A bond pays coupons of size $30$ every $6-$months and the bond is redeemable for $1100.$ Furthermore,

you are given the following information:

$$ The bond is purchased at P to yield and annual rate of $8\%$ convertible semiannually. The absolute difference between the book$-$value $($i$.$e$.$ bond value$)$ after the $15$th coupon and

the book value after the $16$th coupon is $1\mathrm{.}50.$

Calculate P$.$ Give your answer rounded to the nearest whole number $($i$.$e$.$ X$).$