Question $6$

$5$ pts

Consider the following four risky assets:

$\backslash$table$[[$Country ETF,$\backslash$table$[[$Eximeted$],[$Retums$]],\backslash$table$[[$Standard$],[$Deviation$]],$Correlations,Australia,Austria,Belgum,Canada$],[$Australia$,10\mathrm{.}00\%,12\mathrm{.}00\%,$Australia,$1\mathrm{.}00,0\mathrm{.}12,0\mathrm{.}14,0\mathrm{.}65],[$Austria$,15\mathrm{.}00\%,17\mathrm{.}00\%,$Austria,$0\mathrm{.}12,1\mathrm{.}00,0\mathrm{.}33,0\mathrm{.}02],[$Belgium$,20\mathrm{.}00\%,25\mathrm{.}00\%,$Belgum,$0\mathrm{.}14,0\mathrm{.}33,1\mathrm{.}00,-0\mathrm{.}04],[$Canada$,28\mathrm{.}00\%,3200\%,$Canada,$0\mathrm{.}65,0\mathrm{.}02,-0\mathrm{.}04,1\mathrm{.}00],[$Risk$-$free Asset,$6\mathrm{.}00\%,0\mathrm{.}00\%,,,,,],[$Note the following:,$a=,155201,,h=,-7\mathrm{.}58162,,],[0\mathrm{.}11546,,1\mathrm{.}43095,,],[-0\mathrm{.}17965,,2\mathrm{.}23334,,],[048762,,391732,,]]$

An investor currently has $50\%$ of her money in "Australia" and $50\%$ of her money in "Belgium". However, she wants to create a portfolio with the same expected return as her current portfolio, but with the lowest variance possible using all $4$ assets, but not the riskfree asset. What percent of her money should she put into the "Canada" asset to achieve this goal?

Answer in decimal format, rounded to $4$ decimal places. For example, if your answer is $12\mathrm{.}124\%,$ enter $"{0\mathrm{.}1212}^{\text{'}\text{'}}.$ If your answer is $12\mathrm{.}188\%,$ enter ${0\mathrm{.}1219}^{\text{'}}.$