You observe the following market prices of zero$-$coupon bonds each with a face value of $$100$: You also observe a $10\%$ government coupon bond with Time to Maturity $($Years$)$ Price $$88,777\mathrm{.}52$ $$930,238\mathrm{.}22$ $$14019\mathrm{.}06173,963\mathrm{.}146874\mathrm{.}680\mathrm{.}5981\mathrm{.}096$ face value of $10,000$ dollars, one year to maturity, paying semi$-$annual coupons. This bond has a market price equal to $$11,070.$ a$.$ Find the annualized yield to maturity for the two zero$-$coupon bonds? b$.$ Your friend claims that the market annual yield to maturity for the coupon paying bond is $4\mathrm{.}15\%.$ Is she correct?