You have just been informed that, in $2$ months, you will receive $100$ thousand dollars inherited from a recently deceased relative. You want to invest your money in safe, interest$-$bearing instruments, so you decide to buy $5-$year Treasury notes. However, he believes interest rates will fall and, within two months, he will have to pay much more than he would for five$-$year Treasury notes. You decide to analyze the futures and find a quote of $111-08\mathrm{.}5$ for five$-$year Treasury notes due in $2$ months. What does the quote mean in terms of price and how many contracts will you need to buy? How much money will you need to purchase the contract and how much to settle it$?$