Suppose the U$.$S$.$ Treasury issues $$1,000$ million face value, $7\mathrm{.}5\%,30-$year bonds on January $15,2006.$ Coupon interest is paid semi$-$annually with the face value payable in $30$ years $(1/15/2036).$

c$.$ If these bonds are priced in the market at $94$ on the issue date $($i$.$e$.$ $$94$ purchase price for each $$100$ of face value on $1/15/2006),$ what is the stated yield to maturity?

d$.$ If the price is $101,$ what is the stated yield to maturity?

e$.$ What is the general relationship among price, coupon, yield and par value?