Congratulations! You have just won America's Got Talent and the much$-$ballyfobedgrand prize of $$1$ million! However, had you read the fine print at the end of the show's credits, you would have seen that the prize is actually an annuity paid out in equal payments over a $40-$year period $($or $$25,000$ per year$).$ If your opportunity cost is $6\%,$ what is the actual value of this prize to you at the time of your victory? Assume the first payment is made immediately. $($Hint: this is an "annuity due" problem.$)$