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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

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…

Risk Management · Quantitative Finance 2020-09-02 Claudio Albanese , Stephane Crepey , Rodney Hoskinson , Bouazza Saadeddine

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…

Pricing of Securities · Quantitative Finance 2024-08-29 Cyril Bénézet , Stéphane Crépey

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

We present a unified framework for computing CVA sensitivities, hedging the CVA, and assessing CVA risk, using probabilistic machine learning meant as refined regression tools on simulated data, validatable by low-cost companion Monte Carlo…

Computational Finance · Quantitative Finance 2024-07-29 Stéphane Crépey , Botao Li , Hoang Nguyen , Bouazza Saadeddine

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…

Pricing of Securities · Quantitative Finance 2021-07-07 Francesca Biagini , Alessandro Gnoatto , Immacolata Oliva

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

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…

Computational Finance · Quantitative Finance 2022-04-07 T. van der Zwaard , L. A. Grzelak , C. W. Oosterlee

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

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

The strengthening of capital requirements has induced banks and traders to consider charging a so called capital valuation adjustment (KVA) to the clients in OTC transactions. This roughly corresponds to charge the clients ex-ante the…

Risk Management · Quantitative Finance 2017-08-18 Damiano Brigo , Marco Francischello , Andrea Pallavicini

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

When self-adaptive systems encounter changes within their surrounding environments, they enact tactics to perform necessary adaptations. For example, a self-adaptive cloud-based system may have a tactic that initiates additional computing…

Artificial Intelligence · Computer Science 2020-04-24 Jeffrey Palmerino , Qi Yu , Travis Desell , Daniel E. Krutz

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

This paper aims to categorize bank transactions using weak supervision, natural language processing, and deep neural network techniques. Our approach minimizes the reliance on expensive and difficult-to-obtain manual annotations by…

Machine Learning · Computer Science 2023-06-13 Liam Toran , Cory Van Der Walt , Alan Sammarone , Alex Keller

The question of pricing and hedging a given contingent claim has a unique solution in a complete market framework. When some incompleteness is introduced, the problem becomes however more difficult. Several approaches have been adopted in…

Probability · Mathematics 2007-08-08 Pauline Barrieu , Nicole El Karoui

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

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 model for indifference pricing in derivatives markets where price quotes have bid-ask spreads and finite quantities. The model quantifies the dependence of the prices and hedging portfolios on an investor's beliefs, risk…

Pricing of Securities · Quantitative Finance 2018-03-08 John Armstrong , Teemu Pennanen , Udomsak Rakwongwan

If a financial asset's price movement impacts a firm's product demand, the firm can respond to the impact by adjusting its operational decisions. For example, in the automotive industry, car makers decrease the selling prices of…

Risk Management · Quantitative Finance 2023-06-22 Liao Wang , Jin Yao , Xiaowei Zhang
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