An investor purchases a $12-$year, $8\mathrm{.}1\%$ 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 $0\mathrm{.}6\%.$ The investor sells the bond after $5$ years. Assume that interest rates remain unchanged

at $8\mathrm{.}1+0\mathrm{.}6\%$ over the $5-$year holding period.

Per $100$ of par value, what is the future value of the reinvested coupon payments at the end of the

holding period?