Credit Derivatives and the Default Risk of Large Complex Financial Institutions

This paper proposes and implements a multivariate model of the coevolution of the first and second moments of two broad credit default swap indices and the equity prices of sixteen large complex financial institutions. We use this empirical model to build a bank default risk model, in the vein of the classic Merton-type, which utilises a multi-equation framework to model forward-looking measures of market and credit risk using the credit default swap (CDS) index market as a measure of the conditions of the global credit environment. In the first step, we estimate the dynamic correlations and volatilities describing the evolution of the CDS indices and the banks’ equity prices and then impute the implied assets and their volatilities conditional on the evolution and volatility of equity. In the second step, we show that there is a substantial ‘asset shortfall’ and that substantial capital injections and/or asset insurance are required to restore the stability of our sample institutions to an acceptable level following large shocks to the aggregate level of credit risk in financial markets.     

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.     

Market Price of Insurance Risk Implied by Catastrophe Derivatives

Abstract

Insurance derivatives facilitate the trading of insurance risks on capital markets, such as catastrophe derivatives that were traded on the Chicago Board of Trade. Simultaneously, insurance risks are traded through reinsurance portfolios. In this paper we make inferences about the market price of risk implied by the information embedded in the prices of these two assets.     

Implied Default Probability and Credit Derivatives

Recently many kinds of credit derivatives are traded in the market. The default probability implied in the market becomes important to price some credit derivatives. Also it is useful for managing the credit risk because it includes the market information. In this paper we show how to calculate the implied default probability in the default swap market or the defaultable bond market.This paper is developed from author’s master thesis (Matsumoto, 2000), Graduate School of Systems Management, the University of Tsukuba.     

Default Risk Estimation,Bank Credit Risk,and Corporate Governance

This study explores the relationship between credit risks of banks and the corporate governance structures of these banks from the perspective of creditors. The cumulative default probabilities are estimated for a sample of US commercial and savings banks to measure their risk taking behavior. The results show that one year and five year cumulative default probabilities are time‐varying, with a significant jump observed in the year prior to the financial crisis of 2008–09. Generally speaking, corporate governance structures have a greater impact on US commercial banks than on savings institutions. We provide evidence that, after controlling for firm specific characteristics, commercial banks with larger boards and older CFOs are associated with significantly lower credit risk levels. Lower ownership by institutional investors and more independent boards also have lower credit risk levels, although these effects are somewhat less significant. For all the banks in our sample, large board size, older CFO, and less busy directors are associated with lower credit risk levels. When we restrict the sample to consider the joint effects of the governance variables, the results on board size and busy directors are maintained.     

Default Risk, Asset Pricing, and Debt Control

The pricing and control of firms’ debt has become a majorissue since Merton’s (1974) seminal article. Yet Mertonas well as other recent theories presume that the asset valueof the firm is independent of the debt of the firm. However,when using debt finance, firms may have to pay a premium foran idiosyncratic default risk and may face debt constraints.We demonstrate that firm-specific debt constraints and endogenousrisk premia, based on collateralized borrowing, affect the assetvalue of the firm and, in turn, the collateral value of thefirm. In order to explore the interdependence of debt financeand asset pricing of firms, we endogenize default premia andborrowing constraints in a production-based asset pricing model.In this context then the dynamic decision problem of maximizingthe present value of the firm faces an additional constraintgiving rise to the debt-dependent firm value. We solve for theasset value of the firm with debt finance by the use of numericaldynamic programming. This allows us to solve the debt controlproblem and to compute sustainable debt as well as the firm’sdebt value.     

Pricing Mortgage Insurance with Asymmetric Jump Risk and Default Risk: Evidence in the U.S. Housing Market

This study provides the valuation of mortgage insurance (MI) considering upward and downward jumps in housing prices, which display separate distributions and probabilities of occurrence, and the mortgage insurer??s default risk. The empirical results indicate that the asymmetric double exponential jump diffusion performs better than the log-normally distributed jump diffusion and the Black-Scholes model, generally used in previous literature, to fit the single-family mortgage national average of all home prices in the US. Finally, the sensitivity analysis shows that the MI premium is an increasing function of the normal volatility, the mean down-jump magnitudes, the shock frequency of the abnormal bad events, and the asset-liability structure of the mortgage insurer. In particular, the shock frequency of the abnormal bad events has the largest effect of all parameters on the MI premium. The asset-liability structure of the mortgage insurer and shock frequency of the abnormal bad events have a larger effect of all parameters on the default risk premium.     

Systemic Risk,Financial Crisis,and Credit Risk Insurance

Differing from conventional insurance firms whose underwriting business does not contribute to systemic risk, credit risk insurance companies providing credit protections for debt obligations are exposed to systemic risk. We show that credit risk insurers (CRIs) underperformed conventional insurance companies during the 2007–2009 financial crisis, and such underperformance is attributed to the greater systemic risk of CRIs. We also find that the credit spreads of insured bonds increase significantly after their insurers are downgraded or put in the negative watch list. We control for alternative factors affecting bond credit spreads and the result is robust.     

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.     

债券违约聚集、风险传染与企业流动性管理

本文采用双重差分方法,研究中国发债上市公司在流动性冲击下的企业现金持有、流动性工具选择以及传导机制。研究表明:流动性冲击下,债务依赖度高的企业会增持现金进行流动性管理而非利用银行授信;国企和公司治理能力强的企业在面临流动性冲击时会增持现金;企业在面临流动性管理时会考虑自身抵押贷款能力而非破产风险。企业在流动性困境中应增强对现金流的管理,提升资产抵押和公司治理能力;商业银行应实行抵押资产多元化,充分发挥银行授信作用。     

Equity Risk, Conversion Risk, and the Demand for Insurance

Existing insurance theory fails when applied to real property because it does not account for variations in the economic environment. The article studies optimal property insurance in the presence of two sources of variation: equity risk and conversion risk. Equity risk is randomness of the value of a property. It tends to raise demand for conventional insurance. In contrast, conversion risk is randomness in the value the property would have if, after severe damage, it were converted to the highest‐valued use. It is distinct from equity risk because the highest‐valued use is typically not the current one. Under independent conversion risk, the optimum upper limit is a compromise among underlying conversion thresholds. Absent independence, the optimum can be quite different. Conversion risk can raise or lower the demand for property insurance. Insurance contracts that fail to address conversion tend to undermine the orderly disposition of obligations and reduce the gains from reallocation of risks through insurance.     

Default Risk in Equity Returns

This is the first study that uses Merton's (1974) option pricing model to compute default measures for individual firms and assess the effect of default risk on equity returns. The size effect is a default effect, and this is also largely true for the book‐to‐market (BM) effect. Both exist only in segments of the market with high default risk. Default risk is systematic risk. The Fama–French (FF) factors SMB and HML contain some default‐related information, but this is not the main reason that the FF model can explain the cross section of equity returns.     

The Default Risk of Swaps

We characterize the exchange of financial claims from risky swaps. These transfers are among three groups: shareholders, debtholders, and the swap counterparty. From this analysis we derive equilibrium swap rates and relate them to debt market spreads. We then show that equilibrium swaps in perfect markets transfer wealth from shareholders to debtholders. In a simplified case, we obtain closed-form solutions for the value of the default risk in the swap. For interest-rate swaps, we obtain numerical solutions for the equilibrium swap rate, including default risk. We compare these with equilibrium debt market default risk spreads.     

Strategic Default and Equity Risk Across Countries

We show that the prospect of a debt renegotiation favorable to shareholders reduces the firm's equity risk. Equity beta and return volatility are lower in countries where the bankruptcy code favors debt renegotiations and for firms with more shareholder bargaining power relative to debt holders. These relations weaken as the country's insolvency procedure favors liquidations over renegotiations. In the limit, when debt contracts cannot be renegotiated, equity risk is independent of shareholders' incentives to default strategically. We argue that these findings support the hypothesis that the threat of strategic default can reduce the firm's equity risk.     

Default Risk in Corporate Yield Spreads

An important research question examined in the credit risk literature focuses on the proportion of corporate yield spreads attributed to default risk. This topic is reexamined in light of the different issues associated with the computation of default probabilities obtained from historical default data. We find that the estimated default risk proportion in corporate yield spreads is sensitive to the ex ante estimated term structure of default probabilities used as inputs. This proportion can become a large fraction of the spread when sensitivity analyses are made with respect to the period over which the probabilities are estimated and the recovery rates.