In our project we have used parametric simulation and filtered historical simulation by GARCH processes to model the future position on a portfolio of some actively trading S&P bonds and related credit default swaps. The portfolio is marked to market daily based on the daily prices and CDS spreads over a seven year period. The Credit default swaps are priced daily based on the shifts in the def...

Determining contributions to overall portfolio risk is an important topic in risk management. For positions (instruments and sub-portfolios), this problem has been well studied, and a significant theory built, around the calculation of marginal contributions. We consider the problem of determining the contributions to portfolio risk of risk factors. This cannot be addressed through an immediate...

We propose a new framework for modeling systematic risk in LossGiven-Default (LGD) in the context of credit portfolio losses. The class of models is very flexible and accommodates well skewness and heteroscedastic errors. The quantities in the models have simple economic interpretation. Inference of models in this framework can be unified. Moreover, it allows efficient numerical procedures, suc...

This paper sets out to estimate expected lifetime of revolving credit facilities (e.g. credit card products) and is motivated by the introduction of the International Financial Reporting Standard 9 (IFRS 9) and its requirements for loan impairments. The reporting entity is required to estimate lifetime expected credit losses for certain financial instruments. In practice, maximum contractual pe...

The corporate credit risk literature has many studies modelling the change in the credit risk of corporate bonds over time. There is far less analysis of the credit risk for portfolios of consumer loans. However behavioural scores, which are commonly calculated on a monthly basis by most consumer lenders are the analogues of ratings in corporate credit risk. Motivated by studies in corporate cr...

The objective of this article is to prepare a time-inhomogeneous intensity model for valuing cash-flow CDOs, which explicitly incorporates the credit rating of the firms in the collateral portfolio as the indicator of the likelihood of default. Our model can prove very useful for the pricing, structuring, rating and risk management of CDO notes, whenever the legal structure of the transaction, ...

This paper presents a dynamic portfolio credit model following the regulatory framework, using macroeconomic and latent risk factors to predict the aggregate loan portfolio loss in a banking system. The latent risk factors have three levels: global across the entire banking system, parent-sectoral for the intermediate loan sectors and sector-specific for the individual loan sectors. The aggrega...

The asymptotic single risk factor (ASRF) approach is a simplified framework for determining regulatory capital charges for credit risk and has become an integral part of how credit risk capital requirements are to be determined under the second Basel Accord. Within this approach, a key regulatory parameter is the average asset correlation. In this paper, we examine the empirical relationship be...

We present a structural jump-diffusion credit-portfolio model which models the loss distribution and dependence structure of the portfolio dynamically. We are able to obtain the log-asset correlation analytically and precise estimates of the term-structure of default correlations within the model. The models allows the simultaneous pricing of bonds, CDS and portfolio derivatives across all matu...

Resampling implementation of a stress-scenario approach to estimating portfolio default loss distributions is proposed as the basis for estimates of the appropriate absolute level of economic capital allocations for portfolio credit risk. Estimates are presented for stress scenarios of varying severity and implications of different time horizons are analyzed. Results for a numeraire portfolio a...