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We discuss a weighted estimation of correlation and covariance matrices from historical financial data. To this end, we introduce a weighting scheme that accounts for similarity of previous market conditions to the present one. The…

Statistical Finance · Quantitative Finance 2010-07-01 Michael C. Münnix , Rudi Schäfer , Oliver Grothe

For a long investment time horizon, it is preferable to rebalance the portfolio weights at intermediate times. This necessitates a multi-period market model in which portfolio optimization is usually done through dynamic programming.…

Portfolio Management · Quantitative Finance 2024-05-29 Shubhangi Sikaria , Rituparna Sen , Neelesh S. Upadhye

A time series model for the FX dynamics is presented which takes into account structural peculiarities of the market, namely its heterogeneity and an information flow from long to short time horizons. The model emerges from an analogy…

Statistical Mechanics · Physics 2016-08-31 Wolfgang Breymann , Shoaleh Ghashghaie , Peter Talkner

We investigate topology and temporal evolution of the foreign currency exchange market viewed from a weighted network perspective. Based on exchange rates for a set of 46 currencies (including precious metals), we construct different…

Statistical Finance · Quantitative Finance 2009-02-02 Jaroslaw Kwapien , Sylwia Gworek , Stanislaw Drozdz

In this paper, we document a novel machine learning based bottom-up approach for static and dynamic portfolio optimization on, potentially, a large number of assets. The methodology applies to general constrained optimization problems and…

Mathematical Finance · Quantitative Finance 2020-11-24 Qing Yang , Zhenning Hong , Ruyan Tian , Tingting Ye , Liangliang Zhang

We adopt Deep Reinforcement Learning algorithms to design trading strategies for continuous futures contracts. Both discrete and continuous action spaces are considered and volatility scaling is incorporated to create reward functions which…

Computational Finance · Quantitative Finance 2019-11-25 Zihao Zhang , Stefan Zohren , Stephen Roberts

We introduce Spatio-Temporal Momentum strategies, a class of models that unify both time-series and cross-sectional momentum strategies by trading assets based on their cross-sectional momentum features over time. While both time-series and…

Portfolio Management · Quantitative Finance 2023-12-08 Wee Ling Tan , Stephen Roberts , Stefan Zohren

In this paper, we combine modern portfolio theory and option pricing theory so that a trader who takes a position in a European option contract and the underlying assets can construct an optimal portfolio such that at the moment of the…

Mathematical Finance · Quantitative Finance 2020-01-06 Abootaleb Shirvani , Frank J. Fabozzi , Stoyan V. Stoyanov

The era of information explosion had prompted the accumulation of a tremendous amount of time-series data, including stationary and non-stationary time-series data. State-of-the-art algorithms have achieved a decent performance in dealing…

Machine Learning · Computer Science 2021-11-23 Xipei Wang , Haoyu Zhang , Yuanbo Zhang , Meng Wang , Jiarui Song , Tin Lai , Matloob Khushi

We suggest an intermediate currency approach that allows us to price options on all FX markets simultaneously under the same risk-neutral measure which ensures consistency of FX option prices across all markets. In particular, it is…

Mathematical Finance · Quantitative Finance 2021-02-16 S. Maurer , T. E. Sharp , M. V. Tretyakov

This paper investigates the problem of ensembling multiple strategies for sequential portfolios to outperform individual strategies in terms of long-term wealth. Due to the uncertainty of strategies' performances in the future market, which…

Portfolio Management · Quantitative Finance 2025-02-07 Duy Khanh Lam

Portfolio theory is a very powerful tool in the modern investment theory. It is helpful in estimating risk of an investor's portfolio, which arises from our lack of information, uncertainty and incomplete knowledge of reality, which forbids…

Physics and Society · Physics 2010-04-27 Malgorzata Snarska , Jakub Krzych

We seek to extract a small number of representative scenarios from large panel data that are consistent with sample moments. Among two novel algorithms, the first identifies scenarios that have not been observed before, and comes with a…

Machine Learning · Statistics 2024-11-06 Michael Multerer , Paul Schneider , Rohan Sen

In this paper, we examine the capacity of an arbitrage-free neural-SDE market model to produce realistic scenarios for the joint dynamics of multiple European options on a single underlying. We subsequently demonstrate its use as a risk…

Computational Finance · Quantitative Finance 2022-02-16 Samuel N. Cohen , Christoph Reisinger , Sheng Wang

In this study, we propose a novel model called the Markov-switching dynamic matrix factor (Ms-DMF) model, which serves the dual purpose of structural interpretation and prediction for high-dimensional matrix time series. When estimating the…

Methodology · Statistics 2025-12-24 Chaofeng Yuan , Sainan Xu , Xingbing Kong , Jianhua Guo

We develop a new analysis for portfolio optimisation with options, tackling the three fundamental issues with this problem: asymmetric options' distributions, high dimensionality and dependence structure. To do so, we propose a new…

Portfolio Management · Quantitative Finance 2024-09-10 Jonathan Raimana Chan , Thomas Huckle , Antoine Jacquier , Aitor Muguruza

This paper initiates a study into the century-old issue of market predictability from the perspective of computational complexity. We develop a simple agent-based model for a stock market where the agents are traders equipped with simple…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 James Aspnes , David F. Fischer , Michael J. Fischer , Ming-Yang Kao , Alok Kumar

We explore online inductive transfer learning, with a feature representation transfer from a radial basis function network formed of Gaussian mixture model hidden processing units to a direct, recurrent reinforcement learning agent. This…

Trading and Market Microstructure · Quantitative Finance 2022-05-24 Gabriel Borrageiro , Nick Firoozye , Paolo Barucca

We show that time-dependent fluctuations $\{\Delta x\}$ in foreign exchange rates are accurately described by a random walk in a complex plane that is demarcated into the gain (+) and loss (-) sectors. $\{\Delta x\}$ is the outcome of $N$…

Computational Physics · Physics 2008-12-10 Johnrob Bantang , May Lim , Patricia Arielle Castro , Christopher Monterola , Caesar Saloma

The cross-correlations between the exchange rate fluctuations of 74 currencies over the period 1995-2012 are analyzed in this paper. The eigenvalue distribution of the cross-correlation matrix exhibits a bulk which approximately matches the…

Statistical Finance · Quantitative Finance 2013-05-02 Sitabhra Sinha , Uday Kovur
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