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We propose a general family of piecewise hyperbolic absolute risk aversion (PHARA) utilities, including many classic and non-standard utilities as examples. A typical application is the composition of a HARA preference and a piecewise…

Mathematical Finance · Quantitative Finance 2023-10-11 Zongxia Liang , Yang Liu , Ming Ma , Rahul Pothi Vinoth

Hedge Funds are considered as one of the portfolio management sectors which shows a fastest growing for the past decade. An optimal Hedge Fund management requires an appropriate risk metrics. The classic CAPM theory and its Ratio Sharpe…

Physics and Society · Physics 2008-12-02 Josep Perello

This work proposes a conformal approach for energy storage arbitrage to control the downside risk arising from imperfect price forecasts. Energy storage arbitrage relies solely on predictions of future market prices, while inaccurate price…

Systems and Control · Electrical Eng. & Systems 2025-12-10 Yiqian Wu , Ming Yi , Bolun Xu , James Anderson

Low-frequency historical data, high-frequency historical data and option data are three major sources, which can be used to forecast the underlying security's volatility. In this paper, we propose two econometric models, which integrate…

Statistical Finance · Quantitative Finance 2019-07-08 Huiling Yuan , Yong Zhou , Zhiyuan Zhang , Xiangyu Cui

Orthogonal Generalized Autoregressive Conditional Heteroskedasticity model (OGARCH) is widely used in finance industry to produce volatility and correlation forecasts. We show that the classic OGARCH model, nevertheless, tends to be too…

Methodology · Statistics 2019-09-27 Yufan Li

Monitoring downside risk and upside risk to the key macroeconomic indicators is critical for effective policymaking aimed at maintaining economic stability. In this paper I propose a parametric framework for modelling and forecasting…

Econometrics · Economics 2023-11-21 Andrea Renzetti

We revisit Machina's local utility as a tool to analyze attitudes to multivariate risks. We show that for non-expected utility maximizers choosing between multivariate prospects, aversion to multivariate mean preserving increases in risk is…

Theoretical Economics · Economics 2021-02-23 Arthur Charpentier , Alfred Galichon , Marc Henry

We use a series of pre-registered, incentive-compatible online experiments to investigate how people evaluate and choose among different waiting time distributions. Our main findings are threefold. First, consistent with prior literature,…

General Economics · Economics 2026-02-09 Evgeny Kagan , Kyle Hyndman , Andrew Davis

We consider the problem of ESO valuation in continuous time. In particular, we consider models that assume that an appropriate random time serves as a proxy for anything that causes the ESO's holder to exercise the option early, namely,…

Pricing of Securities · Quantitative Finance 2017-10-04 Kamil Kladivko , Mihail Zervos

Energy storage devices, such as batteries, thermal energy storages, and hydrogen systems, can help mitigate climate change by ensuring a more stable and sustainable power supply. To maximize the effectiveness of such energy storage,…

Machine Learning · Computer Science 2024-05-21 Jaeik Jeong , Tai-Yeon Ku , Wan-Ki Park

This paper introduces a novel stochastic control framework to enhance the capabilities of automated investment managers, or robo-advisors, by accurately inferring clients' investment preferences from past activities. Our approach leverages…

Optimization and Control · Mathematics 2024-06-05 Haoyang Cao , Zhengqi Wu , Renyuan Xu

This paper studies a continuous-time portfolio selection problem under a general distribution of random risk aversion (RRA). We provide a complete characterization of all deterministic equilibrium strategies in closed form. Our results show…

Mathematical Finance · Quantitative Finance 2026-02-02 Weilun Cheng , Zongxia Liang , Sheng Wang , Jianming Xia

We tackle the problem of estimating risk measures of the infinite-horizon discounted cost within a Markov cost process. The risk measures we study include variance, Value-at-Risk (VaR), and Conditional Value-at-Risk (CVaR). First, we show…

Machine Learning · Computer Science 2024-04-12 Gugan Thoppe , L. A. Prashanth , Sanjay Bhat

This paper introduces a novel approach to financial risk analysis that does not rely on traditional price and market data, instead using market news to model assets as distributions over a metric space of risk factors. By representing asset…

Computational Finance · Quantitative Finance 2024-11-01 Marcus Gawronsky , Chun-Sung Huang

We investigate a continuous-time investment-consumption problem with model uncertainty in a general diffusion-based market with random model coefficients. We assume that a power utility investor is ambiguity-averse, with the preference to…

Portfolio Management · Quantitative Finance 2024-07-04 Len Patrick Dominic M. Garces , Yang Shen

Although quantile regression to calculate risk measures has been widely established in the financial literature, when considering data observed at mixed--frequency, an extension is needed. In this paper, a model is suggested built on a…

Statistical Finance · Quantitative Finance 2023-03-17 Vincenzo Candila , Giampiero M. Gallo , Lea Petrella

The fundamental principle in Modern Portfolio Theory (MPT) is based on the quantification of the portfolio's risk related to performance. Although MPT has made huge impacts on the investment world and prompted the success and prevalence of…

Portfolio Management · Quantitative Finance 2021-02-15 Shi Yu , Haoran Wang , Chaosheng Dong

While the investors' responses to price changes and their price forecasts are well accepted major factors contributing to large price fluctuations in financial markets, our study shows that investors' heterogeneous and dynamic risk aversion…

Physics and Society · Physics 2008-12-02 Baosheng Yuan , Kan Chen

Volatility, as a measure of uncertainty, plays a crucial role in numerous financial activities such as risk management. The Econometrics and Machine Learning communities have developed two distinct approaches for financial volatility…

Statistical Finance · Quantitative Finance 2024-02-13 Pengfei Zhao , Haoren Zhu , Wilfred Siu Hung NG , Dik Lun Lee

We address deterministic resource allocation in point-to-point multi-terminal AWGN channels without inter-terminal interference, with particular focus on optimizing quantile transmission rates for cell-edge terminal service. Classical…

Signal Processing · Electrical Eng. & Systems 2025-07-16 Gokberk Yaylali , Ahmad Ali Khan , Dionysios S. Kalogerias