You observe the following market prices of zero$-$coupon bonds each with a face value of $$100$: You also observe a $10\%$ government coupon bond with Time to Maturity $($Years$)0\mathrm{.}5$ Price $981\mathrm{.}096$ face value of $10,000$ dollars, one year to maturity, paying semi$-$annual coupons. This bond has a market price equal to $$11,070.$ a$.$ Your friend claims that the market annual yield to maturity for the coupon paying bond is $4\mathrm{.}15\%.$ Is she correct?