Poseidon Corp. is issuing $20-$year, $$1,000$ face$-$value bond bonds. The bonds pay semiannual coupons at a $6\%$ annual rate, but will not be offered at par.

a$.$ If the bonds are offered for sale at $$952\mathrm{.}00,$ what is their YTM$?$

b$.$ What is the bond's YTM if they are offered for sale at $$1,080?$

c$.$ What is the bond's YTM if they are offered for sale at $$760?$