Suppose that a portfolio manager purchases $$1$ million of par value of a $12-$year bond that has a coupon rate of $5\%$ and pays interest once per year. The first annual coupon payment will be made one year from now. How much will the portfolio manager have if she $(1)$ holds the bond until it matures $12$ years from now, and $(2)$ can reinvest all the annual interest payments at an annual interest rate of $6\mathrm{.}2\%?$