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This paper introduces a jump-diffusion pricing model specifically designed for algorithmic trading and high-frequency trading (HFT). The model incorporates independent jump and diffusion processes, providing a more precise representation of…

数理金融 · 定量金融 2025-09-05 Luca Lalor , Anatoliy Swishchuk

Mounting empirical evidence suggests that the observed extreme prices within a trading period can provide valuable information about the volatility of the process within that period. In this paper we define a class of stochastic volatility…

统计金融 · 定量金融 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst

We consider a stochastic factor financial model where the asset price process and the process for the stochastic factor depend on an observable Markov chain and exhibit an affine structure. We are faced with a finite time investment horizon…

投资组合管理 · 定量金融 2014-03-21 Marcos Escobar , Daniela Neykova , Rudi Zagst

We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the price…

证券定价 · 定量金融 2011-11-14 Damir Filipović , Lane P. Hughston , Andrea Macrina

Prediction markets show considerable promise for developing flexible mechanisms for machine learning. Here, machine learning markets for multivariate systems are defined, and a utility-based framework is established for their analysis. This…

人工智能 · 计算机科学 2015-03-19 Amos Storkey

The Hawkes model is a past-dependent point process, widely used in various fields for modeling temporal clustering of events. Extending this framework, the multidimensional marked Hawkes process incorporates multiple interacting event types…

统计方法学 · 统计学 2025-05-20 Anna Bonnet , Charlotte Dion-Blanc , Maya Sadeler-Perrin

Hawkes Processes are a type of point process which models self-excitement among time events. It has been used in a myriad of applications, ranging from finance and earthquakes to crime rates and social network activity analysis.Recently, a…

机器学习 · 计算机科学 2021-01-05 Rafael Lima

Although both data availability and the demand for accurate forecasts are increasing, collaboration between stakeholders is often constrained by data ownership and competitive interests. In contrast to recent proposals within cooperative…

机器学习 · 计算机科学 2026-05-14 Michael Vitali , Pierre Pinson

The Hawkes process and its extensions effectively model self-excitatory phenomena including earthquakes, viral pandemics, financial transactions, neural spike trains and the spread of memes through social networks. The usefulness of these…

应用统计 · 统计学 2020-05-21 Andrew J. Holbrook , Charles E. Loeffler , Seth R. Flaxman , Marc A. Suchard

We study finite horizon optimal switching problems for hidden Markov chain models under partially observable Poisson processes. The controller possesses a finite range of strategies and attempts to track the state of the unobserved state…

最优化与控制 · 数学 2008-05-22 Erhan Bayraktar , Mike Ludkovski

This paper develops a model for the bid and ask prices of a European type asset by formulating a stochastic control problem. The state process is governed by a modified geometric Brownian motion whose drift and diffusion coefficients depend…

数理金融 · 定量金融 2021-12-07 Engel John C. Dela Vega , Robert J. Elliott

This paper tackles challenges in pricing and revenue projections due to consumer uncertainty. We propose a novel data-based approach for firms facing unknown consumer type distributions. Unlike existing methods, we assume firms only observe…

理论经济学 · 经济学 2024-05-28 Duarte Gonçalves , Bruno A. Furtado

This paper addresses the challenge of model uncertainty in quantitative finance, where decisions in portfolio allocation, derivative pricing, and risk management rely on estimating stochastic models from limited data. In practice, the…

计算金融 · 定量金融 2025-06-10 Hans Buehler , Blanka Horvath , Yannick Limmer , Thorsten Schmidt

Univariate marked Hawkes processes are used to model a range of real-world phenomena including earthquake aftershock sequences, contagious disease spread, content diffusion on social media platforms, and order book dynamics. This paper…

统计方法学 · 统计学 2026-04-13 Louis Davis , Conor Kresin , Boris Baeumer , Ting Wang

To trade tokens in cryptoeconomic systems, automated market makers (AMMs) typically rely on liquidity providers (LPs) that deposit tokens in exchange for rewards. To profit from such rewards, LPs must use effective liquidity provisioning…

交易与市场微观结构 · 定量金融 2025-01-15 Thanos Drossos , Daniel Kirste , Niclas Kannengießer , Ali Sunyaev

With the rapid growth in the fashion e-commerce industry, it is becoming extremely challenging for the E-tailers to set an optimal price point for all the products on the platform. By establishing an optimal price point, they can maximize…

机器学习 · 计算机科学 2020-08-25 Sajan Kedia , Samyak Jain , Abhishek Sharma

Hawkes process provides an effective statistical framework for analyzing the time-dependent interaction of neuronal spiking activities. Although utilized in many real applications, the classic Hawkes process is incapable of modelling…

机器学习 · 统计学 2021-02-23 Feng Zhou , Yixuan Zhang , Jun Zhu

Price determination is a central research topic of revenue management in marketing. The important aspect in pricing is controlling the stochastic behavior of demand, and the previous studies have tackled price optimization problems with…

最优化与控制 · 数学 2024-01-04 Yuya Hikima , Akiko Takeda

This study focuses on the application of the Heston model to option pricing, employing both theoretical derivations and empirical validations. The Heston model, known for its ability to incorporate stochastic volatility, is derived and…

计算金融 · 定量金融 2024-10-22 Zheng Cao , Xinhao Lin

We consider derivatives written on multiple underlyings in a one-period financial market, and we are interested in the computation of model-free upper and lower bounds for their arbitrage-free prices. We work in a completely realistic…

最优化与控制 · 数学 2022-01-13 Ariel Neufeld , Antonis Papapantoleon , Qikun Xiang