Systematic risk,debt maturity,and the term structure of credit spreads

We document several facts about corporate debt maturity: (1) debt maturity is pro-cyclical, (2) higher-beta firms tend to have longer maturity, and (3) shorter maturity amplifies the sensitivity of credit spreads to aggregate shocks. We present a dynamic capital structure model that explains these facts. In the model, leverage and maturity choices are interdependent, which reflect the tradeoffs of liquidity discounts of long-term debt, repayment risks of short-term debt, and the benefit of short-term debt as a commitment device for timely leverage adjustments. Additionally, the model helps quantify the effects of maturity dynamics on the term structure of credit spreads.     

Credit market shocks and economic fluctuations: Evidence from corporate bond and stock markets

To identify disruptions in credit markets, research on the role of asset prices in economic fluctuations has focused on the information content of various corporate credit spreads. We re-examine this evidence using a broad array of credit spreads constructed directly from the secondary bond prices on outstanding senior unsecured debt issued by a large panel of nonfinancial firms. An advantage of our “ground-up” approach is that we are able to construct matched portfolios of equity returns, which allows us to examine the information content of bond spreads that is orthogonal to the information contained in stock prices of the same set of firms, as well as in macroeconomic variables measuring economic activity, inflation, interest rates, and other financial indicators. Our portfolio-based bond spreads contain substantial predictive power for economic activity and outperform—especially at longer horizons—standard default-risk indicators. Much of the predictive power of bond spreads for economic activity is embedded in securities issued by intermediate-risk rather than high-risk firms. According to impulse responses from a structural factor-augmented vector autoregression, unexpected increases in bond spreads cause large and persistent contractions in economic activity. Indeed, shocks emanating from the corporate bond market account for more than 30 percent of the forecast error variance in economic activity at the two- to four-year horizon. Overall, our results imply that credit market shocks have contributed significantly to US economic fluctuations during the 1990-2008 period.     

Value investing in credit markets

We outline a parsimonious empirical model to assess the relative usefulness of accounting- and equity market-based information to explain corporate credit spreads. The primary determinant of corporate credit spreads is the physical default probability. We compare existing accounting-based and market-based models to forecast default. We then assess whether the credit market completely incorporates this default information into credit spreads. We find that credit spreads reflect information about forecasted default rates with a significant lag. This unique evidence suggests a role for value investing in credit markets.     

The Determination of the Seniority Structure of Debt: Theory and Evidence

The purposes of this paper are to provide a theory of determining the firm's optimal seniority structure of debt and examine the relation between the firm's seniority structure of debt and its characteristics. Unlike previous studies, we develop a theoretical model which explicitly includes the benefits and costs associated with senior debt financing, corporate taxes, risk-aversion in the capital market, and costs of financial distress. We next show how a value-maximized firm searches for the optimal trade-off among the present values of the tax advantage of debt, loss of tax credits, expected costs of financial distress, costs of senior debt financing, and benefit of limited liability. Numerical analysis results show that the firm's value is not only a strictly concave function of its capital structure (with a unique global maximum), but also a strictly concave function of its mix of senior and junior debts (with a unique global maximum). We then show that a firm's optimal seniority structure of debt (i.e. the market value of senior debt divided by the sum of the market values of senior and junior debts) increases for low levels of asset riskiness and decreases when asset riskiness becomes sufficiently great. Our model also suggests that a firm's optimal seniority structure of debt increases for low levels of growth opportunities and decreases for high levels of growth opportunities. We test the predictions of our model on the relation between the firm's seniority structure of debt and its characteristics by using the data for the firms in COMPUSTAT over the 1972 through 1991 time period. The empirical evidence is consistent with our theoretical predictions.     

Sarbanes-Oxley Act and corporate credit spreads

Stock market reaction suggests that despite improved disclosure and increased accountability, Sarbanes-Oxley Act (SOX) is too costly and not beneficial. Noting that bondholders are likely to reap the many potential benefits of SOX without bearing the brunt of costs, we examine how SOX affected corporate credit spreads to better assess its benefits. SOX has led to a significant structural decline in spreads of at least 27 basis points. Riskier firms (low rating, long maturity, high leverage, and small size) and firms closely related to SOX major provisions (earning variability, managerial trading, and corporate governance) experience greater declines in spreads.     

On the Relative Pricing of Long‐Maturity Index Options and Collateralized Debt Obligations

We investigate a structural model of market and firm‐level dynamics in order to jointly price long‐dated S&P 500 index options and CDO tranches of corporate debt. We identify market dynamics from index option prices and idiosyncratic dynamics from the term structure of credit spreads. We find that all tranches can be well priced out‐of‐sample before the crisis. During the crisis, however, our model can capture senior tranche prices only if we allow for the possibility of a catastrophic jump. Thus, senior tranches are nonredundant assets that provide a unique window into the pricing of catastrophic risk.     

A bridge from ruin theory to credit risk

The structural model uses the firm-value process and the default threshold to obtain the implied credit spread. Merton’s (J Finance 29:449–470, 1974) credit spread is reported too small compared to the observed market spread. Zhou (J Bank Finance 25:2015–2040, 2001) proposes a jump-diffusion firm-value process and obtains a credit spread that is closer to the observed market spread. Going in a different direction, the reduced-form model uses the observed market credit spread to obtain the probability of default and the mean recovery rate. We use a jump-diffusion firm-value process and the observed credit spread to obtain the implied jump distribution. Therefore, the discrepancy in credit spreads between the structural model and the reduced-form model can be removed. From the market credit spread, we obtain the implied probability of default and the mean recovery rate. When the solvency-ratio process in credit risk and the surplus process in ruin theory both follow jump-diffusion processes, we show a bridge between ruin theory and credit risk so that results developed in ruin theory can be used to develop analogous results in credit risk. Specifically, when the jump is Logexponentially distributed, it results in a Beta distributed recovery rate that is close to market experience. For bonds of multiple seniorities, we obtain closed-form solutions of the mean and variance of the recovery rate. We prove that the defective renewal equation still holds, even if the jumps are possibly negative. Therefore, we can use ruin theory as a methodology for assessing credit ratings.      

Modelling bonds and credit default swaps using a structural model with contagion

This paper develops a two-dimensional structural framework for valuing credit default swaps and corporate bonds in the presence of default contagion. Modelling the values of related firms as correlated geometric Brownian motions with exponential default barriers, analytical formulae are obtained for both credit default swap spreads and corporate bond yields. The credit dependence structure is influenced by both a longer-term correlation structure as well as by the possibility of default contagion. In this way, the model is able to generate a diverse range of shapes for the term structure of credit spreads using realistic values for input parameters.     

The term structure of credit spreads with jump risk

Default risk analysis is important for valuing corporate bonds, swaps, and credit derivatives and plays a critical role in managing the credit risk of bank loan portfolios. This paper offers a theory to explain the observed empirical regularities on default probabilities, recovery rates, and credit spreads. It incorporates jump risk into the default process. With the jump risk, a firm can default instantaneously because of a sudden drop in its value. As a result, a credit model with the jump risk is able to match the size of credit spreads on corporate bonds and can generate various shapes of yield spread curves and marginal default rate curves, including upward-sloping, downward-sloping, flat, and hump-shaped, even if the firm is currently in a good financial standing. The model also links recovery rates to the firm value at default so that the variation in recovery rates is endogenously generated and the correlation between recovery rates and credit ratings before default reported in Altman [J. Finance 44 (1989) 909] can be justified.     

A Multifactor Model of Credit Spreads

We represent credit spreads across ratings as a function of common unobservable factors of the Vasicek form. Using a state-space approach we estimate the factors, their process parameters, and the exposure of each observed credit spread series to each factor. We find that most of the systematic variation across credit spreads is captured by three factors. The factors are closely related to the implied volatility index (VIX), the long bond rate, and S&P500 returns, supporting the predictions of structural models of default at an aggregate level. By making no prior assumption about the determinants of yield spread dynamics, our study provides an original and independent test of theory. The results also contribute to the current debate about the role of liquidity in corporate yield spreads. While recent empirical literature shows that the level and time-variation in corporate yield spreads is driven primarily by a systematic liquidity risk factor, we find that the three most important drivers of yield spread levels relate to macroeconomic variables. This suggests that if credit spread levels do contain a large liquidity premium, the time variation of this premium is likely driven by the same factors as default risk.     

Credit Spreads in Illiquid Markets: Model and Implementation

This paper presents a methodology for estimating a family of credit spread term structures in a market with few transactions. The authors propose partitioning the market into risk classes and modeling credit spread term structures for each risk class using a multifactor Vasicek model with some common and some risk class-specific factors. The approach uses information on the cross section and time series of corporate bonds in all the risk classes to estimate the term structure of credit spreads in each risk class. The model is jointly estimated using an extended Kalman filter and implemented using Chilean corporate and government bonds.     

信息不对称与企业债券信用风险估价——基于2008-2011年中国企业债券数据

企业债券发行者与投资者之间的信息不对称,导致投资者因为承担更大的风险而要求更高的回报,从而推高企业债券发行者的信用利差。本文利用2008年12月31日至2011年12月31日中国非上市企业债券数据,实证检验企业债券发行者和投资者之间的信息不对称对企业债券信用利差的影响。我们发现,企业债券发行者和投资者之间的信息不对称程度与企业债券信用利差之间存在显著的正相关性。同时,本文构建了包含信息不对称的企业债券信用风险估价模型。与传统的BS估价模型相比,本文构建的估价模型能更好地拟合实际信用利差。     

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.     

A Simple Approach to Valuing Risky Fixed and Floating Rate Debt

We develop a simple approach to valuing risky corporate debt that incorporates both default and interest rate risk. We use this approach to derive simple closed-form valuation expressions for fixed and floating rate debt. The model provides a number of interesting new insights about pricing and hedging corporate debt securities. For example, we find that the correlation between default risk and the interest rate has a significant effect on the properties of the credit spread. Using Moody's corporate bond yield data, we find that credit spreads are negatively related to interest rates and that durations of risky bonds depend on the correlation with interest rates. This empirical evidence is consistent with the implications of the valuation model.     

Liquidity and Credit Risk

We develop a structural bond valuation model to simultaneously capture liquidity and credit risk. Our model implies that renegotiation in financial distress is influenced by the illiquidity of the market for distressed debt. As default becomes more likely, the components of bond yield spreads attributable to illiquidity increase. When we consider finite maturity debt, we find decreasing and convex term structures of liquidity spreads. Using bond price data spanning 15 years, we find evidence of a positive correlation between the illiquidity and default components of yield spreads as well as support for downward‐sloping term structures of liquidity spreads.     

CREDIT SPREADS AND THE ZERO‐COUPON TREASURY SPOT CURVE

We examine the relation between credit spreads on industrial bonds and the underlying Treasury term structure. We use zero‐coupon spot rates to eliminate the coupon bias and to allow for a consistent study both within and across the different credit ratings. Our results indicate that the level and slope of the Treasury term structure are negatively correlated with changes in the credit spread on investment‐grade corporate bonds. We also find that the relation between credit spreads and the Treasury term structure is relatively stable through time. This is good news for value‐at‐risk calculations, as this suggests that the correlations among assets of different credit classes are stable; therefore use of historic correlations to model spread relations can be valid.     

What determines the Japanese corporate credit spread? A new evidence

This paper investigates the determinants of the corporate credit spreads changes in the Japanese bond markets. We show that the business cycle risk and market skewness risk affect changes in the credit spread in Japan even after controlling for the frequently used variables. We also find that the magnitude of market skewness risk is relatively higher for low-rated bonds. Our results are robust to changes in credit ratings, different maturity groups and time periods around the recent global financial crisis.     

The search for relative value in bonds

Comparing asset swap spreads across bonds is a widely used tool for measuring relative value. This approach leads portfolio managers to increase their risk exposure in ways that are not transparent. Credit default swaps are utilized to demonstrate that viewing wide asset swaps as an indicator of relative value is a mirage. The paper documents the empirical regularities in the term structure of credit spreads and spread volatilities that make this result possible. In addition, we present empirical evidence of the imprint made on corporate bond returns by the widespread use of the asset swaps data.     

Maturity and Corporate Loan Pricing

We investigate the relation between corporate loan spreads and maturity to test whether lenders are compensated for longer maturity loans (tradeoff hypothesis) or limit their exposure by forcing riskier borrowers to take short‐term loans (credit‐quality hypothesis). Earlier studies reject the tradeoff hypothesis. We use the LPC DealScan database to create a matched sample of pairs of loans to the same borrower on the same day holding credit quality constant. We perform mean of difference tests and cross‐sectional and regression analyses, and find evidence supporting both the tradeoff and credit quality hypotheses.     

The joint estimation of term structures and credit spreads

We present a new framework for the joint estimation of the default-free government term structure and corporate credit spread curves. By using a data set of liquid, German mark denominated bonds, we show that this yields more realistic spreads than traditionally obtained spread curves that result from subtracting independently estimated government and corporate term structures. The obtained spread curves are smooth functions of time to maturity, as opposed to the twisting curves one gets from the traditional method, and are less sensitive to model specifications. To determine the ‘optimal’ model specification, we use a newly developed test statistic that compares spread curves from competing models.