You have been asked to estimate the value of a $10-$year bond with a coupon that will be low initially but it is expected to grow later in the bond$$s life. The coupon is expected to be $5\%$ of the face value of the bond $($which is $ $1000)$ for the first $5$ years, and will increase by $1\%$ every year for the next $5$ years $$ the coupon rate will be $6\%$ in year $6,7\%$ in year $7,8\%$ in year $8,9\%$ in year $9$ and $10\%$ in year $10.$ Estimate the value of this bond.