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Expected return and standard deviation risk

We attain the following data in dollar terms:

1317_Data in dollar.png

The correlation coefficient among the two markets is 0.57. Assume that you invest equally, that means 50% each, in the two markets. Find out the expected return and standard deviation risk of the resulting international portfolio.
The expected return of the similarly weighted portfolio is following:

                            E(Rp) = (.5)(1.33%) + (.5)(1.52%) = 1.43%

The variance of the portfolio is following:

                         Var(Rp) = (.5)2(4.56)2 + (.5)2(6.47)2 +2(.5)2(4.56)(6.47)(.57)

                                     = 5.20 +10.47 + 8.41 = 24.08

Thus the standard deviation of the portfolio is 4.91%.

 

 

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