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8/6/2019 Livingston - Moody's and S&P Ratings
1/43Electronic copy available at: http://ssrn.com/abstract=1567665
Moody's and S&P Ratings: Are They Equivalent?
Conservative Ratings and Split Rated Bond Yields
Miles LivingstonUniversity of Florida and Erasmus University
P.O. Box 117168Gainesville, FL 32611-7168
Phone: (352) 392-4316Fax: (352) 392-0301
Jie (Diana) Wei*Office of the Comptroller of the Currency
Washington, DC 20219Phone: (202)874-6532Fax: (202) 874-5394
Lei Zhou
Northern Illinois UniversityCollege of Business
Department of FinanceDeKalb, IL 60115-2897Phone: (815) 753-7882Fax: (815) 753-0504
February, 2010
* The views expressed here are those of the individual authors alone and do not necessarily reflect those of theOffice of the Comptroller of the Currency or the Department of the Treasury.
8/6/2019 Livingston - Moody's and S&P Ratings
2/43Electronic copy available at: http://ssrn.com/abstract=1567665
Moody's and S&P Ratings: Are They Equivalent?
Conservative Ratings and Split Rated Bond Yields
Abstract
We examine the relative impact of Moodys and S&P ratings on bond yields and find that atissuance yields on split rated bonds with superior Moodys ratings are, on average, 8 basis pointslower than yields on split rated bonds with superior S&P ratings. This pattern suggests thatinvestors differentiate between the two ratings and assign more weight to the ratings fromMoodys, the more conservative rating agency. Moody's ratings become relatively moreconservative after 1998 and the impact of a superior Moody's rating upon split rated bond yieldsis stronger. In addition, the differential impact of the two ratings on split rated bond yields ismore pronounced for Rule 144A issues, which are more opaque.
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Moody's and S&P Ratings: Are They Equivalent?
Conservative Ratings and Split Rated Bond Yields
I. IntroductionMost publicly issued corporate bonds in the US receive ratings from two major rating
agencies, Moodys and Standard & Poors (S&P). About 50% of the time, the Moody's and the
S&P ratings are different at the notch level, resulting in so-called split ratings, with Moody's
more likely to have the conservative (lower) rating (Morgan, 2002, Van Roy, 2005).1
We show
that about 56% of split rated bonds have conservative Moodys ratings and investors differentiate
between these two ratings, especially during the period 1998-2008. When Moody's has the
superior (higher) rating, bond yields are approximately 8 basis points lower than when S&P has
the superior rating. Thus investors appear to hold Moodys reputation in higher regard than
S&Ps.
Split ratings and the differential impact of Moody's versus S&P are important for two
reasons. First, while virtually all public issues of bonds receive ratings from both rating agencies,
financial regulators generally do not differentiate between these ratings.2 Most rating-based
regulations require only one rating without specifying a particular rating agency (Cantor and
Packer, 1995, BIS, 2000). If the bond issue has multiple ratings, then either the highest or the
second highest rating is usually used regardless of which rating agency assigns the highest or
second highest rating (Cantor and Packer, 1995).3
In addition, under the Basel II framework,
1 See also Ederington (1986), Pottier and Sommer (1999), and Livingston et al. (2007).2 For a rating to be acceptable to regulators, the rating agency must be designated by the SEC as a nationallyrecognized statistical rating organization, or NRSRO. Moodys and S&P are both NRSROs.3 A notable exception to this general rule is that of the National Association of Insurance Commissioners (NAIC).In the case of split ratings, the NAIC can choose either the superior or inferior rating based on its own analysis(Cantor and Packer, 1996).
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banks can choose to use either one or more rating agencies to risk-weight their credit exposures.
If a bank chooses to use one rating agency, it makes no difference whether it is Moodys or S&P.
If two rating agencies are used, the inferior of the two ratings determines the risk weights,
regardless of which agency assigns the inferior rating (Van Roy, 2005).
Second, many academic studies treat these ratings as interchangeable in spite of the fact
that Moody's and S&P ratings frequently disagree. Some studies use Moodys ratings as a proxy
for default risk (for example, Kidwell et al., 1984) while others use S&P ratings (for example,
Avramov et al., 2007). A few studies take advantage of both Moodys and S&P ratings, but use
the average of the two when they differ without regard to which rating is superior (for example,
Fenn, 2000). Another common practice is to use the Moodys (S&P) rating when it is available
and supplement with the S&P (Moodys) rating when the Moodys (S&P) rating is not available,
implicitly assuming that these two ratings are equivalent and interchangeable (for example, Yu,
2005, Butler, 2008).
This study uses a sample of 6,652 newly issued, split rated, non-financial US corporate
bonds from 1983 to 2008 to examine the relative impact of the two ratings on bond yields. By
focusing on split rated bonds, our analysis highlights the differences between Moody's and S&P
ratings. First, we confirm findings in earlier studies that Moodys is more likely to give a
conservative (or inferior) rating than S&P when these two differ. Second, when Moody's has the
superior rating, investors require lower yields, about 8 basis points on average, for split rated
bonds.4 Bond investors appear to differentiate between these two ratings and assign greater
4 The 8 basis points yield difference is statistically significant. While the sample size is very large, the statisticalsignificance is not just driven by the sample size. In a subsample of 1,291 Rule 144A bond issue, the yielddifference is also significant at the 1% level. In addition, we estimate the yield difference for each of the 33 splitrating categories. The yield differences are significant at the 1% or 5% level in 10 categories. The sample size forthese rating categories ranges from 26 to 643, indicating that the statistical significance is not a result of largesample size.
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weight to the ratings from the more conservative agency. In addition, the differential impact of
the two ratings on bond yields is more pronounced for Rule 144A bond issues. As Rule 144A
issues are not registered with the SEC and have lower standards for disclosure, information about
them tends to be more opaque. Bond investors appear to be particularly concerned about the
information opaqueness of Rule 144A bond issues and therefore rely more heavily on the ratings
from the conservative rating agency in their assessment of default risk. Third, Moodys ratings
are relatively comparable to S&P ratings prior to 1998, but become more conservative than S&P
thereafter. Accordingly, the yield difference between bonds with a superior Moodys rating and
bonds with a superior S&P rating is minimal prior to 1998, but significantly larger (about 13
basis points) between 1998 and 2008.5 This evidence suggests that bond investors, mostly
institutional investors, are sufficiently sophisticated to detect evolving differences between the
two major rating agencies and act accordingly.
Furthermore, we also compare the yields for the sample of 6,652 split rated bonds to the
yields for a sample of 7,201 non-split rated bonds. Livingston and Zhou (2010) find that split
rated bonds average a 7-basis-point yield premium over non-split rated bonds of similar credit
risk and they attribute this yield premium to information opacity of split rated bonds. However,
they do not distinguish between splits with superior Moodys ratings and splits with superior
S&P ratings. We find that the yield premium is different in these two cases. When Moodys
(S&P) assigns the superior rating, the yield premium is much smaller (larger).
The main findings of the paper are summarized in Figure 1, which illustrates the yield
premiums assigned to split rated bonds over non-split rated bonds. When no distinction is made
5 Blume et al. (1998) find that S&P tightens rating standards and its ratings become more stringent from 1978 to1995. However, the study does not compare S&P ratings with Moodys ratings. Furthermore, the Blume et al.study covers a time period from 1978 to 1995, while we find Moodys becomes more conservative (relative to S&P)after 1998. Thus, our findings do not contradict those of Blume et al. (1998).
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between splits with superior Moody's ratings and splits with superior S&P ratings, split rated
bond issues have an average yield premium of approximately 6.5 basis points above the average
of yields for non-split superior rated and non-split inferior rated bonds, similar to findings in
Livingston and Zhou (2010). When Moody's has the superior rating, the yield premium is only 2
basis points. Conversely, the yield premium is 10 basis points if S&P has the superior rating.
The difference in the yield premium, 8 basis points, indicates that yields on split rated bonds with
superior Moodys ratings are, on average, 8 basis points lower than those with superior S&P
ratings.
In order to put the 8-basis-point yield spread difference into perspective, we estimate that
the average yield spread difference between two adjacent notch rating categories is about 30
basis points. Thus, a yield difference of 8 basis points is approximately equivalent to a
difference of one fourth of a notch rating. Furthermore, for a typical split rated bond in our
sample, the 8-basis-point difference in yield spread translates to a difference of $1.42 million in
price.6
This study has two important implications. First, it calls into question the common
practice by financial regulators and by academic studies to treat the two major ratings equally.
While we do not advocate using one rating agency versus the other, regulators should
continuously monitor the performance of each rating agency. Although regulatory agencies in
many countries set criteria for eligible credit rating agencies for regulatory purposes, only three
countries (France, Italy and Japan) have ongoing monitoring of the recognized rating agencies
(BIS, 2000). In the US, once a rating agency is recognized as an NRSRO by the SEC, there is no
monitoring of the performance of the rating agency and no formal mechanism to strip its
6 For the 1998-2008 subsample period, the yield spread difference is about 13 basis points, equivalent to a differenceof half a notch rating or $2.3 million in price difference for a typical split rated bond.
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NRSRO status. To increase the competition in the rating industry, the SEC has significantly
increased the number of NRSROs from three in 1975 to currently ten.7
The papers findings on
the evolving relative conservativeness of different rating agencies suggest that rating agencies
may not consistently maintain the quality of their ratings. Conceivably, some rating agencies
might, after being designated as an NRSRO, sell their SEC-sanctioned ratings to maximize
current profits. Thus, the SEC should not only be the gate-keeper of the NRSRO status, but
should also be the rater of the raters.
Second, the findings in this paper suggest that bond investors are quite sophisticated and
differentiate between the two major rating agencies. Our findings also highlight the importance
for rating agencies to protect their reputational capital. If one rating agency consistently
becomes more lenient (conservative) over time, bond investors will gradually adapt to such
changes by putting less (more) weight on that agencys rating in their assessment of default risk.
This finding supports the argument that rating agencies have strong incentives to issue honest
and accurate ratings to protect their reputation capital (Smith and Walter, 2002, Covitz and
Harrison, 2004). Such concerns for reputation capital can offset or mitigate the potential
conflicts of interest when rating agencies are paid by issuing firms.
The remainder of the paper is organized as follows. Section II summarizes the previous
literature, and Section III describes the data and provides summary statistics. Section IV
analyzes the differential impacts of Moody's and S&P ratings upon yields of split rated bonds.
Section V compares yields of split rated and non-split rated bonds. Section VI concludes the
paper.
7 The SEC website lists the ten NRSROs (http://www.sec.gov/answers/nrsro.htm).
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II. Background and Literature ReviewGiven the dominance of the two major rating agencies, several studies compare Moodys
and S&P ratings. Ederington (1986) examines determinants of the two ratings for US corporate
bonds from 1975 to 1980. His study finds that the two rating agencies use a common set of
factors such as firm size and leverage ratio to estimate credit risk, and they assign similar
weights to these factors. In addition, there is no systematic difference in the rating scales used
by the two major rating agencies. Thus, Ederingtons (1986) findings suggest that the two
ratings are basically equivalent, implying that differences in the two ratings are merely random
errors. According to Ederington, the respective positions of the two agencies could easily have
been reversed; i.e., on another day or with a slightly different set of analysts, either agency might
assign a different rating. We call this view the rating equivalence hypothesis.
An implication of the rating equivalence hypothesis is that yields on split rated bonds
should be the same regardless of which rating agency assigns a superior rating. In other words, a
bond rated A+ by Moodys and A by S&P should have the same yield as another bond rated A
by Moodys and A+ by S&P.
Other studies, however, suggest that there are systematic differences between the two
rating agencies. Moon and Stotsky (1993) find that the two rating agencies use different
economic variables to determine ratings on municipal bonds. In addition, they find that the
rating scales of the two agencies differ systematically.8 Similarly, in a study of financial strength
ratings of property liability insurance companies by A.M. Best, Moodys and S&P, Pottier and
Sommers (1999) find that the three rating agencies use different factors in modeling an insurers
8 Note that these results should be treated with caution. Moon and Stotsky (1993) use outstanding municipal bondsin their study. Observed split ratings for outstanding bond issues might be caused by asynchronous changes inratings over time rather than by systematic difference between the two rating agencies.
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financial strength, suggesting that different ratings convey different information and may not be
equivalent.
In addition to the empirical comparison of the two rating agencies, a survey study by
Baker and Mansi (2002) investigates the attitude of issuing firms and investors toward the rating
agencies. The study reports that issuing firms believe S&P ratings are more accurate than
Moodys, while investors do not see a difference. This finding is not a surprise since S&P tends
to assign superior ratings compared to Moodys. On the other hand, investors believe that
corporate bond prices more closely follow Moodys rating than S&P rating.9 This study
suggests that both investors and issuing firms perceive these two ratings differently. Consistent
with Baker and Mansis (2002) survey results, Gttler and Wahrenburg (2007) find that Moodys
updates its ratings to reflect changing default risk in a timelier manner than S&P.
Recent studies on split ratings also indicate that there might be systematic differences
between the two rating agencies. Morgan (2002) suggests that split ratings are caused by asset
opacity of issuing firms. He further argues that split ratings are likely to be lopsided; that is, one
rating agency will be more likely to assign a superior rating than the other, if asset opacity is the
cause of the split rating. On the other hand, split ratings should be symmetric if split ratings are
merely random errors. Morgan's idea is that the two rating agencies may not worry equally
about over-rating. When severe asset opacity problems exist, the more conservative rating
agency (or the agency that worries more about over-rating than under-rating) tends to assign an
inferior rating. Indeed, Morgan (2002) finds that Moodys ratings for banking firms are more
likely to be inferior compared to S&P ratings when the two differ. Livingston et al. (2007) and
Pottier and Sommers (1999) report similar patterns for corporate bond ratings and financial
9 The survey asks the following question: How would you rank the following rating agencies in terms of howclosely their ratings of corporate bonds compare to where these bonds actually trade? It only asks investors thisquestion.
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strength ratings of insurance companies respectively. These findings suggest that Moodys is
more conservative and less likely to over-rate a bond issue. An empirical study of rating
accuracy by Gttler (2005) supports this view. The study finds that Moodys ratings are slightly
better at predicting default than S&P ratings. We call this view the systematic difference
hypothesis.10
An implication of the systematic difference hypothesis is that split rated bonds with
superior ratings from the more conservative rating agency should have lower yields if bond
investors differentiate between these two ratings. Thus, in examining the yields on split rated
bonds, we perform a joint test that 1) there is a systematic difference between the Moodys and
S&P ratings, and 2) bond investors differentiate between these two ratings.
This study is also linked to another line of research on the impact of split ratings on bond
yields. Some studies find that inferior ratings determine yields on split rated bonds (Billingsley
et al., 1985, Liu and Moore, 1987, Perry et al., 1988); others find that the superior ratings set
bond yields (Hsueh and Kidwell, 1988, Reiter and Ziebart, 1991). None of the studies, however,
distinguish split rated bonds with superior Moodys ratings from those with superior S&P
ratings. More recent studies find that both the superior and inferior ratings have an impact on
yields (Cantor et al., 1997, Jewell and Livingston, 1998). In addition, Livingston and Zhou
(2010) find that split rated bondsaverage a 7-basis-point yield premium over non-split rated
bonds of similar credit risk. Again, these studies do not test whether a superior rating from one
particular rating agency has a different impact on yields than a superior rating from another
rating agency.
10 Note that the systematic difference between the two rating agencies might be caused by 1) different rating scales,2) different weights assigned to risk factors, 3) relative costs of over-rating vs. under-rating. Regardless of theunderlying cause, systematic difference hypothesis suggests that one rating agency will be more conservative, thatis, more likely to assign inferior ratings than the other.
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III. Data Collection and DescriptionWe collect data on fixed rated, US domestic, non-financial public and Rule 144A
corporate bond issues from the Thomson Financial SDC database. We use the data on original
bond issues for two reasons. First, bond ratings on new issues reflect the most up-to-date
information about the issuers.11 Second, split ratings on existing bond issues can be caused by
asynchronous changes in ratings by the two rating agencies in response to changes in underlying
default risk.12 Thus, split ratings on outstanding bonds may merely be the result of slow
updating by one agency instead of a systematic difference between the two ratings.
The sample period covers 1983 to 2008. We start in 1983 because Moodys began
issuing notch ratings after April 1982, in addition to letter ratings.13 Perpetual bonds, bonds
with credit enhancements, and putable bonds are excluded. We also exclude several issues that
are rated CCC- by at least one rating agency.14 The final sample consists of 13,853 bond issues
comprising 7,201 non-split rated issues and 6,652 split rated issues. All split rated bonds in the
sample have Moodys and S&P ratings that differ by one or two notches.15
Table 1 describes the sample. Non-split rated bonds have average maturity similar to
split rated bonds but slightly smaller issue size.16 The non-split rated sample has an average
original yield to maturity (YTM) of 7.86%, slightly lower than that of the split rated sample. To
make yields comparable between bonds of different maturities, we subtract the yield for Treasury
11
Some research has found that rating agencies tend to lag financial markets in reflecting new information(Holthausen and Leftwich, 1986, Ederington and Goh, 1998).12 Gttler and Wahrenburg (2007) document a lead-lag relation between the ratings of Moodys and S&P.13 S&P started to issue notch ratings in 1974 (Cantor and Packer, 1995).14 We exclude these issues as a data quality filter. It is highly unlikely that firms with a CCC- rating are able toaccess the public bond market. Inclusion of these issues in our sample does not, however, change our results.15 We exclude issues with three or more notches of split ratings because there are very few observations in each ofthese distinct rating combination categories.16 Investment grade bonds have an average maturity of 13.9 years while below-investment grade bonds have anaverage maturity of 9.4 years. This suggests that high quality firms are more likely to issue longer term bonds.
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securities of similar maturity from the yield to maturity of each bond to calculate the Treasury
Spread. The average Treasury Spread is slightly lower for the non-split rated sample, but there is
no difference between the superior S&P rating subsample and the superior Moodys rating
subsample.
To summarize the credit quality of the sample, we create two numerical rating variables:
Moodys Rating and S&P Rating. Both variables range from 1 (for CCC) to 18 (for AAA). The
Average Rating is the average of Moodys and S&P Ratings. The Average Rating for non-split
rated bonds is 10.33, slightly above BBB, higher than the Average Rating for split rated bonds.
This is consistent with findings in Livingston et al. (2007). The split rated sample has an average
Moodys Rating of 9.87, lower than the average S&P Rating of 10.01, meaning that Moody's
gives an inferior (lower) average rating.
For each bond issue, we also calculate the Rating Difference, or Moodys Rating minus
S&P Rating. The average Rating Difference of the split rated sample is -0.14, statistically
significant at the 1% level. In other words, Moodys Rating is, on average, 0.14 notches below
the S&P Rating when the two ratings differ. In addition, 55.5% of the split rated issues in our
sample (3,691) have superior S&P ratings and 44.5% of the issues (2,961) have superior
Moodys ratings. These findings suggest that Moodys is more conservative than S&P,
consistent with Morgan (2002) and Livingston et al. (2007).
IV. Empirical Analysis of Split Rating Sample
In this section, we examine the yields on split rated bond issues. Specifically, we
compare yields on split rated bonds with superior Moodys ratings to the yields on split rated
bonds with superior S&P ratings.
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1. Univariate Analysis
The summary statistics suggest that Moodys is, on average, more likely to assign a more
conservative rating than S&P. This section examines whether this pattern holds true for bonds of
different credit quality. First, we create 33 distinct rating categories, ranging from AAA/AA+ to
CCC+/CCC, based on the combination of the two ratings.17 For each rating category, we
distinguish between those with superior Moodys ratings and those with superior S&P ratings.
Figure 2 depicts the number of split rated bonds with superior Moodys ratings and the number
of splits with superior S&P ratings in each rating category. In 25 out of the 33 rating categories,
there are more issues with superior S&P ratings than issues with superior Moodys ratings.
Interestingly, for the 8 rating categories with more issues of superior Moodys ratings, 5 are
below-investment grade, consistent with our earlier finding that the Average Rating for issues
with superior Moodys ratings is slightly lower. This pattern might be explained by the fact that
the Moodys rating incorporates both the probability of default and the expected recovery rate,
while the S&P rating is strictly a measure of default risk (BIS, 2000). This difference has little
impact on investment grade bonds, but might create systematic differences between the two
ratings for below-investment grade bonds.
Figure 2 and the summary statistics confirm the findings in previous studies that Moodys
is more likely to give conservative ratings than S&P when these two differ. The next logical
question is whether this conservative tendency in Moodys rating is recognized by bond
investors and reflected in lower bond yields. Table 2 reports the average treasury spread for each
rating category of the split rated sample, as well as two sub-samples: those with superior
Moodys ratings and those with superior S&P ratings. In 20 out of the 33 rating categories, the
17 Moodys and S&P use slightly different rating notation but they are generally thought to be equivalent. Forexample, S&Ps BBB+ corresponds to Moodys Baa1. Following other studies, we use the S&P rating notation inthis paper.
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superior Moodys rating sub-samples have lower treasury spreads than the superior S&P rating
sub-samples, and the differences are significant in 9 rating categories. For example, in the A+/A
split rating category, bonds with superior S&P ratings (S&P rated A+, Moodys rated A) average
a treasury spread of 94.14 basis points, while bonds with superior Moodys ratings (S&P rated A,
Moodys rated A+) average a treasury spread of 82.78 basis points, an 11-basis-point difference
with high statistical significance. Only in three rating categories do superior Moodys rating sub-
samples have significantly higher treasury spreads. These findings indicate that bond investors
differentiate between these two bond rating agencies and require lower yields when Moodys
assigns a superior rating.
2. Multivariate Analysis
This section examines yields on split rated bonds using multivariate regressions. The
dependent variable is the Treasury Spread (that is, the yield to maturity minus Treasury yield).
The explanatory variables include rating dummy variables and control variables. The test
variable is a dummy variable, SUPMOODY, set equal to one for issues with a superior Moodys
rating and zero otherwise. Thus, the base case is split rated bonds with a superior S&P rating. If
bond investors require lower yields for issues with a superior Moodys rating, the coefficient on
SUPMOODY should be significantly negative.
a. Control Variables
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Previous studies have shown that many factors other than default risk can have an impact
on treasury spreads.18
Thus, three sets of control variables are included in addition to the bond
ratings: controls for different bond features, controls for registration types, and controls for
market conditions.
To control for differences in bond features, we include the MATURITY, PROCEEDS,
SENIOR dummy, CALL dummy, and UTILITY dummy variables in the regression models.
MATURITY is the natural log of years to maturity. Previous studies find that yield spreads vary
with bond maturity (for example, Kidwell et al., 1984, Chaplinsky and Ramchand, 2004).19
PROCEEDS is the total dollar proceeds of the bond issue. Large issues of bonds are usually
more liquid than small issues and consequently investors may require lower rates of return for
large issues of bonds. Hence, we expect the coefficient for PROCEEDS to be negative. A
SENIOR dummy is set equal to one if the issue is senior debt, and zero otherwise. Since senior
debt is less risky than subordinated debt, the coefficient for the SENIOR dummy is anticipated to
be negative. The CALL dummy variable is set equal to one if the bond is callable and zero
otherwise. We expect the coefficient for this variable to be positive because callable bonds are
riskier for investors. The UTILITY dummy equals one if the issuer is a utility firm and zero
otherwise.
We also include SHELF dummy and R144A dummy variables to control for different
methods of bond registration. SHELF equals one for shelf registered issues and zero otherwise.
R144A equals one for Rule 144A issues and zero otherwise. Kidwell et al. (1984, 1987) show
that shelf-registered bonds have lower yields. Thus, we expect the coefficient for the SHELF
18 For example, Houweling et al. (2005) finds a liquidity premium on corporate bonds. Fenn (2000) shows that issuesize and maturity have an impact on bond yield. Kidwell et al. (1984, 1987) document lower yields for shelf-registered bond issues.19 As a robustness check, we also run the regression models without the MATURITY variable. The results do notchange materially. Different specifications of the variable do not affect the results either.
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dummy to be negative. Studies on Rule 144A issues find higher yields on Rule 144A issues than
non-Rule 144A issues (see Livingston and Zhou, 2002, Chaplinsky and Ramchand, 2004). Thus,
we include this dummy as a control variable.
Finally, since the bond default risk premium fluctuates with overall market conditions, a
RISKPREM variable is included in the regression to control for changes in the market default
risk premium. The RISKPREM is defined as the difference between the Moodys AAA
Corporate Bond Index Yields (obtained from the Federal Reserve website) and yields for 10-year
Treasury securities. The coefficient for this variable is expected to be positive. Other variables
to control for market conditions are a series of zero/one year dummy variables with 2008 as the
base case.
b. Main Regression ResultsIn Table 3, Model 1 uses the sample of split rated bonds to study whether splits with a
superior Moodys rating have a lower treasury spread than splits with a superior S&P rating. The
coefficient on SUPMOODY is -8.38 and significant, indicating that yields on bonds with a
superior Moodys rating average about 8 basis points lower than yields on bonds with a superior
S&P rating.20 The coefficients on most control variables have the expected signs with the
exception of the SENIOR dummy variable.21
In Model 2, we distinguish one-notch splits and two-notch splits by creating two test
dummy variables: SUPMOODY1 and SUPMOODY2. SUPMOODY1 (SUPMOODY2) equals
one for one-notch (two-notch) split rated bonds that have a superior Moodys rating and zero
20 Multiple bond issues by the same issuing firm may create a clustering problem (Wooldridge, 2002, 2003). Weuse the Cluster option in STATA to adjust for the potential clustering problem and report the cluster-robust p-values.21 The significantly positive coefficient for the SENIOR dummy variable indicates that senior bonds have higheryields, a counter intuitive result that may be caused by a tendency for rating firms to give senior bonds unjustifiedhigher ratings (John et al., 2010). Fridson and Garman (1997) and Fenn (2000) have similar findings.
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otherwise.22 Livingston and Zhou (2010) find that multiple-notch split ratings are stronger
signals of information opacity and bond investors require higher yield premiums on multiple
splits than on one-notch splits. With greater information opacity and uncertainty, bond investors
are likely to be concerned about the accuracy of ratings and more worried about over-rating. If
Moodys is recognized by investors as a more conservative rating agency, superior Moodys
ratings will lower yields for two-notch split rated bonds more than for one-notch split rated
bonds. The empirical results confirm this conjecture. The coefficient on SUPMOODY1 notch is
-7.64 while the coefficient on SUPMOODY2 is -12.60; both of them are statistically significant.
Model 3 distinguishes between notch split rated bonds and letter split rated bonds by
creating two other test dummy variables: SUPMOODY_Notch and SUPMOODY_Letter.
SUPMOODY_Notch (SUPMOODY_Letter) equals one for notch (letter) split rated bonds that
have a superior Moodys rating and zero otherwise.23 Rating splits at the letter level may
indicate greater uncertainty and investors may be more worried about rating accuracy. As a
result, we expect that a superior Moodys rating may lower yields more when the two ratings
differ at the letter level than at the notch level. The coefficient on SUPMOODY_Letter, -13.75,
is much larger in magnitude than the -5.89 coefficient on SUPMOODY_Notch. In addition, the
coefficient on SUPMOODY_Notch is only marginally significant, while the coefficient on
SUPMOODY_Letter is significant at the 1% level.
Finally, to check if the results are driven by only a few credit rating categories, the Model
1 regression is run for each split rating category without the rating dummy variables. Table 4
reports the coefficient on SUPMOODY for each regression. The coefficient is negative in 26 out
22 Among the split rated sample, 83.87% (5,579) are one-notch splits and 16.13% (1,073) are two-notch splits.23 There are 2,158 letter split rated issues. Among them, 694 are two-notch splits and 1,464 are one-notch splits.Among the 4,494 notch split rated issues, 379 are two notch splits and 4,115 are one-notch splits.
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of the 33 rating categories and is significant at the 1% or 5% level in 10 categories.24 In addition,
6 of the 10 significant rating categories are letter split ratings, consistent with the earlier finding
that a superior Moodys rating causes a larger reduction in yields for letter splits. On the other
hand, the coefficient is positive and marginally significant in only one rating category
(BB+/BB).25 These findings indicate that investors consistently require lower yields for bonds
with superior Moodys ratings.
c. Evolution of Conservative Ratings and its Impact on Treasury SpreadOur sample period spans 26 years. It is very plausible that the relative conservative
tendencies of the two rating agencies may evolve during such a long time period. This section
investigates the changing relative rating conservativeness and its impact on bond yields.
We first break the split rated sample into two time period sub-samples: 1983-1997 and
1998-2008.26 For the earlier period, the average Moodys Rating and S&P Rating are virtually
the same: 10.458 and 10.463 respectively. In addition, 49.6% of issues have conservative (lower)
Moodys ratings. On the other hand, for the latter period, the average Moodys Rating is 9.275,
significantly lower than the average S&P Rating of 9.551. Furthermore, the percentage of issues
with conservative (lower) Moodys ratings increases to 61.4%. Thus, the Moodys ratings are
not systematically higher or lower than the S&P ratings in the earlier period, but become more
conservative in the late 1990s and 2000s.
24 6 of the 10 rating categories with significant coefficients on SUPMOODY have fewer than 100 observations.This suggests that the statistical significance for the main results in Table 3 is not just driven by the large samplesize.25 To save space, we do not report regression results for control variables. Results are available upon request.26 We choose 1998 as the cutoff year so that the two sub-samples have roughly the same number of observations.We have also broken the sample into two 13-year periods by using 1996 as the cutoff year and the results arequalitatively the same.
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If bond investors are cognizant of the evolving relative conservativeness of the two rating
agencies, the earlier (latter) period should exhibit smaller (greater) yield differences between
issues with superior and inferior Moodys ratings. To check this hypothesis, we run the main
regression (Model 1) for each of the two time period sub-samples and report the results in the
first two columns of Table 5. The coefficient on SUPMOODY is -4.57 and only marginally
significant for the 1983-1997 sub-sample. On the other hand, the coefficient on SUPMOODY is
-13.37 and highly significant for the 1998-2008 sub-sample, suggesting that our main results are
largely driven by the latter sample period, where Moodys is significantly more conservative
than S&P.
In addition to the sub-sample analysis, we also run the main regression on the full split
rated sample with an interaction term between the SUPMOODY and a Time Trend variable,
which is defined as issue year minus 1982. With the interaction term in the regression, the
coefficient on SUPMOODY becomes positive (3.94) though not significant. The coefficient on
the interaction term is -0.83 and significant at the 1% level.27 This finding indicates that bond
investors gradually differentiate between the two rating agencies as one agency becomes more
conservative than the other over time.28
The preceding results suggest that bond investors are sophisticated and can detect subtle
differences between the two major rating agencies and act accordingly. Thus, these findings also
highlight the importance for the rating agencies to protect their reputational capital. If one rating
agency consistently becomes more lenient (conservative) over time, bond investors will
27 For the sake of brevity, we do not report the complete regression results, but they are available upon request.28 We also run separate regressions for each year and the results are consistent with the main findings. For the 15years prior to 1998, the coefficient is negative and significant at the 1% or 5% level in only 2 years (1992 and 1995).For the 11 years in the latter period, the coefficient is significantly (at the 1% or 5% level) negative in 5 years. Inaddition, the magnitude of the coefficients is larger in more recent years than in earlier years.
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gradually adapt to such changes by putting less (more) weight on that agencys rating in their
assessment of default risk.
d. Conservative Ratings and Rule 144AAn interesting development in the US bond market since the early 1990s is the significant
growth of Rule 144A issues. Rule 144A issues are not registered with the SEC but can be traded
among large institutional investors, or Qualified Institutional Buyers (QIB).29
Due to the lack of
registration and lower standards for disclosure, there may be greater information opacity
problems for Rule 144A bond issues.
30
Indeed, Livingston and Zhou (2002) report that over half
of Rule 144A bonds in their sample are issued by firms accessing the bond market for the first
time and almost a quarter of the issuing firms do not file periodic disclosures with the SEC.
Thus, bond investors are forced to rely more heavily on bond ratings to assess the default risk of
Rule 144A issues. In addition, information opacity problems may also decrease the accuracy of
bond ratings on Rule 144A issues and, as a result, bond investors will tend to be more concerned
about over-rating if the two major ratings split. Hence, we expect that more conservative ratings
will have a greater impact on yields of split rated Rule 144A issues.
To check this hypothesis, we utilize the 1998-2008 subsample of split rated bonds.31 We
break the sample into Rule 144A and non-Rule 144A issue subsamples and estimate the main
regression (Model 1) for the two subsamples separately. The regression results are reported in
the last two columns of Table 5. For Rule 144A issues, the coefficient on SUPMOODY is -22.81,
29 See Fenn (2000) and Livingston and Zhou (2002) for more details about Rule 144A issues.30 Lack of disclosure or lower quality of disclosure may lead to information opacity problems. Alternatively, firmswith information asymmetry problems may prefer to issue in the Rule 144A market.31 Rule 144A was first adopted in 1990 and the market grew significantly in the late 1990s. Indeed, most Rule 144Aissues in our sample are from the 1998-2008 sub-sample. We have also used the full sample of split rated bonds toexamine this issue and the results are similar. However, using the full sample introduces bias because most Rule144A bonds are issued in the latter time period, a period where, as documented in the previous section, Moodys ismuch more conservative than S&P and the impact of rating conservativeness on bond yields is more significant.
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much larger in magnitude than its counterpart for the non-Rule 144A bonds, -7.02. This
evidence suggests that bond investors are particularly concerned about rating accuracy on bond
issues with severe information opacity problems and place greater trust in the ratings from the
conservative rating agency.
e. Economic SignificanceWhile the previous sections find the yield difference between bonds with superior
Moodys and superior S&P ratings statistically significant, this section estimates the economic
significance of the yield difference. We take two approaches to gauge the economic significance.
First, we compare the 8-basis-point (13-basis-point) yield difference for the whole sample (the
1998-2008 subsample) to the average yield difference between two adjacent notch rating
categories. We estimate, in Section V, that the average yield difference between two adjacent
notch rating categories is about 30 basis points. Thus, a yield difference of 8 (13) basis points is
approximately equivalent to a difference of 1/4 (1/2) of a notch rating. Second, we estimate how
much the bond price will differ due to the 8-basis-point (13-basis-point) yield difference for a
typical split rated bond in our sample. Table 1 reports that the average size of split rated bonds
in our sample is $235 million, with an average maturity of 12.6 years and yield to maturity of
8.18%. The modified duration for the average bond is approximately 7.5. Thus, a yield
difference of 8 (13) basis points translates to a price difference of 0.6% (0.98%), or $1.42 ($2.30)
million.
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V. Conservative Ratings and Information Opacity Premiums
The previous section compares the yields on split rated bonds with superior Moodys
ratings to those with superior S&P ratings. A follow up question is how the yields on these two
different types of split rated bonds compare to non-split rated bonds. Livingston and Zhou (2010)
document a 7-basis-point yield premium on split rated bonds over non-split rated bonds of
similar credit quality and they attribute the yield premium to the information opacity of split
rated bonds. However, they do not distinguish between those with superior Moodys ratings and
those with superior S&P ratings. Our findings of lower yields on splits with superior Moodys
ratings suggest that the information opacity premium varies between splits with superior
Moodys ratings and splits with superior S&P ratings.
Using the methodology of Livingston and Zhou (2010), we estimate the information
opacity premiums for split rated bonds with superior Moody's ratings and for split rated bonds
with superior S&P ratings. The methodology is described in detail in Appendix A. This
methodology uses two treasury spread regression models to estimate the information opacity
premium. Each model is run with both split rated and non-split rated bonds, allowing a measure
of the impact of split ratings on treasury spreads.
In the first model, called the superior rating model, treasury spreads (for the full sample
of non-split rated bonds and split rated bonds) are regressed against rating dummy variables,
control variables, and a split rating dummy variable. For split rated bonds, the superior of the
two ratings is used to construct the rating dummy variables. Thus, the split rating dummy
variable reflects the fact that a split rated bond has an inferior second rating not captured by the
rating dummy variables. The coefficient on the split rating dummy variable can be interpreted as
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the difference between the actual treasury spreads of split rated bonds and the estimated treasury
spreads of these bonds if both rating agencies had assigned the same superior rating.
The process is reversed in the second regression model, called the inferior rating model.
For the full sample of non-split rated and split rated bonds, the treasury spread is regressed
against rating dummy variables, control variables, and a split rating dummy variable. For split
rated bonds, the inferior of the two ratings is used. Thus, the split rating dummy variable reflects
the fact that a split rated bond has a superior second rating compared to the non-split rated bonds.
The coefficient on the split rating dummy variable can be interpreted as the difference between
the actual treasury spreads of split rated bonds and the estimated treasury spreads if both rating
agencies had assigned the same inferior rating.
Finally, the difference of the absolute values of the coefficients on the split rating dummy
for the superior rating model and the inferior rating model is divided by two to arrive at the
information opacity premium. The logic of this is explained in the Appendix.
We first replicate Livingston and Zhous (2010) main findings on our whole sample (of
both split rated bonds and non-split rate bonds) in Table 6.32 The coefficients on the split rating
dummy variable from the superior and inferior rating models are 24.80 and -11.76 respectively,
suggesting an information opacity premium of 6.5 basis points (that is, [24.80-11.76]/2). This is
very similar to the 7-basis-point premium reported in Livingston and Zhou (2010).
Next, we distinguish the cases of split rated bonds with superior Moodys and superior
S&P ratings. In the first set of regressions, we exclude splits with superior S&P ratings. Thus,
the yields of split rated bonds with superior Moodys ratings are compared with yields of non-
split rated bonds, and the results are reported in the first two columns of Table 7. The
32 Our sample is slightly different from that of Livingston and Zhou (2010) for two reasons. First, their samplecovers 1983 to September 2008, while ours extends to the end of 2008. Second, our sample excludes bonds withthree or more notches of split ratings.
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coefficients on the split rating dummy variables from the superior and inferior rating models are
20.01 and -16.22 respectively, indicating an information opacity premium of 2 basis points (that
is, [20.01-16.22]/2). Then, we exclude splits with superior Moodys rating and compare the
yields of split rated bonds with superior S&P ratings and yields of non-split rated bonds in the
second set of regressions. The results are reported in the last two columns of Table 7. The 28.34
and -8.50 coefficients from the superior and inferior rating models imply an information opacity
premium of 10 basis points (that is, [28.34-8.5]/2).
This evidence indicates that the information opacity premium is significantly smaller
when Moodys assigns a superior rating (2 basis points), and higher (10 basis points) when S&P
assigns the superior rating. See Figure 1. The difference in the information opacity premium
between the two groups of split rated bonds is 8 basis points, which is in line with the estimated
average yield difference between the two groups as reported in Section IV.
Based on the regression results in Table 7, we also estimate the average difference in
yield spreads between two adjacent notch rating categories. For example, from the first column
of Table 7, the coefficients on AA- and A+ are -63.79 and -51.98 respectively, suggesting a 12
basis points difference in the yield spreads between the two adjacent rating categories. For each
rating category, we find the absolute yield spread difference from its adjacent higher rating
category. Then, we weight the absolute yield spread difference by the number of observations in
the rating category.33 The weighted average yield spread difference between all the adjacent
rating categories is about 30 basis points.34
33 A simple average is biased because the yield spread difference between below investment grade rating categoriesare much larger but there are fewer observations. For below investment grade rating categories, the average yielddifference is 67 basis points but they only account for 25% of the sample. For investment grade rating categories,the average yield difference is much smaller, about 16 basis points.34 Using the coefficients reported in the other three columns of Table 7, we obtain similar estimates.
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VI. Discussion and Conclusion
While most public corporate bond issues have ratings from both Moodys and S&P,
regulators and many academic studies do not differentiate between the two ratings and treat them
as equivalent and interchangeable. In other words, a bond with an A+ rating from Moody's and
an A- rating from S&P is thought to be the same as another bond with an A+ from S&P and an
A- from Moody's. This wide perception of equivalence of the two major ratings is particularly
troublesome when previous studies have consistently shown that Moodys is a more conservative
rating agency and is more likely to assign a conservative rating than S&P when the two differ.
This study performs a joint test that 1) there is a systematic difference between the
Moodys and S&P ratings and 2) bond investors differentiate between these two ratings. We
find that split rated bonds with superior Moodys ratings have lower yields than similar bonds
with superior S&P ratings, suggesting that investors differentiate between these two situations.
The yield difference is both statistically and economically significant. In addition, the
differential impact of the two ratings on bond yields is more pronounced for Rule 144A bond
issues, which have greater information opaqueness problems. This evidence indicates that bond
investors are particularly concerned about opaque bond issues and rely more heavily on the
ratings from the conservative rating agency in their assessment of default risk.
Furthermore, the relative conservativeness of the two rating agencies is not static, but
evolving. Accordingly, bond investors differentiate between the two rating agencies only when
there is a systematic difference between them. This evidence highlights the importance for the
rating agencies to protect their reputational capital. If one rating agency consistently becomes
more lenient (conservative) over time, bond investors will gradually adapt to such changes by
putting less (more) weight on that agencys rating in their assessment of default risk. This
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finding supports the argument that rating agencies have strong incentives to issue honest and
accurate ratings to protect their reputation capital. In addition, the finding suggests a need for the
regulatory agencies, such as the SEC, to monitor and evaluate the performance of the nationally
recognized rating agencies whose ratings are used as regulatory tools.
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Appendix A
We follow Livingston and Zhous (2010) methodology to estimate the information
opacity premium of split rated bonds. Specifically, two treasury spread regression models are
used.
The first regression model compares treasury spreads for split rated bonds with non-split
rated bonds with superior ratings. The superior ratings are used to create seventeen rating
dummy variables: SUP_RATINGj (j = 1 to 17). To distinguish the split rated and non-split rated
bond issues, a dummy variable for split rating, SPLIT, is included in the regression. The SPLIT
dummy variable reflects the fact that a split rated bond has an inferior rating (in addition to its
split superior rating) not captured by the rating dummy variables. The regression model is as
follows:
17 8 25
i i ji ji ji
1 1 1
TS *SPLIT *SUP_RATING *Control Variable *YEAR .s j j jj j j
(A1)
Equation (A1) is called the Superior Rating Model. If yields for the split rated bonds are
determined by the superior rating alone and the second rating has no impact, Sshould be
insignificant. Alternatively, if investors price the inferior rating as well, Sshould be
significantly positive; that is, the inferior second rating should increase yields since it conveys
additional negative information. Thus, the coefficient for SPLIT, S, can be interpreted as the
difference between the actual treasury spreads of split rated bonds and the estimated treasury
spreads of these bonds if both rating agencies had assigned the same superior rating.
The procedure is then reversed. In the second regression model, yields for split rated
bonds are compared with yields for the inferior rating. Specifically, the inferior ratings are used
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to create the rating dummy variables:INF_RATINGj (j = 1 to 17).A1 Thus, the SPLIT variable
reflects the fact that a split rated bond has a superior rating not captured by the rating dummy
variables. The regression model is as follows:
17 8 25
i i ji ji ji
1 1 1
TS *SPLIT *INF_RATING *Control Variable *YEAR .I j j jj j j
(A2)
Equation (A2) is called the Inferior Rating Model. The coefficient for SPLIT,I, can be
interpreted as the difference between the actual treasury spreads of split rated bonds and the
estimated treasury spreads of these bonds if both rating agencies had assigned the same inferior
rating.
The final step compares the two coefficients, Sand I. LetNbe the actual treasury
spreads of split rated bonds and S(I) be the estimated treasury spreads if both rating agencies had
assigned the same superior (inferior) rating. Then, as illustrated in Figure A1:
S = N |S| (A3)I = N + |I|
Let A be the average ofSandI, or:
A = (S+I)/2 = (N |S| +N+ |I|)/2 =N+ (|I| |S|)/2.
Thus, the information opacity premium of split rated bonds is:
PREM= NA=N (N+ (|I| | S|)/2) = (|S| |I|)/2 (A4)
That is, the information opacity premium (PREM) is the difference of the absolute values of the
two coefficients divided by two. The information opacity premium is shown in Figure A1.
If there is no information opacity premium on split rated bonds, then, per Equation (A4),
the absolute values of the two coefficients, |S| and |I|, should be same. Conversely, if there is an
information opacity premium on split rated bonds, then |S| should be larger than |I|.
A1 For non-split rated bonds, there is no difference between the SUP_RATING andINF_RATING variables.
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TreasurySpread
(Basis Points)
S
I
I: Non-Split Inferior Rating
S: Non-Split Superior
Rating
A: Average of Non-Split
Superior and Inferior
Ratings
L: All Splits
SP: Split-S&P Higher
M: Split-Moodys Higher
SP
L
M
A
2
6.5
10
Superior Inferior Rating
30
8
Figure 1. Split Rated Bond Risk Premium. This figure illustrates the risk premium on split rated bonds over non-split rated bonds. The difference of 30 basis points between I and S is the average difference in treasury spreadbetween two adjacent ratings and is derived in Section V. The difference of 10 basis points between SP and A andthe 2-basis-point difference between M and A are derived from Table 7 and discussed in Section V. The difference
of 6.5 basis points between L and A are derived from Table 6 and also discussed in Section V.
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Figure 2. Number of Split Rated Issues in Each Rating Category. This figure depicts the number of split rated bonds winumber of splits with superior Moodys ratings in each split rating category.
0
50
100
150
200
250
300
350
400
450
AAA/AA+
AAA/AA
AA+/AA
AA+/AA-
AA/AA-
AA/A+
AA-/
A+
AA-/
A
A+/A
A+/A-
A/A-
A/BBB+
A-/
BBB+
A-/
BBB
BBB+/BBB
BBB+/BBB-
BBB/BBB-
BBB/BB+
BBB-/
BB+
BBB-/
BB
BB+/BB
BB+/BB-
BB/BB-
BB/B+
BB-/
B+
B B
/ B
NumerofIssues
Superior S&P Rating Superior Moody's Rating
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Figure A1. Illustration of Information Opacity Premium. I stands for the estimated treasury spreads on split rated bonds ifboth rating agencies had assigned the same inferior rating. S stands for the estimated treasury spreads on split rated bonds ifboth rating agencies had assigned the same superior rating. A is the average of I and S. N stands for the actual treasuryspreads of split rated bonds. The difference between N and A is the information opacity premium (PREM).
InformationOpacity
Premium
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Table 1
Summary Statistics
This table reports the descriptive statistics of the Non-Split Rated sample, Split Rated sample, the Superior S&PRating sub-sample, and the Superior Moodys Rating sub-sample. The Moodys Rating and the S&P Rating are twonumerical variables ranging from 1(for CCC rating) to 18 (for AAA rating). Average Rating is the average of the
Moodys Rating and the S&P Rating.
Non-SplitRated Sample
SplitRated Sample
SuperiorS&P Rating
SuperiorMoodys Rating
Proceeds(in million dollars)
223.78 235.46 243.80 225.07
Maturity 12.35 12.60 11.86 13.52
Yield to Maturity 7.86% 8.18% 7.97% 8.45%
Treasury Spread
(in basis points) 197.91 215.73 215.17 216.43
Moodys Rating 10.33 9.87 9.43 10.42
S&P Rating 10.33 10.01 10.60 9.27
Average Rating 10.33 9.94 10.01 9.84
Rating Difference(Moodys Rating S&P Rating)
0.00 -0.14 -1.17 1.15
% of Senior Bond 87.46% 86.83% 89.65% 83.32%
% of Shelf-registration 66.42% 60.70% 61.64% 59.54%
% of Utility Issues 37.65% 40.33% 37.06% 44.41%
% of Rule 144A Issues 22.09% 23.08% 26.28% 19.08%
% of Callable Bonds 33.90% 35.75% 31.94% 40.49%
No. of Obs. 7,201 6,652 3,691 2,961
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Table 2
Mean Treasury Spreads of Split Rated Bonds by Rating Category
This table reports the mean treasury spreads of each split rating category for the Split Rated sample, Superior S&PRating sub-sample, and Superior Moodys Rating sub-sample.
Split Rated Sample Superior S&P Rating Superior Moodys Rating
AAA/AA+ 60.19 54.48 65.37
AAA/AA 101.34 110.64 88.01
AA+/AA 62.70 51.90 65.60**
AA+/AA- 104.49 106.86 92.65
AA/AA- 66.77 67.41 66.11
AA/A+ 81.41 81.37 81.46
AA-/A+ 89.09 92.00 82.16
AA-/A 109.04 120.22 81.74***
A+/A 88.81 94.14 82.78***
A+/A- 118.13 113.19 124.09A/A- 113.11 111.69 115.82
A/BBB+ 135.90 112.51 159.73***
A-/BBB+ 137.85 143.99 132.91**
A-/BBB 126.00 120.42 132.46
BBB+/BBB 150.42 151.30 149.47
BBB+/BBB- 168.74 157.91 191.67
BBB/BBB- 175.08 173.67 177.13
BBB/BB+ 196.98 183.73 237.76*
BBB-/BB+ 201.32 191.80 217.82
BBB-/BB 233.39 240.33 214.17
BB+/BB 288.43 277.18 309.12BB+/BB- 333.31 334.11 331.07
BB/BB- 299.53 300.10 298.29
BB/B+ 363.19 401.68 311.12***
BB-/B+ 367.12 369.06 365.43
BB-/B 437.13 484.05 366.74***
B+/B 423.94 446.13 394.60***
B+/B- 461.08 491.04 415.78***
B/B- 486.03 496.84 475.26*
B/CCC+ 569.09 552.74 574.73
B-/CCC+ 583.64 626.89 553.78***
B-/CCC 528.64 558.95 515.81
CCC+/CCC 716.84 819.24 599.81
***,**, * indicate the difference between the Superior S&P Rating sub-sample and the Superior Moodys Ratingsub-sample is significant at the 1%, 5% or 10% level.
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Table 3
Treasury Spread Regressions for Split Rated Sample
This table reports the treasury spread regression results for the Split Rated sample. The dependent variableis the treasury spread in basis points. The control variables include 32 split rating dummy variables withBBB+/BBB as the base case. MATURITY is the natural log of the number of years to maturity.
PROCEEDS is the gross proceeds of the bond issue in millions of dollars. SENIOR equals 1 for seniorbonds, 0 otherwise. CALL equals 1 for callable bonds, 0 otherwise. UTILITY equals 1 for utility issues, 0otherwise. R144A equals 1 for Rule 144A issues, 0 otherwise. SHELF equals 1 for shelf registered issues,0 otherwise. RISKPREM is the difference (in basis points) between Moodys AAA Bond Index Yield and10-Year Treasury yield. The regressions also include 25 year dummies with 2008 as the base case. InModel 1, the test variable is SUPMOODY, equal to 1 if Moodys assigns a superior rating and 0 otherwise.In Model 2, the test variables are SUPMOODY1 and SUPMOODY2. SUPMOODY1 (SUPMOODY2)equals 1 if Moodys rating is one (two) notch above the S&P rating. In Model 3, the test variables areSUPMOODY_Notch and SUPMOODY_Letter. SUPMOODY_Notch equals 1 if Moodys rating is abovethe S&P rating but they are in the same letter rating category, 0 otherwise. SUPMOODY_Letter equals 1 ifMoodys rating is in a letter category superior to the S&P rating, 0 otherwise. The p-values (in theparenthesis) have been adjusted for potential clustering problems that might arise from multiple bond issuesby the same firm.
Model 1 Model 2 Model 3
Intercept 58.19 (0.00) 57.60 (0.00) 56.58 (0.00)
SUPMOODY -8.38 (0.00)
SUPMOODY1 -7.64 (0.01)
SUPMOODY2 -12.60 (0.03)
SUPMOODY_Notch -5.89 (0.07)
SUPMOODY_Letter -13.75 (0.00)
AAA/AA+ -81.35 (0.00) -81.41 (0.00) -77.46 (0.00)
AAA/AA -75.22 (0.00) -73.33 (0.00) -72.06 (0.00)
AA+/AA -72.70 (0.00) -72.91 (0.00) -73.54 (0.00)
AA+/AA- -55.64 (0.00) -54.60 (0.00) -54.86 (0.00)AA/AA- -67.20 (0.00) -67.22 (0.00) -67.32 (0.00)
AA/A+ -49.91 (0.00) -47.83 (0.00) -46.52 (0.00)
AA-/A+ -59.45 (0.00) -59.30 (0.00) -56.64 (0.00)
AA-/A -53.38 (0.00) -51.85 (0.00) -50.65 (0.00)
A+/A -55.37 (0.00) -55.34 (0.00) -55.31 (0.00)
A+/A- -47.32 (0.00) -45.05 (0.00) -47.27 (0.00)
A/A- -45.72 (0.00) -45.62 (0.00) -45.40 (0.00)
A/BBB+ -9.83 (0.00) -7.40 (0.00) -5.98 (0.00)
A-/BBB+ -24.83 (0.00) -24.89 (0.00) -20.70 (0.00)
A-/BBB -15.62 (0.00) -13.34 (0.00) -11.93 (0.00)
BBB+/BBB- 27.95 (0.00) 29.66 (0.00) 28.35 (0.00)
BBB/BBB- 26.02 (0.00) 26.09 (0.00) 26.23 (0.00)
BBB/BB+ 60.54 (0.00) 61.98 (0.00) 63.07 (0.00)
BBB-/BB+ 64.22 (0.00) 64.35 (0.00) 67.43 (0.00)
BBB-/BB 101.13 (0.00) 102.66 (0.00) 103.76 (0.00)
BB+/BB 140.26 (0.00) 140.40 (0.00) 140.70 (0.00)
BB+/BB- 197.94 (0.00) 199.47 (0.00) 198.64 (0.00)
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BB/BB- 137.79 (0.00) 137.99 (0.00) 138.29 (0.00)
BB/B+ 212.26 (0.00) 214.51 (0.00) 215.85 (0.00)
BB-/B+ 229.76 (0.00) 229.80 (0.00) 233.92 (0.00)
BB-/B 280.53 (0.00) 282.68 (0.00) 284.01 (0.00)
B+/B 289.28 (0.00) 289.41 (0.00) 289.51 (0.00)
B+/B- 329.39 (0.00) 331.49 (0.00) 329.73 (0.00)B/B- 360.50 (0.00) 360.56 (0.00) 360.60 (0.00)
B/CCC+ 434.04 (0.00) 437.58 (0.00 439.41 (0.00)
B-/CCC+ 463.65 (0.03) 463.62 (0.03) 468.25 (0.03)
B-/CCC 417.29 (0.06) 420.64 (0.06) 422.37 (0.06)CCC+/CCC 594.53 (0.01) 594.62 (0.02) 594.79 (0.01)MATURITY 17.05 (0.00) 17.07 (0.00) 17.08 (0.00)
PROCEEDS -0.01 (0.09) -0.01 (0.09) -0.01 (0.09)
SENIOR 59.68 (0.00) 59.62 (0.00) 59.70 (0.00)
UTILITY -12.48 (0.00) -12.40 (0.00) -12.27 (0.00)
CALL 13.93 (0.00) 13.89 (0.00) 13.90 (0.00)
R144A 8.85 (0.07) 8.88 (0.07) 8.96 (0.07)SHELF -16.12 (0.00) -16.02 (0.00) -16.02 (0.00)
RISKPREM 1.04 (0.00) 1.04 (0.00) 1.04 (0.00)
Year dummies Yes Yes Yes
No. of Obs. 6,652 6,652 6,652
R-squared 0.81 0.81 0.81
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Table 4
Treasury Spread Regressions for Split Rated Sample for Each Rating Category
The dependent variable is the treasury spread in basis points. Model 1 (from Table 3) treasury spreadregressions without the split rating dummy variables are estimated for each split rating category. Thecoefficients on SUPMOODY are reported with the cluster-robust p-values. The last two columns report the
number of observations and the R-squared value for each regression. Some control variables are droppedfrom the regressions when there is only one level of variation.
SUPMOODY p-value No. of Obs R-squared
AAA/AA+ 9.77 0.26 42 0.84
AAA/AA -94.54 0.02 26 0.91
AA+/AA 8.59 0.30 123 0.58
AA+/AA- -28.54 0.01 36 0.93
AA/AA- -3.91 0.16 285 0.75
AA/A+ -30.79 0.00 77 0.86
AA-/A+ -13.07 0.02 338 0.50
AA-/A -30.14 0.04 86 0.82A+/A -12.63 0.00 643 0.65
A+/A- 16.86 0.18 106 0.75
A/A- -5.45 0.14 599 0.68
A/BBB+ -25.22 0.06 109 0.76
A-/BBB+ -6.24 0.15 559 0.66
A-/BBB -0.12 0.99 123 0.84
BBB+/BBB -1.30 0.77 685 0.66
BBB+/BBB- -34.11 0.05 81 0.84
BBB/BBB- -2.89 0.70 492 0.53
BBB/BB+ -33.83 0.47 53 0.77
BBB-/BB+ 19.41 0.12 186 0.70
BBB-/BB -31.49 0.14 49 0.88
BB+/BB 32.35 0.07 142 0.69
BB+/BB- -19.56 0.77 53 0.75
BB/BB- 22.45 0.26 187 0.59
BB/B+ 59.68 0.53 40 0.80
BB-/B+ -18.38 0.21 197 0.55
BB-/B -122.32 0.04 55 0.83
B+/B -39.38 0.00 386 0.47
B+/B- -28.30 0.38 103 0.69
B/B- -12.82 0.22 543 0.42
B/CCC+ -23.66 0.79 39 0.78
B-/CCC+ -77.70 0.02 142 0.42
B-/CCC -168.44 0.22 37 0.82
CCC+/CCC -116.00 0.55 30 0.58
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Table 5
Treasury Spread Regressions for Split Rated Sub-Samples
The dependent variable is the treasury spread in basis points. This table reports results of the Model 1(from Table 3) treasury spread regressions for several sub-samples. The first two columns report the resultsfor two sub-samples of different time periods: 1983 1997 and 1998 2008. The third column excludes
Rule 144A issues. The fourth column contains the Rule 144A sample. The p-values (in parentheses) havebeen adjusted for potential clustering problems that might arise from multiple bond issues by the same firm.
1983 -1997 1998-20081998-2008
Non-Rule 144A1998-2008
Rule 144A Issue
Intercept -70.61 (0.00) -11.55 (0.65) 28.90 (0.36) 66.97 (0.28)
SUPMOODY -4.57 (0.07) -13.37 (0.00) -7.02 (0.12) -22.81 (0.01)
AAA/AA+ -78.21 (0.00) - 85.66 (0.00) -82.98 (0.02) n.a
AAA/AA -68.23 (0.00) - 79.61 (0.00) -70.55(0.00) -61.15(0.00)
AA+/AA -63.71 (0.00) -89.02 (0.00) -79.47(0.00) -180.78(0.00)
AA+/AA- -58.29 (0.00) - 54.48 (0.00) -53.45(0.00) -24.82(0.19)
AA/AA- -59.23 (0.00) - 81.84 (0.00) -76.21(0.00) -176.99(0.00)AA/A+ -47.20 (0.00) - 47.74 (0.00) -62.54(0.00) n.a.
AA-/A+ -58.03 (0.00) -60.15 (0.00) -49.28(0.00) -97.21(0.00)
AA-/A -54.72 (0.00) - 50.12 (0.00) -49.43(0.00) -3.25(0.91)
A+/A -46.28 (0.00) -63.45 (0.00) -59.96(0.00) -16.01(0.42)
A+/A- -32.46 (0.00) - 56.95 (0.00) -47.43(0.00) -67.59(0.00)
A/A- -33.89 (0.00) - 59.03 (0.00) -52.18(0.00) -48.31(0.01)
A/BBB+ -7.86 (0.30) - 13.92 (0.14) -16.20(0.10) 3.39(0.89)
A-/BBB+ -21.74 (0.00) - 29.09 (0.00) -20.43(0.00) -9.81(0.58)
A-/BBB -16.20 (0.03) - 12.68 (0.08) -8.68(0.21) -10.93(0.59)
BBB+/BBB- 29.40 (0.04) 37.09 (0.01) 28.30(0.03) 65.12(0.01)
BBB/BBB- 22.60 (0.00) 29.27 (0.00) 28.12 (0.00) 34.50 (0.07)
BBB/BB+ 65.51 (0.00) 59.63 (0.00) 61.81(0.00) 58.90(0.03)
BBB-/BB+ 50.29 (0.00) 75.72 (0.00) 87.11(0.00) 90.47(0.00)
BBB-/BB 92.56 (0.00) 138.77 (0.00) 115.34(0.01) 184.36(0.00)
BB+/BB 148.42 (0.00) 134.51 (0.00) 131.83(0.00) 149.61(0.00)
BB+/BB- 207.02 (0.00) 195.08 (0.00) 140.09(0.00) 232.89(0.00)
BB/BB- 166.73 (0.00) 127.78 (0.00) 111.02(0.00) 166.74(0.00)
BB/B+ 247.79 (0.00) 181.61 (0.00) 78.61(0.20) 204.87(0.20)
BB-/B+ 259.79 (0.00) 213.23 (0.00) 190.47(0.00) 237.76(0.00)
BB-/B 282.59 (0.00) 282.66 (0.00) 363.98(0.00) 287.10(0.00)
B+/B 323.70 (0.00) 270.98 (0.00) 236.21(0.00) 297.12(0.00)B+/B- 376.45 (0.00) 295.84 (0.00) 303.57(0.00) 320.07(0.00)
B/B- 395.10 (0.00) 343.86 (0.00) 287.02(0.00) 370.07(0.00)
B/CCC+ 454.34 (0.18) 432.25 (0.00) n.a. 468.65 (0.00)
B-/CCC+ 486.12 (0.87) 456.81 (0.00) 488.50(0.00) 500.55(0.00)
B-/CCC 408.76 (0.00) 460.72 (0.00) 289.62(0.00) 512.70(0.00)CCC+/CCC 490.20 (0.00) 619.58 (0.00) n.a 670.22 (0.00)
MATURITY 18.53 (0.00) 18.74 (0.00) 19.10 (0.00) -9.85 (0.19)
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PROCEEDS -0.02 (0.08) -0.01 (0.22) 0.01(0.07) -0.07(0.00)
SENIOR 75.58 (0.00) 51.11 (0.00) 15.29 (0.43) 65.17 (0.00)
UTILITY -3.74 (0.20) -20.43 (0.00) -7.25 (0.12) -38.55 (0.00)
CALL 9.78 (0.00) 13.62 (0.12) 13.19 (0.22) 4.38 (0.74)
R144A -10.18 (0.13) 29.20 (0.01)
SHELF -10.90 (0.01) -0.24 (0.98) 1.16 (0.91) n.aRISKPREM 0.38 (0.00) 1.40 (0.00) 1.16 (0.00) 2.02 (0.01)
Year dummies Yes Yes Yes Yes
No. of Obs. 3,339 3,313 2,022 1,291
R-squared 0.88 0.75 0.70 0.66
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Table 6
Information Opacity Premium Regressions for Full Sample
The dependent variable is the treasury spread in basis points. The base case is BBB+ rated bonds. SPLIT isequal to 1 for split rated bonds and 0 otherwise. MATURITY is the natural log of the number of years tomaturity. PROCEEDS is the gross proceeds of the bond issue in millions of dollars. SENIOR equals 1 forsenior bonds, 0 otherwise. CALL equals 1 for callable bonds, 0 otherwise. UTILITY equals 1 for utility
issues, 0 otherwise. R144A equals 1 for Rule 144A issues, 0 otherwise. SHELF equals 1 for shelf registeredissues, 0 otherwise. RISKPREM is the difference (in basis points) between Moodys AAA Bond IndexYield and 10-Year Treasury yield. The regressions also include 25 year dummies with 2008 as the base case.In the Superior (Inferior) Rating Model, we use the superior (inferior) rating of split rated bonds to constructthe rating dummy variables. Thus, the coefficient for SPLIT measures the impact of the Inferior (Superior)second rating on the treasury spreads of split rated bonds. The p-values (in parentheses) have been adjustedfor potential clustering problems that might arise from multiple bond issues by the same firm.
Superior Rating Model Inferior Rating Model
Intercept 36.72 (0.00) 43.86 (0.00)
SPLIT 24.80 (0.00) -11.76 (0.00)
AAA -84.21 (0.000 -90.33 (0.00)
AA+ -74.41 (0.00) -65.57 (0.00)AA -66.32 (0.00) -60.28 (0.00)
AA- -61.06 (0.00) -53.29 (0.00)
A+ -52.25 (0.00) -42.96 (0.00)
A -37.26 (0.00) -35.12 (0.00)
A- -21.89 (0.00) -21.33 (0.00)
BBB 17.33 (0.00) 13.35 (0.00)
BBB- 48.50 (0.00) 42.28 (0.00)
BB+ 137.20 (0.00) 93.21 (0.00)
BB 157.14 (0.00) 161.49 (0.00)
BB- 219.25 (0.00) 183.85 (0.00)
B+ 282.39 (0.00) 252.58 (0.00)
B 349.28 (0.00) 318.80 (0.00)
B- 423.03 (0.00) 392.65 (0.00)
CCC+ 546.11 (0.00) 488.51 (0.00)
CCC 461.52 (0.00) 507.13 (0.00)
MATURITY 17.38 (0.00) 17.58 (0.00)
PROCEEDS -0.01 (0.07) -0.01 (0.00)
SENIOR 63.42 (0.00) 60.41 (0.00)
UTILILTY -11.86 (0.00) -10.79 (0.00)
CALL 14.87 (0.00) 15.27 (0.00)
R144A 7.67 (0.09) 10.18 (0.02)SHELF -17.18 (0.00) -15.72 (0.00)
RISKPREM 0.98 (0.00) 0.98 (0.00)
YEAR Dummies Yes Yes
No. of Obs. 13,853 13,853
R-square 0.81 0.81
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Table 7
Information Opacity Premium Regressions for Two Subsamples
The dependent variable is the treasury spread in basis points. The base case is BBB+ rated bonds. SPLIT isequal to 1 for split rated bonds and 0 otherwise. MATURITY is the natural log of the number of years tomaturity. PROCEEDS is the gross proceeds of the bond issue in millions of dollars. SENIOR equals 1 forsenior bonds, 0 otherwise. CALL equals 1 for callable bonds, 0 otherwise. UTILITY equals 1 for utility
issues, 0 otherwise. R144A equals 1 for Rule 144A issues, 0 otherwise. SHELF equals 1 for shelf registeredissues, 0 otherwise. RISKPREMIUM is the difference (in basis points) between Moodys AAA Bond IndexYield and 10-Year Treasury yield. The regressions also include 25 year dummies with 2008 as the base case.In the Superior (Inferior) Rating Model, we use the superior (inferior) rating of split rated bonds to constructthe rating dummy variables. Thus, the coefficient for SPLITmeasures the impact of the Inferior (Superior)second rating on the treasury spreads of split rated bonds. The p-values (in parentheses) have been adjustedfor potential clustering problems that might arise from multiple bond issues by the same firm.
Superior Moodys Splits and Non-Splits Superior S&P Splits and Non-Splits
Superior
Rating Model
Inferior
Rating Model
Superior
Rating Model
Inferior
Rating Model
Intercept 37.59 (0.01) 40.15 (0.00) 34.61 (0.01) 44.45 (0.00)
SPLIT 20.01 (0.00) -16.22 (0.00) 28.34 (0.00) - 8.50 (0.00)AAA -86.87 (0.000 -90.33 (0.00) -83.74 (0.00) -89.16 (0.00)
AA+ -79.37 (0.00) -66.97 (0.00) -67.16 (0.00) -69.70 (0.00)
AA -67.03 (0.00) -61.37 (0.00) -65.43 (0.00) -63.21 (0.00)
AA- -63.79 (0.00) -56.52 (0.00) -60.50 (0.00) -57.47 (0.00)
A+ -51.98 (0.00) -47.14 (0.00) -49.52 (0.00) -43.98 (0.00)
A -36.33 (0.00) -36.73 (0.00) -37.42 (0.00) -35.45 (0.00)
A- -22.71 (0.00) -19.95 (0.00) -18.68 (0.00) -22.59 (0.00)
BBB 14.26 (0.00) 12.56 (0.00) 14.23 (0.00) 10.13 (0.00)
BBB- 43.49 (0.00) 41.70 (0.00) 44.35 (0.00) 38.32 (0.00)
BB+ 131.07 (0.00) 107.63 (0.00) 128.84 (0.00) 89.31 (0.00)
BB 175.92 (0.00) 176.81 (0.00) 153.08 (0.00) 157.83 (0.00)
BB- 210.51 (0.00) 197.38 (0.00) 217.74 (0.00) 181.93 (0.00)
B+ 268.30 (0.00) 258.46 (0.00) 286.73 (0.00) 255.08 (0.00)
B 347.71 (0.00) 320.27 (0.00) 345.47 (0.00) 328.64 (0.00)
B- 419.78 (0.00) 401.99 (0.00) 423.72 (0.00) 400.23 (0.00)
CCC+ 521.10 (0.00) 487.62 (0.00) 558.49 (0.00) 515.55 (0.00)
CCC 464.65 (0.00) 456.23 (0.00) 460.13 (0.00) 569.75 (0.00)
MATURITY 17.74 (0.00) 17.86 (0.00) 18.16 (0.00) 18.38 (0.00)
PROCEEDS -0.00 (0.29) -0.01 (0.19) -0.01 (0.06) -0.01 (0.07)
SENIOR 65.95 (0.00) 65.44 (0.00) 65.37 (0.00) 60.03 (0.00)
UTILILTY -11.92 (0.00) -10.58 (0.00) - 9.51 (0.00) -8.48 (0.00)CALL 14.40 (0.00) 15.95 (0.00) 14.01 (0.00) 12.71 (0.00)
R144A 1.93 (0.71) 7.88 (0.12) 9.98 (0.07) 7.58 (0.14)
SHELF -17.35 (0.00) -14.41 (0.00) -16.76 (0.00) -18.20 (0.00)
RISKPREM 0.94 (0.00) 0.94 (0.00) 0.96 (0.00) 0.97 (0.00)
YEAR Dummies Yes Yes Yes Yes