An investor purchases a $10-$year callable bond with face amount of $1000$ for price $P.$ The bond has an annual nominal coupon rate of $10\%$ paid semi$-$annually.

The bond may be called at par by the issuer on every other coupon payment date, beginning with the second coupon payment date.

The investor earns at least an annual nominal yield of $12\%$ compounded semi$-$annually regardless of when the bond is redeemed.

Calculate the largest possible value of $P.$

$($A$)885$

$($B$)892$

$($C$)926$

$($D$)965$

$($E$)982$

Hello. I calculated E to be the answer but I have found conflicting answers so i wanted to know if you could solve this for me$.$ Thank you!