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In this work we want to provide a general principle to evaluate the CVA (Credit Value Adjustment) for a vulnerable option, that is an option subject to some default event, concerning the solvability of the issuer. CVA is needed to evaluate…

Computational Finance · Quantitative Finance 2019-07-31 Elisa Alos , Fabio Antonelli , Alessandro Ramponi , Sergio Scarlatti

In this work we present a general representation formula for the price of a vulnerable European option, and the related CVA in stochastic (either rough or not) volatility models for the underlying's price, when admitting correlation with…

Computational Finance · Quantitative Finance 2022-04-26 Elisa Alòs , Fabio Antonelli , Alessandro Ramponi , Sergio Scarlatti

A key driver of Credit Value Adjustment (CVA) is the possible dependency between exposure and counterparty credit risk, known as Wrong-Way Risk (WWR). At this time, addressing WWR in a both sound and tractable way remains challenging:…

Mathematical Finance · Quantitative Finance 2016-11-10 Damiano Brigo , Frédéric Vrins

The two main issues for managing wrong way risk (WWR) for the credit valuation adjustment (CVA, i.e. WW-CVA) are calibration and hedging. Hence we start from a novel model-free worst-case approach based on static hedging of counterparty…

Pricing of Securities · Quantitative Finance 2021-10-11 Chris Kenyon , Andrew Green

We consider the problem of computing the Value Adjustment of European contingent claims when default of either party is considered, possibly including also funding and collateralization requirements. As shown in Brigo et al. (\cite{BLPS},…

Pricing of Securities · Quantitative Finance 2020-07-16 Fabio Antonelli , Alessandro Ramponi , Sergio Scarlatti

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…

Pricing of Securities · Quantitative Finance 2010-02-03 Damiano Brigo , Andrea Pallavicini , Vasileios Papatheodorou

A positive correlation between exposure and counterparty credit risk gives rise to the so-called Wrong-Way Risk (WWR). Even after a decade of the financial crisis, addressing WWR in both sound and tractable ways remains challenging.…

Risk Management · Quantitative Finance 2021-07-15 Ashish Kumar , Laszlo Markus , Norbert Hari

Credit Valuation Adjustment is a balance sheet item which is nowadays subject to active risk management by specialized traders. However, one of the most important risk factors, which is the vector of default intensities of the counterparty,…

Computational Finance · Quantitative Finance 2024-09-24 Roberto Daluiso

We depart from the usual methods for pricing contracts with the counterparty credit risk found in most of the existing literature. In effect, typically, these models do not account for either systemic effects or at-first-default contagion…

Pricing of Securities · Quantitative Finance 2013-07-25 Cyril Durand , Marek Rutkowski

Credit Value Adjustment (CVA) is the difference between the value of the default-free and credit-risky derivative portfolio, which can be regarded as the cost of the credit hedge. Default probabilities are therefore needed, as input…

Mathematical Finance · Quantitative Finance 2018-06-21 Ola Hammarlid , Marta Leniec

This article presents a generic model for pricing financial derivatives subject to counterparty credit risk. Both unilateral and bilateral types of credit risks are considered. Our study shows that credit risk should be modeled as American…

Pricing of Securities · Quantitative Finance 2018-04-09 David Lee

In a series of recent papers, Damiano Brigo, Andrea Pallavicini, and co-authors have shown that the value of a contract in a Credit Valuation Adjustment (CVA) setting, being the sum of the cash flows, can be represented as a solution of a…

Probability · Mathematics 2020-10-30 Aditi Dandapani , Philip Protter

Credit Valuation Adjustment (CVA) pricing models need to be both flexible and tractable. The survival probability has to be known in closed form (for calibration purposes), the model should be able to fit any valid Credit Default Swap (CDS)…

Mathematical Finance · Quantitative Finance 2018-01-18 Cheikh Mbaye , Frédéric Vrins

The importance of counterparty credit risk to the derivative contracts was demonstrated consistently throughout the financial crisis of 2008. Accurate valuation of Credit value adjustment (CVA) is essential to reflect the economic values of…

Computational Finance · Quantitative Finance 2010-10-11 Dongsheng Lu , Frank Juan

Wrong-Way Risk (WWR) is an important component in Funding Valuation Adjustment (FVA) modelling. Yet, the standard assumption is independence between market risks and the counterparty defaults and funding costs. This typical industrial…

Computational Finance · Quantitative Finance 2024-06-07 T. van der Zwaard , L. A. Grzelak , C. W. Oosterlee

This study contributes to understanding Valuation Adjustments (xVA) by focussing on the dynamic hedging of Credit Valuation Adjustment (CVA), corresponding Profit & Loss (P&L) and the P&L explain. This is done in a Monte Carlo simulation…

Computational Finance · Quantitative Finance 2022-04-07 T. van der Zwaard , L. A. Grzelak , C. W. Oosterlee

Credit Valuation Adjustment captures the difference in the value of derivative contracts when the counterparty default probability is taken into account. However, in the context of a network of contracts, the default probability of a direct…

Risk Management · Quantitative Finance 2023-05-29 Irena Barjašić , Stefano Battiston , Vinko Zlatić

Wrong-way risk in counterparty and funding exposures is most dramatic in the situations of systemic crises and tails events. A consistent model of wrong-way risk (WWR) is developed here with the probability-weighted addition of tail events…

Pricing of Securities · Quantitative Finance 2012-08-28 Mihail Turlakov

Valuation of Credit Valuation Adjustment (CVA) has become an important field as its calculation is required in Basel III, issued in 2010, in the wake of the credit crisis. Exposure, which is defined as the potential future loss of a default…

Computational Finance · Quantitative Finance 2014-12-12 Q. Feng , C. W. Oosterlee

We analyze the counterparty risk embedded in CDS contracts, in presence of a bilateral margin agreement. First, we investigate the pricing of collateralized counterparty risk and we derive the bilateral Credit Valuation Adjustment (CVA),…

Risk Management · Quantitative Finance 2011-08-23 Tomasz R. Bielecki , Igor Cialenco , Ismail Iyigunler
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