b$)$ Consider a coupon bond selling at par with Macaulay$$s duration $=$ D and YTM $=$ r$.$ All rates are quoted in annual compounding and coupons are paid annually.

i$.$ Show that for a $2-$year coupon bond, it holds that D$=($r$+2)/($r$+1).$ ii$.$ Discuss the financial implications of the result from part $($i$).$