Term structure modelling of defaultable bonds

In this paper we present a model of the development of the term structure of defaultable interest rates that is based on a multiple-defaults model. Instead of modelling a cash payoff in default we assume that defaulted debt is restructured and continues to be traded.The term structure of defaultable bond prices is represented in terms of defaultable forward rates similar to the Heath-Jarrow-Morton (HJM) (Heath et al., 1992) approach, and conditions are given under which the dynamics of these rates are arbitrage-free. These conditions are a drift restriction that is closely related to the HJM drift restriction for risk-free bonds, and the restriction that the defaultable short rate must always be not below the risk-free short rate. In its most general version the model is set in a marked point process framework, to allow for jumps in the defaultable rates at times of default.Financial Assistance by Deutsche Forschungsgemeinschaft, Sonderforschungsbereich 303, at the University of Bonn and the DAAD is gratefully acknowledged.I thank Pierre Mella-Barral, David Lando and David Webb for helpful conversations, and the participants of the FMG Conference on Defaultable Bonds (March 1997) in London and the QMF 97 conference in Cairns for helpful comments. All errors are of course my own.     

Modeling severity risk under PD–LGD correlation

In this article, a generic severity risk framework in which loss given default (LGD) is dependent upon probability of default (PD) in an intuitive manner is developed. By modeling the conditional mean of LGD as a function of PD, which also varies with systemic risk factors, this model allows an arbitrary functional relationship between PD and LGD. Based on this framework, several specifications of stochastic LGD are proposed with detailed calibration methods. By combining these models with an extension of CreditRisk+, a versatile mixed Poisson credit risk model that is capable of handling both risk factor correlation and PD–LGD dependency is developed. An efficient simulation algorithm based on importance sampling is also introduced for risk calculation. Empirical studies suggest that ignoring or incorrectly specifying severity risk can significantly underestimate credit risk and a properly defined severity risk model is critical for credit risk measurement as well as downturn LGD estimation.     

全方位抓电费回收工作

介绍了电费欠费主要原因和应采取的措施,对内应加强基础工作,责任到位,严格考核;对外应对欠费用户建立经济制约和有力的追缴措施。     

The Effect of Junk Bond Defaults on Common Stock Returns

This paper examines the effect of junk bond defaults on common stock returns. The evidence indicates that stockholders uncover the signs of financial distress long before the default date. Stock prices fall sharply at the time of the default announcement. Although stocks of fallen angel sample recover slowly and steadily after the default announcement, stocks of the original-issue junk bond sample continue to decline. On average, bankrupt firms suffer larger negative stock returns than defaulted firms not only at the time of announcement, but also in both pre- and post-event periods.     

Financial fragility,sovereign default risk and the limits to commercial bank bail-outs

We show that with intertwined weak banks and weak sovereigns, bank recapitalizations become much less effective. We construct a DSGE model with leverage constrained banks lending to firms and holding domestic government bonds. Bond prices reflect endogenously generated sovereign risk. This introduces a negative amplification cycle: after a credit crisis output losses increase more because higher interest rates trigger lower bond prices and subsequent losses at banks. This further tightens bank leverage constraints, and causes interest rates to rise further. Also bank recapitalizations are then much less effective. Recaps involve swaps of newly issued sovereign bonds for bank equity, the new debt increases sovereign debt discounts, leading to capital losses for the banks on their holdings of sovereign debt that (partially) offset the impact of the recapitalization. The favorable macroeconomic effects of bank recaps on the recovery after a financial crisis are correspondingly lower.     

A Dynamic Analysis of Fixed- and Adjustable-Rate Mortgage Terminations

This paper provides a side-by-side comparison of loan-level statistical models for fixed- and adjustable-rate mortgages. Multinomial logit models for quarterly conditional probabilities of default and prepayment are estimated. We find that the estimated impacts of embedded option values for prepayment and default are generally quite similar across both FRM and ARM loans, providing additional empirical support for the basic predictions of the options theory. We also find that differences in estimates of conditional probabilities of prepayment and default associated with mortgage age, origination period, original LTV, and relative loan size, indicate the continued significance of these other economic and demographic factors for empirical models of mortgage terminations.     

基于信息不对称非上市公司贷款违约研究

针对非上市企业融资困难的现状,从信息不对称角度出发,采用贷款抵押,利用修正的自由现金流模型估计非上市企业的价值,并结合企业的债务结构,建立了信息不对称下非上市企业信用风险模型,建立了企业的违约概率的预测模型,探讨了企业最大债务规模,并分析了贷款违约挽回率。     

On Models of Default Risk

We first discuss some mathematical tools used to compute the intensity of a single jump process, in its canonical filtration. In the second part, we try to clarify the meaning of default and the links between the default time, the asset's filtration, and the intensity of the default time. We finally discuss some examples.