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In this paper we develop a linear expectile hidden Markov model for the analysis of cryptocurrency time series in a risk management framework. The methodology proposed allows to focus on extreme returns and describe their temporal evolution…

Applications · Statistics 2024-01-19 Beatrice Foroni , Luca Merlo , Lea Petrella

We propose to solve large scale Markowitz mean-variance (MV) portfolio allocation problem using reinforcement learning (RL). By adopting the recently developed continuous-time exploratory control framework, we formulate the exploratory MV…

Portfolio Management · Quantitative Finance 2019-08-05 Haoran Wang

The focal point of this paper is the issue of "drawdown" which arises in recursive betting scenarios and related applications in the stock market. Roughly speaking, drawdown is understood to mean drops in wealth over time from peaks to…

Mathematical Finance · Quantitative Finance 2018-08-23 Chung-Han Hsieh , B. Ross Barmish

Managing investment portfolios is an old and well know problem in multiple fields including financial mathematics and financial engineering as well as econometrics and econophysics. Multiple different concepts and theories were used so far…

Portfolio Management · Quantitative Finance 2020-01-08 Jarosław Gruszka , Janusz Szwabiński

We present a detailed study of the performance of a trading rule that uses moving average of past returns to predict future returns on stock indexes. Our main goal is to link performance and the stochastic process of the traded asset. Our…

Statistical Finance · Quantitative Finance 2019-07-03 Fernando F. Ferreira , A. Christian Silva , Ju-Yi Yen

The unpredictability and volatility of the stock market render it challenging to make a substantial profit using any generalised scheme. Many previous studies tried different techniques to build a machine learning model, which can make a…

Trading and Market Microstructure · Quantitative Finance 2023-08-14 A. K. M. Amanat Ullah , Fahim Imtiaz , Miftah Uddin Md Ihsan , Md. Golam Rabiul Alam , Mahbub Majumdar

We study the problem of optimal long term portfolio selection with a view to beat a benchmark. Two kinds of objectives are considered. One concerns the probability of outperforming the benchmark and seeks either to minimise the decay rate…

Probability · Mathematics 2017-12-04 Anatolii A. Puhalskii

We study the high frequency price dynamics of traded stocks by a model of returns using a semi-Markov approach. More precisely we assume that the intraday returns are described by a discrete time homogeneous semi-Markov which depends also…

Statistical Finance · Quantitative Finance 2015-05-30 Guglielmo D'Amico , Filippo Petroni

We study optimal investment in a financial market having a finite number of assets from a signal processing perspective. We investigate how an investor should distribute capital over these assets and when he should reallocate the…

Portfolio Management · Quantitative Finance 2015-06-04 Sait Tunc , Suleyman S. Kozat

In this work, we consider the optimal portfolio selection problem under hard constraints on trading amounts, transaction costs and different rates for borrowing and lending when the risky asset returns are serially correlated. No…

Portfolio Management · Quantitative Finance 2014-10-30 Vladimir Dombrovskii , Tatyana Obedko

Classical portfolio optimization methods typically determine an optimal capital allocation through the implicit, yet critical, assumption of statistical time-invariance. Such models are inadequate for real-world markets as they employ…

Statistical Finance · Quantitative Finance 2021-02-02 Bruno Scalzo , Alvaro Arroyo , Ljubisa Stankovic , Danilo P. Mandic

Asset allocation is an investment strategy that aims to balance risk and reward by constantly redistributing the portfolio's assets according to certain goals, risk tolerance, and investment horizon. Unfortunately, there is no simple…

Portfolio Management · Quantitative Finance 2022-08-16 Ricard Durall

We describe an optimization-based tax-aware portfolio construction method that adds tax liability to standard Markowitz-based portfolio construction. Our method produces a trade list that specifies the number of shares to buy of each asset…

Optimization and Control · Mathematics 2021-02-23 Nicholas Moehle , Mykel J. Kochenderfer , Stephen Boyd , Andrew Ang

The paper studies problem of continuous time optimal portfolio selection for a incom- plete market diffusion model. It is shown that, under some mild conditions, near optimal strategies for investors with different performance criteria can…

Portfolio Management · Quantitative Finance 2014-04-15 Nikolai Dokuchaev

In this paper, a heuristic method based on TabuSearch and TokenRing Search is being used in order to solve the Portfolio Optimization Problem. The seminal mean-variance model of Markowitz is being considered with the addition of cardinality…

Portfolio Management · Quantitative Finance 2022-12-01 Taylan Kabbani

Predicting future stock prices and their movement patterns is a complex problem. Hence, building a portfolio of capital assets using the predicted prices to achieve the optimization between its return and risk is an even more difficult…

Portfolio Management · Quantitative Finance 2021-12-24 Jaydip Sen , Abhishek Dutta , Sidra Mehtab

We study the optimal timing of derivative purchases in incomplete markets. In our model, an investor attempts to maximize the spread between her model price and the offered market price through optimally timing her purchase. Both the…

Pricing of Securities · Quantitative Finance 2011-10-12 Tim Leung , Michael Ludkovski

We seek a discussion about the most suitable feedback control structure for stock trading under the consideration of proportional transaction costs. Suitability refers to robustness and performance capability. Both are tested by considering…

Computational Engineering, Finance, and Science · Computer Science 2017-10-05 Mogens Graf Plessen , Alberto Bemporad

In this paper we propose a new stochastic model based on a generalization of semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that the financial returns are described by a weighted indexed…

Statistical Finance · Quantitative Finance 2015-06-05 Guglielmo D'Amico , Filippo Petroni

In this paper, we propose a market model with returns assumed to follow a multivariate normal tempered stable distribution defined by a mixture of the multivariate normal distribution and the tempered stable subordinator. This distribution…

Portfolio Management · Quantitative Finance 2020-09-22 Young Shin Kim