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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

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

Initial margin requirements are becoming an increasingly common feature of derivative markets. However, while the valuation of derivatives under collateralisation (Piterbarg 2010, Piterbarg2012), under counterparty risk with unsecured…

Pricing of Securities · Quantitative Finance 2015-01-13 Andrew Green , Chris Kenyon

We present a detailed analysis of interest rate derivatives valuation under credit risk and collateral modeling. We show how the credit and collateral extended valuation framework in Pallavicini et al (2011), and the related collateralized…

Pricing of Securities · Quantitative Finance 2015-09-15 Giacomo Bormetti , Damiano Brigo , Marco Francischello , Andrea Pallavicini

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 develop a novel 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 the nonlinear…

Pricing of Securities · Quantitative Finance 2016-08-16 Maxim Bichuch , Agostino Capponi , Stephan Sturm

We introduce an innovative theoretical framework to model derivative transactions between defaultable entities based on the principle of arbitrage freedom. Our framework extends the traditional formulations based on Credit and Debit…

Risk Management · Quantitative Finance 2012-05-08 Claudio Albanese , Damiano Brigo , Frank Oertel

Valuation adjustments, collectively named XVA, play an important role in modern derivatives pricing to take into account additional price components such as counterparty and funding risk premia. They are an exotic price component carrying a…

Pricing of Securities · Quantitative Finance 2025-03-06 Lorenzo Silotto , Marco Scaringi , Marco Bianchetti

The introduction of CCPs in most derivative transactions will dramatically change the landscape of derivatives pricing, hedging and risk management, and, according to the TABB group, will lead to an overall liquidity impact about 2 USD…

Pricing of Securities · Quantitative Finance 2014-01-17 Damiano Brigo , Andrea Pallavicini

This article presents a new model for valuing a credit default swap (CDS) contract that is affected by multiple credit risks of the buyer, seller and reference entity. We show that default dependency has a significant impact on asset…

Computational Finance · Quantitative Finance 2018-03-22 Alan White

Although climate and nature related scenario analysis is increasingly important in finance, operational implementations remain limited for translating long horizon environmental scenarios into counterparty credit risk measures used in…

Risk Management · Quantitative Finance 2026-03-30 Takayuki Sakuma

Credit risk may be warehoused by choice, or because of limited hedging possibilities. Credit risk warehousing increases capital requirements and leaves open risk. Open risk must be priced in the physical measure, rather than the risk…

Pricing of Securities · Quantitative Finance 2015-01-08 Chris Kenyon , Andrew Green

We discuss and clarify the XVA modelling framework specified in the paper "MVA by replication and regression" (Risk Magazine, May 2015) for including bilateral credit risk and funding costs in derivative pricing, and in doing so we rectify…

Pricing of Securities · Quantitative Finance 2018-07-31 Antti Vauhkonen

The strengthening of capital requirements has induced banks and traders to consider charging a so called capital valuation adjustment (KVA) to the clients in OTC transactions. This roughly corresponds to charge the clients ex-ante the…

Risk Management · Quantitative Finance 2017-08-18 Damiano Brigo , Marco Francischello , Andrea Pallavicini

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

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

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

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

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

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