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We examine strategically incorporating broad stock market leveraged exchange-traded funds (LETFs) into investment portfolios. We demonstrate that easily understandable and implementable strategies can enhance the risk-return profile of a…

Computational Finance · Quantitative Finance 2025-06-25 Peter Forsyth , Pieter van Staden , Yuying Li

Equity options are known to be notoriously difficult to price accurately, and even with the development of established mathematical models there are many assumptions that must be made about the underlying processes driving market movements.…

Economics · Quantitative Finance 2017-08-24 Adam Wu

High-frequency data observed on the prices of financial assets are commonly modeled by diffusion processes with micro-structure noise, and realized volatility-based methods are often used to estimate integrated volatility. For problems…

Statistics Theory · Mathematics 2010-02-26 Yazhen Wang , Jian Zou

We propose a pairs trading model that incorporates a time-varying volatility of the Constant Elasticity of Variance type. Our approach is based on stochastic control techniques; given a fixed time horizon and a portfolio of two…

Optimization and Control · Mathematics 2021-11-05 T. N. Li , A. Tourin

We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to managing the Value at Risk (VaR) assuming a heavy tailed distribution of…

Portfolio Management · Quantitative Finance 2020-12-02 Subhojit Biswas , Mrinal K. Ghosh , Diganta Mukherjee

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

Probability · Mathematics 2014-01-10 Idris Kharroubi , Huyen Pham

This study explores the use of Transformer-based models to predict both covariance and semi-covariance matrices for ETF portfolio optimization. Traditional portfolio optimization techniques often rely on static covariance estimates or…

Portfolio Management · Quantitative Finance 2024-12-02 Jiahao Zhu , Hengzhi Wu

We consider an investor, whose portfolio consists of a single risky asset and a risk free asset, who wants to maximize his expected utility of the portfolio subject to the Value at Risk assuming a heavy tail distribution of the stock prices…

Portfolio Management · Quantitative Finance 2020-12-02 Subhojit Biswas , Diganta Mukherjee

We derive analytic series representations for European option prices in polynomial stochastic volatility models. This includes the Jacobi, Heston, Stein-Stein, and Hull-White models, for which we provide numerical case studies. We find that…

Mathematical Finance · Quantitative Finance 2019-05-21 Damien Ackerer , Damir Filipovic

High-frequency market making is a liquidity-providing trading strategy that simultaneously generates many bids and asks for a security at ultra-low latency while maintaining a relatively neutral position. The strategy makes a profit from…

Computational Engineering, Finance, and Science · Computer Science 2021-10-01 Pankaj Kumar

Portfolio optimisation is essential in quantitative investing, but its implementation faces several practical difficulties. One particular challenge is converting optimal portfolio weights into real-life trades in the presence of realistic…

Portfolio Management · Quantitative Finance 2024-10-01 Cristiano Arbex Valle

This research presents a comprehensive framework for analyzing liquidity in financial markets, particularly in the context of high-frequency trading. By leveraging advanced machine learning classification techniques, including Logistic…

Trading and Market Microstructure · Quantitative Finance 2024-08-20 Sid Bhatia , Sidharth Peri , Sam Friedman , Michelle Malen

We propose and experimentally demonstrate an innovative stock index prediction method using a weighted optical reservoir computing system. We construct fundamental market data combined with macroeconomic data and technical indicators to…

Machine Learning · Computer Science 2024-08-02 Fang Wang , Ting Bu , Yuping Huang

This survey reviews portfolio choice in settings where investment opportunities are stochastic due to, e.g., stochastic volatility or return predictability. It is explained how to heuristically compute candidate optimal portfolios using…

Portfolio Management · Quantitative Finance 2013-11-08 Ren Liu , Johannes Muhle-Karbe

The standard approach for constructing a Mean-Variance portfolio involves estimating parameters for the model using collected samples. However, since the distribution of future data may not resemble that of the training set, the…

Mathematical Finance · Quantitative Finance 2025-03-12 Duy Khanh Lam

We propose a framework for studying optimal market making policies in a limit order book (LOB). The bid-ask spread of the LOB is modelled by a Markov chain with finite values, multiple of the tick size, and subordinated by the Poisson…

Trading and Market Microstructure · Quantitative Finance 2011-06-29 Fabien Guilbaud , Huyen Pham

This paper develops and empirically evaluates a Sharpe-driven stock selection and liquidity-constrained portfolio optimization framework designed for the Chinese equity market. The proposed methodology integrates three sequential stages:…

Operating Systems · Computer Science 2025-11-18 Thanh Nguyen

In this paper, motivated by the celebrated work of Kelly, we consider the problem of portfolio weight selection to maximize expected logarithmic growth. Going beyond existing literature, our focal point here is the rebalancing frequency…

Portfolio Management · Quantitative Finance 2019-01-28 Chung-Han Hsieh , John A. Gubner , B. Ross Barmish

This paper studies the robust optimal gain selection problem for financial trading systems, formulated within a \emph{double linear policy} framework, which allocates capital across long and short positions. The key objective is to…

Systems and Control · Electrical Eng. & Systems 2025-01-20 Chung-Han Hsieh

With the increasing integration of power plants into the frequency-regulation markets, the importance of optimal trading has grown substantially. This paper conducts an in-depth analysis of their optimal trading behavior in sequential…

Systems and Control · Electrical Eng. & Systems 2023-10-30 Saeed Nordin , Abolfazl Khodadadi , Priyanka Shinde , Evelin Blom , Mohammad Reza Hesamzadeh , Lennart Söder