Table A.2
Regressions of Changes in Relative Yield Spreads of SCM Long-Term Corporate
Bond Indices on Percentage Changes in the Yield of the Constant Maturity Long-
Term Government of Canada Index and the Return on the Toronto Stock
Exchange 300 Index - AR-GARCH Estimation
Table A.2 reports the results of the AR-GARCH estimation of regression model (2) in
which the dependent variable is the monthly change in the relative yield spread. This
regression model is of the following form:
∆R = a + b ∆P Y + cI + ε,
where ∆R is the monthly change in the relative yield spread, ∆PY is the monthly
percentage change in the yield of the constant maturity, long-term Government of
Canada index, and I is the monthly return on the Toronto Stock Exchange 300 index.
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 |
a |
b |
c______ |
m |
P |
_±_ |
Norm. Test |
R2 |
LM |
AAA |
0.0002 |
-0.1510 (-8.52) |
-0.0193 (-1.53) |
1, 2 |
1 |
1 |
0.0005 |
0.24 |
0.0003 |
AA |
0.0004 |
-0.1541 (-7.89) |
-0.0589 (-4.62) |
1, 2 |
1 |
1 |
<0.0001 |
0.21 |
0.0057 |
A |
0.0002 |
-0.2169 (-12.98 ) |
-0.0561 (-3.91) |
1, 2 |
1 |
1 |
<0.0001 |
0.26 |
0.0037 |
BBB |
0.0013 |
-0.3778 (-6.84) |
-0.1247 (-2.98) |
- |
- |
- |
- |
0.14 |
- |
Panel B |
: 01:1995-07:2001__________ | ||||||||
Regression Coefficients |
AR and GARCH Parameters |
Goodness of Fit | |||||||
Index |
a |
b |
c______ |
m |
P |
_q_ |
Norm. Test |
R2 |
LM |
AAA |
N/A |
AA |
-0.0002 (-0.08) |
-0.3294 (-4.42) |
-0.1266 (-2.69) |
- |
- |
- |
- |
0.23 |
- |
A |
0.0006 |
-0.3502 (-4.83) |
-0.1214 (-2.65) |
- |
- |
- |
- |
0.25 |
- |
BBB |
0.0012 |
-0.2404 (-2.07) |
-0.2398 (-3.49) |
3 |
- |
- |
- |
0.20 |
- |
45