On November $1,2015$ Smith paid $1000$ for a government sav$-$ ings bond of face amount $1000$ with annual coupons of $8\%,$ with maturity ot occur on November $1,2027.$ On November $1,2021$ the government issues new savings bonds with the samematurity date of November $1,2027,$ but with annual coupons of $9\mathrm{.}5\%($Smith$\text{'}$s bond will still pay $8\%).$ The government of$-$ fers Smith a cash bonus of Xto be paid on the maturity date if he holds his old bond until maturity. Smith can cash in his old bond on November $1,2021$ and buy a new bond for $1000.$ fI both options yield $9\mathrm{.}5\%$ from November $1,2021$ ot November $1,2027,$ find $.$X