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Related papers: Credit Valuation Adjustment in Credit Risk with Si…

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We propose a structural default model for portfolio-wide valuation adjustments (xVAs) and represent it as a system of coupled backward stochastic differential equations. The framework is divided into four layers, each capturing a key…

Computational Finance · Quantitative Finance 2025-02-24 Kristoffer Andersson , Alessandro Gnoatto

Credit (CVA), Debit (DVA) and Funding Valuation Adjustments (FVA) are now familiar valuation adjustments made to the value of a portfolio of derivatives to account for credit risks and funding costs. However, recent changes in the…

Pricing of Securities · Quantitative Finance 2014-10-27 Andrew Green , Chris Kenyon

We introduce an arbitrage-free framework for robust valuation adjustments. An investor trades a credit default swap portfolio with a risky counterparty, and hedges credit risk by taking a position in defaultable bonds. The investor does not…

Pricing of Securities · Quantitative Finance 2020-02-25 Maxim Bichuch , Agostino Capponi , Stephan Sturm

The main result of this paper is a collateralized counterparty valuation adjusted pricing equation, which allows to price a deal while taking into account credit and debit valuation adjustments (CVA, DVA) along with margining and funding…

Pricing of Securities · Quantitative Finance 2012-12-13 Andrea Pallavicini , Daniele Perini , Damiano Brigo

Bank behaviour is important for pricing XVA because it links different counterparties and thus breaks the usual XVA pricing assumption of counterparty independence. Consider a typical case of a bank hedging a client trade via a CCP. On…

Pricing of Securities · Quantitative Finance 2018-03-12 Chris Kenyon , Hayato Iida

We develop an arbitrage-free framework for consistent valuation of derivative trades with collateralization, counterparty credit gap risk, and funding costs, following the approach first proposed by Pallavicini and co-authors in 2011. Based…

Pricing of Securities · Quantitative Finance 2014-04-30 Damiano Brigo , Qing Liu , Andrea Pallavicini , David Sloth

The importance of collateralization through the change of funding cost is now well recognized among practitioners. In this article, we have extended the previous studies of collateralized derivative pricing to more generic situation, that…

Pricing of Securities · Quantitative Finance 2015-03-18 Masaaki Fujii , Akihiko Takahashi

In this paper we discuss the issue of computation of the bilateral credit valuation adjustment (CVA) under rating triggers, and in presence of ratings-linked margin agreements. Specifically, we consider collateralized OTC contracts, that…

Pricing of Securities · Quantitative Finance 2012-05-31 Tomasz R. Bielecki , Igor Cialenco , Ismail Iyigunler

We show how the cost of funding the collateral in a particular set up can be equal to the Bilateral Valuation Adjustment with the "funded" probability of default, leading to the definition of a Funded Bilateral Valuation Adjustment (FBVA).…

Pricing of Securities · Quantitative Finance 2012-11-08 Lorenzo Giada , Claudio Nordio

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

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 inclusion of DVA in the fair-value of derivative transactions has now become standard accounting practice in most parts of the world. Furthermore, some sophisticated banks are including an FVA (Funding Valuation Adjustment), but since…

Pricing of Securities · Quantitative Finance 2014-04-22 Johan Gunnesson , Alberto Fernández Muñoz de Morales

In this work we study the price-hedge issue for general defaultable contracts characterized by the presence of a contingent CSA of switching type. This is a contingent risk mitigation mechanism that allow the counterparties of a defaultable…

Pricing of Securities · Quantitative Finance 2015-03-02 Giovanni Mottola

We obtain an explicit formula for the bilateral counterparty valuation adjustment of a credit default swaps portfolio referencing an asymptotically large number of entities. We perform the analysis under a doubly stochastic intensity…

Pricing of Securities · Quantitative Finance 2013-05-27 Lijun Bo , Agostino Capponi

This paper develops an XVA (costs) analysis of centrally cleared trading, parallel to the one that has been developed in the last years for bilateral transactions. We introduce a dynamic framework that incorporates the sequence of…

Risk Management · Quantitative Finance 2017-02-06 Yannick Armenti , Stéphane Crépey

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

In the aftermath of the 2007 global financial crisis, banks started reflecting into derivative pricing the cost of capital and collateral funding through XVA metrics. Here XVA is a catch-all acronym whereby X is replaced by a letter such as…

Computational Finance · Quantitative Finance 2016-03-10 Claudio Albanese , Simone Caenazzo , Stéphane Crépey

The present work studies and analyzes general defaultable OTC contract in presence of a contingent CSA, which is a theoretical counterparty risk mitigation mechanism of switching type that allows the counterparty of a general OTC contract…

Risk Management · Quantitative Finance 2014-12-04 Giovanni Mottola

We develop a framework for computing the total valuation adjustment (XVA) of a European claim accounting for funding costs, counterparty credit risk, and collateralization. Based on no-arbitrage arguments, we derive backward stochastic…

Pricing of Securities · Quantitative Finance 2020-02-25 Maxim Bichuch , Agostino Capponi , Stephan Sturm

In this paper we describe how to include funding and margining costs into a risk-neutral pricing framework for counterparty credit risk. We consider realistic settings and we include in our models the common market practices suggested by…

Pricing of Securities · Quantitative Finance 2011-12-12 Andrea Pallavicini , Daniele Perini , Damiano Brigo