Table 4
Regressions of Changes in Absolute Yield Spreads of SCM Long-Term
Corporate Bond Indices on Changes in Government of Canada Yields -
AR-GARCH Estimation
Table 4 reports the results of the AR-GARCH estimation of regression model (3) in
which the dependent variable is the monthly change in the absolute yield spread. This
regression model is of the following form:
∖S' = β0 + β δ YT-bill + β2∖sloPe + ε,
where ∆S is the monthly change in the absolute yield spread, ∆Yτ-buι is the monthly
change in the three-month Treasury Bill yield, and ∆Slope is the monthly change in the
spread between the constant maturity long-term Government of Canada index and the
three-month Treasury bill yield. 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 Coefficients |
AR and GARCH Parameters_______________ | ||||||||
Index |
β 0 |
β1 |
β 2 |
m |
P |
q |
Norm. Test |
R2 |
LM |
AAA |
-0.0027 (-0.51) |
-0.0442 (-2.51) |
-0.0806 (-4.25) |
1, 2, 4 |
1 |
1 |
<0.0001 |
0.19 |
<0.0001 |
AA |
-0.0074 (-1.82) |
-0.1231 (-8.72) |
-0.1893 (-12.56) |
1, 2, 4 |
1 |
1 |
0.0005 |
0.18 |
<0.0001 |
A |
-0.0063 (-1.13) |
-0.1011 (-6.22) |
-0.1514 (-8.16) |
1, 2 |
1 |
1 |
0.0001 |
0.16 |
<0.0001 |
BBB |
0.0025 |
-0.1244 (-3.26) |
-0.1996 (-4.72) |
- |
1 |
1 |
<0.0001 |
0.09 |
- |
Panel B |
: 01:1995-07:2001__________ | ||||||||
Regression Coefficients |
AR and GARCH Parameters |
Goodness of Fit | |||||||
Index |
β 0 |
β1 |
β β2 |
m |
P |
q |
Norm. Test |
R2 |
LM |
AAA |
N/A | ||||||||
AA |
-0.0076 (-0.48) |
-0.1732 (-2.34) |
-0.1751 (-2.44) |
- |
- |
- |
- |
0.08 |
- |
A |
-0.0016 (-0.11) |
-0.1519 (-2.17) |
-0.1645 (-2.42) |
- |
- |
- |
- |
0.08 |
- |
BBB |
-0.0037 (-0.15) |
0.1361 (1.21) |
0.0947 |
- |
- |
- |
- |
0.02 |
- |
38
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