An investor purchases a $13-$year, $5\mathrm{.}5\%$ 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 $1\mathrm{.}2\%.$ The investor sells the bond after $5$ years. Assume that interest rates remain unchanged

at $5\mathrm{.}5+1\mathrm{.}2\%$ over the $5-$year holding period.

Assuming that all coupons are reinvested over the holding period, what is the investor$$s $5-$year horizon yield?