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Agent-based models help explain stock price dynamics as emergent phenomena driven by interacting investors. In this modeling tradition, investor behavior has typically been captured by two distinct mechanisms -- learning and heterogeneous…

Computers and Society · Computer Science 2025-11-12 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

According to the volatility feedback effect, an unexpected increase in squared volatility leads to an immediate decline in the price-dividend ratio. In this paper, we consider the properties of stock price dynamics and option valuations…

Pricing of Securities · Quantitative Finance 2015-06-11 Juho Kanniainen , Robert Piché

We introduce a simple model for equity index derivatives. The model generalizes well known L\`evy Normal Tempered Stable processes (e.g. NIG and VG) with time dependent parameters. It accurately fits Equity index implied volatility surfaces…

Mathematical Finance · Quantitative Finance 2022-01-04 Michele Azzone , Roberto Baviera

This paper studies four trading algorithms of a professional trader at a multilateral trading facility, observing a realistic two-sided limit order book whose dynamics are driven by the order book events. The identity of the trader can be…

Trading and Market Microstructure · Quantitative Finance 2015-01-13 Qinghua Li

We present a reduced basis method for the simulation of American option pricing. To tackle this model numerically, we formulate the problem in terms of a time dependent variational inequality. Characteristic ingredients are a POD-greedy and…

Optimization and Control · Mathematics 2012-01-17 Bernard Haasdonk , Julien Salomon , Barbara Wohlmuth

Pricing of high-dimensional options is one of the most important problems in Mathematical Finance. The objective of this manuscript is to present an original self-contained treatment of the multidimensional pricing. During the past decades…

Mathematical Finance · Quantitative Finance 2015-10-27 Alexander Kushpel

The implied volatility smile surface is the basis of option pricing, and the dynamic evolution of the option volatility smile surface is difficult to predict. In this paper, attention mechanism is introduced into LSTM, and a volatility…

Computational Finance · Quantitative Finance 2019-12-25 Shengli Chen , Zili Zhang

We consider a class of assets whose risk-neutral pricing dynamics are described by an exponential L\'evy-type process subject to default. The class of processes we consider features locally-dependent drift, diffusion and default-intensity…

Computational Finance · Quantitative Finance 2013-04-19 Antoine Jacquier , Matthew Lorig

In this work, we aim to gain a better understanding of the volatility smile observed in options markets through microsimulation (MS). We adopt two types of active traders in our MS model: speculators and arbitrageurs, and call and put…

Pricing of Securities · Quantitative Finance 2008-12-10 G. Qiu , D. Kandhai , P. M. A. Sloot

Most models for barrier pricing are designed to let a market maker tune the model-implied covariance between moves in the asset spot price and moves in the implied volatility skew. This is often implemented with a local…

Pricing of Securities · Quantitative Finance 2014-04-16 Mark Higgins

We model the logarithm of the price (log-price) of a financial asset as a random variable obtained by projecting an operator stable random vector with a scaling index matrix $\underline{\underline{E}}$ onto a non-random vector. The scaling…

Probability · Mathematics 2015-06-26 Przemysław Repetowicz , Peter Richmond

This research presents a novel approach to predicting option movements by analyzing residual transactions, which are trades that deviate from standard hedging activities. Unlike traditional methods that primarily focus on open interest and…

Computational Finance · Quantitative Finance 2024-10-23 Carl von Havighorst , Vincil Bishop

In this work we are concerned with valuing optionalities associated to invest or to delay investment in a project when the available information provided to the manager comes from simulated data of cash flows under historical (or…

Computational Finance · Quantitative Finance 2015-09-14 Edgardo Brigatti , Felipe Macias , Max O. Souza , Jorge P. Zubelli

By specifying model free preferences towards simple nested classes of lottery pairs, we develop the dual story to stand on equal footing with that of (primal) risk apportionment. The dual story provides an intuitive interpretation, and full…

Risk Management · Quantitative Finance 2017-12-07 Louis R. Eeckhoudt , Roger J. A. Laeven , Harris Schlesinger

We introduce a general decision tree framework to value an option to invest/divest in a project, focusing on the model risk inherent in the assumptions made by standard real option valuation methods. We examine how real option values depend…

General Finance · Quantitative Finance 2018-09-06 Carol Alexander , Xi Chen

The Chicago Board Options Exchange Volatility Index (VIX) is calculated from SPX options and derivatives of VIX are also traded in market, which leads to the so-called ``consistent modeling" problem. This paper proposes a time-changed…

Mathematical Finance · Quantitative Finance 2025-11-24 Liexin Cheng , Xue Cheng , Xianhua Peng

Recent years have seen an increased level of interest in pricing equity options under a stochastic volatility model such as the Heston model. Often, simulating a Heston model is difficult, as a standard finite difference scheme may lead to…

Computational Finance · Quantitative Finance 2011-11-28 Ian Iscoe , Asif Lakhany

Pairs trading, a strategy that capitalizes on price movements of asset pairs driven by similar factors, has gained significant popularity among traders. Common practice involves selecting highly cointegrated pairs to form a portfolio, which…

Applications · Statistics 2024-03-14 Khizar Qureshi , Tauhid Zaman

Modeling investor behavior is crucial to identifying behavioral coaching opportunities for financial advisors. With the help of natural language processing (NLP) we analyze an unstructured (textual) dataset of financial advisors' summary…

Statistical Finance · Quantitative Finance 2021-07-13 Cynthia Pagliaro , Dhagash Mehta , Han-Tai Shiao , Shaofei Wang , Luwei Xiong

In recent studies the truncated Levy process (TLP) has been shown to be very promising for the modeling of financial dynamics. In contrast to the Levy process, the TLP has finite moments and can account for both the previously observed…

Statistical Mechanics · Physics 2008-12-10 Andrew Matacz
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