$($without the use of AI chat gpt $)$ Please solve this question with steps. $5.$ You are given the following information on two bonds. Bond X is a zero$-$coupon bond that will pay a redemption amount of C at the end of $15$ years and is currently selling for $706\mathrm{.}27.$ Bond Y is a $15-$year bond, redeemed at par, with face amount of $100$ and coupons payable quarterly at a nominal interest rate of $7\%,$ compounded quarterly and is currently selling at par. Find C if both bonds have the same nominal yield rate convertible quarterly.