Back in $2006,$ the Canadian government issued some $20-$year $7\mathrm{.}5\%$ coupon bonds with semi$-$annual payments and a yield$-$to$-$maturity of $8\%.$ In $2008,$ Lisa bought herself one of these bonds, when their YTM was $8\mathrm{.}5\%.$ It is now $2013,$ and the yield on these bonds has risen all the way to $9\%.$

$($a$)$ What was the market value of the bond at the time of issue?