Mary Brickland, CFA, is analyzing two different domestic bonds. Bond A has the longer modified duration at 9.50 with a yield of 9.12 percent. Bond B has a modified duration of 7.30 and a yield of 7.80 percent. Brickland has an investment-holding period of one year and expects a favorable credit quality change for Bond B to increase its market value during this time frame. If Brickland buys Bond B, what is the required basis point change in the spread (in terms of the required yield on Bond B) to offset Bond As yield advantage? A) | 13.89474 bp due to a decline in the yield. |
| B) | 14.72190 bp due to an increase in the yield. |
| C) | 17.11543 bp due to an increase in the yield. |
| D) | 18.08219 bp due to a decline in the yield. |
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Answer and Explanation
Bond A has a yield advantage of 132 basis points relative to Bond B. An increase in Bond Bs credit rating will lower its required yield, which will increase its market value. Since we are looking at this in terms of Bond B: (-1.32/-7.30) x 100 = +18.08219bp, implying that the spread must increase by 18.08219 basis points. Hence, in terms of the yield on Bond B, the breakeven change in yield is 18.08219bp, or a decline in the yield on Bond B (thus resulting in the widening of the spread between A and B by this amount). This change will result in capital gains for Bond B, which will offset As original yield advantage.
Bond A has a yield advantage of 132 basis points relative to Bond B. An increase in Bond Bs credit rating will lower its required yield, which will increase its market value. Since we are looking at this in terms of Bond B: (-1.32/-7.30) x 100 = +18.08219bp, implying that the spread must increase by 18.08219 basis points. Hence, in terms of the yield on Bond B, the breakeven change in yield is 18.08219bp, or a decline in the yield on Bond B (thus resulting in the widening of the spread between A and B by this amount). This change will result in capital gains for Bond B, which will offset As original yield advantage. |