Will the Use of Credit Default Swaps Affect Risks and Firm...
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Will the Use of Credit Default Swaps Affect Risks and Firm Value?
Evidence from U.S. Life and Property-Casualty Insurance Companies
Abstract
This study uses a unique data set of the insurers to examine the effects of credit default swaps (CDS)on the risk profile and financial performance of the insurance companies from 2001 to 2007. The analyses are based on a simultaneous equations model to capture the endogeneity between risks and CDS utilization. We have two interesting results. First, we find that use of CDS increases the total risk, idiosyncratic risk, and market risks for both Life and Property Property-Casualty (PC) insurers. In addition, taking positions as net-buyer or net-seller also increases the three types of risks. Second, use of CDS also appears to lower the financial performance in terms of Tobin q, market value of equity to book value, and return on assets of Life and PC insurers. Furthermore, participating in CDS as net buyers has more significant effects on reducing Life insurer’s firm performance than net-seller positions. On the other hand, PC insurers participating in CDS as either net buyers or net sellers significantly lower their firm performance.
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Will the Use of Credit Default Swaps Affect Risks and Firm Value? Evidence from U.S. Life and Property-Casualty Insurance Companies
1. Introduction
This study examines the effects of credit derivative swaps (CDS) on risk profiles and thus
the market value of Life and Property-Casualty (PC) insurance companies. The CDS market has
grown enormously in recent years. The notional amounts of credit derivatives reached $17.1
trillion as of year-end 2005, a 25-fold increase from the level at mid-year 2001 (International
Swaps and Derivatives Association, 2006), and further reached a notional outstanding value of
over $60 trillion by the end of the first half of 2008 (BIS 2008). According to British Bankers’
Association (2006), insurers worldwide held an 18 percent market share for selling credit default
swaps (CDS) protection in 2006 and 6 percent of the CDS market for buying credit protection.
Thus, an examination of how CDS affect the insurance companies on their risk and the market
value is of interest to risk management and policy makers.
Credit derivatives enable investors to separate the origination of credit, the funding of credit,
and to manage credit risk. Two major effects of credit derivatives innovation are (1) to enable
risk sharing by hedging, and (2) to offload risks of investments easily (Instefjord, 2005). That is,
CDS markets provide insurers a mechanism for risk management and a tool for risk-taking.
The existing literature has primarily focused on examining banks’ risk-hedging and risk-taking
behaviors using CDS. As insurers are active participants in the CDS markets, there is limited
research on how insurers utilize CDS. This study intends to bridge the gap by examining how
CDS affect the insurers.
Apparently, insurers rely extensively on derivatives in general to manage interest rate risk,
market risk, credit risk, and liquidity risk. Because the insurance industry is highly-regulated at
the state level, the application of CDS is mandated by regulators for hedging, replication, and
income generation.1 With such features embedded in CDS utilization, CDS theoretically can
allow insurers to increase or decrease risk of their companies, depending on their underlying
motives. Receiving insurance premiums as their future liabilities payments and investing the
1 Hedging transactions are to reduce price, quantity, currency and other risks associated with their assets and liabilities. Income generation involves writing derivatives. Replication transactions replicate the performance of one or more assets that the insurers allowed to acquire.
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funds as their asset holdings, insurers intend to manage effectively their assets-liabilities
durations. The application of CDS plays an essential role in such duration management and can
possibly alter insurers’ risk characteristics. Intuitively, insurers can purchase CDS to hedge the
credit risk of their bond holdings. On the other hand, insurers can sell CDS to alter the credit
risks from bond holdings.. As the CDS market has more liquidity, replicating bond portfolios for
flexibility and greater diversification with CDS (Goldfried, 2003) can possibly shift risks to a
lesser degree. Therefore, either hedging or replication can possibly reduce insurers’ risks (Blanco
et al. 2005; Cummins et al., 2001). In fact, Guay (1999) has demonstrated that using derivatives
can reduce the risk of companies. For example, Metlife in its 2009 10-Q report confirms that it
uses certain credit default swaps intending to hedge against credit-related changes in the value of
its investments and to diversify its credit risk exposure in certain portfolios. However, as Metlife
realistically utilizes credit default swaps in non-qualifying hedging relationships, which can even
further increase firm risks.
Apparently, CDS can increase the risks of insurers. Selling CDS protection for income
generation purpose is a direct and intuitive link to increased risk because protection sales entail
intrinsic credit risk of default by the counterparty. An insure writes credit default swaps for which
it receives a premium to insure credit risk for the CDS buyer. CDS market can promptly reflect
credit risk of the overall market movement (Fung, et al., 2008); therefore, when insurers use
CDS extensively through income generation motive, they would expect to display greater risks
as illustrated by AIG’s large sale of CDS.2 It is true particularly for the beta risk of the insurers
writing CDS. Also, insurers writing protection CDS increase their credit risk if the CDS are
underpriced or their risks are not well diversified away. Given the complexity of the CDS
products, it is not straight forward to price them properly and thus CDS require expertise for the
correct pricing. Insurers are generally not experts in CDS trading as compared to investment
banks or commercial banks, leading to the sale of likely underpriced CDS. There is also a
potential spillover from counterparty risks among issuers because one failure may spillover to
other issuers too (Gaiyan –your citation?).
Income generation activity increases risk of the insurers from trading CDS portfolios to
generate profits on short-term differences in CDS price (see for example, Metlife 2009 10-Q
report). Such trading strategy may include a more subtle strategy of having a long position in
2 “How AIG fell apart,” by Adam Davidson, September 18, 2008, Reuters.
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CDS initially. That is, insurers purchase CDS initially in anticipation of widening CDS spreads
and then make a subsequent sale of CDS if credit spreads are expected to narrow. Profit, if any,
from these speculative credit-risk transactions may indeed increase risk of the insurers in light of
a wrong bet.
Consequently, it is an empirical question to examine how the use of CDS through the
application of its features of hedging, replication, and income generation affects insurers’ risk
profile. The objectives of this study are twofold. First, we use both Life and PC insures as net
buyers and sellers to examine the effects of CDS on three types of risk: total risk, idiosyncratic
risk and systematic risk. Life insurers’ liabilities have a longer maturity and thus a greater
duration mismatch risk. With such different underwriting skills and investment portfolios, Life
and PC insurers may utilize CDS to manage their balance sheet differently. We therefore
distinguish Life insurers from PC insurers in our analysis.3
Second, we evaluate the effectiveness of CDS using an outcome evaluation approach.
That is, we investigate the effect of credit derivatives on three performance measures of an
insurer: Tobin’s q (TQ), the market value of equity to book, and the return of asset. These
measures capture the different goals of using the CDS.
The relationship between firm risk and the use of CDS may be endogenous, which has been
raised in the earlier literature (e.g., Graham and Rodgers, 2002). To this end, we tend to mitigate
model biases arising from the issue of endogeneity using a simultaneous-equation model that is
estimated by a generalized method of moment (GMM) method. Our results show that for both
samples of Life and PC insurers, CDS participations consistently increase their total risk,
idiosyncratic risk, and market risk. In addition, life insurers’ participation positions as net sellers
also increase each dimension of risk and the results are mostly similar to PC net sellers except no
significant effects on market risk. To our surprise, insurers acting as CDS net buyers, each type
of firm risks (total risk, beta risk or idiosyncratic risk) is increased, especially for the sample of
PC insurers. Net-buyer CDS positions taken by Life insurers have marginally significant effect
on increasing market risk, but not on total and idiosyncratic risk. As CDS protection purchase
3 The existing insurance literature commonly discusses these two types of insurance companies separately for their underwriting, investing, or risk managing activities. For example, Cummins et al. (1997) discuss the different use of derivatives by life and PC insurers and find that the percentages of life and PC insurers engaging in derivatives transactions are 7% and 12%, respectively. In addition, according to the NAIC SVO report (2007), the investment portfolio of life insurers consists of 76.1 percent of total invested assets in 2006, while property/casualty insurers allocate 62.1 percent of their assets to bond holding.
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can embed both hedging and replication features, our results suggest that the increase in risk
through replication dominates the risk reduction from hedging, thereby leading to an overall risk
increase for CDS net buyer position.
In terms of the effects of CDS utilization on insurers’ firm performance, the extant literature
has shown mix results on the usage of financial derivatives. Our results suggest that CDS
participation and participation positions reduce firm value for both Life and PC insurance
samples. In particular, Life insurers, as net buyers of their CDS participation and their
participation positions reduce their market-based firm performance (Tobin’s Q and ratio of
market to book value of equity) and also accounting-based firm performance— return on assets.
Net sellers do not show significant lower firm performance. PC insurers, on the other hand,
show lower Tobin’s Q and market to book value of equity for both net CDS buyers or sellers.
This study demonstrates that CDS utilization adversely increases Life and PC insurers’ risk
profile and reduces firm performance. Our findings support the ongoing effort of the National
Association of Insurance Commissioners (the “NAIC”) to reexamine the role of insurance
regulators who must monitor closely insurance companies that engage in derivative transactions.
While insurance companies are primarily regulated at the state level, our results confirm the need
of an amended regulation for derivatives from NAIC as a national standard to be implemented by
all states.
The rest of the paper is organized as follows. The literature and related hypotheses are
summarized in Section 2. Data description and the construction of variables are illustrated in
Section 3. Section 4 presents methodology application and empirical findings. The last section is
the conclusion.
2. Literature and Model Development
2.1 CDS and Risks
Many theoretical studies (e.g., Stulz, 1984; Smith and Stulz,1985) have shown that, in the
presence of market imperfections such as taxes, financial distress costs and agency conflicts,
companies are motivated to adopt corporate hedging policy. However, the existing literature
show mixed empirical results for the effects of derivative applications on the firm’s risk.
Hentschel and Kothari (2001) use a panel of 425 large U.S. firms as a research sample and do
not detect an economically or statistically significant relation between firms' risk characteristics
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and the extent of their participation in derivatives markets, concluding that derivative use does
not measurably increase or decrease firm’s return volatility. Adam and Fernando (2006)
examine a unique database that contains gold derivatives positions for a sample of 92 North
American gold mining firms from 1989 to 1999. They conclude that derivatives usage has no
measurable impact on exposure or volatility.
A different line of research provides evidence that the derivative use can increase or decrease
risks. DeMarzo and Duffie (1992), and Froot, Scharfstein, and Stein (1993), among others,
construct models of corporate hedging, predict firms to reduce the risks if they have poorly
diversified and risk-averse owners, suffer large costs from potential bankruptcy, or have funding
needs for future investment projects in the face of strongly asymmetric information. Such risk
reduction can be achieved through derivatives. Tufano (1996a) conducts a detailed study of risk
management in the gold mining industry and find evidence supporting the hypothesis that firms
in the gold mining industry use derivatives to reduce risks. The primary motivation for this
hedging seems to be managerial and owner risk aversion.
Firm owners might use derivatives to take on additional risks because of agency problem.
Jensen and Meckling (1976) and Myers (1977) point out that the owners of leveraged firms can
have incentives to increase the firms' riskiness to transfer wealth from bond holders to stock
holders. Froot and Stein (1998) find that active risk management can allow banks to hold less
capital and to invest more aggressively in risky and illiquid loans. Cebenoyan and Strahan (2004)
find that actively managing credit risk through loan sale allows banks to have lower risk-adjusted
capital than banks that don’t actively manage their credit risk. These studies suggest that active
users of credit derivatives may have incentives to reduce capital and increase their holdings of
risky loans. Instefjord (2005) argues that the risk sharing benefits from credit derivatives may
encourage banks to take more risk, thus creating a potential for greater bank instability. Morrison
(2005) finds that credit derivatives could reduce banks’ incentives to monitor their loan portfolios.
In addition, Shao and Yeager (2007) conclude that the use of CD increases overall risk for a
sample of U.S. bank holding companies between 1997 and 2005 by showing that credit
derivatives usage motivates BHCs to shift from safer loans to riskier ones.
In light of the insurance literature, the study on the use of CDS is limited. This study intends
to bridge this gap by examining the effects of CDS on risk characteristics of both Life and PC
insurers in three dimensions: total risk, systematic (market) risk, and idiosyncratic risk. Using
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total risk allows us to capture the overall risk profile of an insurer after identifying individual risk.
The examination on market risk is to capture the market responses to insurers’ participation in
CDS. Instefjord (2005) argues that when the credit markets are highly price-inelastic, the
systemic risk is also likely to decrease with an access to a richer set of credit derivatives,
particularly when the benefits to consumers of credit are low. Consequently, it is of interest to
examine the effects of CDS on insurers’ systematic risks. Idiosyncratic risk reflects the
firm-specific risk profile. Low idiosyncratic risk implies large information asymmetry and
opaqueness (Bali et al., 2005; Durnev, 2004; Morck, 2000). It is important to examine how CDS
utilization affects idiosyncratic risk because the literature has raised its concern on the
information flow and opacity problems embedded in CDS (Acharya and Johnson, 2007, Nicolo
and Pelizzon, 2008). Nicolo and Pelizzon (2008) indicate that the recent sub-prime crisis has
highlighted the growth in volume and diversity of credit derivative products, which do not
appear to mitigate the problem of the transparency in the insurance markets. Acharya and
Johnson (2007) reports significant incremental information revelation in the credit default swap
market; however, the early detection of credit risk in the CDS market is often attributed to insider
trading by large institutional investors with information advantage. It is possible that insurance
companies may have sophisticated skills and resources to obtain and process information.
However, insurance industry may have an information disadvantage on the transactions
compared to bank holding companies, which are likely to have insider information on the
reference entity. Thus, through the idiosyncratic risk analysis, this study intends to explicitly
investigate the information asymmetry issue in insurance industry.
Buying CDS protection intuitively is to reduce credit risks. It is an empirical question on
whether the reduction in credit risks can be transferred into the reduction of firm’s overall risk,
market risk or firm-specific risk. As developed in Fairley (1979), insurers may set up a target
firm risk-level, which is a result of the tradeoff between the risks inherent inside the insurer.
Therefore, we conjecture that it is likely that given a maintained target risk level, the reduction in
credit risks through CDS protection purchase may simultaneously increase insurer’s capacity to
take more other risks (other than credit risks).
Specifically, we examine (1) whether purchasing CDS protection to reduce credit risk can
simultaneously reduce insurers’ overall risks or otherwise, (2) whether the market can recognize
the reduction of credit risks attributed to CDS protection purchase and thus reflect in the
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reduction of systematic risks or the market prefers insures not to hedge credit risks so that the
reduction of credit risks is transferred to higher systematic risks, and (3) whether purchasing
CDS protection signals the investors the opaqueness on the risks embedded inside the firm
thereby reflecting on higher level of information asymmetry, namely, lower idiosyncratic risk or
otherwise.
Selling CDS protection is expected to increase insurers’ exposure to credit risks. Hopman
(2007) points out that insurance companies have been carrying significant credit risks because of
the investment portfolio and thus selling CDS protection is simply an extension of credit risks to
insurance companies. As a result, insurance companies that engage more on selling CDS
protection can be viewed as an alternative way of taking extra credit risks. The regulators
consider insurers’ use of replication as being speculative and thus require higher regulatory
capital level for the added risk. This line of research suggests that selling CDS would increase
insurers’ risks.
While it is intuitively to link CDS sell positions to the increase of risk, engaging in CDS sell
position can possibly reduce firm risks from the asset replication feature embedded in CDS as
argued in Goldfried (2003) that credit derivatives allow insurers for precise portfolio
management, risk mitigation, and for optimal capital management. Credit derivatives enables
insurers to create a security structure similar to the corporate bonds by taking a short position in
CDS provided the fact that the existing bonds may not provide adequate flexibility to the insurers
for duration consideration.4 As a result, they may benefit from the CDS asset class.
Therefore, it is a matter of empirical question on how insurer’s risk profile is affected
through the utilization in CDS sell position. We examine specifically whether taking CDS sell
position increases or decreases the three measures of risk: total risk, systematic risk, and
idiosyncratic risk.
2.2. CDS and Firm Value
CDS is a special type of general derivatives for risk management. The existing literature,
however, has also provided mixed evidences of the effects of derivatives on firm value.
4 Insurance company may use credit derivatives to diversify their credit risks by selling CDS contracts in the two-, three-, five- or 10-year maturities or in names that do not trade in the bond or cash market. Thus, engaging in CDS transactions enables insurers to have access to duration management that might not be available in the cash market in achieving a more effective asset/liability management.
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Apparently, risk management policies could be relevant to firm valuation under an imperfect
market.
One line of research supports value creation. For example, the study by Mackay and Moeller
(2007) finds that risk management can increase firm value if the cost and revenues functions are
not linearly related to input and output prices. Focusing on hedging specific risks and on specific
financial instruments, Smithson (2005) finds that the management of interest rate and foreign
exchange risks adds value to the firm and Alyanis and Weston (2001) conclude that users of
foreign currency derivatives have higher market value than those non-users. In addition, the
research on specific industry’s risk management provides similar conclusions. For example,
Dionne and Triki (2006) study gold mining industry and find that hedging increases returns on
asset. In addition, Nelson et al. (2005) examine non-financial firms hedging behaviors and
conclude that hedgers with derivatives outperform non-hedgers.
The other line of research provides no evidence of firm value creation. In particular, Adam
and Fernando (2006) find no evidence that the use of derivatives has increased the systematic
risk for the firms in their sample, thereby implying no benefit to shareholder value from
derivatives transactions. Jin and Jorion (2006) use oil/gas producers as a research sample and
show that hedging has no significant effects on increasing firm value. Moreover, Shao and
Yeager (2007) use bank holding companies as research sample and find that their use of
derivatives increase risks and lower return.
These above studies use specific industry as research sample to examine the effects of
specific instruments of risk management on examining firm value creation or firm value
reduction hypothesis. Our study specifically uses insurance industry to examine the effects of
CDS on firm value. Using single homogenous insurance industry as compared to a sample of
U.S. multinationals lessens the possibility of spurious results from confounding factors. In
recognizing the differentia of underwriting operations between Life and PC insurers, we analyze
their CDS utilization separately. In sum, we investigate the effects of CDS utilization on
financial performance based on the measures of Tobin’s Q, a market-based firm value measure,
and on the measure of return on assets (ROA), an internally accounting-based profitability
measure.
3. Data and Variable Construction
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3.1 Data and Sample Selection
As a highly-regulated industry, insurers are required to report their investment activities
including derivatives use to the National Association of Insurance Commissioners (NAIC). The
detailed nature of the reported data on CDS utilization provides a unique opportunity for
analyzing insurers’ practices of credit derivatives and evaluating the effects on their risks and
firm values. We compiled the data from the regulatory annual statements filed by insurers with
the National Association of Insurance Commissioners (NAIC) for the period from 2001 to 2007.
Insurers mainly practice credit derivatives for risk swap and asset replication. Detailed
information on the use of credit derivatives can be found in Schedule DB. From which, we
manually identify the transaction information on CDS positions for purchasing CDS protection
or selling protection. Moreover, the following trading information can be handily collected : the
notional amount, date of opening position, date of termination date, date of maturity,
consideration received or paid, gain (loss) on termination, and individual within-year and
year-end transactions volume. We conduct the analysis based on individual firm-level data.5 To
our best knowledge, no prior study has done such a detailed examination on how insurers apply
credit default swaps and investigating the effects of CDS utilization and participation positions
on insurers’ risk profile and firm value.
To analyze the effects of CDS use on risks and firm value by controlling firm-specific
characteristics, we compile the data from CRSP and CompuStat databases and merge them with
CDS data for the period from 2001 to 2007. The merged dataset results in 44 distinct insurers
identified as CDS users including 11 PC insurers and 33 Life insurers. In addition, we also
include those publicly-listed insurers with no CDS activities in our sample. The final sample size
is with 85 and 127 distinct Life and PC insurers, respectively and their respective firm-year
observations are 427 and 666. When each CDS transaction is viewed as an individual
observation, the total number of firm-year-transaction observations of the life insurer sample is
4,889 and 1,639 for PC insurers.
3.2 Variable Construction
3.2.1 CDS Variables
5 Many insurers are members of groups that operate under common ownership. Cummins et al. (1997, 2001) found that the group level analysis group level analysis provided virtually no information concerning the derivatives participation decision and thus may loss importance information.
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We use a dummy variable, CDS_Dummy, which equals to 1 if the CDS activity is identified
and 0 otherwise to proxy for CDS participation. We measure the extent of CDS participation by
the notional amount of CDS positions held at year end on insurers' annual statement to measure
the transaction volume engaged. We further create two separate dummy variables, Net_Buyer
and Net_Seller based on the annual aggregate notional amount in Buy and Sell position. An
insurer is indentified as a net buyer (i.e., Net_Buyer = 1) if the aggregate notional amount of
CDS buy positions is greater than that of CDS sell positions and zero elsewhere. A net seller (i.e.,
Net_Seller = 1) is denoted as its aggregate notional amount of sell positions is greater than the
buy positions. To control for the effects from CDS position changes, we use a CDS_Change as a
dummy variable with its value equals to 1 if insurers change their CDS position from (1) CDS
users to non-users, (2) from net-seller positions to net-buyer positions, or (3) from net-buyer
positions to net sellers. Spread_Vol measures the volatility of daily CDS spread.
3.2.2 Risk Variables
To obtain risk measures, we first estimate the capital asset pricing model (CAPM) for each
of the firms in our sample. The market risk is the beta coefficient estimate from the following
regression model:
rj,t – rf,t = αj,t + βj,t×(rm,t – rf,t) + εj,t (1)
where rj,t is firm j's monthly return at time t; rm,t is a value-weighted average market return; and
rf,t is the risk-free rate. Our estimation is based on a rolling regression model over a five-year
period. The regression coefficient, β, from the regression model represents the market risk.6 The
total risk is the total standard deviation of monthly returns while the idiosyncratic risk is the
standard deviation of residuals from the regression model.
3.2.3 Performance Variables
We apply Tobin’s q (TQ) as a market-based measure of firm value and also use an
accounting-based internal profitability measure of return on asset (ROA) to examine the
6 Some previous studies on insurer risk-taking employ the NAIC database or AM Best reports to compute asset risk, product risk, and portfolio risk (Cummins and Sommer 1996; Baranoff and Sager 2002). However, our study extracts market-based variables such as stock returns from publicly-traded insurance companies, hence the utilization of market-based risk is more appropriate for this research. Moreover, the use of market-based risk measurements such as total risk and residual risk captures the overall risk profile as well as the firm-specific risk profile of the insurers.
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relationship between the financial performance and CDS transactions. In addition, we use the
ratio of market value of equity to book value of equity (MV(Eqty)_BV(Eqty)) to measure firm
performance. That is, we test whether the market rewards the insurers on their use of CDS.
Tobin’s q (TQ) is a market-based proxy for firm value and is defined as the market value of
equity plus the book value of liabilities divided by the book value of assets, i.e.,
)(
)()()(
assetstotalBV
equitycommonMVequitycommonBVassetstotalBVTQ
(2)
where MV (common equity) is the product of the stock price and the number of shares
outstanding. This measure has been widely used in the existing literature to measure the
value-effects of factors (Yermack, 1996; Morck, Schleifer, and Vishny, 1988; Servaes, 1996;
Smithson and Simkins, 2005;Cummins, Lewis, and Wei, 2006; Jin and Jorin, 2006). Tobin’s Q is
used in our study to measure the financial performance because it can reflect future expectations
of investors. Cummins et al. (2006) contend that this version of Tobin’s Q is appropriate for
insurance companies because the book value of their assets is a much closer approximation of
replacement costs than would be the case for non-financial firms.
4. Methodology and Empirical Results
4.1 Descriptive Statistics
Table 1 shows a summary of CDS transaction activities of Life insurers in Panel A and PC
insurers in Panel B. For the Life insurers, the frequency of CDS participation is about 21.78%,
among which, about 30% are net buyers and 70% are net sellers.7 On the other hand, for the
sample of PC of insurers, CDS participation is about 5.86% in which 64% and 36% are
net-buyers and net-sellers respectively. This provides preliminary evidence supporting that (1)
life insurers are more active in CDS utilization and (2) life insurers tend to participate in CDS
transactions as net sellers that PC insurers, which tend to be net buyers. In addition, among all
the 4889 CDS transactions over the sample period, 30% and 70% are for buy and sell
transactions, respectively for Life. Among all the 1639 CDS transactions for PC, the respective
percentages for buy and sell transactions are 68% and 32%. In terms of the notional amount of
7 Among 427 (666) observations for life (PC) insurers, 93 (39) are the observations for CDS users over the sample period and of which 28 (25) are for net-buyer and 65 (14) are for net-sellers.
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CDS transactions, each transaction is about $15 million dollars for Life insurers and $23 M for
PC. The aggregate notional CDS amount to total asset is 0.40% for Life and 0.60% for PC.
Table 2 presents the descriptive statistics of the three risk variables and other control
variables used in the analysis. Panels A and B are for the samples of Life and PC insurers that
include both CDS users and non-users. Panel A shows that, for the Life insurers on average,
the idiosyncratic risk is 0.099, the systematic risk is 0.713, and total risk is 0.104. For the PC
insurers, the mean values for idiosyncratic risk, systematic risk, and total risk are 0.095, 0.679,
and 0.100, respectively. Tobin’s q, on average, is 1.15 units for Life insurers and 1.10 units for
PC insurers. In terms of profitability, the mean value of ROA is 3.7% for Life insurance and
3.4% for PC. On average, Life insurers have a higher total risk, systematic risk, and idiosyncratic
risk than that of PC insurers. In addition, both market-based firm value (Tobin’s Q) and
accounting-based internal performance (ROA) are larger in the sample of Life insurers than PC.
[Insert Table 2 here]
Table 3 compares medians and means of the risks, the firm value, and other firm characteristics
variables between insurers who are CDS users, CDS net buyers, and CDS net sellers and those
insurers who do not participate in CDS at all. Panels A and B report the comparison results for
the samples of Life and PC, respectively.
Panel A shows that Life insurers with CDS transactions, on average, have a larger
systematic risk, lower idiosyncratic risk, and lower total risk than those of non-CDS users. On
average, the values of systematic risks are greater for CDS users (0.861) than non-users (0.671),
while the average total risk (0.11) and idiosyncratic risk (0.105) for non-CDS users are larger
than the corresponding figures of CDS users (0.085 and 0.077). In addition, non-CDS users
have larger Tobin’s Q and return on asset than CDS users. Particularly, the average value of
Tobin’s Q is 1.183 for non-CDS users and 1.033 for CDS-users.
The Tobin’s Q for net-buyers is at an average value of 1.018 and for net-sellers is, on
average, 1.042, both of which are smaller than that of non-CDS users with an average value of
1.183. As expected, CDS users, on average, are large Life insurers with a firm size (natural
logarithm of total assets) of 11.18 compared to 9.03 for non-CDS users. In addition, CDS life
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insurers are with a higher financial leverage, a lower investment opportunity and a larger
proportion of short-term debts.
[Insert Table 3 here]
Panel B of Table 3 shows the comparison results between users and non-users for PC
insurers. The total risk of the CDS users is similar to the non-CDS users. CDS-users in PC
sample have higher systematic risk and lower idiosyncratic risk than those of non-CDS users. In
particular, the average values of systematic risks are 1.37 and 0.64 for CDS users and non-users,
respectively; in addition, the respective mean values of idiosyncratic risks are 0.086 and 0.096.
In addition, consistent with Life sample, net buyers of PC sample have significantly lower
idiosyncratic risk (0.080) and insignificantly smaller total risk (0.098) than those of non-CDS
users. On the other hand, net sellers of PC insurers show significantly higher idiosyncratic risk
(0.108) and significantly larger total risk (0.118) than those of non-CDS users with the respective
values of 0.096 and 0.099.
The firm value comparison between CDS users and non-users of PC sample also show
consistent conclusions as discussed in Life sample. CDS users of PC sample have lower
Tobin’s Q and lower ROA than those of non-users. The respective mean values of Tobin’s Q and
ROA are 1.01 and 2% for CDS users compared to the values of 1.10 and 4% for non-users.
Moreover, CDS net buyers and net sellers also have lower market-based firm value and
accounting-based firm performance than those of non-users.
Univariate analyses for both Life and PC insurers reveal several findings. First, there is a
positive relationship between insurers’ market risks and CDS participation and CDS net-buyer
positions, i.e., CDS users or net buyers have higher market risk than non-CDS users. Second,
there appears to have a negative relationship between CDS utilization and total risk and
idiosyncratic risk. That is, CDS users or net buyers have lower total and idiosyncratic risks
than non-users. Finally, a lower firm value appears to be associated with more CDS utilization.
A non-tabulated univariate correlation analysis shows a positive correlation between CDS
utilization and market risk, but a negative correlation of CDS use with total risk, idiosyncratic
risk, and firm market value. The following sections are to examine the relationships on a
multivariate basis.
15
4.2 Multivariate Regression Models
We first examine the risk-CDS relation under a multivariate framework by controlling the
firm-specific characteristics. To mitigate the bias arising from the endogeneity between risk and
CDS utilization, we use a simultaneous equations model to investigate the relationships between
risks and CDS participation and the participation positions as either net sellers or net buyers.
4.2.1 Simultaneous Equations Model on Risk Analysis
Under a simultaneous framework, we examine the relationship between the risk level and
CDS participation (and participation positions) of insurers after controlling for the firm
characteristics. The use of simultaneous equations, as compared to independent OLS regressions,
is more appealing for the following reasons. First, the literature suggests potential endogeneity
between risk and CDS utilization and therefore a joint determination of these variables should be
simultaneously determined (Note: Literature references needed here, Gaiyan). Second, from the
econometrics theory, simultaneous equations are appropriate when the endogenous variables are
jointly determined, and the interactions of key variables have significant implications for the
parameters estimation. CDS utilization may constrain insurers’ risk-taking level due to regulatory
consideration and may also potentially lead to a higher level of risk-taking for income
enhancement purpose. Regulatory capital requirement may limit insurers to use CDS and
motivate the use of CDS for hedging and asset replication purposes.
The simultaneous equations model is described in Equation (3) and Equation (4)
representing the risk equation and the CDS equation, respectively. We estimate the system of
equations with the generalized method of moments (GMM) using the exogenous variables as
instruments in the moment conditions as follows.8
8 Note that other instrumental variables techniques, such as two-stage least squares (2SLS), are special cases of GMM. For example, in comparison with 2SLS, Greene (2002) and Kennedy (2003) observe that are more efficient than 2SLS estimates when regression errors are heteroskedastic and/or autocorrelated, and that GMM estimates coincide with 2SLS estimates otherwise. Thus, GMM ensures that the standard errors of the estimates are heteroskedasticity and autocorrelation consistent. Finally, note that we do not report the R2s for our estimated equations, since as Goldberger (1991) observes, there is no guarantee that the R2s reported in system estimation techniques lie between zero and one. Unfortunately, there is no widely accepted goodness of fit measure for nonlinear system estimation.
16
Riski,t= α1 + β1,1 ×CDSi,t + tii Z ,,1 + β1,2 ×Div_yieldi + β1,3 ×CDS_Changei,t +
β1,4 ×Spread_Volti,t + ε1,i,t (3)
CDSi,t= α2 + β2,1 ×Riski,t + tii Z ,,2 + β2,2 ×NY_Dummyi,t + β2,3 ×CDS_Changei,t +
β2,4 ×Spread_Volti,t +ε2,i,t (4)
where Risk represents insurers’ risk profile characterized by total risk, systematic risk, and
idiosyncratic risk. The estimation procedure of each risk measure has been stated in Section 3.
CDS represents CDS-related dummy variables that depict insurers’ participation in CDS
transactions (CDS_Dummy), their participation positions as net buyers (Net_Buyer), or the
positions as net sellers (Net_Seller). The definition of these CDS variables is described as
follows:
CDS_Dummyi,t = 1 if insurer i participates in CDS transactions in year t and zero elsewhere;
Net_Buyeri,t = 1 if the aggregate notional amount of CDS buy position is greater than that of
the sell position for insurer i in year t and zero elsewhere;
Net_Selleri,t = 1 if the aggregate notional amount of CDS sell position is greater than that of
buy position for the insurer i in year t and zero elsewhere;
For model identification purposes, Div_yield defined as dividend yield is included in the
risk equation, but not in CDS equation; State_Dummy is included in CDS equation, but not in
risk equation and it is defined as a dummy variable equals to 1 if the insurer i operates in the
New York State. The model has also controlled for time effects. Because the regressions involve
multiple years, we also include annual dummies. For space consideration, the estimates of these
time-effect variables are not reported.
In the risk equation (equation (3)), the coefficients of CDS participation and the net position
of CDS are of interest. The extant literature (e.g. Instefjord, 2005; Morrison, 2005; Shao and
Yeager, 2007) suggests risk-taking behaviors to be observed from the use of CDS; that is a
positive coefficient of CDS_Dummy in the risk equation. On the other hand, risk-hedging
hypothesis suggests a negative coefficient. Extending this line of research, our study takes one
step further to distinguish the effects of taking CDS protection from the effects of writing CDS
protection. In addition, to control for effects from CDS participation change or position change,
we include the variable CDS_Change, which is defined as a dummy variable with a value of 1 if
17
CDS participation is changed from a participation position to a non-participation or when the net
position of CDS is reversed. Moreover, Spread_Volt presents the volatility of daily CDS spreads
over a year to control for the changes in credit market conditions.
In the CDS equation (equation (4)), the coefficients of risks, are to examine how insurer’s
risk characteristics affects their decision on CDS use as either net buyers or net sellers. (Any
references or literature suggest the effects of risk on CDS participation??)
The definition of each control variable is illustrated as follows. Firm size, measured by
the natural logarithm of the book value of assets, is used to control for the firm size effect.
Leverage measures the capital structure of the insurers and is defined as the ratio of long-term
debt plus preferred stock over long-term debt plus preferred stock plus common equity to total
assets (i.e., leverage to market value of assets).9 Debt_maturity is the portion of short-term debt
measured by the ratio of short-term debt with maturity less than three years to total debt and it is
to measure the debt characteristics of the insurers. Investment opportunity is to control the
growth opportunity of the firm, which is defined as net capital expenses to assets. Rating
measures the risk class of the insurers and is based on S&P issuer credit ratings to classify firms
into investment and speculative grade to measure the credit risk and the unrated firms are
included in the speculative grade. Sale growth represents the growth of sale.
4.2.2 Empirical Results
Total Risk Model
For Life insurers, their participation in CDS transactions increases total risk at the 1%
significant level as shown in Panel A1 (for the risk equation) of Table 4. In terms of the effects
of participation positions, the total risk is positively and significantly related to the net sellers
dummy variable (0.148 with a t-value of 2.64). While buying CDS protection appears to reduce
credit risks, the effect of net-buyer positions is negative but insignificant (-0.068 with a t-value
of -1.04) on total risk, while net sellers do increase Life insurer’s risk.
In the CDs equation, CDS use and participation positions are positively and significantly
related to the total risk factor, with a coefficient of 7.504 (t-value of 3.79) for the overall result, a
coefficient value of 1.844 (t-value of 1.87) for the net buyers, and a coefficient estimate 5.398
(t-value of 3.18) for the net sellers, confirming the presence of endogeneity relations between
9 Results are robust when the leverage variable based on book asset value is used.
18
CDS and risks identified in the model.
[Insert Table 4 here]
CDS_Change, a change in CDS position, does not appear to affect the total risk
significantly. Total risk is positively and significantly related to investment opportunity
measured by the capital expenditure with a coefficient value of 0.015 (t-value = 4.04) and
leverage (0.122; t-value = 4.05), but negatively and significantly related to firm size (-0.017 with
a t-value of -4.36), dividend yield (-0.023 with a t-value of -2.17) and firm rating (-0.02 with a
t-value of -2.77) for the overall sample. The results are robust across the overall sample,
net-buyer or net-seller samples.
The results for PC insurance sample shown in Panel B1 are similar to those for Life
insurance sample but net buyers or net sellers in CDS transactions show a stronger and
significant negative effect on total risk.
Idiosyncratic Risk Model
Panel A2 of Table 4 reports the results of idiosyncratic risk model for the life insurers.
Similar to the total risk results, the idiosyncratic risk (IR) is positively and significantly related to
the participation of life insurers in CDS transactions with a coefficient value of 0.056 at the 10%
significant level. Taking CDS positions as net sellers also has a positive and significant effect on
IR with a coefficient value of 0.114 at the 5% level. A higher idiosyncratic risk represents a
larger degree of information revealed to the market (Bali et al., 2005; Durnev, 2003) and thus
less information opaqueness. Therefore, the increased idiosyncratic risk through the participation
and participation positions of CDS transactions suggests that investors interpret them as a signal
to identify the higher degree of information revealed to the market by Life insurers that may not
be identified earlier by investors.
For the PC insurance sample, Panel B2 shows that idiosyncratic risk (IR) is positively and
significantly related to not only CDS participation, but also for both samples of net buyers and
net sellers, indicating that the use of CDS indeed increases IR.
For the CDS equation, results show that for PC insurers, IR increases CDS participation and
position as net buyers, but not as net sellers. On the other hand, for Life insurers, IR increases
19
CDS use as well as the positions as net sellers, whereas not for the positions as net buyers.
Market Risk Model
Panels A3 and B3 of Table 4 shows the results of market risk models for Life and PC
insurers, respectively. As shown in Panel A3, Life insurers’ participation in CDS and their
participation as either net buyers or net sellers consistently and significantly increase the market
risk. However, for the PC insurers, their CDS participation has no significant effects on market
risk. Their participation positions as net-buyer show significant and positive effects on market
risk. Compared to other risks, market risk of Life insurers is more sensitive to the firm’s CDS
participation as well as participation positions regardless of net-buyer or net-seller position. Such
observations specific to Life insurers are consistent with the findings in Instefjord (2005) arguing
that the engagement in CDS transactions (either buy or sell) is harmful to Life insurer’s
systematic risks.
4.3 Performance Analysis
The next research question is to investigate whether these effects of CDS on risks can be
transferred to firm value enhancement or, on the other hand, value reduction. To this end, we
conduct a multivariate regression analysis based on equation (5) in which the dependent variable
is to measure firm value. CDS participation that increases risk (particularly the market risk)
may suggest that shareholders would require a higher cost of capital and thus triggers a lower
market value.
Our data is a pooled time-series and cross-sectional unbalanced panel data, which are likely
to firms clustering together. CDS trading volumes may also be correlated across insurers for a
given year, therefore, we also need to correct for the time effects. As a result, we follow Petersen
(2009) to adjust for insurer-clustering effects and time varying effects. In addition, the regression
model involves multiple years and thus we also include annual dummies, which are not reported.
Performance = α0 + βj ×CDSi,t + βk ×CDS_Changei,t + βl ×Spread_Volti,t + tii Z , + εi,t (5)
We use two main variables to proxy for firm value/performance measure, which are Tobin’s q
and return on asset (ROA), representing an insurer’s market-based firm value and
20
accounting-based internal firm performance, respectively. CDS represents the sane
CDS-related variables, defined earlier. Similarly, firm-specific characteristics are also discussed
earlier.
Panels A1, A2, and A3 of Table 5 show the results of Tobin’s q, Market to Book value of
equity, and ROA measures for Life insurance sample, while Panels B1, B2 and B3 present the
results for the PC insurers. Each Panel also summarizes the effects of CDS utilization and
participation positions as either net buyers or net sellers on firm performance.
Panels A1, A2 and A3, for Life insurers show that CDS utilization has significant and
negative effects on market-based firm value and on ROA. Specifically, Tobin’s Q is negatively
and significantly related to CDS participation (-0.059 with a t-value of -1.99) and to CDS
net-buyer positions (-0.078 with a t-value of -2.01), while insignificantly related CDS net-seller
positions (-0.043 with a t-value of -1.45). ROA is negatively and significantly related to CDS
dummy for the overall sample (-0.013 with a t-value of -2.22), for the net-buyer sample (-0.012
with a t-value of -0.012 with a t-value of -1.75) and for the net-seller sample (-0.010 with a
t-value of -1.66).
Results suggest that the market does not reward Life insurers for the hedging, replication or
income generation feature embedded in CDS utilization that are intended for diversifying credit
risk or replicating asset. Particularly, CDS protection purchase for hedging purpose does not
confer a special advantage to insurers it is likely due to the fact that well-diversified investors
can hedge on their own. That is, the credit risk exposure embedded in life insurers’ asset
holding can be diversified away by individual investors. This finding pertains to the conclusion
in Adam and Fernado (2006), Jin and Jorion (2006), and Shao and Yeager (2007) that risk
management is irrelevant to firm valuation drawn.
Life insurers writing CDS protection for taking more credit risks could be for the purpose of
income generation or asset replication, but none of these features is recognized for value creation.
Life insurers acting as CDS net sellers increase their exposure to credit risks, which increases life
insurance firms’ total risk and market risk. The combined effects of Life insurers’ CDS
participation as net sellers on firm’s risk characteristics result in an insignificant effect on their
firm value. Moreover, selling CDS protection carries the benefits of income generation and asset
replication with greater liquidity and flexibility. The insignificant effects of net-seller positions
on firm value suggest that such benefits are not explicitly transferred into firm value creation.
21
[Insert Table 5 here]
The results for the sample of PC insurers are shown in Panels B1, B2 and B3. Consistent
with the results for Life sample, Tobin’s q and the ratio of market value to book value of equity
of PC are negatively related to CDS dummy across the overall sample, net-buyer and net-seller
sample. The coefficients are negatively significant at the 1% level. On the other hand, the
accounting-based internal performance measure ROA shows an insignificant result.
It is noteworthy that for PC insurers CDS position change variable appears to have
significant and negative effects on the market value of the firm and ROA, whereas shows
insignificant effects for Life insurers. The results indicate that PC insurers are not particularly
appropriate for using CDS from the perspective of the firm profitability and preference of
stockholders. (Hung-gay: Can you illustrate more on this point? I do not quite follow this.)
Taken together, for both Life and PC insurers, CDS participation consistently reduces the
firm values. The result suggests that regardless of the discrepancy of underwriting and
investment behaviors between Life and PC firms, the market consistently consider the CDS
participation and the change of CDS positions (either as net buyers or net sellers) as a
value-reduction mechanism.
5. Conclusions
This study uses a unique data set of the insurers to examine the effects of credit default swaps
(CDS)on the risk profile and financial performance of the insurance companies from 2001 to
2007. To this end, we apply a simultaneous equations model to identify the relationship between
risk and CDS use for the pooled-time-series and cross-sectional insurance data to mitigate the
bias from the endogeneity problem between risk and the use of CDS.
We empirically examine two research questions. First, we use both Life and PC insures as
research samples to examine whether CDS participation and participation positions as net buyers
or net sellers have significant effects on three types of risk: total risk, idiosyncratic risk and
systematic risk. Second, we investigate how firm performance responds to the use of CDS and its
positions. Firm performance is based on the measures of an insurer using Tobin’s q (TQ), market
value of equity to book value, and return of asset.
Our results demonstrate that for Life and PC insurers, CDS participations consistently
22
increase their total risk, idiosyncratic risk, and market risk. Net CDS sellers of PC insurance
sample show a stronger and significant increase in total and idiosyncratic risks than Life net
sellers, whereas Life net sellers show a stronger increase in their market risk. For CDS net buyers
each type of PC insurance company’s risk (total risk, beta risk or idiosyncratic risk) is
significantly increased. On the other hand, CDS net-buyer positions taken by Life insurers have
marginally significant effect on increasing market risk. While have no significant effects on total
and idiosyncratic risk. As CDS protection purchase can involve both hedging and asset
replication features, our results suggest that the increase in risk through replication dominates the
risk reduction from hedging.
Moreover, we examine the effects of CDS utilization on insurers’ firm performance. Our
results suggest that CDS participation and participation positions reduce the firm values for both
Life and PC insurance samples. In particular, Life insurers acting as net buyers, their CDS
participation positions reduce market-based firm performance (Tobin’s Q and ratio of market to
book value of equity) as well as the accounting-based firm performance— return on assets. Net
sellers of Life insurers, however, do not significantly lower their firm performance. PC insurers,
on the other hand, show consistently a lower Tobin’s Q and market to book value of equity for
both net CDS buyers and sellers, whereas show no significant effects on ROA.
This study demonstrates that CDS utilization alters the risk profile of both Life and PC
insurers in increasing each dimension of risk. At the same time, the financial performance is
reduced consequently. Our findings support the effort of the National Association of Insurance
Commissioners working with the insurance regulators to monitor closely insurance companies
engaging in derivative transactions. While insurance companies are primarily regulated at the
state level, our results confirm the need of an amended regulation for derivatives from NAIC as a
national standard to be implemented by all states.
23
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25
Table 1 Summary of CDS Transactions for Life and PC Insurers
Panel A: Life Insurers
Total
Mean: based on Firm and Year Observations
Mean: based on Number of Transactions
CDS_Transaction (#) 4889 52.57
CDS_Transaction_Buy 1458 15.68 29.82%
CDS_Transaction_Sell 3431 36.89 70.18%
CDS_Notional Amt 74,837,471 804,704 15,307
CDS_Notional Amt_Buy 46,367,856 1,783,379 31,802
CDS_Notional Amt_Sell 28,469,615 424,920 8,298
Panel B: PC Insurers
PC Total
Mean: based on Firm and Year Observations
Mean: based on Number of Transactions
CDS_Transaction (#) 1639 42.03
CDS_Transaction_Buy 1113 28.54 67.91%
CDS_Transaction_Sell 526 13.49 32.09%
CDS_Notional Amt 39,127,542 1,003,270 23,873
CDS_Notional Amt_Buy 35,329,712 1,413,188 31,743
CDS_Notional Amt_Sell 3,797,830 271,274 7,220
26
Table 2 Descriptive Statistics for the Entire Sample (CDS_users & Non_CDS Users)
Idiosyncratic risk (IR) is the standard deviation of residuals from a regression of monthly returns based on capital asset pricing model: rj,t – rf,t = αj,t + βj,t×(rm,t – rf,t) + εj,t; Market risk is defined as the coefficient, β, from CAPM; Total risk is defined as the total standard deviation of monthly returns over months the past five year period. Tobin’s Q is the market value of equity plus the book value of liabilities divided by the book value of assets,
i.e.)(
)()()(
assetstotalBV
equitycommonMVequitycommonBVassetstotalBV
TQ
, where MV (common equity) is the
product of stock price and number shares outstanding; ROA is defined as return on book value asset; Investment opportunity is defined as net capital expenses to assets; Leverage is defined as the ratio of long-term debt plus preferred stock over long-term debt plus preferred stock plus common equity (i.e. leverage to market value of assets); Firm size equals the natural logarithm of book value of assets; Div_yield defined as dividend yield, Debt Maturity is the proportion of short-term debt measured by the ratio of short-term debt with maturity less than three years to total debt; Investment opportunity is defined as net capital expenses to assets, NY_Dummy is defined as a dummy variable with value 1 if insurer operates in New York State. Rating is based on S&P issuer credit ratings to classify firms into investment and speculative grade to measure the credit risk and the unrated firms are included in the speculative grade, and Sale growth (sale_g) is the growth of sale.
Panel A: Life Insurers (N = 427 firm-year)
Panel B: PC Insurers (N = 666 firm-year)
Statistics min max mean median std Statistics min max mean median std
Idiosyncratic Risk 0.030 0.357 0.099 0.087 0.054 Idiosyncratic Risk 0.027 0.340 0.095 0.084 0.050
Market Risk 0.051 2.905 0.713 0.563 0.586 Market Risk -0.145 4.867 0.679 0.578 0.639
Total Risk 0.035 0.366 0.104 0.091 0.054 Total Risk 0.035 0.353 0.100 0.087 0.051
TQ 0.943 1.663 1.150 1.039 0.234 TQ 0.895 1.561 1.099 1.065 0.151
ROA -0.003 0.126 0.037 0.020 0.042 ROA -0.042 0.131 0.034 0.035 0.045
Invest_Opp 0.000 2.549 0.541 0.157 0.782 Leverage 0.000 5.932 0.672 0.344 0.972
Leverage 0.002 0.434 0.149 0.127 0.127 Firm Size 0.000 0.561 0.150 0.121 0.137
Firm Size 6.937 14.254 9.499 9.428 2.050 Dividend Yield 4.763 13.233 8.229 8.042 2.017
Dividend Yield 0.000 0.550 0.142 0.089 0.172 Debt Maturity 0.000 1.696 0.380 0.207 0.464
Debt Maturity 0.000 0.561 0.116 0.000 0.179 NY Dummy 0.000 1.000 0.112 0.000 0.241
NY Dummy 0.000 1.000 0.073 0.000 0.260 Rating 0.000 1.000 0.099 0.000 0.299
Rating 0.000 1.000 0.353 0.000 0.479 Sale Growth 0.000 1.000 0.324 0.000 0.468
Sale Growth 0.880 1.462 1.097 1.069 0.156 Stat 0.679 1.845 1.123 1.081 0.228
27
Table 3: Univariate Comparison of Mean and Median between CDS users, Non-usres, CDS Net Buyers, and Net Sellers Idiosyncratic risk (IR) is the standard deviation of residuals from a regression of monthly returns based on capital asset pricing model: rj,t – rf,t = αj,t + βj,t×(rm,t – rf,t) + εj,t; Market risk is defined as the coefficient, β, from CAPM; Total risk is defined as the total standard deviation of monthly returns over months the past five year period. Tobin’s Q is defined as the market value of equity plus the book
value of liabilities divided by the book value of assets, i.e.,)(
)()()(
assetstotalBV
equitycommonMVequitycommonBVassetstotalBV
TQ
, where MV (common
equity) is the product of stock price and number shares outstanding; Investment opportunity is defined as net capital expenses to assets, Leverage is defined as the ratio of long-term debt plus preferred stock over long-term debt plus preferred stock plus common equity to total assets (i.e., leverage to market value of assets), Firm size is measured by the natural logarithm of the book value of assets. Div_yield defined as dividend yield; Debt_maturity is the portion of short-term debt measured by the ratio of short-term debt with maturity less than three years to total debt, NY_Dummy is defined as a dummy variable with value 1 if insurer i operated in New York State. Rating is based on S&P issuer credit ratings to classify firms into investment and speculative grade to measure the credit risk and the unrated firms are included in the speculative grade, and Sale growth is defined as the growth of sale. Mean difference test between CDS users and non-users is based on t-statistics and median difference test is based on Wilcoxon statistics. ***,** and* denote significance at the 1%, 5%, and 10% levels, respectively.
28
Panel A: Life Insurers (N = 427)
(1) CDS User
(2) None User
(3) Net
Buyer
(4) Net
Seller (1) - (2) (3) - (2) (4)-(2)
(1) CDS User
(2) None User
(3) Net
Buyer
(4) Net
Seller (1) - (2) (3) - (2) (4)-(2)
Statistics mean mean mean mean mean mean mean median median median median median median median
Idiosyncratic Risk 0.077 0.105 0.091 0.072 -0.028 *** -0.014 *** -0.033 *** 0.062 0.091 0.068 0.060 -0.029 *** -0.022 *** -0.030 ***
Market Risk 0.861 0.671 0.935 0.859 0.190 *** 0.264 ** 0.188 *** 0.759 0.496 0.759 0.826 0.263 *** 0.263 ** 0.331 ***
Total Risk 0.085 0.110 0.100 0.080 -0.025 *** -0.010 *** -0.029 *** 0.072 0.096 0.076 0.069 -0.025 *** -0.020 *** -0.028 ***
TQ 1.033 1.183 1.018 1.042 -0.149 *** -0.165 *** -0.141 *** 1.021 1.071 1.010 1.030 -0.050 *** -0.061 *** -0.041 ***
ROA 0.013 0.043 0.015 0.014 -0.030 *** -0.028 *** -0.029 *** 0.012 0.027 0.012 0.013 -0.015 *** -0.015 *** -0.014 ***
Invest_Opp 0.235 0.626 0.370 0.209 -0.391 *** -0.257 ** -0.418 *** 0.000 0.237 0.000 0.013 -0.237 *** -0.237 ** -0.224 ***
Leverage 0.182 0.140 0.176 0.187 0.042 *** 0.036 ** 0.047 *** 0.173 0.114 0.165 0.179 0.060 *** 0.051 ** 0.065 ***
Firm Size 11.181 9.030 10.957 11.374 2.151 *** 1.927 *** 2.343 *** 11.588 8.856 11.041 11.663 2.732 *** 2.186 *** 2.807 ***
Dividend Yield 0.133 0.145 0.114 0.147 -0.012 * -0.031 0.002 ** 0.107 0.066 0.084 0.134 0.041 * 0.018 0.068 **
Debt Maturity 0.138 0.110 0.114 0.145 0.029 *** 0.005 *** 0.035 *** 0.078 0.000 0.062 0.079 0.078 *** 0.062 *** 0.079 ***
NY Dummy 0.129 0.057 0.217 0.109 0.072 *** 0.161 *** 0.052 ** 0.000 0.000 0.000 0.000 0.000 *** 0.000 *** 0.000 **
Rating 0.452 0.327 0.250 0.492 0.125 -0.077 0.164 ** 0.000 0.000 0.000 0.000 0.000 0.000 0.000 **
Sale Growth 1.045 1.111 1.028 1.055 -0.067 *** -0.084 *** -0.057 *** 1.038 1.081 1.038 1.044 -0.043 *** -0.043 *** -0.037 ***
Panel B: PC Insurers (N = 666)
Idiosyncratic Risk 0.086 0.096 0.080 0.108 -0.010 ** -0.016 * 0.012 0.076 0.085 0.076 0.101 -0.009 ** -0.009 * 0.016 Market Risk 1.374 0.636 1.657 0.989 0.738 *** 1.021 *** 0.353 *** 0.977 0.551 1.073 0.947 0.426 *** 0.521 *** 0.395 ***
Total Risk 0.101 0.100 0.098 0.118 0.001 -0.001 0.018 0.080 0.088 0.080 0.107 -0.008 -0.008 0.019 TQ 1.014 1.104 1.003 1.011 -0.090 *** -0.101 *** -0.093 ** 1.012 1.071 1.006 1.017 -0.060 *** -0.065 *** -0.055 **
ROA 0.016 0.035 0.023 0.000 -0.019 *** -0.011 ** -0.035 *** 0.012 0.037 0.014 0.008 -0.026 *** -0.024 ** -0.030 ***
Invest_Opp 0.923 0.657 1.300 0.263 0.266 0.643 -0.394 *** 0.176 0.345 0.555 0.018 -0.170 0.210 -0.327 ***
Leverage 0.217 0.146 0.210 0.195 0.071 *** 0.064 *** 0.049 *** 0.201 0.115 0.194 0.216 0.085 *** 0.079 *** 0.100 ***
Firm Size 10.897 8.063 10.231 11.391 2.834 *** 2.168 *** 3.328 *** 11.135 7.965 10.238 12.112 3.169 *** 2.273 *** 4.147 ***
Dividend Yield 0.135 0.395 0.149 0.109 -0.260 *** -0.246 ** -0.287 0.095 0.232 0.092 0.099 -0.137 *** -0.140 ** -0.133 Debt Maturity 0.101 0.112 0.068 0.091 -0.011 *** -0.045 -0.022 0.063 0.000 0.000 0.062 0.063 *** 0.000 0.062
NY Dummy 0.154 0.096 0.000 0.182 0.058 -0.096 * 0.086 *** 0.000 0.000 0.000 0.000 0.000 0.000 0.000 Rating 0.459 0.316 0.273 0.600 0.144 ** -0.043 0.284 * 0.000 0.000 0.000 1.000 0.000 0.000 1.000 *
Sale Growth 1.036 1.128 1.014 1.067 -0.093 *** -0.114 *** -0.062 1.038 1.083 1.017 1.095 -0.045 *** -0.065 *** 0.012
29
Table 4 Risk Models
The simultaneous equations model is described as equations (3) and (4): Riski,t= α1 + β1,j ×CDSi,t, + tii Z ,,1 + β1,2 ×Div_yieldi + ε1,i,t
(3)
CDSi,t= α2 + β2,1 ×Riski,t + tii Z ,,2 + β2,2 ×NY_Dummyi,t +ε2,i,t
(4)
where Risk denotes total risk, systematic risk, and idiosyncratic risk of an insurer. Total risk is defined as the total standard deviation of monthly returns over months for the past five-year period. Idiosyncratic risk (IR) is the standard deviation of residuals from a regression of monthly returns based on the capital asset pricing model: rj,t – rf,t = αj,t + βj,t×(rm,t – rf,t) + εj,t; Market risk is the coefficient, β, from CAPM. CDS represents three different dummy variables. First, CDS_Dummyi,t = 1 if insurer i participates in CDS transactions in year t and zero elsewhere; Second, Net_Buyeri,t = 1 if the aggregate notional amount of CDS buy position is greater than that of sell position for insurer i in year t and zero elsewhere. Third, Net_Selleri,t = 1 if the aggregate notional amount of CDS sell position is greater than that of buy position for insurer i in year t and zero elsewhere. Zi,t represents a set of firm characteristics variables defined as follows: CDS_Change is dummy variable with value 1 if an insurer changes its CDS position from Net Sellers (Buyers) at time t-1 to Net Buyers (Sellers) at time t or from CDS holding to zero holding. Spread_Vol is the volatility of CDS daily spread difference; CAP_EXP is defined as net capital expenses to assets, Leverage is defined as the ratio of long-term debt plus preferred stock over long-term debt plus preferred stock plus common equity to total assets (i.e., leverage to market value of assets), Firm size is measured by the natural logarithm of the book value of assets. Div_yield is defined as dividend yield. DT_Maturity is the portion of short-term debt measured by the ratio of short-term debt with maturity less than three years to total debt, Rating is based on S&P issuer credit ratings to classify firms into investment and speculative grade to measure the credit risk and the unrated firms are included in the speculative grade, and Sale growth is defined as the growth of sale. State_NY_Dummy is defined as a dummy variable with value 1 if insurer i operated in New York State.
30
Panel A: Life Insurance Sample Panel A1: Total Risk Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
Risk Equation Intercept 0.268 6.57 *** Intercept 0.227 6.68 *** Intercept 0.312 5.52 ***
CDS_ Dummy 0.081 2.69 *** CDS_ Buyers -0.068 -1.04 CDS_ Sellers 0.148 2.64 ***
CDS_Change 0.016 1.15 CDS_Change 0.032 1.13 CDS_Change 0.007 0.31
Spread_Vol 0.005 1.12 Spread_Vol 0.004 1.08 Spread_Vol 0.004 0.75
CAP_EXP 0.015 4.04 *** CAP_EXP 0.012 3.62 *** CAP_EXP 0.017 3.95 ***
Leverage 0.122 4.05 *** Leverage 0.125 4.51 *** Leverage 0.133 3.53 ***
Firm Size -0.017 -4.36 *** Firm Size -0.006 -1.98 ** Firm Size -0.022 -3.77 ***
Div Yield -0.023 -2.17 ** Div Yield -0.073 -4.81 *** Div Yield -0.016 -1.70 *
DT_Maturity -0.001 -0.06 DT_Maturity 0.019 1.34 DT_Maturity -0.010 -0.46
Rating -0.020 -2.77 *** Rating -0.014 -2.60 *** Rating -0.025 -2.58 **
Sale Growth -0.020 -1.04 Sale Growth -0.057 -3.10 *** Sale Growth -0.025 -1.07
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
CDS Equation Intercept -2.131 -4.20 *** Intercept -0.513 -2.09 ** Intercept -1.754 -3.86 ***
Total_Risk 7.504 3.79 *** Total_Risk 1.844 1.87 * Total_Risk 5.398 3.18 ***
CDS_Change -0.114 -0.81 CDS_Change 0.228 1.23 CDS_Change -0.047 -0.31
Spread_Vol -0.038 -1.02 Spread_Vol -0.009 -0.46 Spread_Vol -0.022 -0.67
CAP_EXP -0.127 -2.78 *** CAP_EXP -0.010 -0.46 CAP_EXP -0.100 -2.81 ***
Leverage -0.958 -2.40 ** Leverage -0.321 -1.55 Leverage -0.749 -2.25 **
Firm Size 0.173 6.18 *** Firm Size 0.057 3.20 *** Firm Size 0.138 5.41 ***
DT_Maturity 0.058 0.36 DT_Maturity -0.057 -0.87 DT_Maturity 0.078 0.60
Rating 0.175 2.51 ** Rating -0.018 -0.62 Rating 0.148 2.44 **
State NY Dummy 0.118 1.50 State NY Dummy 0.283 3.04 *** State NY Dummy 0.053 0.83
Sale Growth -0.002 -0.01 Sale Growth -0.107 -1.39 Sale Growth 0.080 0.52
31
Panel A2: Idiosyncratic Risk Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
Risk Equation Intercept 0.279 7.40 *** Intercept 0.246 7.58 *** Intercept 0.316 6.25 ***
CDS_ Dummy 0.056 1.78 * CDS_ Buyers -0.067 -1.00 CDS_ Sellers 0.114 2.26 **
CDS_Change 0.010 0.96 CDS_Change 0.031 1.11 CDS_Change 0.003 0.19
Spread_Vol 0.004 1.24 Spread_Vol 0.005 1.23 Spread_Vol 0.004 0.90
CAP_EXP 0.014 3.90 *** CAP_EXP 0.012 3.48 *** CAP_EXP 0.015 3.72 ***
Leverage 0.114 4.32 *** Leverage 0.119 4.43 *** Leverage 0.121 3.75 ***
Firm Size -0.017 -4.31 *** Firm Size -0.009 -2.82 *** Firm Size -0.021 -4.04 ***
Div Yield -0.034 -2.53 ** Div Yield -0.074 -5.00 *** Div Yield -0.028 -2.07 **
DT_Maturity 0.007 0.43 DT_Maturity 0.022 1.59 DT_Maturity -0.002 -0.09
Rating -0.018 -2.69 *** Rating -0.013 -2.50 ** Rating -0.022 -2.60 ***
Sale Growth -0.030 -1.68 * Sale Growth -0.057 -3.29 *** Sale Growth -0.032 -1.58
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
CDS Equation Intercept -2.133 -3.85 *** Intercept -0.491 -1.86 * Intercept -1.770 -3.63 ***
IR 7.033 3.34 *** IR 1.555 1.54 IR 5.143 2.91 ***
CDS_Change -0.061 -0.46 CDS_Change 0.247 1.33 CDS_Change -0.023 -0.16
Spread_Vol -0.035 -1.00 Spread_Vol -0.007 -0.33 Spread_Vol -0.021 -0.66
CAP_EXP -0.113 -2.44 ** CAP_EXP -0.004 -0.19 CAP_EXP -0.089 -2.44 **
Leverage -0.857 -2.22 ** Leverage -0.265 -1.29 Leverage -0.667 -2.08 **
Firm Size 0.181 5.79 *** Firm Size 0.057 2.89 *** Firm Size 0.146 5.22 ***
DT_Maturity 0.027 0.17 DT_Maturity -0.057 -0.84 DT_Maturity 0.057 0.44
Rating 0.156 2.29 ** Rating -0.022 -0.80 Rating 0.136 2.29 **
State NY Dummy 0.169 2.04 ** State NY Dummy 0.297 3.26 *** State NY Dummy 0.095 1.35
Sale Growth -0.022 -0.12 Sale Growth -0.109 -1.45 Sale Growth 0.056 0.37
32
Panel A3: Market Risk Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
Risk Equation Intercept 1.317 2.01 ** Intercept 0.002 0.00 Intercept 2.651 2.15 **
CDS_ Dummy 2.586 8.72 *** CDS_ Buyers 4.116 1.93 * CDS_ Sellers 4.733 2.46 **
CDS_Change -0.048 -0.12 CDS_Change -0.862 -0.86 CDS_Change -0.063 -0.08
Spread_Vol -0.017 -0.24 Spread_Vol 0.015 0.18 Spread_Vol -0.022 -0.17
CAP_EXP 0.050 0.69 CAP_EXP 0.016 0.26 CAP_EXP 0.100 0.94
Leverage 1.106 1.79 * Leverage 0.982 2.00 ** Leverage 1.547 1.64
Firm Size -0.196 -3.57 *** Firm Size -0.034 -0.51 Firm Size -0.349 -2.10 **
Div Yield -0.027 -0.39 Div Yield 0.044 0.25 Div Yield 0.072 0.23
DT_Maturity -0.703 -2.02 ** DT_Maturity -0.303 -1.12 DT_Maturity -0.897 -1.53
Rating -0.299 -1.96 * Rating -0.102 -0.87 Rating -0.381 -1.33
Sale Growth 0.512 1.34 Sale Growth 0.441 1.25 Sale Growth 0.419 0.65
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
CDS Equation Intercept -0.506 -2.05 ** Intercept -0.008 -0.06 Intercept -0.567 -2.76 ***
Beta 0.376 10.60 *** Beta 0.222 3.99 *** Beta 0.212 2.61 ***
CDS_Change 0.027 0.18 CDS_Change 0.209 1.04 CDS_Change 0.013 0.08
Spread_Vol 0.007 0.24 Spread_Vol -0.004 -0.20 Spread_Vol 0.005 0.17
CAP_EXP -0.019 -0.71 CAP_EXP 0.001 0.08 CAP_EXP -0.020 -0.96
Leverage -0.420 -1.73 * Leverage -0.202 -1.54 Leverage -0.326 -1.42
Firm Size 0.077 4.19 *** Firm Size 0.008 0.77 Firm Size 0.074 4.45 ***
DT_Maturity 0.268 2.04 ** DT_Maturity 0.085 1.33 DT_Maturity 0.190 1.73 *
Rating 0.115 2.02 ** Rating 0.028 1.00 Rating 0.080 1.59
State NY Dummy 0.008 0.66 State NY Dummy -0.040 -0.53 State NY Dummy -0.005 -0.22
Sale Growth -0.203 -1.43 Sale Growth -0.100 -1.24 Sale Growth -0.088 -0.74
33
Panel B: PC Insurance Sample
Panel B1: Total Risk Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
Risk Equation Intercept 0.394 5.14 *** Intercept 0.219 6.98 *** Intercept 0.410 5.38 ***
CDS_ Dummy 1.386 4.74 *** CDS_ Buyers 0.689 3.41 *** CDS_ Sellers 3.310 3.52 ***
CDS_Change -0.528 -1.68 * CDS_Change -0.288 -1.79 * CDS_Change -0.581 -0.83
Spread_Vol 0.022 1.15 Spread_Vol 0.014 1.79 * Spread_Vol 0.000 0.01
CAP_EXP -0.041 -1.87 * CAP_EXP -0.016 -1.58 CAP_EXP 0.007 0.70
Leverage -0.055 -0.59 Leverage 0.033 0.82 Leverage 0.094 1.57
Firm Size -0.047 -4.65 *** Firm Size -0.017 -4.41 *** Firm Size -0.040 -3.70 ***
Div Yield 0.029 1.64 Div Yield 0.000 -0.07 Div Yield 0.034 1.86 *
DT_Maturity 0.039 1.06 DT_Maturity 0.026 1.45 DT_Maturity -0.007 -0.22
Rating -0.005 -0.18 Rating -0.006 -0.47 Rating -0.041 -1.44
Sale Growth 0.043 1.15 Sale Growth 0.004 0.21 Sale Growth -0.025 -0.77
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
CDS Equation Intercept -0.292 -2.72 *** Intercept -0.251 -4.64 *** Intercept -0.136 -1.94 *
Total_Risk 0.827 2.05 ** Total_Risk 1.131 7.62 *** Total_Risk 0.430 1.68 *
CDS_Change 0.380 1.84 * CDS_Change 0.420 2.10 ** CDS_Change 0.172 0.83
Spread_Vol -0.017 -1.29 Spread_Vol -0.019 -1.71 * Spread_Vol -0.002 -0.25
CAP_EXP 0.030 2.04 ** CAP_EXP 0.023 1.80 * CAP_EXP -0.003 -0.83
Leverage 0.050 0.70 Leverage -0.022 -0.39 Leverage -0.030 -1.24
Firm Size 0.032 3.85 *** Firm Size 0.021 3.61 *** Firm Size 0.011 2.04 **
DT_Maturity -0.031 -1.08 DT_Maturity -0.038 -1.63 DT_Maturity 0.004 0.40
Rating -0.009 -0.42 Rating 0.004 0.22 Rating 0.008 0.86
State NY Dummy 0.001 0.06 State NY Dummy -0.002 -0.17 State NY Dummy 0.002 0.15
Sale Growth -0.025 -0.90 Sale Growth -0.011 -0.42 Sale Growth 0.013 1.26
34
Panel B2: Idiosyncratic Risk Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
Risk Equation Intercept 0.392 5.21 *** Intercept 0.218 6.99 *** Intercept 0.411 5.46 ***
CDS_ Dummy 1.356 4.75 *** CDS_ Buyers 0.662 3.47 *** CDS_ Sellers 3.296 3.52 ***
CDS_Change -0.518 -1.67 * CDS_Change -0.281 -1.81 * CDS_Change -0.580 -0.83
Spread_Vol 0.023 1.22 Spread_Vol 0.014 1.94 * Spread_Vol 0.001 0.02
CAP_EXP -0.040 -1.89 * CAP_EXP -0.016 -1.61 CAP_EXP 0.007 0.66
Leverage -0.064 -0.69 Leverage 0.027 0.67 Leverage 0.089 1.52
Firm Size -0.048 -4.81 *** Firm Size -0.017 -4.67 *** Firm Size -0.041 -3.81 ***
Div Yield 0.029 1.69 * Div Yield -0.001 -0.16 Div Yield 0.034 1.88 *
DT_Maturity 0.040 1.10 DT_Maturity 0.026 1.47 DT_Maturity -0.006 -0.18
Rating -0.005 -0.18 Rating -0.005 -0.42 Rating -0.040 -1.42
Sale Growth 0.044 1.18 Sale Growth 0.005 0.27 Sale Growth -0.024 -0.76
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
CDS Equation Intercept -0.297 -2.49 ** Intercept -0.253 -4.79 *** Intercept -0.136 -1.83 *
IR 0.846 1.84 * IR 1.146 8.13 *** IR 0.429 1.58
CDS_Change 0.379 1.82 * CDS_Change 0.424 2.10 ** CDS_Change 0.173 0.83
Spread_Vol -0.019 -1.39 Spread_Vol -0.021 -1.80 * Spread_Vol -0.002 -0.26
CAP_EXP 0.030 2.07 ** CAP_EXP 0.023 1.79 * CAP_EXP -0.003 -0.77
Leverage 0.060 0.83 Leverage -0.016 -0.28 Leverage -0.028 -1.15
Firm Size 0.033 3.68 *** Firm Size 0.022 3.79 *** Firm Size 0.011 1.98 **
DT_Maturity -0.033 -1.13 DT_Maturity -0.038 -1.64 DT_Maturity 0.003 0.33
Rating -0.009 -0.42 Rating 0.003 0.20 Rating 0.007 0.80
State NY Dummy 0.001 0.06 State NY Dummy -0.003 -0.21 State NY Dummy 0.002 0.15
Sale Growth -0.027 -0.96 Sale Growth -0.013 -0.50 Sale Growth 0.013 1.22
35
Panel B3: Market Risk Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
Risk Equation Intercept 0.644 1.69 * Intercept 0.459 2.13 ** Intercept -0.037 -0.10
CDS_ Dummy 1.041 0.55 CDS_ Buyers 3.616 3.15 *** CDS_ Sellers -5.452 -1.53
CDS_Change -0.188 -0.26 CDS_Change -1.279 -1.59 CDS_Change 0.645 0.45
Spread_Vol -0.038 -1.09 Spread_Vol -0.002 -0.04 Spread_Vol -0.029 -0.52
CAP_EXP 0.031 0.47 CAP_EXP -0.023 -0.38 CAP_EXP 0.009 0.27
Leverage 0.754 2.84 *** Leverage 0.859 3.82 *** Leverage 0.650 2.95 ***
Firm Size -0.024 -0.36 Firm Size -0.022 -0.88 Firm Size 0.068 1.40
Div Yield 0.029 0.18 Div Yield 0.034 0.59 Div Yield -0.072 -0.74
DT_Maturity -0.167 -1.82 * DT_Maturity -0.080 -0.72 DT_Maturity -0.158 -1.47
Rating -0.219 -2.55 ** Rating -0.165 -2.27 ** Rating -0.164 -1.80 *
Sale Growth -0.044 -0.25 Sale Growth 0.045 0.28 Sale Growth 0.005 0.03
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
CDS Equation Intercept -0.375 -1.79 * Intercept -0.051 -1.41 Intercept -0.032 -1.39
Beta 0.678 1.09 Beta 0.127 2.73 *** Beta -0.039 -0.93
CDS_Change 0.237 1.19 CDS_Change 0.345 1.79 * CDS_Change 0.037 0.16
Spread_Vol 0.019 0.46 Spread_Vol -0.011 -0.94 Spread_Vol -0.002 -0.24
CAP_EXP -0.021 -0.45 CAP_EXP 0.015 1.30 CAP_EXP 0.001 0.19
Leverage -0.560 -0.82 Leverage -0.067 -0.92 Leverage 0.032 0.91
Firm Size 0.010 0.47 Firm Size 0.007 1.34 Firm Size 0.007 2.12
DT_Maturity 0.107 0.92 DT_Maturity -0.003 -0.14 DT_Maturity -0.013 -1.03 **
Rating 0.129 1.01 Rating 0.007 0.34 Rating -0.022 -1.97
State NY Dummy 0.118 0.96 State NY Dummy -0.015 -0.81 State NY Dummy 0.028 2.79 **
Sale Growth 0.024 0.25 Sale Growth -0.028 -1.06 Sale Growth -0.001 -0.13 ***
36
Table 5 : Regression Model on Firm Performance The regression model is: Performance
=
α0 + βj ×CDSi,t + tii Z , + εi,t
(5)
Three main variables are used to proxy for firm value/performance measure: Tobin’s Q, ratio of Market value of equity to book-value equity, MV(Eqty)/BV(Eqty), and return on asset (ROA). Tobin’s Q is defined as the market value of equity plus the book value of liabilities divided by the book value of assets,
i.e.,)(
)()()(
assetstotalBV
equitycommonMVequitycommonBVassetstotalBVTQ
, where MV (common equity) is the product of stock
price and number shares outstanding; )(
)()(_)(
equitycommonBV
equitycommonMVEqtyBVEqtyMV ; ROA is return on book value asset.
CDS represents those CDS-related variables, namely, CDS is the participation dummy (CDS_Dummy) and net participation positions (Net_Seller and Net_Buyer). CDS_Dummyi,t = 1 if insurer i participate in CDS transactions in year t and zero elsewhere; Net_Buyeri,t = 1 if the aggregate notional amount of CDS buy position is greater than that of sell position for insurer i in year t and zero elsewhere; Net_Selleri,t = 1 if the aggregate notional amount of CDS sell position is greater than that of buy position for insurer i in year t and zero elsewhere. Zi,t represents a set of firm characteristics variables defined as follows: CDS_Change is dummy variable with value 1 if an insurer changes CDS position from Net Sellers (Buyers) at time t-1 to Net Buyers (Sellers) at time t or changes participation position from CDS holding to no holding. Spread_Vol is the volatility of CDS daily spread difference; CAP_EXP is defined as net capital expenses to assets to measure investment opportunity; Leverage is defined as the ratio of long-term debt plus preferred stock over long-term debt plus preferred stock plus common equity to total assets (i.e., leverage to market value of assets), Firm size is measured by the natural logarithm of the book value of assets. Div_yield defined as dividend yield, DT_Maturity is the portion of short-term debt measured by the ratio of short-term debt with maturity less than three years to total debt, Rating is based on S&P issuer credit ratings to classify firms into investment and speculative grade to measure the credit risk and the unrated firms are included in the speculative grade, and Sale growth is defined as the growth of sale.
37
Panel A: Life Insurance Sample Panel A1: Tobin's Q Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
Tobin's Q Intercept 1.070 7.43 *** Intercept 1.065 6.75 *** Intercept 1.072 7.24 ***
CDS_ Dummy -0.059 -1.99 * CDS_ Buyers -0.078 -2.01 ** CDS_ Sellers -0.043 -1.45 CDS_Change -0.021 -0.83 CDS_Change -0.012 -0.41 CDS_Change -0.004 -0.15
Spread_Vol -0.035 -1.72 * Spread_Vol -0.041 -1.85 * Spread_Vol -0.039 -1.82 *
CAP_EXP 0.129 5.18 *** CAP_EXP 0.128 4.87 *** CAP_EXP 0.133 5.14 ***
Leverage -0.577 -5.35 *** Leverage -0.569 -4.74 *** Leverage -0.584 -5.32 ***
Firm Size -0.002 -0.26 Firm Size -0.004 -0.40 Firm Size -0.003 -0.37
Div Yield -0.254 -2.91 *** Div Yield -0.265 -2.90 *** Div Yield -0.245 -2.80 ***
DT_Maturity -0.110 -1.43 DT_Maturity -0.123 -1.45 DT_Maturity -0.111 -1.39
Rating 0.076 2.08 ** Rating 0.087 1.95 * Rating 0.077 2.05 **
Sale Growth 0.202 2.19 ** Sale Growth 0.225 2.23 ** Sale Growth 0.208 2.23 **
Panel A2: Market to Book Equity Value Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
MV_BV Intercept 1.272 1.29 Intercept 1.239 1.15 Intercept 1.289 1.27 CDS_ Dummy -0.184 -1.02 CDS_ Buyers -0.453 -1.86 * CDS_ Sellers -0.039 -0.21 CDS_Change -0.110 -0.75 CDS_Change 0.017 0.10 CDS_Change -0.017 -0.11
Spread_Vol -0.325 -3.00 *** Spread_Vol -0.328 -2.77 *** Spread_Vol -0.321 -2.87 ***
CAP_EXP 0.667 3.49 *** CAP_EXP 0.671 3.36 *** CAP_EXP 0.698 3.50 ***
Leverage -3.098 -5.42 *** Leverage -2.926 -4.73 *** Leverage -3.101 -5.29 ***
Firm Size 0.090 1.62 Firm Size 0.079 1.32 Firm Size 0.080 1.36
Div Yield -1.108 -2.71 *** Div Yield -1.122 -2.64 ** Div Yield -1.040 -2.57 **
DT_Maturity -0.406 -1.02 DT_Maturity -0.503 -1.14 DT_Maturity -0.393 -0.94
Rating 0.407 2.10 ** Rating 0.482 2.05 ** Rating 0.409 2.05 **
Sale Growth 0.483 0.99 Sale Growth 0.560 1.05 Sale Growth 0.491 0.98
38
Panel A3: ROA Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
ROA Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
Intercept 0.033 1.10 Intercept 0.031 0.95 Intercept 0.033 1.05
CDS_ Dummy -0.013 -2.22 ** CDS_ Buyers -0.012 -1.75 * CDS_ Sellers -0.010 -1.66 CDS_Change -0.001 -0.28 CDS_Change -0.002 -0.42 CDS_Change 0.001 0.28 Spread_Vol 0.006 1.44 Spread_Vol 0.006 1.41 Spread_Vol 0.005 1.22
CAP_EXP 0.024 5.76 *** CAP_EXP 0.024 5.48 *** CAP_EXP 0.025 5.72 ***
Leverage -0.058 -3.19 *** Leverage -0.056 -2.84 *** Leverage -0.059 -3.21 ***
Firm Size -0.003 -1.46 Firm Size -0.003 -1.55 Firm Size -0.003 -1.57
Div Yield -0.030 -1.84 * Div Yield -0.033 -2.01 ** Div Yield -0.027 -1.67 * DT_Maturity -0.001 -0.05 DT_Maturity -0.002 -0.13 DT_Maturity 0.000 -0.03
Rating 0.012 1.81 * Rating 0.014 1.77 * Rating 0.012 1.81 *
Sale Growth 0.012 0.65 Sale Growth 0.015 0.75 Sale Growth 0.014 0.75
39
Panel B: PC Insurance Sample
Panel B1: Tobin's Q Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
Tobin's Q Intercept 0.946 16.23 *** Intercept 0.947 16.21 *** Intercept 0.949 16.10 ***
CDS_ Dummy -0.096 -4.29 *** CDS_ Buyers -0.093 -4.67 *** CDS_ Sellers -0.099 -3.19 ***
CDS_Change -0.065 -3.24 *** CDS_Change -0.059 -2.43 ** CDS_Change -0.056 -2.11 **
Spread_Vol -0.044 -4.07 *** Spread_Vol -0.042 -3.79 *** Spread_Vol -0.043 -3.93 ***
CAP_EXP 0.016 1.77 * CAP_EXP 0.015 1.72 * CAP_EXP 0.015 1.52
Leverage -0.229 -2.89 *** Leverage -0.233 -2.90 *** Leverage -0.236 -2.87 ***
Firm Size 0.010 1.78 * Firm Size 0.009 1.67 * Firm Size 0.009 1.68 *
Div Yield 0.015 0.52 Div Yield 0.016 0.56 Div Yield 0.016 0.55 DT_Maturity -0.042 -1.53 DT_Maturity -0.043 -1.55 DT_Maturity -0.044 -1.58
Rating 0.072 2.95 *** Rating 0.072 2.85 *** Rating 0.072 2.81 ***
Sale Growth 0.121 3.73 *** Sale Growth 0.121 3.71 *** Sale Growth 0.123 3.74 ***
Panel B2: Market to Book Equity Value Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
MV_BV Intercept 0.436 2.12 ** Intercept 0.440 2.20 ** Intercept 0.442 2.18 **
CDS_ Dummy -0.330 -3.32 *** CDS_ Buyers -0.396 -4.24 *** CDS_ Sellers -0.352 -2.79 ***
CDS_Change -0.222 -2.19 ** CDS_Change -0.168 -1.44 CDS_Change -0.250 -2.17 **
Spread_Vol -0.272 -5.83 *** Spread_Vol -0.264 -5.63 *** Spread_Vol -0.267 -5.80 ***
CAP_EXP 0.030 1.03 CAP_EXP 0.033 1.10 CAP_EXP 0.029 0.85 Leverage -0.682 -1.53 Leverage -0.689 -1.54 Leverage -0.697 -1.51
Firm Size 0.077 3.22 *** Firm Size 0.075 3.25 *** Firm Size 0.076 3.25 ***
Div Yield 0.011 0.11 Div Yield 0.013 0.13 Div Yield 0.012 0.12 DT_Maturity -0.087 -0.80 DT_Maturity -0.097 -0.91 DT_Maturity -0.100 -0.92
Rating 0.257 2.66 *** Rating 0.251 2.57 ** Rating 0.250 2.51 **
Sale Growth 0.626 4.06 *** Sale Growth 0.618 4.01 *** Sale Growth 0.622 4.02 ***
40
Panel B3: ROA Model
CDS Participation CDS Net Buyers CDS Net Sellers
Parameter Coef. tValue Parameter Coef. tValue Parameter Coef. tValue
ROA Intercept -0.025 -1.22 Intercept -0.025 -1.21 Intercept -0.024 -1.15 CDS_ Dummy -0.010 -1.36 CDS_ Buyers -0.005 -0.71 CDS_ Sellers -0.014 -1.57
CDS_Change -0.018 -2.35 ** CDS_Change -0.021 -2.24 ** CDS_Change -0.015 -1.29
Spread_Vol 0.009 3.00 *** Spread_Vol 0.009 2.98 *** Spread_Vol 0.008 2.92 ***
CAP_EXP 0.007 3.09 *** CAP_EXP 0.007 3.01 *** CAP_EXP 0.006 2.40 **
Leverage -0.034 -1.80 * Leverage -0.035 -1.83 * Leverage -0.035 -1.81 *
Firm Size -0.002 -1.11 Firm Size -0.002 -1.19 Firm Size -0.002 -1.15 Div Yield 0.008 1.19 Div Yield 0.008 1.21 Div Yield 0.008 1.13 DT_Maturity 0.011 0.81 DT_Maturity 0.011 0.82 DT_Maturity 0.012 0.88
Rating 0.017 2.46 ** Rating 0.017 2.41 ** Rating 0.018 2.50 **
Sale Growth 0.028 2.89 *** Sale Growth 0.028 2.89 *** Sale Growth 0.028 2.88 ***