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We show how to restructure the counterparty risk faced by the originator of a securitization or covered bond arising from an interest rate hedging swap assisted by a "one-way" collateral agreement. This risk emerges when the swap is…

Risk Management · Quantitative Finance 2013-10-29 Lorenzo Giada , Claudio Nordio

This paper formulates an utility indifference pricing model for investors trading in a discrete time financial market under non-dominated model uncertainty. The investors preferences are described by strictly increasing concave random…

Mathematical Finance · Quantitative Finance 2020-10-05 Romain Blanchard , Laurence Carassus

The stability of the financial system is associated with systemic risk factors such as the concurrent default of numerous small obligors. Hence it is of utmost importance to study the mutual dependence of losses for different creditors in…

Risk Management · Quantitative Finance 2017-06-30 Andreas Mühlbacher , Thomas Guhr

We explore the possibilities of importance sampling in the Monte Carlo pricing of a structured credit derivative referred to as Collateralized Debt Obligation (CDO). Modeling a CDO contract is challenging, since it depends on a pool of…

Computational Finance · Quantitative Finance 2013-12-09 Marcell Stippinger , Bálint Vető , Éva Rácz , Zsolt Bihary

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 propose a model in which, in exchange to the payment of a fixed transaction cost, an insurance company can choose the retention level as well as the time at which subscribing a perpetual reinsurance contract. The surplus process of the…

Optimization and Control · Mathematics 2024-02-13 Salvatore Federico , Giorgio Ferrari , Maria-Laura Torrente

In this paper is proposed a 2 factor structural PDE model of pricing puttable bond with credit risk and derived the analytical pricing formula. To this end, first, a 2 factor structural (PDE) model of pricing zero coupon bond with credit…

Pricing of Securities · Quantitative Finance 2022-03-14 Hyong Chol O , Dae Song Choe , Gyong-Dok Rim

We study the pricing and the hedging of claim {\psi} which depends on the default times of two firms A and B. In fact, we assume that, in the market, we can not buy or sell any defaultable bond of the firm B but we can only trade…

Pricing of Securities · Quantitative Finance 2012-09-27 Stephane Goutte , Armand Ngoupeyou

Intuitively, the default risk of a single borrower is higher when her or his assets and debt are denominated in different currencies. Additionally, the default dependence of borrowers with assets and debt in different currencies should be…

Risk Management · Quantitative Finance 2008-12-02 Dirk Tasche

We discuss two distinct approaches, for distorting risk measures of sums of dependent random variables, which preserve the property of coherence. The first, based on distorted expectations, operates on the survival function of the sum. The…

Methodology · Statistics 2011-06-17 Brahim Brahimi , Djamel Meraghni , Abdelhakim Necir

Constant Proportion Portfolio Insurance (CPPI) is an investment strategy designed to give participation in the performance of a risky asset while protecting the invested capital. This protection is however not perfect and the gap risk must…

Pricing of Securities · Quantitative Finance 2010-02-10 Louis Paulot , Xavier Lacroze

We study permissionless spot--perpetual basis trading in decentralized finance as a collateral control problem. The strategy holds spot inventory, hedges directional exposure with a short perpetual, and allocates capital between spot…

Trading and Market Microstructure · Quantitative Finance 2026-05-07 Anatoly Krestenko , Mikhail Butov , Rostislav Berezovskiy , Danila Bolotin

A counterparty credit limit (CCL) is a limit that is imposed by a financial institution to cap its maximum possible exposure to a specified counterparty. CCLs help institutions to mitigate counterparty credit risk via selective…

Trading and Market Microstructure · Quantitative Finance 2021-01-26 Martin D. Gould , Nikolaus Hautsch , Sam D. Howison , Mason A. Porter

Catastrophe risk is a major threat faced by individuals, companies, and entire economies. Catastrophe (CAT) bonds have emerged as a method to offset this risk and a corresponding literature has developed that attempts to provide a…

Mathematical Finance · Quantitative Finance 2016-11-01 Eckhard Platen , David Taylor

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

We consider the pricing of European-style structured credit payoff in a static framework, where the underlying default times are independent given a common factor. A practical application would consist of the pricing of nth-to-default…

Pricing of Securities · Quantitative Finance 2012-04-11 Jean-David Fermanian , Olivier Vigneron

The impact of a stress scenario of default events on the loss distribution of a credit portfolio can be assessed by determining the loss distribution conditional on these events. While it is conceptually easy to estimate loss distributions…

Risk Management · Quantitative Finance 2016-01-11 Dirk Tasche

We introduce an innovative theoretical framework to model derivative transactions between defaultable entities based on the principle of arbitrage freedom. Our framework extends the traditional formulations based on Credit and Debit…

Risk Management · Quantitative Finance 2012-05-08 Claudio Albanese , Damiano Brigo , Frank Oertel

The 2008 financial crisis has been attributed to "excessive complexity" of the financial system due to financial innovation. We employ computational complexity theory to make this notion precise. Specifically, we consider the problem of…

Risk Management · Quantitative Finance 2019-05-21 Steffen Schuldenzucker , Sven Seuken , Stefano Battiston

Our goal is to analyze the system of Hamilton-Jacobi-Bellman equations arising in derivative securities pricing models. The European style of an option price is constructed as a difference of the certainty equivalents to the value functions…

Analysis of PDEs · Mathematics 2021-08-31 Pedro Polvora , Daniel Sevcovic
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