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In the frictionless discrete time financial market of Bouchard et al.(2015) we consider a trader who, due to regulatory requirements or internal risk management reasons, is required to hedge a claim $\xi$ in a risk-conservative way relative…

Mathematical Finance · Quantitative Finance 2019-02-19 Laurence Carassus , Jan Obloj , Johannes Wiesel

The present paper provides a multi-period contagion model in the credit risk field. Our model is an extension of Davis and Lo's infectious default model. We consider an economy of n firms which may default directly or may be infected by…

Risk Management · Quantitative Finance 2010-02-01 Didier Rullière , Diana Dorobantu , Areski Cousin

In this paper we investigate discrete time trading under integer constraints, that is, we assume that the offered goods or shares are traded in integer quantities instead of the usual real quantity assumption. For finite probability spaces…

Mathematical Finance · Quantitative Finance 2017-08-28 Stefan Gerhold , Paul Krühner

We depart from the usual methods for pricing contracts with the counterparty credit risk found in most of the existing literature. In effect, typically, these models do not account for either systemic effects or at-first-default contagion…

Pricing of Securities · Quantitative Finance 2013-07-25 Cyril Durand , Marek Rutkowski

We consider pricing weather derivatives for use as protection against weather extremes. The method described utilizes results from spatial statistics and extreme value theory to first model extremes in the weather as a max-stable process,…

Applications · Statistics 2011-09-21 Robert J. Erhardt , Richard L. Smith

This paper proposes to model asset price dynamics with a mixture of diffusion processes where the instantaneous volatility of the underlying diffusion process contains a random vector. The marginal probability distributions of the proposed…

Mathematical Finance · Quantitative Finance 2018-09-20 Xin Liu

A risk-neutral valuation framework is developed for pricing and hedging in-play football bets based on modelling scores by independent Poisson processes with constant intensities. The Fundamental Theorems of Asset Pricing are applied to…

Trading and Market Microstructure · Quantitative Finance 2018-11-12 Sebastian del Bano Rollin , Zsolt Bihari , Tomaso Aste

We study robust notions of good-deal hedging and valuation under combined uncertainty about the drifts and volatilities of asset prices. Good-deal bounds are determined by a subset of risk-neutral pricing measures such that not only…

Mathematical Finance · Quantitative Finance 2017-04-11 Dirk Becherer , Klebert Kentia

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 develop a dynamic point process model of correlated default timing in a portfolio of firms, and analyze typical default profiles in the limit as the size of the pool grows. In our model, a firm defaults at a stochastic intensity that is…

Risk Management · Quantitative Finance 2013-02-13 Kay Giesecke , Konstantinos Spiliopoulos , Richard B. Sowers

We consider the problem of modelling the term structure of defaultable bonds, under minimal assumptions on the default time. In particular, we do not assume the existence of a default intensity and we therefore allow for the possibility of…

Mathematical Finance · Quantitative Finance 2017-11-03 Claudio Fontana , Thorsten Schmidt

This paper proposes a hybrid credit risk model, in closed form, to price vulnerable options with stochastic volatility. The distinctive features of the model are threefold. First, both the underlying and the option issuer's assets follow…

Pricing of Securities · Quantitative Finance 2020-06-22 Gechun Liang , Xingchun Wang

The current research on credit risk is primarily focused on modeling default probabilities. Recovery rates are often treated as an afterthought; they are modeled independently, in many cases they are even assumed constant. This is despite…

Risk Management · Quantitative Finance 2012-10-16 Rudi Schäfer , Alexander F. R. Koivusalo

Evaluation of default correlation is an important task in credit risk analysis. In many practical situations, it concerns the joint defaults of several correlated firms, the task that is reducible to a first passage time (FPT) problem. This…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Di Zhang , Roderick V. N. Melnik

We introduce, in continuous time, an axiomatic approach to assign to any financial position a dynamic ask (resp. bid) price process. Taking into account both transaction costs and liquidity risk this leads to the convexity (resp. concavity)…

Probability · Mathematics 2008-12-02 Jocelyne Bion-Nadal

We study the problem of determination of asset prices in an incomplete market proposing three different but related scenarios. One scenario uses a market game approach whereas the other two are based on risk sharing or regret minimizing…

Pricing of Securities · Quantitative Finance 2009-03-24 Lampros Boukas , Diogo Pinheiro , Alberto Pinto , Stylianos Xanthopoulos , Athanasios Yannacopoulos

We propose a hybrid model of portfolio credit risk where the dynamics of the underlying latent variables is governed by a one factor GARCH process. The distinctive feature of such processes is that the long-term aggregate return…

Pricing of Securities · Quantitative Finance 2010-01-07 Arthur M. Berd , Robert F. Engle , Artem Voronov

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 consider the problem of option hedging in a market with proportional transaction costs. Since super-replication is very costly in such markets, we replace perfect hedging with an expected loss constraint. Asymptotic analysis for small…

Portfolio Management · Quantitative Finance 2014-09-12 Bruno Bouchard , Ludovic Moreau , Mete H. Soner

We contrast Arbitrage Pricing Theory (APT), the theoretical basis for the development of financial instruments, with a dynamical picture of an interacting market, in a simple setting. The proliferation of financial instruments apparently…

Trading and Market Microstructure · Quantitative Finance 2009-10-08 Fabio Caccioli , Matteo Marsili , Pierpaolo Vivo
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