Page 75 - CAPE Financial Services Syllabus Macmillan_Neat
P. 75

Holding Period Return                  =  (1  −           0)  +  
                                                      0                  0
Expected Return (Single asset)
Variance                                 ℎ 1     ,
Standard deviation                              0   
Portfolio return                                  

Variance of a portfolio               =   +  

                                                                        

                                                   () = ∑ 

                                                                       =1

                                       ℎ      ,
                                                  

                                                  

                                     2 = ∑=1[ − ()]2 
                                       ℎ     ,
                                                  
                                                  

                                     Square root of the variance

                                                                              

                                                      () = ∑ ()

                                                                            =1

                                               ℎ   ℎ   
                                          ()     

                                                ∗ () = () + (1 − )
                                           ℎ 

                                               
                                       (1 − ) ℎ   

                                                  −  
                                              ℎ  −    

                                          2 = 2 2 + 2 2 + 2(, )

                                     ℎ   ℎ     ℎ ,
                                         ℎ ℎ     ℎ 

Standard deviation of a portfolio    Square root of the variance
                      CXC A38/U2/16
                                     *When a risky asset is combined with a risk-free
                                     asset, the portfolio standard deviation equals the
                                     risky asset’s standard deviation multiplied by the
                                     portfolio proportion invested in the risky asset.

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