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We model the term structure of the forward default intensity and the default density by using L\'evy random fields, which allow us to consider the credit derivatives with an after-default recovery payment. As applications, we study the…

Pricing of Securities · Quantitative Finance 2011-12-14 Lijun Bo , Ying Jiao , Xuewei Yang

Is an option to early terminate a swap at its market value worth zero? At first sight it is, but in presence of counterparty risk it depends on the criteria used to determine such market value. In case of a single uncollateralised swap…

Pricing of Securities · Quantitative Finance 2013-01-24 Lorenzo Giada , Claudio Nordio

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

This paper studies a valuation framework for financial contracts subject to reference and counterparty default risks with collateralization requirement. We propose a fixed point approach to analyze the mark-to-market contract value with…

Pricing of Securities · Quantitative Finance 2015-01-27 Jinbeom Kim , Tim Leung

We study the incentives of banks in a financial network, where the network consists of debt contracts and credit default swaps (CDSs) between banks. One of the most important questions in such a system is the problem of deciding which of…

Risk Management · Quantitative Finance 2020-02-19 Pál András Papp , Roger Wattenhofer

This paper considers the problem of measuring the credit risk in portfolios of loans, bonds, and other instruments subject to possible default under multi-factor models. Due to the amount of the portfolio, the heterogeneous effect of…

Computational Finance · Quantitative Finance 2019-04-10 Cheng-Der Fuh , Chuan-Ju Wang

In a model with no given probability measure, we consider asset pricing in the presence of frictions and other imperfections and characterize the property of coherent pricing, a notion related to (but much weaker than) the no arbitrage…

Mathematical Finance · Quantitative Finance 2016-09-12 Gianluca Cassese

We consider a two-factor model for the valuation of a non callable defaultable bond which pays coupons at certain given dates. The model under consideration is the Jump to Default Constant Elasticity of Variance (JDCEV) model. The JDCEV…

Computational Finance · Quantitative Finance 2019-05-06 M. C. Calvo-Garrido , S. Diop , A. Pascucci , C. Vázquez

We develop a unified valuation theory that incorporates credit risk (defaults), collateralization and funding costs, by expanding the replication approach to a generality that has not yet been studied previously and reaching valuation when…

Pricing of Securities · Quantitative Finance 2018-03-01 Damiano Brigo , Cristin Buescu , Marco Francischello , Andrea Pallavicini , Marek Rutkowski

The model implied by factor score predictors does not reproduce the non-diagonal elements of the observed covariance matrix as well as the factor loadings. It is therefore investigated whether it is possible to estimate factor loadings for…

Applications · Statistics 2019-09-26 André Beauducel , Norbert Hilger

The collateral choice option gives the collateral posting party the opportunity to switch between different collateral currencies which is well-known to impact the asset price. Quantification of the option's value is of practical importance…

Risk Management · Quantitative Finance 2021-09-09 Felix L. Wolf , Lech A. Grzelak , Griselda Deelstra

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

We apply the knockoff procedure to factor selection in finance. By building fake but realistic factors, this procedure makes it possible to control the fraction of false discovery in a given set of factors. To show its versatility, we apply…

Statistical Finance · Quantitative Finance 2021-07-07 Damien Challet , Christian Bongiorno , Guillaume Pelletier

We provide estimation methods for nonseparable panel models based on low-rank factor structure approximations. The factor structures are estimated by matrix-completion methods to deal with the computational challenges of principal component…

Econometrics · Economics 2021-03-05 Iván Fernández-Val , Hugo Freeman , Martin Weidner

In this note, we develop stock option price approximations for a model which takes both the risk o default and the stochastic volatility into account. We also let the intensity of defaults be influenced by the volatility. We show that it…

Computational Engineering, Finance, and Science · Computer Science 2007-12-21 Erhan Bayraktar

The replacement closeout convention has drawn more and more attention since the 2008 financial crisis. Compared with the conventional risk-free closeout, the replacement closeout convention incorporates the creditworthiness of the…

Mathematical Finance · Quantitative Finance 2022-02-01 Chaofan Sun , Ken Seng Tan , Wei Wei

Financial models are studied where each asset may potentially lose value relative to any other. Conditioning on non-devaluation, each asset can serve as proper num\'eraire and classical valuation rules can be formulated. It is shown when…

Pricing of Securities · Quantitative Finance 2017-10-19 Travis Fisher , Sergio Pulido , Johannes Ruf

Valuing corporate bonds in systemic economies is challenging due to intricate webs of inter-institutional exposures. When a bank defaults, cascading losses propagate through the network, with payments determined by a system of fixed-point…

Computational Finance · Quantitative Finance 2026-02-16 Dohyun Ahn , Agostino Capponi

Despite the popularity of factor models with sparse loading matrices, little attention has been given to formally address identifiability of these models beyond standard rotation-based identification such as the positive lower triangular…

Econometrics · Economics 2025-02-12 Darjus Hosszejni , Sylvia Frühwirth-Schnatter

This paper develops a model-free framework for static fixed-income pricing and the replication of liability cash flows. We show that the absence of static arbitrage across a universe of fixed-income instruments is equivalent to the…

Mathematical Finance · Quantitative Finance 2025-12-18 Damir Filipović