Assume a fixed income security $($e$.$g$.$ a bond$),$ which has a face value of $$1,000,$ has a $9\%$ annual coupon rate $($it pays coupons semi annually$),$ and a remaining maturity of $20$ years. If the security is trading at a price of $$582\mathrm{.}64,$ what is the bond$$s yield to maturity? What is the bond$$s current yield? What is the bond$$s capital gain $($or loss$)$ yield?