A portfolio consists of the following two funds. Fund A Fund B $ Invested $ 12,000 $ 8,000 Weight 60 % 40 % Exp Return 15 % 12 % Std Dev 24 % 14 % Beta 1.92 1.27 Corr(A, B) 0.43 Riskfree rate 3.6 % What is the Sharpe ratio of the portfolio?

Sharpen Ratio   =                Rp  - Rf

                         standard deviation of portfolio

                        =    13.8%  - 3.6%

                                     173.11%

                              =   0.05892

                              = 0.059

workings

Return of portfolio   =   Ra*wa  +  Rb*Wb

                            =  15%*0.6  +  12%*0.4  

                           =   9%  +  4.8%  =  13.8%

Standard deviation of portfolio =  square root of variance

= √ stdA²wa² + stadB²wb² + 2wawbcorrAB

= √(24%*0.6)² +(14%*0.4)²  + 2*0.6*0.4*1.27

=  √207.36% + 31.36% + 0.6096

=  √2.9968

= 1.73

=  173.11%

Explanation:

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