Problem $6\mathrm{.}1.$ A U$.$S$.$ Treasury bond pays a $7\%$ coupon on January $7$ and July $7.$ How much interest accrues per $$100$ of principal to the bond holder between July $7,2017$ and August $8,2017?$ How would your answer be different if it were a corporate bond? $.$ Problem $6\mathrm{.}2.$ It is January $9,2018.$ The price of a Treasury bond with a $6\%$ coupon that matures on October $12,2030,$ is quoted as $102-07.$ What is the cash price? $$ Problem $6\mathrm{.}3.$ How is the conversion factor of a bond calculated by the CME Group? How is it used? Problem $6\mathrm{.}4.$ A Eurodollar futures price changes from $96\mathrm{.}76$ to $96\mathrm{.}82.$ What is the gain or loss to an trader who is long two contracts? $$ Problem $6\mathrm{.}5.$ What is the purpose of the convexity adjustment made to Eurodollar futures rates? Why is the convexity adjustment necessary?