HMK Enterprises would like to raise $\backslash (\backslash$$ $10\mathrm{.}0\backslash )$ million to invest in capital expenditures. The company plans to issue five$-$year bonds with a face value of $\backslash (\backslash$$ $1,000\backslash )$ and a coupon rate of $\backslash (6\mathrm{.}59\backslash \%\backslash )($annual payments$).$ The following table summarizes the yield to maturity for five$-$year $($annual$-$payment$)$ coupon corporate bonds of various ratings:

a$.$ Assuming the bonds will be rated AA$,$ what will be the price of the bonds?

b$.$ How much of the total principal amount of these bonds must HMK issue to raise $\backslash (\backslash$$ $10\mathrm{.}0\backslash )$ million today, assuming the bonds are AA rated? $($Because HMK cannot issue a fraction of a bond, assume that all fractions are rounded to the nearest whole number.$)$

c$.$ What must be the rating of the bonds for them to sell at par?

d$.$ Suppose that when the bonds are issued, the price of each bond is $\backslash (\backslash$$ $961\mathrm{.}60\backslash ).$ What is the likely rating of the bonds? Are they junk bonds?

pls helppp!

Data table