A $1000$ Baht $3-$year bond with coupon rate of $5\%$ payable semi$-$annually. The bond is bought at $1049\mathrm{.}430$ which yields the rate of $8\mathrm{.}16\%$ p$.$a$.$ effectively.

$($a$)(4$ points$)$ Find the redemption value of this bond.

$($b$)(3$ points$)$ Is this bond a premium or discount bond? Find the total amount of premium$/$discount$.$