An investor purchases a $11-$year, $8\mathrm{.}9\%$ annual coupon payment bond at a price equal to par

value. After the bond is purchased and before the first coupon is received, interest rates increase

by $1\mathrm{.}4\%.$ The investor sells the bond after $3$ years. Assume that interest rates remain unchanged

at $8\mathrm{.}9+1\mathrm{.}4\%$ over the $3-$year holding period.

Assuming that all coupons are reinvested over the holding period, what is the investor$$s $3-$year horizon yield?