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ABC Ltd intends to invest Kshs 2,400,000 in a portfolio comprising FOUR securities. The following information relates to the securities under consideration: Security Return (%)

ABC Ltd intends to invest Kshs 2,400,000 in a portfolio comprising

FOUR securities. The following information relates  to the securities under consideration:

Security          Return (%)      Standard Deviation (%)              weight
 
A                           12                       3.2                                         0.25
 
B                          16                       1.4                                         0.33
 
C                           14                       2.6                                         0.27
 
D                           10                       1.7                                         0.15

The  covariance between each of the  possible security combinations  in the portfolio is given below

                              Portfolio            Covariance
 
                                A,B                   2.4
                                A,C                 -1.2
 
                                A,D                   3.9
 
                                 B,C                -1.5
 
                                B,D                  2.0
 
                                C,D                  1.6
 
 
Assume  that the securities are not divisible  and each portfolio comprises two different securities.

i. Calculate  the standard deviation and coefficient of variation of each possible portfolio.

ii. Advice  the company on which portfolio to invest its funds based on your results in      

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