A ten$-$year bond with a face amount of $1,000,$ a redemption value of $C,$ and an annual coupon rate of $7\%$ paid semiannually is

purchased at a discount to yield an annual nominal rate of $7\mathrm{.}5\%,$ convertible semiannually.

The accumulation of discount in the $12$th coupon is $7.$

Calculate $C.$

$673$

$799$

$1,193$

$1,344$

$1,540$