$1.$ A global equify manager is assigned to select stocks from a universe or large stocks throughout thu world. The manager will be evaluated by comparing her returns to the return on the MSCI World Market Portiolio. but she is free to hold stocks from various countries in whatever proportions she finds desirable. Results for a given month are contained in the following table $(12$ Marks$)$: $\backslash$begin$\{$tabular$\}\{|$l$|$c$|$c$|$c$|$c$|\}\backslash$hline Country & $\backslash$begin$\{$tabular$\}\{$c$\}$ Weight In $\backslash \backslash$ MSCI Index $\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$ Manager's $\backslash \backslash$ Weight $\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$ Manager's Return $\backslash \backslash$ in Country $\backslash$end$\{$tabular$\}$ & $\backslash$begin$\{$tabular$\}\{$c$\}$ Return of Stock Index $\backslash \backslash$ for That Country $\backslash$end$\{$tabular$\}\backslash \backslash \backslash$hline U$.$K$.$ & $0\mathrm{.}26$ & $0\mathrm{.}33$ & $\backslash (22\backslash \%\backslash )$ & $\backslash (13\backslash \%\backslash )\backslash \backslash \backslash$hline Japan & $0\mathrm{.}39$ & $0\mathrm{.}3$ & $16$ & $16\backslash \backslash \backslash$hline U$.$S$.$ & $0\mathrm{.}34$ & $0\mathrm{.}25$ & $10$ & $12\backslash \backslash \backslash$hline Germany & $0\mathrm{.}01$ & $0\mathrm{.}12$ & $6$ & $13\backslash \backslash \backslash$hline $\backslash$end$\{$tabular$\}$ a$)$ Calculate the total value added of all the manager's decisions this period $(4$Marks$).$ b$)$ Calculate the value added $($or subtracted$)$ by her country allocation decisions $(4$ Marks$).$ c$)$ Calculate the value added from her stock selection ability within countries $(4$ Marks$).$