Given the following fixed income portfolio, answer the questions below. Assume: $(1)$ the settlement date for all securities is December $7,2023.(2)$ we own the following portfolio and are worried the unemployment report $($due to be released December $8,2023)$ will cause interest rates to increase. $(3)$ we wish to hedge our portfolio by shorting the UST$-$notes with a coupon rate of $4\mathrm{.}500\%$ and a maturity of November $15,2028$ Further, assume the yield curve, at the time of the hedge, is flat at $4\mathrm{.}620\%$ YTM for all four of these securities$.($in other words, the YTM for all four securities is currently $4\mathrm{.}620\%)$ Portfolio: $$10,000,000$ par amount of UST$-$notes with coupon rate of $4\mathrm{.}000\%$ and maturity of November $15,2033,$ and $$10,000,000$ par amount of UST$-$notes with coupon rate of $4\mathrm{.}7500\%$ and maturity of November $15,2026,$ and $$10,000,000$ par amount of UST$-$notes with coupon rate of $4\mathrm{.}250\%$ and maturity of November $15,2030.$Questions: I. What par amount of the UST hedge security must we short to hedge the total portfolio? $($round to the nearest whole $million par amount$)$ II$.$ What is the current market price for the UST hedge security? III. What are the total proceeds resulting from the sale of the UST hedge security? $($round to the nearest whole dollar$)$