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In this paper, we have studied the pricing of a continuously collateralized CDS. We have made use of the "survival measure" to derive the pricing formula in a straightforward way. As a result, we have found that there exists irremovable…

Pricing of Securities · Quantitative Finance 2011-04-12 Masaaki Fujii , Akihiko Takahashi

We compare the five major sources of corporate Credit Default Swap prices: GFI, Fenics, Reuters, CMA, and Markit, using the most liquid single name 5-year CDS in the iTraxx and CDX indexes from 2004 to 2010. Deviations from the common trend…

Risk Management · Quantitative Finance 2022-02-07 Sergio Mayordomo , Juan Ignacio Peña , Eduardo S. Schwartz

We study insolvency cascades in an interbank system when banks are allowed to insure their loans with credit default swaps (CDS) sold by other banks. We show that, by properly shifting financial exposures from one institution to another, a…

Risk Management · Quantitative Finance 2017-10-16 Matt V. Leduc , Sebastian Poledna , Stefan Thurner

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

This paper proposes a Monte Carlo technique for pricing the forward yield to maturity, when the volatility of the zero-coupon bond is known. We make the assumption of deterministic default intensity (Hazard Rate Function). We make no…

Computational Finance · Quantitative Finance 2012-04-23 Didier Kouokap Youmbi

Credit Value Adjustment (CVA) is the difference between the value of the default-free and credit-risky derivative portfolio, which can be regarded as the cost of the credit hedge. Default probabilities are therefore needed, as input…

Mathematical Finance · Quantitative Finance 2018-06-21 Ola Hammarlid , Marta Leniec

We develop a pricing model for Sovereign Contingent Convertible bonds (S-CoCo) with payment standstills triggered by a sovereign's Credit Default Swap (CDS) spread. We model CDS spread regime switching, which is prevalent during crises, as…

Pricing of Securities · Quantitative Finance 2018-04-05 Andrea Consiglio , Michele Tumminello , Stavros A. Zenios

Discretely sampled variance and volatility swaps trade actively in OTC markets. To price these swaps, the continuously sampled approximation is often used to simplify the computations. The purpose of this paper is to study the conditions…

Probability · Mathematics 2011-03-08 Robert Jarrow , Younes Kchia , Martin Larsson , Philip Protter

One of the most challenging aspects in the analysis and modelling of financial markets, including Credit Default Swap (CDS) markets, is the presence of an emergent, intermediate level of structure standing in between the microscopic…

Risk Management · Quantitative Finance 2023-05-30 Ioannis Anagnostou , Tiziano Squartini , Drona Kandhai , Diego Garlaschelli

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 introduce a novel class of credit risk models in which the drift of the survival process of a firm is a linear function of the factors. The prices of defaultable bonds and credit default swaps (CDS) are linear-rational in the factors.…

Mathematical Finance · Quantitative Finance 2019-07-23 Damien Ackerer , Damir Filipović

This paper presents a convenient framework for modeling default process and pricing derivative securities involving credit risk. The framework provides an integrated view of credit valuation adjustment by linking distance-to-default,…

Pricing of Securities · Quantitative Finance 2023-09-08 David Xiao

This paper develops a two-dimensional structural framework for valuing credit default swaps and corporate bonds in the presence of default contagion. Modelling the values of related firms as correlated geometric Brownian motions with…

Pricing of Securities · Quantitative Finance 2008-12-02 Helen Haworth , Christoph Reisinger , William Shaw

We show that, for the purpose of pricing Swaptions, the Swap rate and the corresponding Forward rates can be considered lognormal under a single martingale measure. Swaptions can then be priced as options on a basket of lognormal assets and…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Alexandre d'Aspremont

In this paper we modify the model of Itkin, Shcherbakov and Veygman, (2019) (ISV2019), proposed for pricing Quanto Credit Default Swaps (CDS) and risky bonds, in several ways. First, it is known since the Lehman Brothers bankruptcy that the…

Computational Finance · Quantitative Finance 2019-12-19 Andrey Itkin , Fazlollah Soleymani

We develop a model for the dynamic evolution of default-free and defaultable interest rates in a LIBOR framework. Utilizing the class of affine processes, this model produces positive LIBOR rates and spreads, while the dynamics are…

Pricing of Securities · Quantitative Finance 2013-07-15 Zorana Grbac , Antonis Papapantoleon

Credit value adjustment (CVA) is the charge applied by financial institutions to the counterparty to cover the risk of losses on a counterpart default event. In this paper we estimate such a premium under the Bates stochastic model (Bates…

Computational Finance · Quantitative Finance 2018-09-17 Ludovic Goudenège , Andrea Molent , Antonino Zanette

In this paper we propose a simple and efficient method to compute the ordered default time distributions in both the homogeneous case and the two-group heterogeneous case under the interacting intensity default contagion model. We give the…

Pricing of Securities · Quantitative Finance 2012-04-19 Jia-Wen Gu , Wai-Ki Ching , Tak-Kuen Siu , Harry Zheng

In a series of recent papers, Damiano Brigo, Andrea Pallavicini, and co-authors have shown that the value of a contract in a Credit Valuation Adjustment (CVA) setting, being the sum of the cash flows, can be represented as a solution of a…

Probability · Mathematics 2020-10-30 Aditi Dandapani , Philip Protter

The Wiener-Hopf factorization is obtained in closed form for a phase type approximation to the CGMY L\'{e}vy process. This allows, for the approximation, exact computation of first passage times to barrier levels via Laplace transform…

Pricing of Securities · Quantitative Finance 2008-12-02 Soeren Asmussen , Dilip Madan , Martijn Pistorius