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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

XVAs denote various counterparty risk related valuation adjustments that are applied to financial derivatives since the 2007--09 crisis. We root a cost-of-capital XVA strategy in a balance sheet perspective which is key in identifying the…

风险管理 · 定量金融 2020-09-02 Claudio Albanese , Stephane Crepey , Rodney Hoskinson , Bouazza Saadeddine

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…

证券定价 · 定量金融 2018-07-31 Antti Vauhkonen

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…

计算金融 · 定量金融 2016-03-10 Claudio Albanese , Simone Caenazzo , Stéphane Crépey

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…

计算金融 · 定量金融 2022-09-15 Ludovic Goudenege , Andrea Molent , Antonino Zanette

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 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…

证券定价 · 定量金融 2018-04-09 David Lee

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

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…

证券定价 · 定量金融 2013-02-05 Lixin Wu

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

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…

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

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…

数理金融 · 定量金融 2020-05-07 Derek Singh , Shuzhong Zhang

The valuation of over-the-counter derivatives is subject to a series of valuation adjustments known as xVA, which pose additional risks for financial institutions. Associated risk measures, such as the value-at-risk of an underlying…

计算金融 · 定量金融 2024-05-24 Michael B. Giles , Abdul-Lateef Haji-Ali , Jonathan Spence

We present a one-period XVA model encompassing bilateral and centrally cleared trading in a unified framework with explicit formulas for most quantities at hand. We illustrate possible uses of this framework for running stress test…

风险管理 · 定量金融 2022-02-16 Dorinel Bastide , Stéphane Crépey , Samuel Drapeau , Mekonnen Tadese

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…

证券定价 · 定量金融 2012-12-13 Andrea Pallavicini , Daniele Perini , Damiano Brigo

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…

证券定价 · 定量金融 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…

证券定价 · 定量金融 2015-03-18 Masaaki Fujii , Akihiko Takahashi

Modeling counterparty risk is computationally challenging because it requires the simultaneous evaluation of all the trades with each counterparty under both market and credit risk. We present a multi-Gaussian process regression approach,…

计算金融 · 定量金融 2019-10-18 Stéphane Crépey , Matthew Dixon

In this work we present a general representation formula for the price of a vulnerable European option, and the related CVA in stochastic (either rough or not) volatility models for the underlying's price, when admitting correlation with…

计算金融 · 定量金融 2022-04-26 Elisa Alòs , Fabio Antonelli , Alessandro Ramponi , Sergio Scarlatti

In this paper we revisit Burnett (2021) \& Burnett and Williams (2021)'s notion of hedging valuation adjustment (HVA), originally intended to deal with dynamic hedging frictions such as transaction costs, in the direction of model risk. The…

证券定价 · 定量金融 2024-08-29 Cyril Bénézet , Stéphane Crépey
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