Consider the data below for six furniture companies. 2 A Variance- covariance matrix B D E F G H La-Z-Boy Kimball Flexsteel Leggett Miller Shaw Means 3 La-Z-Boy 0.1152 0.0398 0.1792 0.0492 0.0568 0.0989 29.24% 4 Kimball 0.0398 5 Flexsteel 0.1792 6 Leggett 0.0492 0.0649 0.0447 0.0447 0.3334 0.0062 0.0775 0.0062 0.0349 0.0269 20.68% 0.0775 0.0886 0.1487 25.02% 0.1033 0.0191 0.0597 31.64% 7 Miller 8 Shaw 0.0568 0.0349 0.0989 0.0269 0.1487 0.0886 0.0191 0.0594 0.0243 15.34% 0.0597 0.0243 0.1653 43.87% a. Given this matrix, and assuming that the risk-free rate is 0%, calculate the efficient portfolio of these six firms. b. Repeat, assuming that the risk-free rate is 10%. c. Use these two portfolios to generate an efficient frontier for the six furniture companies. Plot this frontier.

Cornerstones of Cost Management (Cornerstones Series)
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Author:Don R. Hansen, Maryanne M. Mowen
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Chapter18: Pricing And Profitability Analysis
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Consider the data below for six furniture companies.
2
A
Variance-
covariance
matrix
B
D
E
F
G
H
La-Z-Boy Kimball Flexsteel Leggett
Miller
Shaw
Means
3 La-Z-Boy
0.1152 0.0398 0.1792 0.0492
0.0568
0.0989
29.24%
4 Kimball
0.0398
5 Flexsteel
0.1792
6 Leggett
0.0492
0.0649 0.0447
0.0447 0.3334
0.0062 0.0775
0.0062 0.0349 0.0269
20.68%
0.0775
0.0886
0.1487
25.02%
0.1033
0.0191
0.0597
31.64%
7 Miller
8
Shaw
0.0568 0.0349
0.0989 0.0269 0.1487
0.0886
0.0191
0.0594
0.0243
15.34%
0.0597
0.0243 0.1653
43.87%
a. Given this matrix, and assuming that the risk-free rate is 0%, calculate the efficient
portfolio of these six firms.
b. Repeat, assuming that the risk-free rate is 10%.
c. Use these two portfolios to generate an efficient frontier for the six furniture companies.
Plot this frontier.
Transcribed Image Text:Consider the data below for six furniture companies. 2 A Variance- covariance matrix B D E F G H La-Z-Boy Kimball Flexsteel Leggett Miller Shaw Means 3 La-Z-Boy 0.1152 0.0398 0.1792 0.0492 0.0568 0.0989 29.24% 4 Kimball 0.0398 5 Flexsteel 0.1792 6 Leggett 0.0492 0.0649 0.0447 0.0447 0.3334 0.0062 0.0775 0.0062 0.0349 0.0269 20.68% 0.0775 0.0886 0.1487 25.02% 0.1033 0.0191 0.0597 31.64% 7 Miller 8 Shaw 0.0568 0.0349 0.0989 0.0269 0.1487 0.0886 0.0191 0.0594 0.0243 15.34% 0.0597 0.0243 0.1653 43.87% a. Given this matrix, and assuming that the risk-free rate is 0%, calculate the efficient portfolio of these six firms. b. Repeat, assuming that the risk-free rate is 10%. c. Use these two portfolios to generate an efficient frontier for the six furniture companies. Plot this frontier.
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