Numerical valuation of basket credit derivatives in structural jump-diffusion models

Valuation of Basket Credit Derivatives in the Credit Migrations Environment

The goal of this work is to present a methodology aimed at valuation and hedging of basket credit derivatives, as well as of portfolios of credits/loans, in the context of several possible credit ratings of underlying credit instruments. The methodology is based on a specific Markovian model of a financial market. The research of T.R. Bielecki was supported by NSF Grant 0202851 and Moody’s Corp...

Estimating Jump Diffusion Structural Credit Risk Models

There is strong evidence that structural models of credit risk significantly underestimate both credit yield spreads and the probability of default if the value of corporate assets follows a diffusion process. Adding a jump component to the firm value process is a potential remedy for the underestimation. However, there are very few empirical studies of jump-diffusion (or Levy) structural model...

Approximate Basket Options Valuation for a Jump-Diffusion Model

In this paper we discuss the approximate basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated diffusion processes with idiosyncratic and systematic jumps. We suggest a new approximate pricing formula which is the weighted sum of Roger and Shi’s lower bound and the conditional second moment adjustments. We show the approximate value is always wi...

Semi-Analytical Valuation of Basket Credit Derivatives in Intensity-Based Models

This paper presents a semi-analytical valuation method for basket credit derivatives in a flexible intensity-based model. Default intensities are modeled as correlated affine jump-diffusions. An empirical application documents that the model fits market prices of benchmark basket credit derivatives reasonably well, consistent with the observed correlation skew. Hence, I argue, contrary to comme...

Hedging of Basket Credit Derivatives in Credit Default Swap Market