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Determining contributions by sub-portfolios or single exposures to portfolio-wide economic capital for credit risk is an important risk measurement task. Often economic capital is measured as Value-at-Risk (VaR) of the portfolio loss…

Statistics Theory · Mathematics 2009-06-18 Dirk Tasche

Equity risk premium is a central component of every risk and return model in finance and a key input to estimate costs of equity and capital in both corporate finance and valuation. An article by Damodaran examines three broad approaches…

Pricing of Securities · Quantitative Finance 2019-03-20 Enzo Busseti

In this paper we discuss a general methodology to compute the market risk measure over long time horizons and at extreme percentiles, which are the typical conditions needed for estimating Economic Capital. The proposed approach extends the…

Risk Management · Quantitative Finance 2014-08-12 Luca Spadafora , Marco Dubrovich , Marcello Terraneo

The stability of the financial system is associated with systemic risk factors such as the concurrent default of numerous small obligors. Hence it is of utmost importance to study the mutual dependence of losses for different creditors in…

Risk Management · Quantitative Finance 2017-06-30 Andreas Mühlbacher , Thomas Guhr

Basel II and Solvency 2 both use the Value-at-Risk (VaR) as the risk measure to compute the Capital Requirements. In practice, to calibrate the VaR, a normal approximation is often chosen for the unknown distribution of the yearly log…

Methodology · Statistics 2013-11-04 Marie Kratz

Accurate estimates of long-term risk probabilities and their gradients are critical for many stochastic safe control methods. However, computing such risk probabilities in real-time and in unseen or changing environments is challenging.…

Systems and Control · Electrical Eng. & Systems 2024-08-20 Zhuoyuan Wang , Yorie Nakahira

Every "x"-adjustment in the so-called xVA financial risk management framework relies on the computation of exposures. Considering thousands of Monte Carlo paths and tens of simulation steps, a financial portfolio needs to be evaluated…

Computational Finance · Quantitative Finance 2022-05-24 Lech A. Grzelak

We consider a large random network, in which the performance of a node depends upon that of its neighbours and some external random influence factors. This results in random vector valued fixed-point (FP) equations in large dimensional…

Probability · Mathematics 2022-12-14 Indrajit Saha , Veeraruna Kavitha

We propose a method for extending a given asset pricing formula to account for two additional sources of risk: the risk associated with future changes in market--calibrated parameters and the remaining risk associated with idiosyncratic…

Disordered Systems and Neural Networks · Physics 2008-12-02 T. R. Hurd

Since Markowitz's mean-variance framework, optimizing a portfolio that maximizes the profit and minimizes the risk has been ubiquitous in the financial industry. Initially, profit and risk were measured by the first two moments of the…

Signal Processing · Electrical Eng. & Systems 2023-09-12 Xiwen Wang , Rui Zhou , Jiaxi Ying , Daniel P. Palomar

Accurately estimating risk measures for financial portfolios is critical for both financial institutions and regulators. However, many existing models operate at the aggregate portfolio level and thus fail to capture the complex…

Portfolio Management · Quantitative Finance 2023-02-10 Emanuel Sommer , Karoline Bax , Claudia Czado

Propose a deep learning driven multi factor investment model optimization method for risk control. By constructing a deep learning model based on Long Short Term Memory (LSTM) and combining it with a multi factor investment model, we…

Computational Finance · Quantitative Finance 2025-07-02 Ruisi Li , Xinhui Gu

In academic literature portfolio risk management and hedging are often versed in the language of stochastic control and Hamilton--Jacobi--Bellman~(HJB) equations in continuous time. In practice the continuous-time framework of stochastic…

Portfolio Management · Quantitative Finance 2023-09-28 Paul Alexander Bilokon

Accurate volatility forecasts are vital in modern finance for risk management, portfolio allocation, and strategic decision-making. However, existing methods face key limitations. Fully multivariate models, while comprehensive, are…

Statistical Finance · Quantitative Finance 2025-10-09 Duo Zhang , Jiayu Li , Junyi Mo , Elynn Chen

Classical mean-variance portfolio theory tells us how to construct a portfolio of assets which has the greatest expected return for a given level of return volatility. Utility theory then allows an investor to choose the point along this…

Portfolio Management · Quantitative Finance 2009-09-21 Alex Dannenberg

Modern portfolio theory has provided for decades the main framework for optimizing portfolios. Because of its sensitivity to small changes in input parameters, especially expected returns, the mean-variance framework proposed by Markowitz…

Portfolio Management · Quantitative Finance 2023-09-06 Adil Rengim Cetingoz , Jean-David Fermanian , Olivier Guéant

We study policy evaluation of offline contextual bandits subject to unobserved confounders. Sensitivity analysis methods are commonly used to estimate the policy value under the worst-case confounding over a given uncertainty set. However,…

Machine Learning · Statistics 2026-01-13 Kei Ishikawa , Niao He , Takafumi Kanamori

We investigate whether sophisticated volatility estimation improves the out-of-sample performance of mean-variance portfolio strategies relative to the naive 1/N strategy. The portfolio strategies rely solely upon second moments. Using a…

General Finance · Quantitative Finance 2022-02-15 Michael Curran , Patrick O'Sullivan , Ryan Zalla

Estimation of high dimensional covariance matrices is an interesting and important research topic. In this paper, we propose a dynamic structure and develop an estimation procedure for high dimensional covariance matrices. Asymptotic…

Methodology · Statistics 2015-06-05 Shaojun Guo , John Box , Wenyang Zhang

Measuring the corporate default risk is broadly important in economics and finance. Quantitative methods have been developed to predictively assess future corporate default probabilities. However, as a more difficult yet crucial problem,…

Applications · Statistics 2018-04-26 Miao Yuan , Cheng Yong Tang , Yili Hong , Jian Yang
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