| Tickers WMT KO PFE CVS BRK.A # Assets WMT ко PFE CVS BRK.A WMT Ko 5 PFE CVS 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 КО 0.240 0.985 0.140 0.350 0.567 StdDev (Volatility o) 13.74% Portfolio Annualized Covariance Matrix КО 0.007 0.028 0.006 0.014 PFE 0.085 0.140 0.968 0.198 0.168 PFE 0.004 0.006 0.068 0.013 Allocation (w) 0.20 0.10 0.05 0.25 0.40 Sharpe Ratio 0.58 CVS 0.348 0.350 0.198 0.999 0.457 CVS 0.014 0.014 0.013 0.059 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 Annualized StdDev (Volatility o) 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
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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 and graph of the distribution of the return of the portfolio?

(what i have so far attached for reference - but just wondering what formula/concept i use to do so)

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
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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