Suppose there are two bonds currently traded in the market: $($i$)$ a two$-$year zero

coupon bond, with a face value of $5,000,$ selling for $4,550$; $($ii$)$ a one year zero coupon,

also with a face value of $5,000,$ selling at $4,650.---$

$[7\mathrm{.}5$ marks$]$ What is the annual yield to maturity of the two$-$year bond?