You manage a pension fund. The fund promises to pay out $$10$ million in $5$ years. You buy $$7472582$ worth of par$-$value bonds that pay $6\%$ annually and mature in $8$ years. $5$ years from now, when you need to pay your pensioners, the market rate on same$-$risk bonds is $7\mathrm{.}7\%.$ Assume that $5$ years from now, the coupon payments that you have reinvested over the life of the fund are worth a total of $$2553702.$ Five years from now, when you need to pay out the money, what is total value of the pension fund? Round your answer to the nearest dollar.