The spot DOW index is quoted at $32514\mathrm{.}3$ and the E mini$-$DOW has a multiple of $$5.$ If the risk$-$free rate is $4\mathrm{.}3\%,$ then what is a fair future index level on a future contract that expires in $3$ months? If DOW index is quoted at $31208\mathrm{.}2$ one month later, then what is the value of the E mini$-$DOW contract?