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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

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

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

A clearing member of a Central Counterparty (CCP) is exposed to losses on their default fund and initial margin contributions. Such losses can be incurred whenever the CCP has insufficient funds to unwind the portfolio of a defaulting…

Risk Management · Quantitative Finance 2012-05-09 Matthias Arnsdorf

Reinsurance counterparty credit risk (RCCR) is the risk of a loss arising from the fact that a reinsurance company is unable to fulfill her contractual obligations towards the ceding insurer. RCCR is an important risk category for insurance…

Risk Management · Quantitative Finance 2019-09-11 Claudia Ceci , Katia Colaneri , Rdiger Frey , Verena Köck

We show that stochastic recovery always leads to counter-intuitive behaviors in the risk measures of a CDO tranche - namely, continuity on default and positive credit spread risk cannot be ensured simultaneously. We then propose a simple…

Pricing of Securities · Quantitative Finance 2010-12-03 Emmanuel Schertzer , Yadong Li , Umer Khan

It is commonly accepted that Commodities futures and forward prices, in principle, agree under some simplifying assumptions. One of the most relevant assumptions is the absence of counterparty risk. Indeed, due to margining, futures have…

Pricing of Securities · Quantitative Finance 2009-01-09 Damiano Brigo , Kyriakos Chourdakis , Imane Bakkar

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

Securities borrowing and lending are critical to proper functioning of securities markets. To alleviate securities owners' exposure to borrower default risk, overcollateralization and indemnification are provided by the borrower and the…

Mathematical Finance · Quantitative Finance 2021-11-29 Wujiang Lou

In this note we show how to replicate a stylized CDS with a repurchase agreement and an asset swap. The latter must be designed in such a way that, on default of the issuer, it is terminated with a zero close-out amount. This break clause…

Pricing of Securities · Quantitative Finance 2013-05-02 Lorenzo Giada , Claudio Nordio

The use of CVA to cover credit risk is widely spread, but has its limitations. Namely, dealers face the problem of the illiquidity of instruments used for hedging it, hence forced to warehouse credit risk. As a result, dealers tend to offer…

Risk Management · Quantitative Finance 2018-12-27 Lucia Cipolina-Kun , Ignacio Ruiz , Mariano Zero-Medina Laris

The introduction of CCPs in most derivative transactions will dramatically change the landscape of derivatives pricing, hedging and risk management, and, according to the TABB group, will lead to an overall liquidity impact about 2 USD…

Pricing of Securities · Quantitative Finance 2014-01-17 Damiano Brigo , Andrea Pallavicini

We study the impact of central clearing of over-the-counter (OTC) transactions on counterparty exposures in a market with OTC transactions across several asset classes with heterogeneous characteristics. The impact of introducing a central…

Risk Management · Quantitative Finance 2014-03-13 Rama Cont , Thomas Kokholm

We introduce a two-agent problem which is inspired by price asymmetry arising from funding difference. When two parties have different funding rates, the two parties deduce different fair prices for derivative contracts even under the same…

Mathematical Finance · Quantitative Finance 2020-01-01 Junbeom Lee , Stephan Sturm , Chao Zhou

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

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…

Pricing of Securities · Quantitative Finance 2011-12-12 Andrea Pallavicini , Daniele Perini , Damiano Brigo

A multi-dimensional extension of the structural default model with firms' values driven by diffusion processes with Marshall-Olkin-inspired correlation structure is presented. Semi-analytical methods for solving the forward calibration…

Pricing of Securities · Quantitative Finance 2012-06-15 Alexander Lipton , Ioana Savescu

We consider the pricing and hedging of counterparty credit risk and funding when there is no possibility to hedge the jump to default of either the bank or the counterparty. This represents the situation which is most often encountered in…

Mathematical Finance · Quantitative Finance 2025-02-20 Francesca Biagini , Alessandro Gnoatto , Katharina Oberpriller

We consider the problem of constructing an appropriate multivariate model for the study of the counterparty credit risk in credit rating migration problem. For this financial problem different multivariate Markov chain models were proposed.…

Probability · Mathematics 2012-10-08 Guglielmo D'Amico , Raimondo Manca , Giovanni Salvi

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