K Co. is a publicly listed company involved in the production of highly technical and sophisticated electronic components for complex machinery. It has a number of diverse and popular products, an active research and development department, significant cash reserves and a highly talented management who are very good in getting products to market quickly. A new industry that K Co. is looking to venture into is biotechnology, which has been expanding rapidly and there are strong indications that this recent growth is set to continue. However, K Co. has limited experience in this industry. Therefore, it believes that the best and quickest way to expand would be through acquiring a company already operating in this industry sector. Discussions taken place about the possibility of acquiring Tee Co. being acquired by K Co. Price of Tee company in stock market during last one year are as follows.

This question is incomplete, the complete question is;

K Co. is a publicly listed company involved in the production of highly technical and sophisticated electronic components for complex machinery. It has a number of diverse and popular products, an active research and development department, significant cash reserves and a highly talented management who are very good in getting products to market quickly.

A new industry that K Co. is looking to venture into is biotechnology, which has been expanding rapidly and there are strong indications that this recent growth is set to continue. However, K Co. has limited experience in this industry. Therefore, it believes that the best and quickest way to expand would be through acquiring a company already operating in this industry sector.

Discussions taken place about the possibility of acquiring Tee Co. being acquired by K Co. Price of Tee company in stock market during last one year are as follows.

Price at the end of month

Month  Month end Price    KSE 100 INDEX

Jan          175                         32600

Feb        185                         33900

March     152                         33500

April        190                         34000

May        195                          33500

June       188                          33800

July        190                           33700

Aug        195                           33200

Sep        190                           32900

Oct         185                           33100

Nov        190                           33900

Dec        88                             34100

a) Calculate average return for both stock and market

b) Calculate Standard deviation for both

c) Calculate coefficient of variation for both

d) Calculate Beta of stock

Answer:

a) AVERAGE RETURN =  -3.69%,  0.42%

b) STANDARD DEVIATION = 19.38%, 1.74%

c) COEFF OF VARIATION = -5.2562, 4.1035

d) BETA  = 1.89

Step-by-step explanation:

Month     Month-end-Price     RETURN     KSE-100-INDEX     RETURN  

Jan          175                                                  32600    

Feb          185                            5.71%            33900                 3.99%  

March      152                           -17.84%         33500              -1.18%  

April         190                            25.00%        34000                  1.49%  

May          195                            2.63%           33500                 -1.47%  

June         188                            -3.59%          33800                 0.90%  

July           190                            1.06%           33700                 -0.30%  

Aug           195                            2.63%           33200                 -1.48%  

Sep            190                           -2.56%          32900                -0.90%  

Oct             185                           -2.63%          33100                   0.61%  

Nov            190                            2.70%           33900                 2.42%  

Dec            88                             -53.68%         34100                0.59%  

AVERAGE   -3.69%                                             0.42%                         =MEAN

RETURN

STANDARD 19.38%                                              1.74%         =STDDEV

DEVIATION

COEFF OF   -5.2562                                            4.1035                =STD/MEAN

VARIATION                                                                                            

VARIANCE      3.76%                                               0.03%                         =VAR

COVARIANCE    0.000569039                                                            =COVAR

BETA                    1.89                          =COVAR / VARIANCE (KSE 100 INDEX)

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