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In this paper, we propose a new threshold-kernel jump-detection method for jump-diffusion processes, which iteratively applies thresholding and kernel methods in an approximately optimal way to achieve improved finite-sample performance. We…

统计理论 · 数学 2020-04-07 José E. Figueroa-López , Cheng Li , Jeffrey Nisen

Changes in collateralization have been implicated in significant default (or near-default) events during the financial crisis, most notably with AIG. We have developed a framework for quantifying this effect based on moving between…

风险管理 · 定量金融 2013-02-20 Chris Kenyon , Andrew Green

We investigate three different methods for systematically approximating the diffusion coefficient of a deterministic random walk on the line which contains dynamical correlations that change irregularly under parameter variation. Capturing…

数学物理 · 物理学 2015-05-28 Georgie Knight , Rainer Klages

Multifidelity Monte Carlo methods often rely on a preprocessing phase consisting of standard Monte Carlo sampling to estimate correlation coefficients between models of different fidelity to determine the weights and number of samples for…

数据分析、统计与概率 · 物理学 2021-06-29 Todd A. Oliver , Christopher S. Simmons , Robert D. Moser

We discuss suitable classes of diffusion processes, for which functionals relevant to finance can be computed via Monte Carlo methods. In particular, we construct exact simulation schemes for processes from this class. However, should the…

数值分析 · 数学 2012-04-06 Jan Baldeaux , Eckhard Platen

We study a simple, solvable model that allows us to investigate effects of credit contagion on the default probability of individual firms, in both portfolios of firms and on an economy wide scale. While the effect of interactions may be…

物理与社会 · 物理学 2008-12-02 J. P. L. Hatchett , R. Kuehn

Credit Default Swaps (CDS) on a reference entity may be traded in multiple currencies, in that protection upon default may be offered either in the domestic currency where the entity resides, or in a more liquid and global foreign currency.…

证券定价 · 定量金融 2018-01-23 Damiano Brigo , Nicola Pede , Andrea Petrelli

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…

证券定价 · 定量金融 2010-02-03 Damiano Brigo , Andrea Pallavicini , Vasileios Papatheodorou

We are considering the problem of optimal portfolio delegation between an investor and a portfolio manager under a random default time. We focus on a novel variation of the Principal-Agent problem adapted to this framework. We address the…

数理金融 · 定量金融 2024-10-18 Alberto Gennaro , Thibaut Mastrolia

Effective credit risk management is fundamental to financial decision-making, requiring robust models to predict default probabilities and classify financial entities. Traditional machine learning approaches face significant challenges when…

机器学习 · 计算机科学 2026-03-31 Haibo Wang , Jun Huang , Lutfu S. Sua , Figen Balo , Burak Dolar

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…

风险管理 · 定量金融 2025-08-12 Quirini Lorenzo , Vannucci Luigi , Quirini Giovanni

This article gives a probabilistic overview of the widely used method of default probability estimation proposed by K. Pluto and D. Tasche. There are listed detailed assumptions and derivation of the inequality where the probability of…

风险管理 · 定量金融 2024-01-26 Andrius Grigutis

This work deals with an optimal asset allocation problem for a defined contribution (DC) pension plan during its accumulation phase. The contribution rate is proportional to the individual's salary, the dynamics of which follows a Heston…

最优化与控制 · 数学 2021-03-04 Xiaoyi Zhang , Linlin Tian

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…

风险管理 · 定量金融 2008-12-02 Dirk Tasche

Credit default prediction is a tabular learning problem with severe class imbalance, heterogeneous features, and tight latency budgets. Tabular Foundation Models (TFMs) approach this problem through in-context learning, which makes their…

机器学习 · 计算机科学 2026-05-19 Aditya Tanna , Mitul Solanki , Mohamed Bouadi , Nassim Bouarour , Pratinav Seth , Vinay Kumar Sankarapu

The long-time dynamics of reaction-diffusion processes in low dimensions is dominated by fluctuation effects. The one-dimensional coagulation-diffusion process describes the kinetics of particles which freely hop between the sites of a…

统计力学 · 物理学 2013-01-15 Xavier Durang , Jean-Yves Fortin , Diego Del Biondo , Malte Henkel , Jean Richert

We study the rate of weak convergence of Markov chains to diffusion processes under suitable but quite general assumptions. We give an example in the financial framework, applying the convergence analysis to a multiple jumps tree…

概率论 · 数学 2020-05-06 Maya Briani , Lucia Caramellino , Giulia Terenzi

Networked-guarantee loans may cause the systemic risk related concern of the government and banks in China. The prediction of default of enterprise loans is a typical extremely imbalanced prediction problem, and the networked-guarantee make…

计算工程、金融与科学 · 计算机科学 2020-06-09 Dawei Cheng , Zhibin Niu , Yi Tu , Liqing Zhang

The $\gamma$-FDP and $k$-FWER multiple testing error metrics, which are tail probabilities of the respective error statistics, have become popular recently as less-stringent alternatives to the FDR and FWER. We propose general and flexible…

统计方法学 · 统计学 2016-12-20 Jay Bartroff

The aim of this paper is to examine the time scaling of the semivariance when returns are modeled by various types of jump-diffusion processes, including stochastic volatility models with jumps in returns and in volatility. In particular,…

统计金融 · 定量金融 2013-11-06 Rodrigue Oeuvray , Pascal Junod