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In this paper, we study a continuous time structural asset value model for two correlated firms using a two-dimensional Brownian motion. We consider the situation of incomplete information, where the information set available to the market…

Mathematical Finance · Quantitative Finance 2016-01-28 Wai-Ki Ching , Jia-Wen Gu , Harry Zheng

This paper re-examines the problem of estimating risk premia in linear factor pricing models. Typically, the data used in the empirical literature are characterized by weakness of some pricing factors, strong cross-sectional dependence in…

Econometrics · Economics 2019-04-09 Stanislav Anatolyev , Anna Mikusheva

We propose a model which can be jointly calibrated to the corporate bond term structure and equity option volatility surface of the same company. Our purpose is to obtain explicit bond and equity option pricing formulas that can be…

Computational Engineering, Finance, and Science · Computer Science 2008-09-21 Erhan Bayraktar , Bo Yang

We consider structural credit modeling in the important special case where the log-leverage ratio of the firm is a time-changed Brownian motion (TCBM) with the time-change taken to be an independent increasing process. Following the…

Statistical Finance · Quantitative Finance 2011-02-14 T. R. Hurd , Zhuowei Zhou

We introduce a novel class of credit risk models in which the drift of the survival process of a firm is a linear function of the factors. The prices of defaultable bonds and credit default swaps (CDS) are linear-rational in the factors.…

Mathematical Finance · Quantitative Finance 2019-07-23 Damien Ackerer , Damir Filipović

We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firm's ability to avoid default even if company's liabilities momentarily exceeding its assets. Diffusion in a…

Risk Management · Quantitative Finance 2011-01-05 Yuri A. Katz , Nikolai V. Shokhirev

Even in the simple one-factor credit portfolio model that underlies the Basel II regulatory capital rules coming into force in 2007, the exact contributions to credit value-at-risk can only be calculated with Monte-Carlo simulation or with…

Other Condensed Matter · Physics 2008-12-10 Susanne Emmer , Dirk Tasche

In this paper we analyse the five-factor capital market model of Munk et al.(2004). The model features a Vasicek interest rate model, an equity index with mean-reverting excess return and an index for realized inflation with mean-reverting…

Mathematical Finance · Quantitative Finance 2022-01-14 Søren Fiig Jarner , Michael Preisel

In this paper we provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form of an interacting generalization of the geometric Brownian…

Statistical Finance · Quantitative Finance 2018-06-06 Kartik Anand , Jonathan Khedair , Reimer Kuehn

The recent financial crisis has led to so-called multi-curve models for the term structure. Here we study a multi-curve extension of short rate models where, in addition to the short rate itself, we introduce short rate spreads. In…

Pricing of Securities · Quantitative Finance 2016-06-06 Zorana Grbac , Laura Meneghello , Wolfgang J. Runggaldier

We present a general Markovian framework for order book modeling. Through our approach, we aim at providing a tool enabling to get a better understanding of the price formation process and of the link between microscopic and macroscopic…

Trading and Market Microstructure · Quantitative Finance 2015-05-20 Weibing Huang , Mathieu Rosenbaum

We consider evaluation methods for payoffs with an inherent financial risk as encountered for instance for portfolios held by pension funds and insurance companies. Pricing such payoffs in a way consistent to market prices typically…

Pricing of Securities · Quantitative Finance 2014-04-04 Mitja Stadje , Antoon Pelsser

We set up a structural model to study credit risk for a portfolio containing several or many credit contracts. The model is based on a jump--diffusion process for the risk factors, i.e. for the company assets. We also include correlations…

Risk Management · Quantitative Finance 2008-12-02 Rudi Schäfer , Markus Sjölin , Andreas Sundin , Michal Wolanski , Thomas Guhr

We consider the forward investment problem in market models where the stock prices are continuous semimartingales adapted to a Brownian filtration. We construct a broad class of forward performance processes with initial conditions of power…

Mathematical Finance · Quantitative Finance 2020-12-22 Levon Avanesyan , Ronnie Sircar

The two main approaches in credit risk are the structural approach pioneered in Merton (1974) and the reduced-form framework proposed in Jarrow & Turnbull (1995) and in Artzner & Delbaen (1995). The goal of this article is to provide a…

Mathematical Finance · Quantitative Finance 2015-07-14 Frank Gehmlich , Thorsten Schmidt

This paper proposes a portfolio construction framework designed to remain robust under estimation error, non-stationarity, and realistic trading constraints. The methodology combines dynamic asset eligibility, deterministic rebalancing, and…

Optimization and Control · Mathematics 2026-01-12 Roberto Garrone

A new framework for asset pricing based on modelling the information available to market participants is presented. Each asset is characterised by the cash flows it generates. Each cash flow is expressed as a function of one or more…

Pricing of Securities · Quantitative Finance 2008-12-02 Andrea Macrina

This work focuses on financial risks from a probabilistic point of view. The value of a firm is described as a geometric Brownian motion and default emerges as a first passage time event. On the technical side, the critical threshold that…

Mathematical Finance · Quantitative Finance 2025-07-14 Carlos Bouthelier-Madre , Carlos Escudero

Fractional Brownian motion has become a standard tool to address long-range dependence in financial time series. However, a constant memory parameter is too restrictive to address different market conditions. Here we model the price…

Mathematical Finance · Quantitative Finance 2024-07-31 Axel A. Araneda

This paper presents an augmented deep factor model that generates latent factors for cross-sectional asset pricing. The conventional security sorting on firm characteristics for constructing long-short factor portfolio weights is nonlinear…

Methodology · Statistics 2024-12-11 Guanhao Feng , Jingyu He , Nicholas G. Polson , Jianeng Xu