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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

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)…

Pricing of Securities · Quantitative Finance 2020-11-10 Weijie Pang , Stephan Sturm

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

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

Derivative pricing is about cash flow discounting at the riskfree rate. This teaching has lost its meaning post the financial crisis, due to the addition of extra value adjustments (XVA), which also made derivatives pricing and valuation a…

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

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

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 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

Motivated by the equations of cross valuation adjustments (XVAs) in the realistic case where capital is deemed fungible as a source of funding for variation margin, we introduce a simulation/regression scheme for a class of anticipated…

Risk Management · Quantitative Finance 2024-01-25 Lokman Abbas-Turki , Stéphane Crépey , Botao Li , Bouazza Saadeddine

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 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

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

The X-valuation adjustment (XVA) problem, which is a recent topic in mathematical finance, is considered and analyzed. First, the basic properties of backward stochastic differential equations (BSDEs) with a random horizon in a…

Mathematical Finance · Quantitative Finance 2020-06-04 Jun Sekine , Akihiro Tanaka

In this article, we combine replication pricing with expectation pricing for derivative trades that are partially collateralized by cash. The derivatives are replicated by underlying assets and cash, using repurchasing agreement (repo) and…

Pricing of Securities · Quantitative Finance 2013-02-05 Lixin Wu

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

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

This paper investigates calculations of robust XVA, in particular, credit valuation adjustment (CVA) and funding valuation adjustment (FVA) for over-the-counter derivatives under distributional uncertainty using Wasserstein distance as the…

Mathematical Finance · Quantitative Finance 2020-05-07 Derek Singh , Shuzhong Zhang

Total value adjustment (XVA) is the change in value to be added to the price of a derivative to account for the bilateral default risk and the funding costs. In this paper, we compute such a premium for American basket derivatives whose…

Computational Finance · Quantitative Finance 2022-09-15 Ludovic Goudenege , Andrea Molent , Antonino Zanette

Crises challenge client XVA management when continuous collateralization is not possible because a derivative locks in the client credit level and the provider's funding level, on the trade date, for the life of the trade. We price XVA…

Pricing of Securities · Quantitative Finance 2020-09-29 Chris Kenyon

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
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