Consider a $5-$year bond that pays a semi$-$annual coupon of $8\%$ on a face value of $$1,000.$ Note that the price function for this bond is P $($y$)=1000[1+(\mathrm{.}04$ y$)$a$10,$y $].$ The bond is currently trading at $$1,284\mathrm{.}14.$ Is its yield higher or lower than $5\%$ compounded semi$-$annually? Explain your answer.