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The following table is a list of all of the stocks that you have in your stock portfolio. The original purchase price, current price and your best guess for the "anticipated" price (one year into the future) is given below:
Share Price ($)
Stock #
Shares Owned
Purchase
Current
Expected In One Year
1
234
20
30
36
2
272
25
34
39
3
106
43
42
4
452
35
47
45
5
486
40
49
51
6
359
53
55
7
345
50
60
63
8
419
62
64
9
255
66
10
264
65
70
Assume that the capital gains tax rate on long term profits is 20%. In addition, selling shares incurs a transaction cost of 1% of the sale proceeds.
Suppose that you need at least $30,000 in cash today. As such, you must sell off some of your stocks.
Create an integer linear program that tells you how many shares of which stock to sell in order to get the cash you need such that the anticipated future portfolio value of the remaining stocks is maximized.
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