$3.$ A$($n$)8\%$ bond with $12$ years left to maturity has a$$ YTM of $9\mathrm{.}7\%.$ The bond's price should be $$\_\_\_\_\_\_\_\_\_\_.$You should assume as usual that the coupon payments occur semiannually.

$4.$ A $10-$year $5\mathrm{.}2\%$ coupon bond was issued $4$ year$($s$)$ ago. $$Similarly risky bonds are yielding $5\mathrm{.}5\%.$Assume semi$-$annual coupon payments. $$The bond's price should be $$\_\_\_\_\_\_\_\_\_\_\_.$

Hint: Original bond maturity is not relevant $--$ what matters is the number of coupon payment periods remaining until maturity.