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We provide a general HJM framework for forward contracts written on abstract market indices with arbitrary fixing and payment adjustments, and featuring collateralization in any currency denominations. In view of this, we first provide a…

Pricing of Securities · Quantitative Finance 2026-03-06 Alessandro Gnoatto , Silvia Lavagnini

Collateralized debt obligation (CDO) has been one of the most commonly used structured financial products and is intensively studied in quantitative finance. By setting the asset pool into different tranches, it effectively works out and…

Risk Management · Quantitative Finance 2021-04-15 Hao Tang , Anurag Pal , Lu-Feng Qiao , Tian-Yu Wang , Jun Gao , Xian-Min Jin

We investigate the problem of simulating classical stochastic processes through quantum dynamics, and present three scenarios where memory or time quantum advantages arise. First, by introducing and analysing a quantum version of the…

Quantum Physics · Physics 2021-04-27 Kamil Korzekwa , Matteo Lostaglio

We investigate the computational issues related to the memory size in the estimation of quadratic covariation, taking into account the specifics of financial ultra-high-frequency data. In multivariate price processes, we consider both…

Computational Finance · Quantitative Finance 2021-12-17 Vladimír Holý , Petra Tomanová

Accurate and efficient pricing of multi-asset basket options poses a significant challenge, especially when dealing with complex real-world data. In this work, we investigate the role of quantum-enhanced uncertainty modeling in financial…

Quantum Physics · Physics 2026-02-12 Muhammad Kashif , Shaf Khalid , Nouhaila Innan , Alberto Marchisio , Muhammad Shafique

The recent financial crisis has led to so-called multi-curve models for the term structure. Here we study a multi-curve extension of short rate models where, in addition to the short rate itself, we introduce short rate spreads. In…

Pricing of Securities · Quantitative Finance 2016-06-06 Zorana Grbac , Laura Meneghello , Wolfgang J. Runggaldier

This article presents a generic framework for modeling the dynamics of forward curves in commodity market as commodity derivatives are typically traded by futures or forwards. We have theoretically demonstrated that commodity prices are…

Pricing of Securities · Quantitative Finance 2026-02-26 David Xiao

Quantum simulation has begun to penetrate the field of quantum chemistry in hopes of efficiently calculating ground state energies and approximating real-time evolution. With modern research highlighting nonadiabatic dynamics, tunably…

Quantum Physics · Physics 2026-05-08 Joshua M. Courtney , P. C. Stancil

We demonstrate a post-quench dynamics simulation of a Heisenberg model on present-day IBM quantum hardware that extends beyond the coherence time of the device. This is achieved using a hybrid quantum-classical algorithm that propagates a…

Quantum Physics · Physics 2022-05-31 Noah F. Berthusen , Thaís V. Trevisan , Thomas Iadecola , Peter P. Orth

We propose a novel approximate factor model tailored for analyzing time-dependent curve data. Our model decomposes such data into two distinct components: a low-dimensional predictable factor component and an unpredictable error term. These…

Econometrics · Economics 2025-02-26 Sven Otto , Nazarii Salish

In this work we propose an approach for implementing time-evolution of a quantum system using product formulas. The quantum algorithms we develop have provably better scaling (in terms of gate complexity and circuit depth) than a naive…

In this work we present an alternative methodology to the standard Quantum Accelerated Monte Carlo (QAMC) applied to derivatives pricing. Our pipeline benefits from the combination of a new encoding protocol, referred to as the direct…

Quantum Physics · Physics 2024-07-18 Alberto Manzano , Gonzalo Ferro , Álvaro Leitao , Carlos Vázquez , Andrés Gómez

The Marketron model, introduced by [Halperin, Itkin, 2025], describes price formation in inelastic markets as the nonlinear diffusion of a quasiparticle (the marketron) in a multidimensional space comprising the log-price $x$, a memory…

Pricing of Securities · Quantitative Finance 2025-08-19 Igor Halperin , Andrey Itkin

Quantum Hamiltonian simulation is one of the most promising applications of quantum computing and forms the basis for many quantum algorithms. Benchmarking them is an important gauge of progress in quantum computing technology. We present a…

This paper is concerned with finite-level quantum memory systems for retaining initial dynamic variables in the presence of external quantum noise. The system variables have an algebraic structure, similar to that of the Pauli matrices, and…

Optimization and Control · Mathematics 2026-04-01 Igor G. Vladimirov , Ian R. Petersen , Guodong Shi

Estimation of high-dimensional covariance matrices in latent factor models is an important topic in many fields and especially in finance. Since the number of financial assets grows while the estimation window length remains of limited…

Statistical Finance · Quantitative Finance 2024-07-08 Lucija Žignić , Stjepan Begušić , Zvonko Kostanjčar

On a periodic basis, publicly traded companies report fundamentals, financial data including revenue, earnings, debt, among others. Quantitative finance research has identified several factors, functions of the reported data that…

Statistical Finance · Quantitative Finance 2020-07-16 Lakshay Chauhan , John Alberg , Zachary C. Lipton

The Heston stochastic volatility model is a standard model for valuing financial derivatives, since it can be calibrated using semi-analytical formulas and captures the most basic structure of the market for financial derivatives with…

Pricing of Securities · Quantitative Finance 2019-01-29 Daniel Guterding , Wolfram Boenkost

We adapt a recent advance in resource-frugal quantum signal processing - the Quantum Eigenvalue Transform with Unitary matrices (QET-U) - to explore non-unitary imaginary time evolution on early fault-tolerant quantum computers using…

Quantum Physics · Physics 2023-04-12 Hans Hon Sang Chan , David Muñoz Ramo , Nathan Fitzpatrick

Quantum computing uses the physical principles of very small systems to develop computing platforms which can solve problems that are intractable on conventional supercomputers. There are challenges not only in building the required…

Quantum Physics · Physics 2024-11-19 Dieter Jaksch , Peyman Givi , Andrew J. Daley , Thomas Rung
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