Assuming you won R$10$ million in the Lotto jackpot, with a promise to make a payment of R$2$ million per year for the next $5$ years with an interest rate of $15\%.$ Calculate the amount that will be paid to you, after $1$ year and the total amount after the $5$ years and indicate whether you have really won R$10$ million or not. Show your calculations and define each term. $[10]$