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We study the cluster dynamics of multichannel (multivariate) time series by representing their correlations as time-dependent networks and investigating the evolution of network communities. We employ a node-centric approach that allows us…

Physics and Society · Physics 2015-05-13 Daniel J. Fenn , Mason A. Porter , Mark McDonald , Stacy Williams , Neil F. Johnson , Nick S. Jones

We revisit the problem of pricing and hedging plain vanilla single-currency interest rate derivatives using multiple distinct yield curves for market coherent estimation of discount factors and forward rates with different underlying rate…

Pricing of Securities · Quantitative Finance 2012-08-02 Marco Bianchetti

The purpose of this paper is introducing rigorous methods and formulas for bilateral counterparty risk credit valuation adjustments (CVA's) on interest-rate portfolios. In doing so, we summarize the general arbitrage-free valuation…

Pricing of Securities · Quantitative Finance 2010-02-03 Damiano Brigo , Andrea Pallavicini , Vasileios Papatheodorou

This paper discusses the valuation of credit default swaps, where default is announced when the reference asset price has gone below certain level from the last record maximum, also known as the high-water mark or drawdown. We assume that…

Mathematical Finance · Quantitative Finance 2020-04-29 Zbigniew Palmowski , Budhi Surya

We analyze the counterparty risk embedded in CDS contracts, in presence of a bilateral margin agreement. First, we investigate the pricing of collateralized counterparty risk and we derive the bilateral Credit Valuation Adjustment (CVA),…

Risk Management · Quantitative Finance 2011-08-23 Tomasz R. Bielecki , Igor Cialenco , Ismail Iyigunler

We consider a model of debt management, where a sovereign state trade some bonds to service the debt with a pool of risk-neutral competitive foreign investors. At each time, the government decides which fraction of the gross domestic…

Optimization and Control · Mathematics 2019-09-30 Antonio Marigonda , Khai T. Nguyen

In this paper, a geometric function is introduced to reflect the attenuation speed of impact of one firm's default to its partner. If two firms are competitions (copartners), the default intensity of one firm will decrease (increase)…

Risk Management · Quantitative Finance 2008-12-02 Yunfen Bai , Xinhua Hu , Zhongxing Ye

The classical reduced-form and filtration expansion framework in credit risk is extended to the case of multiple, non-ordered defaults, assuming that conditional densities of the default times exist. Intensities and pricing formulas are…

Risk Management · Quantitative Finance 2011-06-22 Younes Kchia , Martin Larsson

Contagion is an extremely important topic in finance. Contagion is at the core of most major financial crises, in particular the 2008 financial crisis. Although various approaches to quantifying contagion have been proposed, many of them…

Statistical Finance · Quantitative Finance 2021-12-28 Katerina Rigana , Ernst-Jan Camiel Wit , Samantha Cook

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 considers mutual obligations in the interconnected bank system and analyzes their influence on joint and marginal survival probabilities as well as CDS and FTD prices for the individual banks. To make the role of mutual…

Pricing of Securities · Quantitative Finance 2015-05-11 Andrey Itkin , Alexander Lipton

Specialized topics on financial data analysis from a numerical and physical point of view are discussed. They pertain to the analysis of crash prediction in stock market indices and to the persistence or not of coherent and random sequences…

Condensed Matter · Physics 2007-05-23 M. Ausloos , K. Ivanova

During the last two years, Europe has been facing a debt crisis, and Greece has been at its center. In response to the crisis, drastic actions have been taken, including the halving of Greek debt. Policy makers acted because interest rates…

General Finance · Quantitative Finance 2012-10-01 Marco Lagi , Yaneer Bar-Yam

There are many studies on development of models for analyzing some derivatives such as credit default swaps .

Pricing of Securities · Quantitative Finance 2017-06-20 Zahra Sokoot , Navideh Modarresi , Farzaneh Niknejad

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

Recently, incomplete-market techniques have been used to develop a model applicable to credit default swaps (CDSs) with results obtained that are quite different from those obtained using the market-standard model. This article makes use of…

Pricing of Securities · Quantitative Finance 2014-03-11 Michael B. Walker

In this note we investigate the consistency under inversion of jump diffusion processes in the Foreign Exchange (FX) market. In other terms, if the EUR/USD FX rate follows a given type of dynamics, under which conditions will USD/EUR follow…

Mathematical Finance · Quantitative Finance 2019-07-09 Federico Graceffa , Damiano Brigo , Andrea Pallavicini

We propose two structural models for stochastic losses given default which allow to model the credit losses of a portfolio of defaultable financial instruments. The credit losses are integrated into a structural model of default events…

Risk Management · Quantitative Finance 2015-03-20 Simone Farinelli , Mykhaylo Shkolnikov

As impressively shown by the financial crisis in 2007/08, contagion effects in financial networks harbor a great threat for the stability of the entire system. Without sufficient capital requirements for banks and other financial…

Risk Management · Quantitative Finance 2019-11-19 Daniel Ritter

We have presented a novel technique of detecting intermittencies in a financial time series of the foreign exchange rate data of U.S.- Euro dollar(US/EUR) using a combination of both statistical and spectral techniques. This has been…

Statistical Finance · Quantitative Finance 2016-09-08 A. N. Sekar Iyengar