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This paper describes a new method of bond portfolio optimization based on stochastic string models of correlation structure in bond returns. The paper shows how to approximate correlation function of bond returns, compute the optimal…

Optimization and Control · Mathematics 2025-10-20 Vladislav Kargin

This paper explores the dependence modeling of financial assets in a dynamic way and its critical role in measuring risk. Two new methods, called Accelerated Moving Window method and Bottom-up method are proposed to detect the change of…

Risk Management · Quantitative Finance 2019-08-15 Yali Dou , Haiyan Liu , Georgios Aivaliotis

We study the allocation of synthetic portfolios under hierarchical nested, one-factor, and diagonal structures of the population covariance matrix in a high-dimensional scenario. The noise reduction approaches for the sample realizations…

Computational Finance · Quantitative Finance 2025-03-10 Andrés García-Medina

A positive correlation between exposure and counterparty credit risk gives rise to the so-called Wrong-Way Risk (WWR). Even after a decade of the financial crisis, addressing WWR in both sound and tractable ways remains challenging.…

Risk Management · Quantitative Finance 2021-07-15 Ashish Kumar , Laszlo Markus , Norbert Hari

This paper considers the mean variance portfolio management problem. We examine portfolios which contain both primary and derivative securities. The challenge in this context is due to portfolio's nonlinearities. The delta-gamma…

Portfolio Management · Quantitative Finance 2011-11-08 Yang Li , Traian A Pirvu

We propose a novel framework for approximate factor models that integrates an S-vine copula structure to capture complex dependencies among common factors. Our estimation procedure proceeds in two steps: first, we apply principal component…

Methodology · Statistics 2025-08-18 Jialing Han , Yu-Ning Li

For nearly every major stock market there exist equity and implied volatility indices. These play important roles within finance: be it as a benchmark, a measure of general uncertainty or a way of investing or hedging. It is well known in…

Statistical Finance · Quantitative Finance 2016-04-20 Holger Fink , Yulia Klimova , Claudia Czado , Jakob Stöber

This paper investigates optimal portfolio strategies in a market where the drift is driven by an unobserved Markov chain. Information on the state of this chain is obtained from stock prices and expert opinions in the form of signals at…

Portfolio Management · Quantitative Finance 2016-02-03 Rüdiger Frey , Abdelali Gabih , Ralf Wunderlich

Hedging exotic options in presence of market frictions is an important risk management task. Deep hedging can solve such hedging problems by training neural network policies in realistic simulated markets. Training these neural networks may…

Risk Management · Quantitative Finance 2024-10-31 Konrad Mueller , Amira Akkari , Lukas Gonon , Ben Wood

This article studies and solves the problem of optimal portfolio allocation with CV@R penalty when dealing with imperfectly simulated financial assets. We use a Stochastic biased Mirror Descent to find optimal resource allocation for a…

Optimization and Control · Mathematics 2024-02-20 Manon Costa , Sébastien Gadat , Lorick Huang

We consider the problem of accurately measuring the credit risk of a portfolio consisting of loss exposures such as loans, bonds and other financial assets. We are particularly interested in the probability of large portfolio losses. We…

Computation · Statistics 2015-11-03 Kevin Lam , Zdravko Botev

The main focus of this paper is radius-based (supplier) clustering in the two-stage stochastic setting with recourse, where the inherent stochasticity of the model comes in the form of a budget constraint. In addition to the standard…

Data Structures and Algorithms · Computer Science 2024-04-09 Brian Brubach , Nathaniel Grammel , David G. Harris , Aravind Srinivasan , Leonidas Tsepenekas , Anil Vullikanti

In most real scenarios the construction of a risk-neutral portfolio must be performed in discrete time and with transaction costs. Two human imposed constraints are the risk-aversion and the profit maximization, which together define a…

Risk Management · Quantitative Finance 2021-12-21 G. Mazzei , F. G. Bellora , J. A. Serur

We consider a simplified model for optimizing a single-asset portfolio in the presence of transaction costs given a signal with a certain autocorrelation and cross-correlation structure. In our setup, the portfolio manager is given two…

Optimization and Control · Mathematics 2024-12-18 Chutian Ma , Paul Smith

Uncertainty requires suitable techniques for risk assessment. Combining stochastic approximation and stochastic average approximation, we propose an efficient algorithm to compute the worst case average value at risk in the face of tail…

Risk Management · Quantitative Finance 2022-01-19 Sojung Kim , Stefan Weber

This paper formed part of a preliminary research report for a risk consultancy and academic research. Stochastic Programming models provide a powerful paradigm for decision making under uncertainty. In these models the uncertainties are…

Computational Finance · Quantitative Finance 2009-04-08 Sovan Mitra

The problem of portfolio optimization when stochastic factors drive returns and volatilities has been studied in previous works by the authors. In particular, they proposed asymptotic approximations for value functions and optimal…

Mathematical Finance · Quantitative Finance 2021-10-15 Jean-Pierre Fouque , Ruimeng Hu , Ronnie Sircar

A novel procedure is presented for the objective comparison and evaluation of a bank's decision rules in optimising the timing of loan recovery. This procedure is based on finding a delinquency threshold at which the financial loss of a…

Risk Management · Quantitative Finance 2022-03-25 Arno Botha , Conrad Beyers , Pieter de Villiers

The presented work addresses two-stage stochastic programs (2SPs), a broadly applicable model to capture optimization problems subject to uncertain parameters with adjustable decision variables. In case the adjustable or second-stage…

Optimization and Control · Mathematics 2023-07-21 Jan Kronqvist , Boda Li , Jan Rolfes , Shudian Zhao

Several methods have been proposed in the literature to solve reliability-based optimization problems, where failure probabilities are design constraints. However, few methods address the problem of life-cycle cost or risk optimization,…

Computation · Statistics 2020-07-09 H. M. Kroetz , M. Moustapha , A. T. Beck , B. Sudret
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