$(4\mathrm{.}1\mathrm{.}2)$A twelve$-$year $100$ par value bond pays $7\%$ coupons semiannually. The bond is priced at $115\mathrm{.}84$ to yield an annual nominal rate of $6\%$ compounded semiannually.

$($a$)$Calculate the redemption value of the bond.

$($b$)$ Calculate the book value at the end of year $5$ immediately after the coupon payment.

$($c$)$Calculate the amount of interest in the $11$th coupon.