A firm with an A rating plans to issue one million units of a 10 year-4% bond with face value $100. After the financial crisis this firm is downgraded to a B rating. The yield curve increases 0.2% per year. The yield for year 1 is y1=1%, for year 2 is y2=1.2%, y3=1.4% and so on and y10=2.8%. The default spreads are given in the table below.

(a) What is the initial amount (before downgrading) the firm wants to raise?

(b) How much can this now B rated firm raise?

(c) If the firm wants to raise the planned amount, how many more bonds does it issue?

Rating A+ BB BB B+ CC Default spread 0.20% 0.40% 0.60% 0.80% 1.00% 1.50% 2.00% 2.50% 3.25% 4.00% 6.00% 8.00% 10.00% 12.00% 20.00%