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A second version of the Markowitz portfolio model maximizes expected return subject to a constraint that the variance of the portfolio must be less than

A second version of the Markowitz portfolio model maximizes expected return subject to a constraint that the variance of the portfolio must be less than or equal to some specified amount. Consider the Hauck Financial Service data.
Click on the datafile logo to reference the data.
Annual Return (%)
Mutual Fund Year 1 Year 2 Year 3 Year 4 Year 5
Foreign Stock 10.0613.1213.4745.42-21.93
Intermediate-Term Bond 17.643.257.51-1.337.36
Large-Cap Growth 32.4118.7133.2841.46-23.26
Large-Cap Value 32.3620.6112.937.06-5.37
Small-Cap Growth 33.4419.403.8558.68-9.02
Small-Cap Value 24.5625.32-6.705.4317.31
(a) Construct this version of the Markowitz model for a maximum variance of 38.
Let:
FS = proportion of portfolio invested in the foreign stock mutual fund
IB = proportion of portfolio invested in the intermediate-term bond fund
LG = proportion of portfolio invested in the large-cap growth fund
LV = proportion of portfolio invested in the large-cap value fund
SG = proportion of portfolio invested in the small-cap growth fund
SV = proportion of portfolio invested in the small-cap value fund
= the expected return of the portfolio
Rs = the return of the portfolio in years
If required, round your answers to two decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank (Example: -300). If the constant is "1" it must be entered in the box. If your answer is zero enter 0.
Max
s.t.
10.06
FS +
17.64
IB +
32.41
LG +
32.36
LV +
33.44
SG +
24.56
SV
=
R 1
13.12
FS +
3.25
IB +
18.71
LG +
20.61
LV +
19.4
SG +
25.32
SV
=
R 2
13.47
FS +
7.51
IB +
33.28
LG +
12.93
LV +
3.85
SG +
-6.7
SV
=
R 3
45.42
FS +
-1.33
IB +
41.46
LG +
7.06
LV +
58.68
SG +
5.43
SV
=
R 4
-21.93
FS +
7.36
IB +
-23.26
LG +
-5.37
LV +
-9.02
SG +
17.31
SV
=
R 5
1
FS +
1
IB +
1
LG +
1
LV +
1
SG +
1
SV
=
1
.20
=
.20
=
38
FS, IB, LG, LV, SG, SV
>=
0
(b\table[[Mutual Fund,Year 1,Year 2,Year 3,Year 4,Year 5],[Foreign Stock,10.060,13.120,13.470,45.420,-21.930],[Intermediate-Term Bond,17.640,3.250,7.510,-1.330,7.360],[Large-Cap Growth,32.410,18.710,33.280,41.460,-23.260],[Large-Cap Value,32.360,20.610,12.930,7.060,-5.370],[Small-Cap Growth,33.440,19.400,3.850,58.680,-9.020],[Small-Cap Value,24.560,25.320,-6.700,5.430,17.310]]) Solve the model developed in part (a).
If required, round your answers to two decimal places. If your answer is zero, enter 0.
FS ?%
IB ?%
LG ?%
LV
0
%
SG
0
%
SV ?%
Portfolio Expected Return =?%
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