| Tickers WMT KO PFE CVS BRK.A # Assets 5 WMT ко PFE CVS BRK.A WMT ΚΟ PFE CVS BRK A Allocation Percentage Name Individual Portfolio Assets 20.00% Walmart Inc 10.00% Coca-Cola Co 5.00% Pfizer Inc. 25.00% CVS Health Corp 40.00% Berkshire Hathaway Inc. Class A Portfolio Calculations (Annualized) Expected Returns Allocation 100.00% WMT 1.000 0.240 0.085 0.348 0.318 Portfolio Coorelation Matrix 7.32% WMT 0.027 0.007 0.004 0.014 0.009 КО 0.240 0.985 0.140 0.350 0.567 StdDev (Volatility o) 13.74% Portfolio Annualized Covariance Matrix KO 0.007 0.028 0.006 0.014 0.016 PFE 0.085 0.140 0.968 0.198 0.168 PFE 0.004 0.006 0.068 0.013 0.007 Allocation (w) 0.20 0.10 0.05 0.25 0.40 Sharpe Ratio CVS 0.348 0.350 0.198 0.999 0.457 CVS 0.014 0.014 0.013 0.059 0.018 0.58 Mean Returns (μ) 6.24% 4.06% 0.33% 7.33% 9.53% BRK.A 0.318 0.567 0.168 0.457 0.994 BRK.A 0.009 0.016 0.007 0.018 0.027 Annualized StdDev (Volatility a) 15.65% 14.89% 15.33% 24.75% 16.05% Sharpe Ratio 0.44 0.31 0.06 0.32 0.63
| Tickers WMT KO PFE CVS BRK.A # Assets 5 WMT ко PFE CVS BRK.A WMT ΚΟ PFE CVS BRK A Allocation Percentage Name Individual Portfolio Assets 20.00% Walmart Inc 10.00% Coca-Cola Co 5.00% Pfizer Inc. 25.00% CVS Health Corp 40.00% Berkshire Hathaway Inc. Class A Portfolio Calculations (Annualized) Expected Returns Allocation 100.00% WMT 1.000 0.240 0.085 0.348 0.318 Portfolio Coorelation Matrix 7.32% WMT 0.027 0.007 0.004 0.014 0.009 КО 0.240 0.985 0.140 0.350 0.567 StdDev (Volatility o) 13.74% Portfolio Annualized Covariance Matrix KO 0.007 0.028 0.006 0.014 0.016 PFE 0.085 0.140 0.968 0.198 0.168 PFE 0.004 0.006 0.068 0.013 0.007 Allocation (w) 0.20 0.10 0.05 0.25 0.40 Sharpe Ratio CVS 0.348 0.350 0.198 0.999 0.457 CVS 0.014 0.014 0.013 0.059 0.018 0.58 Mean Returns (μ) 6.24% 4.06% 0.33% 7.33% 9.53% BRK.A 0.318 0.567 0.168 0.457 0.994 BRK.A 0.009 0.016 0.007 0.018 0.027 Annualized StdDev (Volatility a) 15.65% 14.89% 15.33% 24.75% 16.05% Sharpe Ratio 0.44 0.31 0.06 0.32 0.63
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
Related questions
Question
I've a set of 5 securities and their individual and portfolio SD/Mean etc. i had to choose random weightings for them but then have a question around minimizing CV.
How do I find the combination of the weights that minimizes CV of the portfolio?
(what i have so far attached for reference - but just wondering what formula/concept i use to do so)
Transcribed Image Text:Individual Portfolio Assets
Annualized
Allocation
Mean Returns
StdDev
Sharpe Ratio
0.44
Tickers
Percentage
Name
Allocation (w)
(Volatility a)
(H)
6.24%
WMT
20.00% Walmart Inc
0.20
15.65%
KO
10.00% Coca-Cola Co
0.10
4.06%
14.89%
0.31
PFE
5.00% Pfizer Inc.
0.05
0.33%
15.33%
0.06
cvs
25.00% CVS Health Corp
0.25
7.33%
24.75%
0.32
BRK.A
40.00% Berkshire Hathaway Inc. Class A
0.40
9.53%
16.05%
0.63
Portfolio Calculations (Annualized)
Expected
StdDev
# Assets
Allocation
Sharpe Ratio
Returns
(Volatility o)
100.00%
7.32%
13.74%
0.58
Portfolio Coorelation Matrix
WMT
ко
PFE
CVs
BRK.A
WMT
1.000
0.240
0.085
0,348
0.318
ко
0.240
0.985
0.140
0.350
0.567
PFE
0.085
0.140
0.968
0.198
0.168
CVs
0.348
0.350
0.198
0.999
0.457
BRK.A
0.318
0.567
0.168
0.457
0.994
Portfolio Annualized Covariance Matrix
WMT
ко
PFE
CVs
BRK.A
WMT
0.027
0.007
0.004
0.014
0.009
ко
0.007
0.028
0.006
0.014
0.016
PFE
0.004
0.006
0.068
0.013
0.007
CVs
0.014
0.014
0.013
0.059
0.018
BRK.A
0.009
0.016
0.007
0.018
0.027
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