Ralph Vince - Portfolio Mathematics

(Brent) #1

Classical Portfolio Construction 251


Elementary Transformation Number 7


1 0 0 0.3080 0.6862 7.2233 | 0.14075
0 1 0 1.1196 −0.986 −10.38 | 0.67265
001 −0.427 0.3002 3.1602 | 0.18658
000 1 −1.545 −14.72 | 0.75192 row 4∗(1/−.23881)
0 0 0 0.0795 0.1609 0.4839 |−0.1291
0 0 0 0 0.085 1 | 0


Elementary Transformation Number 8


X 1 X 2 X 3 X 4 L 1 L 2 | Answer Explanation


1 0 0 0 1.1624 11.760 |−0.0908 row 1+(−.30806
∗row 4)
0 1 0 0 0.7443 6.1080 |−0.1692 row 2+(−1.119669
∗row 4)
0010 −0.360 −3.139 | 0.50819 row 3+(.42772
∗row 4)
0001 −1.545 −14.72 | 0.75192
0 0 0 0 0.2839 1.6557 |−0.1889 row 5+(−.079551
∗row 4)
0 0 0 0 0.085 1 | 0


Elementary Transformation Number 9


1 0 0 0 1.1624 11.761 |−0.0909
0 1 0 0 0.7445 6.1098 |−0.1693
0010 −0.361 −3.140 | 0.50823
0001 −1.545 −14.72 | 0.75192
0 0 0 0 1 5.8307 |−0.6655 row 5∗(1/.28396)
0 0 0 0 0.085 1 | 0


Elementary Transformation Number 10


1 0 0 0 0 4.9831 | 0.68280 row 1+(−1.16248
∗row 5)
0 1 0 0 0 1.7685 | 0.32620 row 2+(−.74455
∗row 5)
00 1 0 0 −1.035 | 0.26796 row 3+(.3610
∗row 5)
0 0.0000 −0.000 1.0000 −0.000 −5.715 |−0.2769 row 4+(1.5458
∗row 5)
0 0 0 0 1 5.8312 |−0.6655
0 0 0 0 0 0.5043 | 0.05657 row 6+(−.085
∗row 5)

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