A $1,5007\%$ bond with semiannual coupons is redeemable for $1,700$ in fifteen years. The bond is purchased to yield $9\%$ per year compounded semiannually. Find

$($a$)$ The price of the bond $[1309\mathrm{.}07]$

$($b$)$ The amount of interest in the $10$th coupon $[62\mathrm{.}02]$

$($c$)$ The accumulation of discount in the $10$th coupon $[9\mathrm{.}52]$

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