The purpose of this paper is introducing rigorous methods and formulas for bilateral counterparty risk credit valuation adjustments (CVA's) on interest-rate portfolios. In doing so, we summarize the general arbitrage-free valuation framework for counterparty risk adjustments in presence of...

In this paper we apply the multivariate construction for Lévy processes introduced by Ballotta and Bonfiglioli (2014) to propose an integrated model for the joint dynamics of FX exchange rates and asset prices. We show that the proposed construction is consistent in terms of symmetries with...

As observed in the financial crisis, CDS spreads tend to increase simutaneously as a reaction to common shocks. Focusing on the spillover effects triggered by extreme events, we propose a credit risk analysis tool by applying credit default swap spread returns to the concept of 4CoVaR suggested...

Motivated by discrepancies of the Black & Scholes model with observed market data, stochastic volatility and Levy models are often seen as an alternative. These models are capable of mimicking real world price processes and replicating implied option volatilities for plain-vanilla products....

Following the reduced-form models of Duffee (1999) and Jarrow, Lando and Yu (2005), this study investigates the risk diversification issue of corporate bond portfolios. Considering especially long run market behavior, our empirical decomposition of corporate bond yield spreads indicates that the...

This paper considers a simple model of credit risk and derives the limit distribution of losses under different assumptions regarding the structure of systematic and idiosyncratic risks and the nature of firm heterogeneity. It documents a rich and complex interaction between the underlying model...

After the recent financial crisis (2007-2010), many doubts on the reliability of the mathematical models to measure the financial risks have arisen. As a consequence, model risk has been a source of concern for financial regulators. This risk includes, among others, incorrect mathematical...

Using a structural model of default, we construct a measure of systemic default defined as the probability that many firms default at the same time. We account for correlations in defaults between firms through exposures to common shocks. The systemic default measure spikes during recession...

We put forward a framework for measuring systemic risk and attributing it to individual banks. Systemic risk is measured as the expected loss to depositors and investors when a low-probability systemic event occurs. The risk contributions are calculated based on derivatives of the systemic risk...

We put forward a Merton-type multi-factor portfolio model for assessing banks’ contributions to systemic risk. This model accounts for the major drivers of banks’ systemic relevance: size, default risk and correlation of banks’ assets as a proxy for interconnectedness. We measure systemic...