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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

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…

Risk Management · Quantitative Finance 2011-01-21 Damiano Brigo , Agostino Capponi , Andrea Pallavicini , Vasileios Papatheodorou

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

We present a dialogue on Funding Costs and Counterparty Credit Risk modeling, inclusive of collateral, wrong way risk, gap risk and possible Central Clearing implementation through CCPs. This framework is important following the fact that…

Pricing of Securities · Quantitative Finance 2013-12-04 Damiano Brigo , Andrea Pallavicini

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 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

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

The credit crisis and the ongoing European sovereign debt crisis have highlighted the native form of credit risk, namely the counterparty risk. The related Credit Valuation Adjustment, (CVA), Debt Valuation Adjustment (DVA), Liquidity…

Risk Management · Quantitative Finance 2012-10-19 Stéphane Crépey , Rémi Gerboud , Zorana Grbac , Nathalie Ngor

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,…

Pricing of Securities · Quantitative Finance 2020-05-05 Wujiang Lou

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

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

Valuation adjustments are nowadays a common practice to include credit and liquidity effects in option pricing. Funding costs arising from collateral procedures, hedging strategies and taxes are added to option prices to take into account…

Mathematical Finance · Quantitative Finance 2019-06-07 Stefania Gabrielli , Andrea Pallavicini , Stefano Scoleri

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

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 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

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

An uncollateralized swap hedged back-to-back by a CCP swap is used to introduce FVA. The open IR01 of FVA, however, is a sure sign of risk not being fully hedged, a theoretical no-arbitrage pricing concern, and a bait to lure market risk…

Pricing of Securities · Quantitative Finance 2020-05-05 Wujiang Lou

The research presented in this work is motivated by some recent papers regarding hedging and valuation of financial securities subject to funding costs, collateralization and counterparty credit risk. Our goal is to provide a sound…

Pricing of Securities · Quantitative Finance 2013-06-24 Tomasz R. Bielecki , Marek Rutkowski

In this note we sketch an initial tentative approach to funding costs analysis and management for contracts with bilateral counterparty risk in a simplified setting. We depart from the existing literature by analyzing the issue of funding…

Risk Management · Quantitative Finance 2014-10-09 Damiano Brigo , Cyril Durand

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
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