Problem $6-16$ Bond Returns $($LO$2)$ You buy a bond for $$991$ that has

a coupon rate of $5\mathrm{.}9\%$ and a $10-$year maturity. A year later, the

bond price is $$1,176.($Assume a face value of $$1,000$ and annual

coupon payments.$)$a$.$ What is the new yield to maturity on the bond? $($Do not round

intermediate calculations. Enter your answer as a percent rounded

to $2$ decimal places.$)$Yield to maturity $\%$b$.$ What is your rate of return over the year? $($Do not round

intermediate calculations. Enter your answer as a percent rounded

to $2$ decimal places.$)$Rate of return $\%$