A bond is selling for $$1029.$ The coupon rate is $7\mathrm{.}8\%.$ It has $18-$years till maturity, with semi$-$annual compounding. What is the yield$-$to$-$maturity $($YTM$)?$ calculate the realized compound yield $($RCY$)$ with a re$-$investment rate of $9\%.$ What problem does the RCY correct and why is this important? If the investor believes interest rates are going to increase, is this a good bond choice? Think Price$/$Yield curve. please show work and steps.