Mehmet signed a contract for $40$ million dollars. The terms of the contract were $$4$ million immediately, $$5\mathrm{.}4$ million per year for the first four years $($with the first payment after one year$)$ and $$4$ million per year for the next four years $($with the first payment at year $5).$ If Mehmet$$s interest rate is $9\%$ per year, what would his contract be worth at the time he signs it$?$