What does the Treasury yield spread imply about default probabilities?
Core argument: US Treasury yields exceed the rates on fully secured synthetic bonds built from market instruments, with the spread widening by maturity to 0.84% at 30 years.
Table 2 shows normal US Treasury bond yields to the right of secured, extra-safe yields for synthetic bonds we’ve put together from market instruments so that these bonds are fully secured and even safer than normal Treasury bonds. [The swap rates underlying the table are from this link.] Notice that Treasury bonds have higher yields than the rates for secured, extra-safe bonds, and that the spread gets higher with maturity, reaching 0.84% at 30 years. One way to interpret these rates is to see the higher yields as representing some combination of expected loss from a default on US Treasury obligations, and a risk premium for bearing that risk of loss. Assuming that a default would result in a 50% hit to promised payments, and assuming that three-quarters of the spread represents an expectation of default and the other quarter is a risk premium, we calculate the cumulative probability of default to 10-year and 30-year horizons at about 10% and 50%, respectively. To the extent one sees prices of US Treasury bonds through the lens of credit risk, the message being sent by long-term Treasury yields being close to 1% higher than corresponding interest rate swaps is a very sobering one.




