Theory and evidence on the dynamic interactions between sovereign credit default swaps and currency options

Using sovereign CDS spreads and currency option data for Mexico and Brazil, we document that CDS spreads covary with both the currency option implied volatility and the slope of the implied volatility curve in moneyness. We propose a joint valuation framework, in which currency return variance and sovereign default intensity follow a bivariate diffusion with contemporaneous correlation. Estimation shows that default intensity is much more persistent than currency return variance. The market price estimates on the two risk factors also explain the well-documented evidence that historical average default probabilities are lower than those implied from credit spreads.     

Sovereign CDS Spreads,Volatility, and Liquidity: Evidence from 2010 German Short Sale Ban

The paper examines global impact of 2010 German short sale ban on sovereign credit default swap (CDS) spreads, volatility, and liquidity across 54 countries. We find that CDS spreads continue rising after the ban in the debt crisis region, which suggests that the short selling ban is incapable of suppressing soaring borrowing costs in these countries. However, we find that the ban helps stabilize the CDS market by reducing CDS volatility. The reduction in CDS volatility is greater in the eurozone than that in the non‐eurozone. Furthermore, we find that the CDS market liquidity has been impaired during the ban for the PIIGS (Portugal, Ireland, Italy, Greece, and Spain) countries. In contrast, there are no dramatic changes in the market liquidity for non‐PIIGS eurozone and non‐eurozone samples. The findings suggest that the short sale ban is ineffective to reduce sovereign borrowing costs in the debt crisis region if the underlying economy has not been significantly improved.     

Corporate bond default risk: A 150-year perspective

We study corporate bond default rates using an extensive new data set spanning the 1866-2008 period. We find that the corporate bond market has repeatedly suffered clustered default events much worse than those experienced during the Great Depression. For example, during the railroad crisis of 1873-1875, total defaults amounted to 36% of the par value of the entire corporate bond market. Using a regime-switching model, we examine the extent to which default rates can be forecast by financial and macroeconomic variables. We find that stock returns, stock return volatility, and changes in GDP are strong predictors of default rates. Surprisingly, however, credit spreads are not. Over the long term, credit spreads are roughly twice as large as default losses, resulting in an average credit risk premium of about 80 basis points. We also find that credit spreads do not adjust in response to realized default rates.     

Market conditions,default risk and credit spreads

This study empirically examines the impact of the interaction between market and default risk on corporate credit spreads. Using credit default swap (CDS) spreads, we find that average credit spreads decrease in GDP growth rate, but increase in GDP growth volatility and jump risk in the equity market. At the market level, investor sentiment is the most important determinant of credit spreads. At the firm level, credit spreads generally rise with cash flow volatility and beta, with the effect of cash flow beta varying with market conditions. We identify implied volatility as the most significant determinant of default risk among firm-level characteristics. Overall, a major portion of individual credit spreads is accounted for by firm-level determinants of default risk, while macroeconomic variables are directly responsible for a lesser portion.     

Are CDS spreads predictable? An analysis of linear and non-linear forecasting models

This paper investigates the forecasting performance for CDS spreads of both linear and non-linear models by analysing the iTraxx Europe index during the financial crisis period which began in mid-2007. The statistical and economic significance of the models' forecasts are evaluated by employing various metrics and trading strategies, respectively. Although these models provide good in-sample performances, we find that the non-linear Markov switching models underperform linear models out-of-sample. In general, our results show some evidence of predictability of iTraxx index spreads. Linear models, in particular, generate positive Sharpe ratios for some of the strategies implemented, thus shedding some doubts on the efficiency of the European CDS index market.     

The impact of credit rating announcements on credit default swap spreads

We document the ability of the credit default swap (CDS) market to anticipate favorable as well as unfavorable credit rating change (RC) announcements based on more extensive samples of credit rating events and CDS spreads than previous studies. We obtain four new results. In contrast to prior published studies, we find that corporate RC upgrades do have a significant impact on CDS spreads even though they are still not as well anticipated as downgrades. Second, CreditWatch (CW) and Outlook (OL) announcements, after controlling for prior credit rating events, lead to significant CARs at the time positive CW and OL credit rating events are announced. Third, we extend prior results by showing that changes in CDS spreads for non-investment-grade credits contain information useful for estimating the probability of negative credit rating events. Fourth, we find that the CDS spread impact of upgrades but not downgrades is magnified during recessions and that upgrades and downgrades also differ as to the impact of simultaneous CW/OL announcements, investment-grade/speculative-grade crossovers, current credit rating, market volatility, and industry effects.     

The CDS market reaction to restatement announcements

I investigate the credit market's reaction to restatement announcements through changes in credit default swap (CDS) spreads. I document an overall positive association between CDS returns and restatement announcements. Specifically, I find that more positive CDS returns are associated with restatements (1) involving fraud and (2) affecting more accounts. Moreover, these reactions are sensitive to the underlying entities’ credit ratings and the market‐wide investor sentiment. Next, I compare CDS and stock market reactions and find that more negative stock returns are associated with restatements (1) involving fraud and (2) decreasing reported income.     

A jump to default extended CEV model: an application of Bessel processes

We develop a flexible and analytically tractable framework which unifies the valuation of corporate liabilities, credit derivatives, and equity derivatives. We assume that the stock price follows a diffusion, punctuated by a possible jump to zero (default). To capture the positive link between default and equity volatility, we assume that the hazard rate of default is an increasing affine function of the instantaneous variance of returns on the underlying stock. To capture the negative link between volatility and stock price, we assume a constant elasticity of variance (CEV) specification for the instantaneous stock volatility prior to default. We show that deterministic changes of time and scale reduce our stock price process to a standard Bessel process with killing. This reduction permits the development of completely explicit closed form solutions for risk-neutral survival probabilities, CDS spreads, corporate bond values, and European-style equity options. Furthermore, our valuation model is sufficiently flexible so that it can be calibrated to exactly match arbitrarily given term structures of CDS spreads, interest rates, dividend yields, and at-the-money implied volatilities.     

Credit default swaps and the UK 2008–09 short sales ban

Most studies of the short sales ban of UK financial stocks from September 2008 to January 2009 fail to control for the UK’s worst ever banking crisis and the underlying increase in risk. This paper studies the ban’s impact on the 13 large financials with credit default swaps (CDS) and 20 smaller stocks without CDS. The results reveal that returns of banned stocks Granger cause CDS returns in the pre- and post-ban periods, but causality runs from CDS to stock returns during the ban period. Underlying risk proxied by the CDS probability of default increased during the ban and the immediate pre- and post-ban periods which highlights an endogeneity problem ignored in some studies. This increased risk provides a plausible rationale for why CDS and related equity bid-ask spreads - which increased during the ban period – failed to fall significantly in the post-ban period. Panel regression results indicate that probability of default was an important economic determinant of stock bid-ask spreads during the ban period. Finally, our results suggest that the ban offered direct price support for the smaller non-CDS stocks during the ban period and indirect support for CDS stocks from their pre-ban to their post-ban levels.     

Evaluating corporate credit risks in emerging markets

Corporate leverage among emerging market firms went up considerably after the 2007–09 Global Financial Crisis (GFC). We investigate how the increased emerging market corporate leverage in the post-GFC period (2010–15) impacted the underlying credit risk, compared to the pre-GFC (2002–2006) and GFC (2007–09) periods. Using firm-level credit risk, financial, and balance sheet data for 350 firms in 23 emerging markets, we find that leverage growth leads to a significant increase in corporate credit default swap (CDS) spreads only in the post-GFC period, and the incremental effect is mainly evident among risky firms (firms with high leverage and idiosyncratic volatility). In contrast, emerging market CDS spreads during the GFC period are mainly driven by global market risk factors. The post-GFC corporate debt vulnerability is mitigated for high growth prospect firms and firms domiciled in countries with high net capital inflows and superior governance. While corporate leverage growth impacts aggregate corporate credit risk, there is no evidence that it increases sovereign credit risk. Our paper contributes to the recent literature on potential sources of default risk in emerging markets.     

Price discovery of subordinated credit spreads for Japanese mega-banks: Evidence from bond and credit default swap markets

This paper investigates the determinants and dynamics of subordinated credit spreads for Japanese mega-banks using the bond and credit default swap (CDS) spreads. The main findings are as follows. Subordinated bond and CDS spreads are cointegrated in most cases, and the CDS spread plays a more dominant role in price discovery than the bond spread. In addition, there are significant volatility spillovers from the CDS to bond spread. This information leadership for the CDS spread can largely be explained by stronger reactions of the CDS spread to some financial market variables and bank-specific accounting variables than the bond spread.     

Option-implied correlation between iTraxx Europe Financials and Non-Financials Indexes: A measure of spillover effect in European debt crisis

This paper proposes an analytic method to estimate the option-implied correlation embedded in options on the iTraxx Europe CDS indexes. The option-implied correlation is suggested as a measure of the spillover effect of default risk between the financial and corporate sectors in Europe. In particular, the correlation between the iTraxx Financials and Non-Financials sub-indexes is estimated from options on the iTraxx Main Index, which is considered as a basket option with the two sub-indexes being its underlyings. The abrupt changes of the realized correlation anticipated information of the corresponding option prices. The sovereign default risk, funding liquidity risk, level of risk aversion, and equity market performance are identified to be significant determinants of the option-implied correlation, implying inter-dependence amongst various markets during the European debt crisis.     

Cross-hedging strategies between CDS spreads and option volatility during crises

This paper presents a joint analysis of the term structure of credit default swap (CDS) spreads and the implied volatility surface for five European countries from 2007 to 2012, a sample period covering both the Global Financial Crisis (GFC) and the European debt crisis. We analyze to which extent effective cross-hedges can be performed between the credit and equity derivatives markets during these two crises. We find that during a global crisis a breakdown of the relationship between credit risk and equity volatility may occur, jeopardizing any cross-hedging strategy, which happened during the GFC. This stands in sharp contrast to the more localized European debt crisis, during which this fundamental relationship was preserved despite turbulent market conditions for both the CDS and volatility markets.     

CDO pricing with nested Archimedean copulas

Companies in the same industry sector are usually more correlated than firms in different sectors, as they are similarly affected by macroeconomic effects, political decisions, and consumer trends. Despite the many stock return models taking this fact into account, there are only a few credit default models that take it into consideration. In this paper we present a default model based on nested Archimedean copulas that is able to capture hierarchical dependence structures among the obligors in a credit portfolio. Nested Archimedean copulas have a surprisingly simple and intuitive interpretation. The dependence among all companies in the same sector is described by an inner copula and the sectors are then coupled via an outer copula. Consequently, our model implies a larger default correlation for companies in the same industry sector than for companies in different sectors. A calibration to CDO tranche spreads of the European iTraxx portfolio is performed to demonstrate the fitting capability of the model. This portfolio consists of CDS on 125 companies from six different industry sectors and is therefore an excellent portfolio for a comparison of our generalized model with a traditional copula model of the same family that does not take different sectors into account.     

Short-term determinants of the idiosyncratic sovereign risk premium: A regime-dependent analysis for European credit default swaps

This study investigates the dynamics of the sovereign CDS term premium, i.e. difference between 10Y and 5Y CDS spreads. It can be regarded a forward-looking measure of idiosyncratic sovereign default risk as perceived by financial markets. For some European countries this premium featured distinct nonstationary and heteroskedastic pattern during the last years. Using a Markov-switching unobserved component model, we decompose the daily CDS term premium of five European countries into two unobserved components of statistically different nature and link them in a vector autoregression to various daily observed financial market variables. We find that such decomposition is vital for understanding the short-term dynamics of this premium. The strongest impacts can be attributed to CDS market liquidity, local stock returns, and overall risk aversion. By contrast, the impact of shocks from the sovereign bond market is rather muted. Therefore, the CDS market microstructure effect and investor sentiment play the main roles in sovereign risk evaluation in real time. Moreover, we also find that the CDS term premium response to shocks is regime-dependent and can be ten times stronger during periods of high volatility.     

Do the stock and CDS markets price credit risk equally in the long-run?

In this paper, we examine the existence and stability of the long-run equilibrium relation between the price of credit risk in the stock and CDS markets for a sample of non-financial iTraxx Europe companies during the 2004–2017 period. We show that standard cointegration tests with no breaks frequently fail to detect cointegration. Once we formally account for the breaks in the cointegrating vector, we are able to detect cointegration over the entire sample period for the vast majority of the companies considered. An application of these results to CDS-equity trading shows that the profitability of traditional trading strategies crucially depends on the presence of cointegration and on the stability of the cointegrating vector. Finally, we find that CDS illiquidity factors decrease the likelihood of the stock and CDS market cointegration.     

Seeking causality between liquidity risk and credit risk: TED-OIS spreads and CDS indexes

Since the Global Financial Crisis, credit risk and its management have become one of the most appealing topics in finance literature. In this study, we investigate the interaction of credit risk and liquidity risk through the TED and the OIS spreads and various credit default swap indexes from the CDX and the iTraxx family (CDXIG, CDXHY, ITEEU, and ITEXO). The empirical analysis is conducted through the Kapetanios unit root test, the EGARCH model, the Bootstrap Toda-Yamamoto modified Wald test and the asymmetric causality analysis. The results of symmetric and asymmetric causality methods reveal that liquidity risk appears to play an important role in credit risk, and in most cases, the TED and the OIS spreads dominate the CDS indexes. It can, thus, be concluded that the TED and the OIS spreads are superior to the CDS indexes as an early warning indicator in the credit market.     

Credit default swaps and the market for sovereign debt

In this paper, we analyze the determinants and effects of credit default swap (CDS) trading initiation in the sovereign bond market. CDS trading initiation is associated with a 30–150 basis point reduction in sovereign bond yields, with greater yield reductions accruing to higher default risk economies. For countries with high default risk, rated B or lower by Standard and Poor’s, CDS initiation is also associated with significant price efficiency benefits in the underlying market. CDS trading initiation is more likely following increases in local equity index volatility, index spreads for regional and global CDS markets, or depreciation of the local currency relative to the US dollar, and decreases in a country’s ability to service foreign debt. Our results are robust to selection bias controls based on these factors.     

The information content of option-implied volatility for credit default swap valuation

Credit default swaps (CDS) are similar to out-of-the-money put options in that both offer a low cost and effective protection against downside risk. This study investigates whether put option-implied volatility is an important determinant of CDS spreads. Using a large sample of firms with both CDS and options data, we find that individual firms’ put option-implied volatility dominates historical volatility in explaining the time-series variation in CDS spreads. To understand this result, we show that implied volatility is a more efficient forecast for future realized volatility than historical volatility. More importantly, the volatility risk premium embedded in option prices covaries with the CDS spread. These findings complement existing empirical evidence based on market-level data.     

Do sovereign credit default swaps represent a clean measure of sovereign default risk? A factor model approach

In this study, we use a factor model in order to decompose sovereign Credit Default Swaps (CDS) spreads into default, liquidity, systematic liquidity and correlation components. By calibrating the model to sovereign CDSs and bonds we are able to present a better decomposition and a more accurate measure of spread components. Our analysis reveals that sovereign CDS spreads are highly driven by liquidity (55.6% of default risk and 44.32% of liquidity) and that sovereign bond spreads are less subject to liquidity frictions and therefore could represent a better proxy for sovereign default risk (73% of default risk and 26.86% of liquidity). Furthermore, our model enables us to directly study the effect of systematic liquidity and flight-to-liquidity risks on bond and CDS spreads through the factor sensitivity matrix. We find that these risks do have an influence on the default intensity and they contribute significantly to spread movements. Finally, our empirical results advance the idea that the increase in the CDS spreads observed during the crisis period was mainly due to a surge in liquidity rather than to an increase in the default intensity.