We describe a fast new method for the market implied calibration of the Heston (1993) model for equity, based on an improved version of the parabolic pricing algorithm of Levendorskii (2012). This pricing method, when used in the calibration, is much faster and more accurate, and better...

The estimate of the probability of default plays a central role for any financial entity that wants to have an overview of the risks of insolvency it may incur by having economic relations with counterparties. This study aims to analyze the calculation of such measure in the context of...

This paper addresses the building of obligor-level hazard rate corporate probability of default models for stress testing, departing from the predominant practice in wholesale credit modeling of constructing segment-level models for this purpose. We build models based upon varied financial,...

Many economic and econometric applications require the integration of functions lacking a closed form antiderivative, which is therefore a task that can only be solved by numerical methods. We propose a new family of probability densities that can be used as substitutes and have the property of...

According to Basel III, financial institutions have to charge a Credit Valuation Adjustment (CVA) to account for a possible counterparty default. Calculating this measure and its sensitivities is one of the big challenges in risk management. Here we introduce an efficient method for the...

We analyze trading opportunities that arise from differences between the bond and the CDS market. By simultaneously entering a position in a CDS contract and the underlying bond, traders can build a default-risk free position that allows them to repeatedly earn the difference between the bond...