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In this paper we seek to demonstrate the predictability of stock market returns and explain the nature of this return predictability. To this end, we introduce investors with different investment horizons into the news-driven, analytic,…

General Finance · Quantitative Finance 2016-03-30 Dimitri Kroujiline , Maxim Gusev , Dmitry Ushanov , Sergey V. Sharov , Boris Govorkov

In this paper we show how to approximate a Heath-Jarrow-Morton dynamics for the forward prices in commodity markets with arbitrage-free models which have a finite dimensional state space. Moreover, we recover a closed form representation of…

Mathematical Finance · Quantitative Finance 2015-12-21 Fred Espen Benth , Paul Krühner

We construct a matrix model equivalent (exactly, not asymptotically), to the random plane partition model, with almost arbitrary boundary conditions. Equivalently, it is also a random matrix model for a TASEP-like process with arbitrary…

Mathematical Physics · Physics 2009-11-13 Bertrand Eynard

In this paper, the optimal mean-reverting portfolio (MRP) design problem is considered, which plays an important role for the statistical arbitrage (a.k.a. pairs trading) strategy in financial markets. The target of the optimal MRP design…

Portfolio Management · Quantitative Finance 2018-03-09 Ziping Zhao , Rui Zhou , Zhongju Wang , Daniel P. Palomar

The paper studies the concepts of hedging and arbitrage in a non probabilistic framework. It provides conditions for non probabilistic arbitrage based on the topological structure of the trajectory space and makes connections with the usual…

General Finance · Quantitative Finance 2011-03-08 Alexander Alvarez , Sebastian Ferrando , Pablo Olivares

Geometric arbitrage theory reformulates a generic asset model possibly allowing for arbitrage by packaging all asset and their forward dynamics into a stochastic principal fibre bundle, with a connection whose parallel transport encodes…

Risk Management · Quantitative Finance 2021-01-05 Simone Farinelli , Hideyuki Takada

We generalize the Arbitrage Pricing Theory (APT) to include the contribution of virtual arbitrage opportunities. We model the arbitrage return by a stochastic process. The latter is incorporated in the APT framework to calculate the…

Statistical Mechanics · Physics 2008-12-10 Kirill Ilinski

Prediction markets are long known for prediction accuracy. This study systematically explores the fundamental properties of prediction markets, addressing questions about their information aggregation process and the factors contributing to…

Trading and Market Microstructure · Quantitative Finance 2023-11-10 Dian Yu , Jianjun Gao , Weiping Wu , Zizhuo Wang

An overview of current debates and contemporary research devoted to the modeling of decision making processes and their facilitation directs attention to the Analytic Hierarchy Process (AHP). At the core of the AHP are various…

Artificial Intelligence · Computer Science 2020-06-05 Paul Thaddeus Kazibudzki

The theory of functionally generated portfolios (FGPs) is an aspect of the continuous-time, continuous-path Stochastic Portfolio Theory of Robert Fernholz. FGPs have been formulated to yield a master equation - a description of their return…

Portfolio Management · Quantitative Finance 2013-10-29 Winslow Strong

Collateralization with daily margining has become a new standard in the post-crisis market. Although there appeared vast literature on a so-called multi-curve framework, a complete picture of a multi-currency setup with cross-currency basis…

Pricing of Securities · Quantitative Finance 2015-09-08 Masaaki Fujii , Akihiko Takahashi

This paper discusses predictive inference and feature selection for generalized linear models with scarce but high-dimensional data. We argue that in many cases one can benefit from a decision theoretically justified two-stage approach:…

Machine Learning · Statistics 2020-11-09 Juho Piironen , Markus Paasiniemi , Aki Vehtari

During the last decade Levy processes with jumps have received increasing popularity for modelling market behaviour for both derviative pricing and risk management purposes. Chan et al. (2009) introduced the use of empirical likelihood…

Methodology · Statistics 2012-01-16 Steven Kou , Tony Sit , Zhiliang Ying

The Artificial Prediction Market is a recent machine learning technique for multi-class classification, inspired from the financial markets. It involves a number of trained market participants that bet on the possible outcomes and are…

Machine Learning · Statistics 2014-08-18 Nathan Lay , Adrian Barbu

We propose a unified approach to several problems in Stochastic Portfolio Theory (SPT), which is a framework for equity markets with a large number $d$ of stocks. Our approach combines open markets, where trading is confined to the top $N$…

Mathematical Finance · Quantitative Finance 2024-03-08 David Itkin , Martin Larsson

New theoretical approaches about forecasting stock markets are proposed. A mathematization of the stock market in terms of arithmetical relations is given, where some simple (non-differential, non-fractal) expressions are also suggested as…

Physics and Society · Physics 2008-12-10 Caglar Tuncay

We present a synthetic prediction market whose agent purchase logic is defined using a sigmoid transformation of a convex semi-algebraic set defined in feature space. Asset prices are determined by a logarithmic scoring market rule. Time…

Computational Engineering, Finance, and Science · Computer Science 2021-01-07 Nishanth Nakshatri , Arjun Menon , C. Lee Giles , Sarah Rajtmajer , Christopher Griffin

This paper intends to apply the Hidden Markov Model into stock market and and make predictions. Moreover, four different methods of improvement, which are GMM-HMM, XGB-HMM, GMM-HMM+LSTM and XGB-HMM+LSTM, will be discussed later with the…

Pricing of Securities · Quantitative Finance 2021-04-21 Mingwen Liu , Junbang Huo , Yulin Wu , Jinge Wu

We provide closed-form market equilibrium formula consolidating informational imperfections and investors beliefs. Based on Merton's model, we characterize the equilibrium expected excess returns vector with incomplete information. We then…

Pricing of Securities · Quantitative Finance 2025-02-14 Hafid Lalioui , Amine Ben Amar , Makram Bellalah

Procurement refers to a process resulting in delivery of goods or services within a set time period. The process includes aspects of purchasing, specifications to be met, and solicitation notifications as in the case of Request For…

Software Engineering · Computer Science 2018-12-06 Sabah Al-Fedaghi , Mona Al-Otaibi