Final answer:
The loan rate for Castle Co.'s 20-year bond issuance is 5.05%, which includes the 3-month Treasury bill rate, the yield premium for 20-year Treasury bonds, and the additional premium for an A-rated corporate bond.
Step-by-step explanation:
To calculate the loan rate for Castle Co.'s 20-year bond issuance, we'll use the following information:
- The 3-month Treasury bill rate is 2.75%.
- The yield on 20-year Treasury bonds is 1.80% higher than the 3-month Treasury bill rate.
- Bonds with an A rating, such as Castle Co.'s, are selling for 50 basis points (0.50%) above the 20-year Treasury bond rate.
First, we find the yield on 20-year Treasury bonds by adding 1.80% to the 3-month Treasury bill rate:
2.75% + 1.80% = 4.55%
Next, we add the premium for Castle Co.'s A rating, which is 50 basis points above the 20-year Treasury bond rate:
4.55% + 0.50% = 5.05%
Therefore, the loan rate for Castle Co.'s bond issuance would be 5.05%.