It is August $13$th$,2018.$ The cheapest$-$to$-$deliver bond in a December $2018$ Treasury bond futures

contract is a $9\%$ coupon bond maturing in October $2025,$ with a quoted price of $107-17.$ Delivery is

expected to be made on December $31$st$,2018.$ The term structure is flat, and the rate of interest with

semi$-$annual compounding is $10\%$ per annum. The conversion factor for the bond is $1\mathrm{.}24.$ Calculate the

quoted futures price for the contract