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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…

证券定价 · 定量金融 2011-06-20 Damiano Brigo , Cristin Buescu , Massimo Morini

We present a dialogue on Counterparty Credit Risk touching on Credit Value at Risk (Credit VaR), Potential Future Exposure (PFE), Expected Exposure (EE), Expected Positive Exposure (EPE), Credit Valuation Adjustment (CVA), Debit Valuation…

证券定价 · 定量金融 2012-06-19 Damiano Brigo

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),…

风险管理 · 定量金融 2011-08-23 Tomasz R. Bielecki , Igor Cialenco , Ismail Iyigunler

In this paper, we present a novel computational framework for portfolio-wide risk management problems, where the presence of a potentially large number of risk factors makes traditional numerical techniques ineffective. The new method…

数理金融 · 定量金融 2022-12-26 Alessandro Gnoatto , Athena Picarelli , Christoph Reisinger

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…

风险管理 · 定量金融 2009-11-19 Damiano Brigo , Agostino Capponi

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…

证券定价 · 定量金融 2020-02-25 Maxim Bichuch , Agostino Capponi , Stephan Sturm

We study the pricing and hedging of derivatives in incomplete financial markets by considering the local risk-minimization method in the context of the benchmark approach, which will be called benchmarked local risk-minimization. We show…

证券定价 · 定量金融 2014-02-18 Francesca Biagini , Alessandra Cretarola , Eckhard Platen

For vanilla derivatives that constitute the bulk of investment banks' hedging portfolios, central clearing through central counterparties (CCPs) has become hegemonic. A key mandate of a CCP is to provide an efficient and proper clearing…

风险管理 · 定量金融 2024-10-25 Dorinel Bastide , Stéphane Crépey , Samuel Drapeau , Mekonnen Tadese

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).…

证券定价 · 定量金融 2012-11-08 Lorenzo Giada , Claudio Nordio

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…

风险管理 · 定量金融 2023-05-29 Irena Barjašić , Stefano Battiston , Vinko Zlatić

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…

计算金融 · 定量金融 2010-10-11 Dongsheng Lu , Frank Juan

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…

计算金融 · 定量金融 2018-03-22 Alan White

Before the 2008 financial crisis, most research in financial mathematics focused on pricing options without considering the effects of counterparties' defaults, illiquidity problems, and the role of the sale and repurchase agreement (Repo)…

证券定价 · 定量金融 2020-11-10 Weijie Pang , Stephan Sturm

This article presents FVA and CVA of a bilateral derivative in a coherent manner, based on recent developments in fair value accounting and ISDA standards. We argue that a derivative liability, after primary risk factors being hedged,…

证券定价 · 定量金融 2020-05-05 Wujiang Lou

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…

证券定价 · 定量金融 2011-12-12 Andrea Pallavicini , Daniele Perini , Damiano Brigo

In this paper we extend the existing literature on xVA along three directions. First, we enhance current BSDE-based xVA frameworks to include initial margin in presence of defaults. Next, we solve the consistency problem that arises when…

证券定价 · 定量金融 2021-07-07 Francesca Biagini , Alessandro Gnoatto , Immacolata Oliva

The valuation of counterparty risk for single name credit derivatives requires the computa- tion of joint distributions of default times of two default-prone entities. For a Merton-type model, we derive some formulas for these joint…

证券定价 · 定量金融 2008-12-10 Christophette Blanchet-Scalliet , Frédéric Patras

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…

证券定价 · 定量金融 2016-08-16 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…

计算金融 · 定量金融 2022-04-07 T. van der Zwaard , L. A. Grzelak , C. W. Oosterlee

This paper generalizes the framework for arbitrage-free valuation of bilateral counterparty risk to the case where collateral is included, with possible re-hypotecation. We analyze how the payout of claims is modified when collateral…

风险管理 · 定量金融 2011-01-21 Damiano Brigo , Agostino Capponi , Andrea Pallavicini , Vasileios Papatheodorou