Sue purchased a $10-$year par value bond with semiannual coupons at a nominal annual rate of $2\%$ convertible semiannually at a price of $$1028\mathrm{.}73.$ The

bond can be called at par value $x$ on any coupon date starting at the end of year $5.$ The price guarantees that Sue will receive a nominal annual rate of

interest convertible semiannually of a least $6\%.$ Calculate $x.$

Par value of bond, $x=$$