$(2)$ Suppose you are a Canadian bond portfolio manager who has already achieved benchmarkbeating returns over the first half of the year and you want to preserve your "winning" record for the full year $-$ and thereby lock in your hefty annual performance bonus $-$ by fully hedging the performance of your portfolio of Canadian bonds for the remainder of the year. How would you recommend doing this using $$100,000$ face value Gov't of Canada CGB bond futures contracts $-$ currently trading at $118\mathrm{.}05-$ with the following projected yearend value distributions? The yield on the $10-$year Gov't of Canada bond is currently $2\mathrm{.}00\%($i$.$e$.,$ as at June ${30}^{th})$ and the total market value $($MV$)$ of your portfolio of Cdn bonds is $$250$ million as at June ${30}^{th}.$

$\backslash$table$[[\backslash$table$[[$Yearend $10-$Year$],[$Canada Bond Yield$]],\backslash$table$[[$Projected Yearend MV of$],[$Canadian Bond Portfolio$]],\backslash$table$[[$Projected Yearend CGB$],[$Bond Futures Price$]]],[\%,$ $ millions$),($per $$100$ FV$)],[1\mathrm{.}50,262,123\mathrm{.}14],[2\mathrm{.}00,250,118\mathrm{.}05],[2\mathrm{.}50,239,113\mathrm{.}20]]$