please answer a, b, c, d

HMK Enterprises would like to raise $13 million to invest in capital expenditures. The company plans to issue 5 year binds with a face value of $1,000 and a coupon rate if 7.8% (annual payments). The following table summarizes the yield to maturity for five year (annual pay) coupon corporate honds of various ratings.

Rating: AAA = 7.5 YTM (%), AA = 7.7%, A = 7.8%, BBB =8.3%, BB = 8.9%

a). assuming the bonds will be rated AA, what will the price of the AA-rated bonds be?

b). how much total principle amount of these bonds must HMK issue to raise $13 million today, assuming the bonds are AA rated? (because HMK cannot issue a fraction of a bond, assume all fractions are rounded to the nearest whole number)

c). what must the rating of the bonds be for them to sell at par?

d). suppose that when the bonds are issued, the price of each bond is $957.10. What is the likely rating of the bonds? are they junk bonds?

*assume annual compounding*

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