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In this paper we study short-time behavior of the at-the-money implied volatility for Inverse European options with fixed strike price. The asset price is assumed to follow a general stochastic volatility process. Using techniques of the…

Mathematical Finance · Quantitative Finance 2025-04-15 Elisa Alòs , Eulalia Nualart , Makar Pravosud

In this paper, we address one of the main puzzles in finance observed in the stock market by proponents of behavioral finance: the stock predictability puzzle. We offer a statistical model within the context of rational finance which can be…

Mathematical Finance · Quantitative Finance 2019-11-07 Abootaleb Shirvani , Svetlozar T. Rachev , Frank J. Fabozzi

We construct a statistical indicator for the detection of short-term asset price bubbles based on the information content of bid and ask market quotes for plain vanilla put and call options. Our construction makes use of the martingale…

Pricing of Securities · Quantitative Finance 2018-07-17 Petteri Piiroinen , Lassi Roininen , Tobias Schoden , Martin Simon

When we interpret linear regression as estimating causal effects justified by quasi-experimental treatment variation, what do we mean? This paper formalizes a minimal criterion for quasi-experimental interpretation and characterizes its…

Econometrics · Economics 2026-01-21 Jiafeng Chen

Robust learning in expressive languages with real-world data continues to be a challenging task. Numerous conventional methods appeal to heuristics without any assurances of robustness. While probably approximately correct (PAC) Semantics…

Artificial Intelligence · Computer Science 2021-09-08 Alexander P. Rader , Ionela G. Mocanu , Vaishak Belle , Brendan Juba

From the statistical learning perspective, complexity control via explicit regularization is a necessity for improving the generalization of over-parameterized models. However, the impressive generalization performance of neural networks…

Machine Learning · Computer Science 2021-02-09 Taejong Joo , Uijung Chung

This paper proposes a general interpretable predictive system with shared information. The system is able to perform predictions in a multi-task setting where distinct tasks are not bound to have the same input/output structure. Embeddings…

Machine Learning · Computer Science 2024-07-02 Maciej Żelaszczyk , Jacek Mańdziuk

A deep equilibrium model uses implicit layers, which are implicitly defined through an equilibrium point of an infinite sequence of computation. It avoids any explicit computation of the infinite sequence by finding an equilibrium point…

Machine Learning · Computer Science 2021-02-19 Kenji Kawaguchi

We consider an asset whose risk-neutral dynamics are described by a general class of local-stochastic volatility models and derive a family of asymptotic expansions for European-style option prices and implied volatilities. Our implied…

Computational Finance · Quantitative Finance 2014-12-01 Matthew Lorig , Stefano Pagliarani , Andrea Pascucci

The estimation of the Risk Neutral Density (RND) implicit in option prices is challenging, especially in illiquid markets. We introduce the Deep Log-Sum-Exp Neural Network, an architecture that leverages Deep and Transfer learning to…

Mathematical Finance · Quantitative Finance 2026-02-11 Andrea Conti , Giacomo Morelli

We study the reconstruction of implied volatility surfaces from sparse and noisy option quotes using deep learning models under no-arbitrage constraints. We compare multiple neural architectures, including multilayer perceptrons,…

Computational Finance · Quantitative Finance 2026-05-26 Pablo Rodriguez Manzi

Deep reinforcement learning (RL) has shown remarkable success in complex domains, however, the inherent black box nature of deep neural network policies raises significant challenges in understanding and trusting the decision-making…

Machine Learning · Computer Science 2025-01-20 Peilang Li , Umer Siddique , Yongcan Cao

We investigate the use of the normalized imbalance between option volumes corresponding to positive and negative market views, as a predictor for directional price movements in the spot market. Via a nonlinear analysis, and using a…

Statistical Finance · Quantitative Finance 2022-01-25 Nikolas Michael , Mihai Cucuringu , Sam Howison

We investigate the joint dynamics of spot and implied volatility from an empirical perspective. We focus on the equity market with the SPX Index our underlying of choice. Using only observable quantities, we extract the instantaneous…

Statistical Finance · Quantitative Finance 2015-07-06 Florent Ségonne

In this paper, we propose a novel approach for implicit data representation to evaluate similarity of input data using a trained neural network. In contrast to the previous approach, which uses gradients for representation, we utilize only…

Machine Learning · Computer Science 2020-10-12 Alan Savushkin , Nikita Benkovich , Dmitry Golubev

This paper revisits the fractional cointegrating relationship between ex-ante implied volatility and ex-post realized volatility. We argue that the concept of corridor implied volatility (CIV) should be used instead of the popular…

Statistical Finance · Quantitative Finance 2013-02-15 Jozef Barunik , Michaela Barunikova

Deep neural networks tend to underestimate uncertainty and produce overly confident predictions. Recently proposed solutions, such as MC Dropout and SDENet, require complex training and/or auxiliary out-of-distribution data. We propose a…

Machine Learning · Computer Science 2021-10-14 Akib Mashrur , Wei Luo , Nayyar A. Zaidi , Antonio Robles-Kelly

We introduce a notion of usable information contained in the representation learned by a deep network, and use it to study how optimal representations for the task emerge during training. We show that the implicit regularization coming from…

Machine Learning · Computer Science 2021-03-02 Michael Kleinman , Alessandro Achille , Daksh Idnani , Jonathan C. Kao

The growth of the exhange-traded fund (ETF) industry has given rise to the trading of options written on ETFs and their leveraged counterparts {(LETFs)}. We study the relationship between the ETF and LETF implied volatility surfaces when…

Computational Finance · Quantitative Finance 2015-04-16 Tim Leung , Matthew Lorig , Andrea Pascucci

Motivated by the advantages achieved by implicit analogue net for solving online linear equations, a novel implicit neural model is designed based on conventional explicit gradient neural networks in this letter by introducing a…

Neural and Evolutionary Computing · Computer Science 2017-03-20 Ke Chen
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