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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

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

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

We compare two different bilateral counterparty valuation adjustment (BVA) formulas. The first formula is an approximation and is based on subtracting the two unilateral Credit Valuation Adjustment (CVA)'s formulas as seen from the two…

Pricing of Securities · Quantitative Finance 2011-06-20 Damiano Brigo , Cristin Buescu , Massimo Morini

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

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

During recent years the counterparty risk subject has received a growing attention because of the so called Basel Accord. In particular the Basel III Accord asks the banks to fulfill finer conditions concerning counterparty credit exposures…

Pricing of Securities · Quantitative Finance 2015-03-06 M. Bonollo , L. Di Persio , I. Oliva , A. Semmoloni

In this paper, we have studied the pricing of a continuously collateralized CDS. We have made use of the "survival measure" to derive the pricing formula in a straightforward way. As a result, we have found that there exists irremovable…

Pricing of Securities · Quantitative Finance 2011-04-12 Masaaki Fujii , Akihiko Takahashi

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

This paper presents a new model for pricing financial derivatives subject to collateralization. It allows for collateral arrangements adhering to bankruptcy laws. As such, the model can back out the market price of a collateralized…

Pricing of Securities · Quantitative Finance 2018-05-31 Tim Xiao

We develop a mechanism for unsecured lending among pseudonymous users that does not rely on collateral, legal identity, or centralized underwriting. New borrowers enter only through sponsors who delegate part of their own credit capacity,…

Computer Science and Game Theory · Computer Science 2026-05-06 Diego Estevez

The paper reviews origins of the approach to pricing derivatives post-crisis by following three papers that have received wide acceptance from practitioners as the theoretical foundations for it - [Piterbarg 2010], [Burgard and Kjaer 2010]…

Pricing of Securities · Quantitative Finance 2018-12-27 Hovik Tumasyan

The role of collateral in derivative pricing has evolved beyond credit risk mitigation, particularly following the global financial crisis, when funding costs and basis spreads became central to valuation practices. This development…

Mathematical Finance · Quantitative Finance 2026-03-10 Yining Ding , Ruyi Liu , Marek Rutkowski

A three-dimensional extension of the structural default model with firms' values driven by correlated diffusion processes is presented. Green's function based semi-analytical methods for solving the forward calibration problem and backward…

Pricing of Securities · Quantitative Finance 2012-07-26 Alexander Lipton , Ioana Savescu

In [1] Zawadoski introduces a banking network model in which the asset and counter-party risks are treated separately and the banks hedge their assets risks by appropriate OTC contracts. In his model, each bank has only two counter-party…

Risk Management · Quantitative Finance 2018-08-20 Bhaskar DasGupta , Lakshmi Kaligounder

We introduce the general arbitrage-free valuation framework for counterparty risk adjustments in presence of bilateral default risk, including default of the investor. We illustrate the symmetry in the valuation and show that the adjustment…

Risk Management · Quantitative Finance 2009-11-19 Damiano Brigo , Agostino Capponi

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 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

In this paper we present a rigorously motivated pricing equation for derivatives, including general cash collateralization schemes, which is consistent with quoted market bond prices. Traditionally, there have been differences in how…

Pricing of Securities · Quantitative Finance 2014-09-22 Johan Gunnesson , Alberto Fernández Muñoz de Morales

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