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We consider a financial market with zero-coupon bonds that are exposed to credit and liquidity risk. We revisit the famous Jarrow & Turnbull setting in order to account for these two intricately intertwined risk types. We utilise the…

Mathematical Finance · Quantitative Finance 2020-04-28 Thomas Krabichler , Josef Teichmann

Economic and financial crises are characterised by unusually large events. These tail events co-move because of linear and/or nonlinear dependencies. We introduce TailCoR, a metric that combines (and disentangles) these linear and…

Statistical Finance · Quantitative Finance 2020-12-01 Slađana Babić , Christophe Ley , Lorenzo Ricci , David Veredas

We follow a long path for Credit Derivatives and Collateralized Debt Obligations (CDOs) in particular, from the introduction of the Gaussian copula model and the related implied correlations to the introduction of arbitrage-free dynamic…

Pricing of Securities · Quantitative Finance 2010-02-17 Damiano Brigo , Andrea Pallavicini , Roberto Torresetti

Nonlinear regression has been extensively employed in many computer vision problems (e.g., crowd counting, age estimation, affective computing). Under the umbrella of deep learning, two common solutions exist i) transforming nonlinear…

Computer Vision and Pattern Recognition · Computer Science 2019-08-27 Le Zhang , Zenglin Shi , Ming-Ming Cheng , Yun Liu , Jia-Wang Bian , Joey Tianyi Zhou , Guoyan Zheng , Zeng Zeng

The case-control sampling design serves as a pivotal strategy in mitigating the imbalanced structure observed in binary data. We consider the estimation of a non-parametric logistic model with the case-control data supplemented by external…

Machine Learning · Statistics 2024-09-04 Hengchao Shi , Ming Zheng , Wen Yu

We propose a new semiparametric approach for modelling nonlinear univariate diffusions, where the observed process is a nonparametric transformation of an underlying parametric diffusion (UPD). This modelling strategy yields a general class…

Econometrics · Economics 2020-05-08 Ruijun Bu , Kaddour Hadri , Dennis Kristensen

We develop a nonparametric test for deciding whether volatility of an asset follows a standard semimartingale process, with paths of finite quadratic variation, or a rough process with paths of infinite quadratic variation. The test…

Statistics Theory · Mathematics 2024-07-16 Carsten H. Chong , Viktor Todorov

A geometric representation for multivariate extremes, based on the shapes of scaled sample clouds in light-tailed margins and their so-called limit sets, has recently been shown to connect several existing extremal dependence concepts.…

Methodology · Statistics 2023-11-03 Jennifer Wadsworth , Ryan Campbell

This paper analyzes the pricing of collateralized derivatives, i.e. contracts where counterparties are not only subject to financial derivatives cash flows but also to collateral cash flows arising from a collateral agreement. We do this…

Pricing of Securities · Quantitative Finance 2024-06-19 Alessio Calvelli

Despite the tremendous advances achieved over the past years by deep learning techniques, the latest risk prediction models for industrial applications still rely on highly handtuned stage-wised statistical learning tools, such as gradient…

Machine Learning · Computer Science 2023-08-08 Yancheng Liang , Jiajie Zhang , Hui Li , Xiaochen Liu , Yi Hu , Yong Wu , Jinyao Zhang , Yongyan Liu , Yi Wu

Conformal Prediction methods have finite-sample distribution-free marginal coverage guarantees. However, they generally do not offer conditional coverage guarantees, which can be important for high-stakes decisions. In this paper, we…

Machine Learning · Statistics 2024-09-27 Ruijiang Gao , Mingzhang Yin , James McInerney , Nathan Kallus

There are many studies on development of models for analyzing some derivatives such as credit default swaps .

Pricing of Securities · Quantitative Finance 2017-06-20 Zahra Sokoot , Navideh Modarresi , Farzaneh Niknejad

The collateral choice option allows a collateral-posting party the opportunity to change the type of security in which the collateral is deposited. Due to non-zero collateral basis spreads, this optionality significantly impacts asset…

Risk Management · Quantitative Finance 2022-08-17 Griselda Deelstra , Lech A. Grzelak , Felix L. Wolf

Decision trees are powerful machine learning algorithms, widely used in fields such as economics and medicine for their simplicity and interpretability. However, decision trees such as CART are prone to overfitting, especially when grown…

Machine Learning · Statistics 2026-01-13 Likun Zhang , Wei Ma

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

Nonparametric regression and regression-discontinuity designs suffer from smoothing bias that distorts conventional confidence intervals. Solutions based on robust bias correction (RBC) are now central to the economist's toolbox. In this…

We develop a new nonparametric approach for estimating the risk-neutral density of asset prices and reformulate its estimation into a double-constrained optimization problem. We evaluate our approach using the S\&P 500 market option prices…

Pricing of Securities · Quantitative Finance 2019-02-20 Liyuan Jiang , Shuang Zhou , Keren Li , Fangfang Wang , Jie Yang

Understanding variable dependence, particularly eliciting their statistical properties given a set of covariates, provides the mathematical foundation in practical operations management such as risk analysis and decision-making given…

Methodology · Statistics 2023-09-06 Yunyun Wang , Tatsushi Oka , Dan Zhu

In risk management, tail risks are of crucial importance. The quality of a tail model, which is determined by data from an unknown distribution, depends critically on the subset of data used to model the tail. Based on a suitably weighted…

Methodology · Statistics 2021-01-19 Ingo Hoffmann , Christoph J. Börner

We propose a novel symbolic modeling framework for decision-making under risk that merges interpretability with the core insights of Prospect Theory. Our approach replaces opaque utility curves and probability weighting functions with…

Artificial Intelligence · Computer Science 2025-04-22 Ali Arslan Yousaf , Umair Rehman , Muhammad Umair Danish