml#post198578) but haven't found a solution to the problem.
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