Problem $10-16($Algo$)$

Consider a bond paying a coupon rate of $12\mathrm{.}25\%$ per year semiannually when the market interest rate is only $4\mathrm{.}9\%$ per half$-$year. The bond has six years until maturity.

Required:

a$.$ Find the bond's price today and six months from now after the next coupon is paid. $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

b$.$ What is the total rate of return on the bond? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$