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You are presented with the following information relating to the possible returns on the stock of company J . table [ [ Possible return,Kes

You are presented with the following information relating to the possible returns on the stock of company J.
\table[[Possible return,Kes 100,Kes 120,Kes 130,Kes 150,Kes 180,Kes 220],[Probability,0.05,0.14,0.2,0.36,0.2,0.05]]
Required:
i) Determine the expected return, the standard deviation of returns and coefficient of variation for the above stock.
ii) Suppose you have decided to invest in the above stock, based on the values computed in part (i).
However, you have read in the financial press about the risk-reduction benefits of diversification and decided to combine stock J with other securities. Your Financial Analyst has provided you with the following information relating to two stocks of companies K and L , and an outstanding bond issued by company M . Further, the correlation coefficients between the returns on pair-wise combinations of the four securities are provided:
\table[[Security,Expected Return (Kes),Standard Deviation (Kes),Correlation with],[J,K,L],[250,50,0.5,,],[L,80,10,0.1,(0.2),],[M,100,20,0.15,0.1,0.3]]
Your maximum acceptable standard deviation on the resulting portfolio is Kshs.30 and you have a total of Kshs 1,500,000 to invest in all of the above securities. Your financial analyst has suggested that Kshs.300,000 and Kshs 500,000 should be invested in stock L and bond M, respectively. How much money must you invest in each of the remaining securities to attain your desired risk target?
iii) Compute the coefficient of variation of the resulting portfolio.
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