Table 6
Regressions of Changes in Absolute Nominal Yield Spreads of SCM Long-Term Corporate
Bond Indices on Changes in the Real Yield of the Constant Maturity Long-Term Government
of Canada Index and on Changes in the Monthly Inflation Rate
Table 6 reports the results of the AR-GARCH estimation of regression model (5). This regression
model is of the following form:
δs = β0 + β,'∖lnf + β2∖ YLT + ε,
where ∆S is the monthly change in the nominal yield spread, ∆Ylt is the monthly change in the real
yield on the constant maturity long-term Government of Canada index, ∆Inf is the monthly change
in the inflation rate. t-values are in parentheses, m gives the degree of the autoregressive process as
determined by the stepwise autoregression method, p and q are the GARCH(p,q) parameters, Norm.
Test gives the p-value for the normality test for detecting misspecification of the GARCH model,
and finally LM gives the p-value for the Lagrange multiplier test. Panel A reports the estimates for
the entire sample, covering the 08:1976-07:2001 25-year period. Data during this sample period are
dominated by corporate bonds carrying a standard call provision. Panel B outlines the results for the
01:1995-07:2001 sub-period, in which bonds carrying the doomsday call are expected to dominate
all indices.
Panel A: |
09:1976-07:2001 | ||||||||
Regression Coefficient_______ |
AR and GARCH Parameters | ||||||||
Index |
β 0 |
β1 |
β 2 |
m |
P |
q |
Norm. Test |
R2 |
LM |
AAA |
-0.0012 (-0.15) |
-0.2232 (-8.02) |
-0.1801 (-8.47) |
1,4 |
1 |
1 |
<0.0001 |
0.14 |
<.0001 |
AA |
-0.0036 (-0.8) |
-0.1542 (-6.74) |
-0.1350 (-9.03) |
1, 2, 4 |
1 |
1 |
<0.0001 |
0.16 |
<.0001 |
A |
-0.0049 (-0.82) |
-0.1527 (-5.99) |
-0.1204 (-7.11) |
1, 2 |
1 |
1 |
0.0003 |
0.14 |
<0.0001 |
BBB |
0.0018 |
-0.1822 (-3.22) |
-0.1454 (-3.83) |
- |
1 |
1 |
<0.0001 |
0.07 |
- |
Panel B: |
01:1995-07:2001 | ||||||||
Regression Coefficients |
______AR and GARCH Parameters______ |
Goodness of Fit | |||||||
Index |
β 0 |
β1 |
β 2 |
m |
P |
q |
Norm. Test |
R2 |
LM |
AAA |
N/A | ||||||||
AA |
-0.0079 (-0.5) |
-0.2082 (-2.33) |
-0.1778 (-2.62) |
- |
- |
- |
- |
0.08 |
- |
A |
-0.0021 (-0.14) |
-0.1916 (-2.27) |
-0.1629 (-2.53) |
- |
- |
- |
- |
0.08 |
- |
BBB |
-0.0045 (-0.19) |
0.1266 |
0.1143 |
- |
- |
- |
- |
0.16 |
- |
40
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