A Pure Test for the Elasticity of Yield Spreads



Table A.1

Regressions of Changes in Absolute Yield Spreads of SCM Long-Term
Corporate Bond Indices on 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.1 reports the results of the AR-GARCH estimation of regression model (1) in
which the dependent variable is the monthly change in the absolute yield spread. This
regression model is of the following form:

5, = a + b ∆ Y + cI + ε,                               .

where ∆.S' is the monthly change in the absolute yield spread, Y is the monthly:
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_

ɪ

Norm. Test

R2

LM

AAA

0.0007
(0.12)

-0.0563

(-3.27)

-0.0302

(-0.20)

1, 2

1

1

<0.0001

0.19

0.0004

AA

0.0006
(0.12)

-0.1428

(-9.67)

-0.4287

(-4.02)

1, 2, 4

1

1

<0.0001

0.18

0.0006

A

0.0003
(0.05)

-0.1346

(-8.88)

-0.5162

(-4.26)

1, 2

1

1

<0.0001

0.19

<0.0001

BBB

0.0098
(0.81)

-0.1641

(-4.37)

-1.2119

(-3.76)

1, 2

-

-

-

0.12

-

Panel B

: 01:1995-07:2001__________

Regression Coefficients

AR and GARCH Parameters

Goodness of Fit

Index

a

b

c______

m

_p_

ɪ

Norm. Test

R2

LM

AAA

N/A

AA

-0.0041

(-0.27)

-0.2106

(-3.12)

-0.6623

(-2.26)

-

-

-

-

0.14

-

A

0.0015
(0.10)

-0.1927

(-3.02)

-0.6160

(-2.22)

-

-

-

-

0.13

-

BBB

0.0026
(0.09)

0.0578
(0.58)

-1.3416

(-3.26)

3

-

-

-

0.17

-

44



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