Consider a bond $($with par value $=$ $$1,000)$ paying a coupon rate of $6\%$ per year semiannually when the market interest rate is only $3\%$ per half$-$year. The bond has three years until maturity.

Required:

Find the bond$$s price today and six months from now after the next coupon is paid.

What is the total $(6-$month$)$ rate of return on the bond?