A $10-$year, $12\%$ coupon bond has a par value of $$1,000$ and may be called in $4$ years at a $6\%$ premium. The bond sells for $$1,100$ now. $($Assume that the bond has just been issued.$)$

a$.$ Calculate the bond$$s yield to maturity $($YTM$).$

b$.$ Calculate the bond$$s current yield $($CY$).$

c$.$ Calculate the bond$$s $($expected$)$ capital gains or loss yield $($CGY$).$

d$.$ Calculate the bond$$s yield to call $($YTC$)$

Wherever appropriate, show the $($abbreviated$)$ time line $($TL$)$ and use two methods: Numerical Solution $($NS; show the expression$/$equation only$)$ and Financial Calculator Solution $($FCS$).$ Use

$|$ and $-$ to make time lines.