Taxes,Default Risk,and Yield Spreads

This paper develops a model of bond prices and yield spreads that incorporates the effect of both taxes and differences in default probabilities. The tax loss consequences of default are recognized. Traditionally, tax-free (municipal) bond yields have been viewed as linearly related to taxable yields with a slope coefficient equal to one minus the tax rate and the intercept representing differences in default risk. While our model supports the linearity assumption, it implies that the slope and intercept are both functions of both the break-even tax rate and the default probability(ies). Clientele effects among both municipal and taxable bonds are demonstrated. Finally, the implied marginal tax rates and the implied default probabilities are estimated for different categories of municipal bonds.     

Municipal Bond Liquidity and Default Risk

This paper examines the pricing of municipal bonds. I use three distinct, complementary approaches to decompose municipal bond spreads into default and liquidity components, and find that default risk accounts for 74% to 84% of the average spread after adjusting for tax‐exempt status. The first approach estimates the liquidity component using transaction data, the second measures the default component with credit default swap data, and the third is a quasi‐natural experiment that estimates changes in default risk around pre‐refunding events. The price of default risk is high given the rare incidence of municipal default and implies a high risk premium.     

Bond Yields,Taxes, and the Dimensions of Default Risk

This work develops and empirically estimates models of bond yields subject to default risk. Parameters for the probability of survival and the recovery rate subsequent to default are included in a model of corporate bond yields that allow a study of interactions among them. The municipal version of the model includes the tax rate as an additional factor. Empirical evidence is found that supports the notion that both dimensions of default, considered jointly, are related to bond quality. In addition, statistically significant differences in tax rates suggest that higher tax rates are associated with higher grade municipal bonds.     

The delivery option in credit default swaps

Under standard assumptions the reduced-form credit risk model is not capable of accurately pricing the two fundamental credit risk instruments – bonds and credit default swaps (CDS) – simultaneously. Using a data set of euro-denominated corporate bonds and CDS our paper quantifies this mispricing by calibrating such a model to bond data, and subsequently using it to price CDS, resulting in model CDS spreads up to 50% lower on average than observed in the market. An extended model is presented which includes the delivery option implicit in CDS contracts emerging since a basket of bonds is deliverable in default. By using a constant recovery rate standard models assume equal recoveries for all bonds and hence zero value for the delivery option. Contradicting this common assumption, case studies of Chapter 11 filings presented in the paper show that corporate bonds do not necessarily trade at equal levels following default. Our extension models the implied expected recovery rate of the cheapest-to-deliver bond and, applied to data, largely eliminates the mispricing. Calibrated recovery values lie between 8% and 47% for different obligors, exhibiting strong variation among rating classes and industries. A cross-sectional analysis reveals that the implied recovery parameter depends on proxies for the delivery option, primarily the number of available bonds and bond pricing errors. No evidence is found for a direct influence of the bid-ask spread, notional amount, coupon, or rating used as proxies for bond market liquidity.     

Liquidity risk of corporate bond returns: conditional approach

We study the exposure of the US corporate bond returns to liquidity shocks of stocks and Treasury bonds over the period 1973–2007 in a regime-switching model. In one regime, liquidity shocks have mostly insignificant effects on bond prices, whereas in another regime, a rise in illiquidity produces significant but conflicting effects: Prices of investment-grade bonds rise while prices of speculative-grade (junk) bonds fall substantially (relative to the market). Relating the probability of these regimes to macroeconomic conditions we find that the second regime can be predicted by economic conditions that are characterized as “stress.” These effects, which are robust to controlling for other systematic risks (term and default), suggest the existence of time-varying liquidity risk of corporate bond returns conditional on episodes of flight to liquidity. Our model can predict the out-of-sample bond returns for the stress years 2008–2009. We find a similar pattern for stocks classified by high or low book-to-market ratio, where again, liquidity shocks play a special role in periods characterized by adverse economic conditions.     

Is Default Event Risk Priced in Corporate Bonds?

This article provides an empirical decomposition of the default,liquidity, and tax factors that determine expected corporatebond returns. In particular, the risk premium associated witha default event is estimated. The intensity-based model is estimatedusing bond price data for 104 US firms and historical defaultrates. Significant risk premia on common intensity factors andimportant tax and liquidity effects are found. These componentsgo a long way towards explaining the level of expected corporatebond returns. Adding a positive default event risk premium helpsto explain the remaining error, although this premium cannotbe estimated with high statistical precision.     

How much of the corporate bond spread is due to personal taxes?

Existing term structure models of defaultable bonds have often underestimated corporate bond spreads. A potential problem is that investors’ taxes are ignored in these models. We propose a pricing model that accounts for stochastic default probability and differential tax treatments for discount and premium bonds. By estimating parameters directly from bond data, we obtain significantly positive estimates for the income tax rate of a marginal corporate bond investor after 1986. This contrasts sharply with the previous finding that the implied tax rates for Treasury bonds are close to zero. Results show that taxes explain a substantial portion of corporate bond spreads.     

Municipal Debt and Marginal Tax Rates: Is There a Tax Premium in Asset Prices?

We study the marginal tax rate incorporated into short‐term municipal rates using municipal swap market data. Using an affine model, we identify the marginal tax rate and the credit/liquidity spread in 1‐week tax‐exempt rates, as well as their associated risk premia. The marginal tax rate averages 38.0% and is related to stock, bond, and commodity returns. The tax risk premium is negative, consistent with the strong countercyclical nature of after‐tax fixed‐income cash flows. These results demonstrate that tax risk is a systematic asset pricing factor and help resolve the muni‐bond puzzle.     

Liquidity risk and expected corporate bond returns

This paper studies the pricing of liquidity risk in the cross section of corporate bonds for the period from January 1994 to March 2009. The average return on bonds with high sensitivities to aggregate liquidity exceeds that for bonds with low sensitivities by about 4% annually. The positive relation between expected corporate bond returns and liquidity beta is robust to the effects of default and term betas, liquidity level, and other bond characteristics, as well as to different model specifications, test methodologies, and a variety of liquidity measures. The results suggest that liquidity risk is an important determinant of expected corporate bond returns.     

Taxes on Tax‐Exempt Bonds

Implicit tax rates priced in the cross section of municipal bonds are approximately two to three times as high as statutory income tax rates, with implicit tax rates close to 100% using retail trades and above 70% for interdealer trades. These implied tax rates can be identified because a portion of secondary market municipal bond trades involves income taxes. After valuing the tax payments, market discount bonds, which carry income tax liabilities, trade at yields around 25 basis points higher than comparable municipal bonds not subject to any taxes. The high sensitivities of municipal bond prices to tax rates can be traced to individual retail traders dominating dealers and other institutions.     

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.     

Corporate taxes,strategic default,and the cost of debt

The current US tax code’s loss carry provisions provide implicit tax subsidies to financially troubled firms. Since shareholders ultimately decide when to announce bankruptcy, such tax subsidies can incentivize them to strategically postpone default. Therefore, corporate taxation can influence corporate cost of debt. Using a large panel of corporate bonds, we find supporting evidence: credit spreads become smaller as tax loss carries grow larger. In contrast, tax shields such as depreciation, which limit loss carry gains, lead to wider spreads. Interestingly, when stockholders hold greater bargaining power – due to large managerial ownership – larger corporate tax shields lead to even narrower credit spreads.     

Determinants of bond tender premiums and the percentage tendered

We analyze a large sample of US corporate bond tender offers to understand what affects tender premiums as well as the percentage of bonds tendered. For the average (median) tender offer, the tender price is 5.55% (3.24%) greater than the pre-tender market price while the percentage of bonds tendered is 82.3% (94.6%). Premiums offered by firms are greater when the firm is simultaneously soliciting consents to amend restrictive covenants and when the bond has a greater number of restrictive covenants. Premiums are also greater when long-term risk-free yields are low and the yield curve is flatter – conditions where a firm might want to lock in favorable long-term rates by issuing new debt and retiring old debt. Bondholders respond to higher tender premiums by tendering a greater percentage of their bonds – a 1% increase in tender premium increases the tendering rate by approximately 9%. Bondholders also tender a greater percentage of bonds possessing less desirable characteristics such as a short remaining maturity or bonds that are simultaneously undergoing consent solicitations. Finally, we find that tender offers are easier to complete when bond ownership concentration is greater.     

Default risk cannot explain the Muni puzzle: evidence from municipal bonds that are secured by U.S. treasury obligations

Fama (1977) and Miller (1977) predict that one minus the corporatetax rate will equate after tax yields from comparable taxableand tax-exempt bonds. Empirical evidence shows that long-termtax-exempt yields are higher than theory predicts. Two popularexplanations for this empirical puzzle are that, relative totaxable bonds, municipal bonds bear more default risk and includecostly call options. I study U.S. government secured municipalbond yields which are effectively default-free and noncallable.These municipal yields display the same tendency to be too high.I conclude that differential default risk and call options donot explain the municipal bond puzzle.     

Downside risk and the size of credit spreads

We investigate why spreads on corporate bonds are so much larger than expected losses from default. Systematic factors make very little contribution to spreads, even if higher moments or downside effects are taken into account. Instead we find that sizes of spreads are strongly related to idiosyncratic-risk factors: not only to idiosyncratic equity volatility, but even more to idiosyncratic bond volatility and idiosyncratic bond value-at-risk. Idiosyncratic bond volatility helps to explain spreads because it reflects not just the distribution of firm value but is also a proxy for liquidity risk. Idiosyncratic bond value-at-risk adds to this by capturing the left-skewness of the firm-value distribution. We confirm our results both for the initial 1997-2004 sample period and also out of sample for 2005-2009, which includes the sub-prime crisis. Overall, credit spreads are large because they incorporate a large risk premium related to investors’ fears of extreme losses.     

DURATION,DEFAULT RISK,AND THE TERM STRUCTURE OF INTEREST RATES

We examine the interactive effect of default and interest rate risk on duration of defaultable bonds. We show that duration for defaultable bonds can be longer or shorter than default‐free bonds depending on the relation between default intensity and interest rates. Empirical evidence indicates that in most cases duration for defaultable bonds is much shorter than for their default‐free counterparts because of the negative relation between default risk and interest rates. Results suggest that the duration measure must be adjusted for the effects of default risk and stochastic interest rates to achieve an effective bond portfolio immunization.     

Rollover Risk and Credit Risk

Our model shows that deterioration in debt market liquidity leads to an increase in not only the liquidity premium of corporate bonds but also credit risk. The latter effect originates from firms' debt rollover. When liquidity deterioration causes a firm to suffer losses in rolling over its maturing debt, equity holders bear the losses while maturing debt holders are paid in full. This conflict leads the firm to default at a higher fundamental threshold. Our model demonstrates an intricate interaction between the liquidity premium and default premium and highlights the role of short‐term debt in exacerbating rollover risk.     

A liquidity-augmented capital asset pricing model

Using a new measure of liquidity, this paper documents a significant liquidity premium robust to the CAPM and the Fama–French three-factor model and shows that liquidity is an important source of priced risk. A two-factor (market and liquidity) model well explains the cross-section of stock returns, describing the liquidity premium, subsuming documented anomalies associated with size, long-term contrarian investment, and fundamental (cashflow, earnings, and dividend) to price ratios. In particular, the two-factor model accounts for the book-to-market effect, which the Fama–French three-factor model fails to explain.     

Trading and liquidity in the catastrophe bond market

We provide first insights into secondary market trading, liquidity determinants, and the liquidity premium of catastrophe bonds. Based on transaction data from TRACE (Trade Reporting and Compliance Engine), we find that cat bonds are traded less frequently during the hurricane season and more often close to maturity. Trading activity indicates that the market is dominated by brokers without a proprietary inventory. Liquidity is high in periods of high trading activity in the overall market and for bonds with low default risk or close to maturity, which results from lower order processing costs. Finally, using realized bid–ask spreads as a liquidity measure, we find that on average, 21% of the observable yield spread on the cat bond market is attributable to the liquidity premium, with a magnitude of up to 141 bps for high-risk bonds.     

The Default Premium and Corporate Bond Experience

The development of organized markets for speculative-grade corporate debt has provided financial researchers with an opportunity to examine the pricing of default risk. By incorporating previous work on the default experience of low-rated corporate debt, this paper presents an introduction to risk-neutral models of risky-bond pricing and uses these to examine the relationship between the default premium embodied in bond yields and actual default rates. The contribution of macroeconomic information to the default premium is also examined. The author finds that holders of low-grade bonds have, on average, been compensated for losses due to default.