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Related papers: Arbitrage risk induced by transaction costs

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This paper presents novel bilevel leader-follower portfolio selection problems in which the financial intermediary becomes a decision-maker. This financial intermediary decides on the unit transaction costs for investing in some securities,…

Optimization and Control · Mathematics 2019-12-11 Marina Leal , Diego Ponce , Justo Puerto

Training advanced AI models requires large investments in computational resources, or compute. Yet, as hardware innovation reduces the price of compute and algorithmic advances make its use more efficient, the cost of training an AI model…

Computers and Society · Computer Science 2024-02-15 Konstantin Pilz , Lennart Heim , Nicholas Brown

We formulate quantum computing solutions to a large class of dynamic nonlinear asset pricing models using algorithms, in theory exponentially more efficient than classical ones, which leverage the quantum properties of superposition and…

Pricing of Securities · Quantitative Finance 2025-08-26 Eric Ghysels , Jack Morgan

The pricing and hedging of a general class of options (including American, Bermudan and European options) on multiple assets are studied in the context of currency markets where trading is subject to proportional transaction costs, and…

Pricing of Securities · Quantitative Finance 2014-06-03 Alet Roux , Tomasz Zastawniak

In the ever evolving landscape of decentralized finance automated market makers (AMMs) play a key role: they provide a market place for trading assets in a decentralized manner. For so-called bluechip pairs, arbitrage activity provides a…

Statistical Finance · Quantitative Finance 2025-05-16 Abe Alexander , Lars Fritz

We propose a discrete time algorithm for the valuation of employee stock options based on exponential indifference prices and taking into account both the possibility of partial exercise of a fraction of the options and the use of a…

Statistics Theory · Mathematics 2008-12-10 M. R. Grasselli

Financial derivatives are contracts that can have a complex payoff dependent upon underlying benchmark assets. In this work, we present a quantum algorithm for the Monte Carlo pricing of financial derivatives. We show how the relevant…

Quantum Physics · Physics 2018-08-23 Patrick Rebentrost , Brajesh Gupt , Thomas R. Bromley

We propose a portfolio approach for operational risk quantification based on a class of analytical models from which we derive new results on the correlation problem. In particular, we show that uniform correlation is a robust assumption…

Risk Management · Quantitative Finance 2014-05-08 Vivien Brunel

Stochastic algorithms are among the best for solving computationally hard search and reasoning problems. The runtime of such procedures is characterized by a random variable. Different algorithms give rise to different probability…

Artificial Intelligence · Computer Science 2013-02-08 Carla P. Gomes , Bart Selman

Non-equilibrium phenomena occur not only in physical world, but also in finance. In this work, stochastic relaxational dynamics (together with path integrals) is applied to option pricing theory. A recently proposed model (by Ilinski et…

Statistical Mechanics · Physics 2009-10-31 Matthias Otto

Quantum computing is poised to transform the financial industry, yet its advantages over traditional methods have not been evidenced. As this technology rapidly evolves, benchmarking is essential to fairly evaluate and compare different…

Optimization and Control · Mathematics 2025-02-11 Ying Chen , Thorsten Koch , Hanqiu Peng , Hongrui Zhang

Portfolio optimization is an important process in finance that consists in finding the optimal asset allocation that maximizes expected returns while minimizing risk. When assets are allocated in discrete units, this is a combinatorial…

Statistical Mechanics · Physics 2022-10-04 Álvaro Rubio-García , Juan José García-Ripoll , Diego Porras

Statistical arbitrage is a class of financial trading strategies using mean reversion models. The corresponding techniques rely on a number of assumptions which may not hold for general non-stationary stochastic processes. This paper…

Machine Learning · Computer Science 2018-11-02 Christopher Mohri

We outline a method to estimate the value of computation for a flexible algorithm using empirical data. To determine a reasonable trade-off between cost and value, we build an empirical model of the value obtained through computation, and…

Artificial Intelligence · Computer Science 2013-01-30 Michael C. Horsch , David L. Poole

Equity basket correlation can be estimated both using the physical measure from stock prices, and also using the risk neutral measure from option prices. The difference between the two estimates motivates a so-called "dispersion strategy''.…

Statistical Finance · Quantitative Finance 2020-09-22 Wolfgang Karl Härdle , Elena Silyakova

We consider an investor facing a classical portfolio problem of optimal investment in a log-Brownian stock and a fixed-interest bond, but constrained to choose portfolio and consumption strategies that reduce a dynamic shortfall risk…

Portfolio Management · Quantitative Finance 2017-08-04 Imke Redeker , Ralf Wunderlich

Physical implementations of quantum computation must be scrutinized about their reliability under real conditions, in order to be considered as viable candidates. Among the proposed models, those based on adiabatic quantum dynamics have…

Quantum Physics · Physics 2017-06-26 Julián Vargas-Grajales , Frederico Brito

Reduced installation and operating costs give energy storage systems an opportunity to participate actively and profitably in electricity markets. In addition to providing ancillary services, energy storage systems can also arbitrage…

Optimization and Control · Mathematics 2017-02-17 Yishen Wang , Yury Dvorkin , Ricardo Fernández-Blanco , Bolun Xu , Daniel S. Kirschen

We consider indifference pricing of contingent claims consisting of payment flows in a discrete time model with proportional transaction costs and under exponential disutility. This setting covers utility maximisation as a special case. A…

Mathematical Finance · Quantitative Finance 2021-05-25 Alet Roux , Zhikang Xu

Most insurance contracts are inherently linked to financial markets, be it via interest rates, or -- as hybrid products like equity-linked life insurance and variable annuities -- directly to stocks or indices. However, insurance contracts…

Mathematical Finance · Quantitative Finance 2022-11-28 Philippe Artzner , Karl-Theodor Eisele , Thorsten Schmidt