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You Have Collected Some Risk and Return Estimates for Various

Question 13

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You have collected some risk and return estimates for various market indexes. These indexes are the World stock market index of developed markets, the Morgan Stanley Capital International (MSCI) Europe, Australasia and Far East (EAFE) index, and the International Finance Corporation (IFC) Composite index of emerging markets. Here are some risk and return estimates for the future:
 Market  Return  Risk  Warld 10%16%/ EAFE 12%17% Camposite 15%25%\begin{array} { l c c } \text { Market } & \text { Return } & \text { Risk } \\\hline \text { Warld } & 10 \% & 16 \% / \\\text { EAFE } & 12 \% & 17 \% \\\text { Camposite } & 15 \% & 25 \%\end{array} All return and risk measures are calculated in U.S. dollars and are expressed in % per year. The correlation matrix is given below:
 Warld  EAFE  Campasite  Warld 1.00.50.2 EAFE 0.51.00.1 Compasite 0.20.11.0\begin{array} { l c c c } & \text { Warld } & \text { EAFE } & \text { Campasite } \\\hline \text { Warld } & 1.0 & 0.5 & 0.2 \\\text { EAFE } & 0.5 & 1.0 & 0 .1 \\\text { Compasite } & 0.2 & 0.1 & 1.0 \\\hline\end{array} a. Calculate the return and risk of a portfolio invested in the following proportions:
 Partfalia  Warld  EAFE  Campasite  A 50%50%0%B45%45%10% C 40%40%20%\begin{array} { c c c c } \hline \text { Partfalia } & \text { Warld } & \text { EAFE } & \text { Campasite } \\\hline \text { A } & 50 \% & 50 \% &0 \% \\B & 45 \% & 45 \% & 10 \% \\\text { C } & 40 \% & 40 \% & 20 \% \\\hline\end{array} b. Try to derive some estimate of the efficient frontier obtained by using these three indexes
(no short sales are allowed).

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a. Risk and return:
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