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We propose a mathematical procedure for finding informed traders in ultra-high frequency trading. We wrote it as Vector ARMA and found condition of its stationarity. For the price exposure complied with ARMA(1,2) we proved that underlying…

交易与市场微观结构 · 定量金融 2014-02-27 Lyudmila A. Glik , Oleg L. Kritski

An asymmetric information model is introduced for the situation in which there is a small agent who is more susceptible to the flow of information in the market than the general market participant, and who tries to implement strategies…

交易与市场微观结构 · 定量金融 2013-01-31 Dorje C. Brody , Mark H. A. Davis , Robyn L. Friedman , Lane P. Hughston

The modeling of time-varying graph signals as stationary time-vertex stochastic processes permits the inference of missing signal values by efficiently employing the correlation patterns of the process across different graph nodes and time…

机器学习 · 统计学 2023-10-16 Eylem Tugce Guneyi , Berkay Yaldiz , Abdullah Canbolat , Elif Vural

In this paper new analytical and numerical approaches to valuating path-dependent options of European type have been developed. The model of stochastic volatility as a basic model has been chosen. For European options we could improve the…

证券定价 · 定量金融 2010-09-24 Yu. A. Kuperin , P. A. Poloskov

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…

计算金融 · 定量金融 2024-10-23 Carl von Havighorst , Vincil Bishop

We price European options in a class of models in which the volatility of the underlying risky asset depends on the short rate of interest. Our study results in an explicit pricing formula that depends on knowledge of a characteristic…

数理金融 · 定量金融 2026-02-03 Tim Leung , Matthew Lorig

The objective of this paper is to introduce the theory of option pricing for markets with informed traders within the framework of dynamic asset pricing theory. We introduce new models for option pricing for informed traders in complete…

The standard approach for studying the periodic ARMA model with coefficients that vary over the seasons is to express it in a vector form. In this paper we introduce an alternative method which views the periodic formulation as a time…

统计方法学 · 统计学 2014-03-20 Menelaos Karanasos , Alexandros Paraskevopoulos , Stavros Dafnos

Estimating hidden processes from non-linear noisy observations is particularly difficult when the parameters of these processes are not known. This paper adopts a machine learning approach to devise variational Bayesian inference for such…

机器学习 · 计算机科学 2019-11-05 Komlan Atitey , Pavel Loskot , Lyudmila Mihaylova

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

统计金融 · 定量金融 2011-08-22 Laurent Schoeffel

In the information-based approach to asset pricing the market filtration is modelled explicitly as a superposition of signals concerning relevant market factors and independent noise. The rate at which the signal is revealed to the market…

证券定价 · 定量金融 2010-09-21 Dorje C. Brody , Yan Tai Law

In financial markets, accurately measuring the risk of future fluctuations in asset prices is of paramount importance. Studies such as Carr and Madan have shown that the expected value of the quadratic variation of log prices can be…

数理金融 · 定量金融 2026-05-19 Masaaki Fukasawa , Shunta Murayama

We consider a general local-stochastic volatility model and an investor with exponential utility. For a European-style contingent claim, whose payoff may depend on either a traded or non-traded asset, we derive an explicit approximation for…

数理金融 · 定量金融 2015-09-04 Matthew Lorig

Predicting the price that has the least error and can provide the best and highest accuracy has been one of the most challenging issues and one of the most critical concerns among capital market activists and researchers. Therefore, a model…

机器学习 · 计算机科学 2025-05-05 Mohammadhossein Rashidi , Mohammad Modarres

Observing prices of European put and call options, we calibrate exponential L\'evy models nonparametrically. We discuss the efficient implementation of the spectral estimation procedures for L\'evy models of finite jump activity as well as…

证券定价 · 定量金融 2020-06-12 Jakob Söhl , Mathias Trabs

The paper develops general, discrete, non-probabilistic market models and minmax price bounds leading to price intervals for European options. The approach provides the trajectory based analogue of martingale-like properties as well as a…

数理金融 · 定量金融 2015-11-06 Sebastian E. Ferrando , Alfredo L. Gonzalez , Ivan L. Degano , Massoome Rahsepar

This research extends the conventional concepts of the bid--ask spread (BAS) and mid-price to include the total market order book bid--ask spread (TMOBBAS) and the global mid-price (GMP). Using high-frequency trading data, we investigate…

交易与市场微观结构 · 定量金融 2024-10-23 Yifan He , Abootaleb Shirvani , Barret Shao , Svetlozar Rachev , Frank Fabozzi

Proof that under simple assumptions, such as constraints of Put-Call Parity, the probability measure for the valuation of a European option has the mean derived from the forward price which can, but does not have to be the risk-neutral one,…

数理金融 · 定量金融 2016-09-05 Nassim N. Taleb

Every change of trend in the forex market presents a great opportunity as well as a risk for investors. Accurate forecasting of forex prices is a crucial element in any effective hedging or speculation strategy. However, the complex nature…

计算工程、金融与科学 · 计算机科学 2020-08-18 Zhiwen Zeng , Matloob Khushi

This paper develops a model for option market making in which the hedging activity of the market maker generates price impact on the underlying asset. The option order flow is modeled by Cox processes, with intensities depending on the…

交易与市场微观结构 · 定量金融 2026-04-30 Paulin Aubert , Etienne Chevalier , Vathana Ly Vath
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