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We study the pricing problem for corporate defaultable bond from the viewpoint of the investors outside the firm that could not exactly know about the information of the firm. We consider the problem for pricing of corporate defaultable…

Pricing of Securities · Quantitative Finance 2013-07-09 Hyong-Chol O , Jong-Jun Jo , Chol-Ho Kim

In this paper, we propose a method that provides a useful technique to compare relationship between risks involved that takes customer become defaulter and debt collection process that might make this defaulter recovered. Through estimation…

Applications · Statistics 2014-08-20 Mauro R. Oliveira , Francisco Louzada

A model is developed to assess the profitability of loans or mortgages with a specified repayment schedule. Financial institutions face two competing risks: default and prepayment, both influenced by the stochastic evolution of credit…

Risk Management · Quantitative Finance 2025-08-12 Quirini Lorenzo , Vannucci Luigi , Quirini Giovanni

In this work, a pricing model for a defaultable corporate bond with credit rating migration risk is established. The model turns out to be a free boundary problem with two free boundaries. The latter are the level sets of the solution but…

Analysis of PDEs · Mathematics 2023-07-21 Yuchao Dong , Jin Liang , Claude-Michel Brauner

Diffusion in a linear potential in the presence of position-dependent killing is used to mimic a default process. Different assumptions regarding transport coefficients, initial conditions, and elasticity of the killing measure lead to…

Computational Finance · Quantitative Finance 2015-05-30 Yuri A. Katz

We consider a market model where there are two levels of information. The public information generated by the financial assets, and a larger flow of information that contains additional knowledge about a random time. This random time can…

Mathematical Finance · Quantitative Finance 2018-05-30 Tahir Choulli , Catherine Daveloose , Michèle Vanmaele

We propose a unified framework for equity and credit risk modeling, where the default time is a doubly stochastic random time with intensity driven by an underlying affine factor process. This approach allows for flexible interactions…

Pricing of Securities · Quantitative Finance 2014-02-19 Claudio Fontana , Juan Miguel A. Montes

This paper deals with applications of coherent risk measures to pricing in incomplete markets. Namely, we study the No Good Deals pricing technique based on coherent risk. Two forms of this technique are presented: one defines a good deal…

Probability · Mathematics 2008-12-02 Alexander S. Cherny

We investigate high frequency price dynamics in foreign exchange market using data from Reuters information system (the dataset has been provided to us by Ols en & Associates). In our analysis we show that a na\"ive approach to the…

Condensed Matter · Physics 2009-11-10 Filippo Petroni , Maurizio Serva

In this article, we apply the forward variance modeling approach by L.Bergomi to the co-terminal swap market model. We build an interest rate model for which all the market price changes of hedging instruments, interest rate swaps and…

Computational Finance · Quantitative Finance 2018-08-27 Kenjiro Oya

The market practice of extrapolating different term structures from different instruments lacks a rigorous justification in terms of cash flows structure and market observables. In this paper, we integrate our previous consistent theory for…

Pricing of Securities · Quantitative Finance 2013-04-05 Andrea Pallavicini , Damiano Brigo

We study capital requirements for bounded financial positions defined as the minimum amount of capital to invest in a chosen eligible asset targeting a pre-specified acceptability test. We allow for general acceptance sets and general…

Risk Management · Quantitative Finance 2014-01-16 Walter Farkas , Pablo Koch-Medina , Cosimo Munari

We consider the problem of constructing an appropriate multivariate model for the study of the counterparty credit risk in credit rating migration problem. For this financial problem different multivariate Markov chain models were proposed.…

Probability · Mathematics 2012-10-08 Guglielmo D'Amico , Raimondo Manca , Giovanni Salvi

This paper investigates whether a financial system can be made more stable if financial institutions share risk by exchanging contingent convertible (CoCo) debt obligations. The question is framed in a financial network model of debt and…

Risk Management · Quantitative Finance 2022-10-27 Zachary Feinstein , T. R. Hurd

In this work we develop a tractable structural model with analytical default probabilities depending on a random default barrier and possibly random volatility ideally associated with a scenario based underlying firm debt. We show how to…

Pricing of Securities · Quantitative Finance 2009-12-17 Damiano Brigo , Marco Tarenghi

The present article provides a novel theoretical way to evaluate tradeability in markets of ordinary exponential L\'evy type. We consider non-tradeability as a particular type of market illiquidity and investigate its impact on the price of…

Mathematical Finance · Quantitative Finance 2020-02-25 Ludovic Mathys

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

We introduce a bond portfolio management theory based on foundations similar to those of stock portfolio management. A general continuous-time zero-coupon market is considered. The problem of optimal portfolios of zero-coupon bonds is…

Optimization and Control · Mathematics 2008-12-10 Ivar Ekeland , Erik Taflin

This paper examines the valuation and hedging of standard equity protection swap (EPS) products proposed by Xu et al.. To account for financial crises and counterparty default risk, we develop pricing frameworks based on Merton's…

Mathematical Finance · Quantitative Finance 2026-05-26 Marek Rutkowski , Huansang Xu

This study develops a multi-factor framework where not only market risk is considered but also potential changes in the investment opportunity set. Although previous studies find no clear evidence about a positive and significant relation…

Statistical Finance · Quantitative Finance 2014-10-23 John Cotter , Enrique Salvador
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