Question $3(30$ marks$)$ A portfolio $($worth $$1$ million$)$ consists of investing in $3$ local stocks. The closing price $($in HK dollars$)$ of each the three stocks are listed in the following table from $4$ Feb $2025$ till $4$ March $2025.$ China mobile stock, Tecent stock and Alibaba stock accounts for $$200,000,$ $$400,000,$ $$400,000$ respectively of the total $$1$ million portfolio value. Suppose today is $4$ March $2025,($i$)$ compute the $90\%$ one$-$day VaR using historical simulation method. $($ii$)$ comment on the answer found regarding the composition of the portfolio. Date China Mobile Tecent Alibaba $3/4/202579\mathrm{.}5491127\mathrm{.}802/28/202579478\mathrm{.}6127\mathrm{.}502/27/202578\mathrm{.}75495\mathrm{.}4135\mathrm{.}702/26/202579501\mathrm{.}5136\mathrm{.}902/25/202580\mathrm{.}15484\mathrm{.}8130\mathrm{.}602/24/202581\mathrm{.}1497\mathrm{.}2135\mathrm{.}702/21/202582\mathrm{.}5517138\mathrm{.}502/20/202580\mathrm{.}1486\mathrm{.}8120\mathrm{.}902/19/202580\mathrm{.}75497\mathrm{.}8124\mathrm{.}102/18/202580\mathrm{.}5503\mathrm{.}5126\mathrm{.}302/17/202580\mathrm{.}25493\mathrm{.}6122\mathrm{.}202/14/202579\mathrm{.}9474\mathrm{.}8124\mathrm{.}102/13/202578442116\mathrm{.}72/12/202577\mathrm{.}9444\mathrm{.}2113\mathrm{.}82/11/202577\mathrm{.}05427\mathrm{.}4104\mathrm{.}92/10/202577\mathrm{.}15437105\mathrm{.}52/7/202575\mathrm{.}5428\mathrm{.}21002/6/202575\mathrm{.}55420\mathrm{.}498\mathrm{.}552/5/202575\mathrm{.}7417\mathrm{.}897\mathrm{.}552/4/202576\mathrm{.}5420\mathrm{.}897\mathrm{.}65$