A Pure Test for the Elasticity of Yield Spreads



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
(0.28)

-0.1510

(-8.52)

-0.0193

(-1.53)

1, 2

1

1

0.0005

0.24

0.0003

AA

0.0004
(0.90)

-0.1541

(-7.89)

-0.0589

(-4.62)

1, 2

1

1

<0.0001

0.21

0.0057

A

0.0002
(0.29)

-0.2169

(-12.98 )

-0.0561

(-3.91)

1, 2

1

1

<0.0001

0.26

0.0037

BBB

0.0013
(0.66)

-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
(0.25)

-0.3502

(-4.83)

-0.1214

(-2.65)

-

-

-

-

0.25

-

BBB

0.0012
(0.24)

-0.2404

(-2.07)

-0.2398

(-3.49)

3

-

-

-

0.20

-

45



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