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In this paper, we propose a minimal model beyond geometric Brownian motion that aims to describe price actions with market inefficiency. From simple financial theory considerations, we arrive at a simple two-variable hidden Markovian time…

Trading and Market Microstructure · Quantitative Finance 2015-11-09 Kuang-Ting Chen

This paper introduces a new representation for the actions of a market maker in an order-driven market. This representation uses scaled beta distributions, and generalises three approaches taken in the artificial intelligence for market…

Trading and Market Microstructure · Quantitative Finance 2022-09-28 Joseph Jerome , Gregory Palmer , Rahul Savani

Prescriptive process monitoring is a family of techniques to optimize the performance of a business process by triggering interventions at runtime. Existing prescriptive process monitoring techniques assume that the number of interventions…

Machine Learning · Computer Science 2021-10-12 Mahmoud Shoush , Marlon Dumas

We consider a repeated newsvendor problem where the inventory manager has no prior information about the demand, and can access only censored/sales data. In analogy to multi-armed bandit problems, the manager needs to simultaneously…

Machine Learning · Computer Science 2017-10-17 Gábor Lugosi , Mihalis G. Markakis , Gergely Neu

This paper focuses on the pricing of the variance swap in an incomplete market where the stochastic interest rate and the price of the stock are respectively driven by Cox-Ingersoll-Ross model and Heston model with simultaneous L\'{e}vy…

Pricing of Securities · Quantitative Finance 2018-03-15 Ben-zhang Yang , Jia Yue , Nan-jing Huang

We consider a finite-horizon market-making problem faced by a dark pool that executes incoming buy and sell orders. The arrival flow of such orders is assumed to be random and, for each transaction, the dark pool earns a per-share…

Mathematical Finance · Quantitative Finance 2015-02-11 M. Alessandra Crisafi , Andrea Macrina

Quantitative understanding of stochastic dynamics in limit order price changes is essential for execution strategy design. We analyze intraday transition dynamics of ask and bid orders across market capitalization tiers using high-frequency…

Statistical Finance · Quantitative Finance 2026-01-09 Salam Rabindrajit Luwang , Kundan Mukhia , Buddha Nath Sharma , Md. Nurujjaman , Anish Rai , Filippo Petroni

We introduce a modular framework for market making. It combines cost-function based automated market makers with bandit algorithms. We obtain worst-case profits guarantee's relative to the best in hindsight within a class of natural…

Trading and Market Microstructure · Quantitative Finance 2013-08-05 Nicolas Della Penna , Mark D. Reid

In many sequential decision-making problems one is interested in minimizing an expected cumulative cost while taking into account \emph{risk}, i.e., increased awareness of events of small probability and high consequences. Accordingly, the…

Artificial Intelligence · Computer Science 2017-04-07 Yinlam Chow , Mohammad Ghavamzadeh , Lucas Janson , Marco Pavone

This paper studies a multi-armed bandit problem where the decision-maker is loss averse, in particular she is risk averse in the domain of gains and risk loving in the domain of losses. The focus is on large horizons. Consequences of loss…

Probability · Mathematics 2022-05-19 Zengjing Chen , Larry G. Epstein , Guodong Zhang

The aim of this work is to introduce a new stochastic volatility model for equity derivatives. To overcome some of the well-known problems of the Heston model, and more generally of the affine models, we define a new specification for the…

Pricing of Securities · Quantitative Finance 2014-09-19 José Da Fonseca , Claude Martini

This paper presents a continuous-time model of intraday trading, pricing, and liquidity with dynamic TWAP and VWAP benchmarks. The model is solved in closed-form for the competitive equilibrium and also for non-price-taking equilibria. The…

Mathematical Finance · Quantitative Finance 2020-03-31 Jin Hyuk Choi , Kasper Larsen , Duane J. Seppi

We consider a nonatomic selfish routing model with independent stochastic travel times, represented by mean and variance latency functions for each edge that depend on their flows. In an effort to decouple the effect of risk-averse player…

Computer Science and Game Theory · Computer Science 2021-02-19 Thanasis Lianeas , Evdokia Nikolova , Nicolas E. Stier-Moses

We solve the problem of super-hedging European or Asian options for discrete-time financial market models where executable prices are uncertain. The risky asset prices are not described by single-valued processes but measurable selections…

Pricing of Securities · Quantitative Finance 2023-11-16 Meriam El Mansour , Emmanuel Lepinette

Price movements in financial markets are well known to be very noisy. As a result, even if there are, on occasion, exploitable patterns that could be picked up by machine-learning algorithms, these are obscured by feature and label noise…

Machine Learning · Computer Science 2023-10-19 Omkar Nabar , Gautam Shroff

This papers addresses the stock option pricing problem in a continuous time market model where there are two stochastic tradable assets, and one of them is selected as a num\'eraire. It is shown that the presence of arbitrarily small…

Pricing of Securities · Quantitative Finance 2014-10-01 Nikolai Dokuchaev

A micro-scale model is proposed for the evolution of the limit order book. Within this model, the flows of orders (claims) are described by doubly stochastic Poisson processes taking account of the stochastic character of intensities of bid…

Probability · Mathematics 2014-12-09 V. Yu. Korolev , A. V. Chertok , A. Yu. Korchagin , A. I. Zeifman

Sequential decisions in volatile, high-stakes settings require more than maximizing expected return; they require principled uncertainty management. This paper presents the Uncertainty-Aware Markov Decision Process (UAMDP), a unified…

Machine Learning · Computer Science 2025-12-19 Michal Koren , Or Peretz , Tai Dinh , Philip S. Yu

We study the multiplicative hazards model with intermittently observed longitudinal covariates and time-varying coefficients. For such models, the existing ad hoc approach, such as the last value carried forward, is biased. We propose a…

Methodology · Statistics 2025-03-13 Zhuowei Sun , Hongyuan Cao

We focus on two particular aspects of model risk: the inability of a chosen model to fit observed market prices at a given point in time (calibration error) and the model risk due to recalibration of model parameters (in contradiction to…

Risk Management · Quantitative Finance 2018-10-23 Yu Feng , Ralph Rudd , Christopher Baker , Qaphela Mashalaba , Melusi Mavuso , Erik Schlögl