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Executing even moderately large derivatives orders can be expensive and risky; it's hard to balance the uncertainty of working an order over time versus paying a liquidity premium for immediate execution. Here, we introduce the Time Is…

数理金融 · 定量金融 2021-04-14 Kevin Patrick Darby

Using a large-scale Deep Learning approach applied to a high-frequency database containing billions of electronic market quotes and transactions for US equities, we uncover nonparametric evidence for the existence of a universal and…

统计金融 · 定量金融 2018-03-20 Justin Sirignano , Rama Cont

Positive feedback trading, which buys when prices rise and sells when prices fall, has long been criticized for being destabilizing as it moves prices away from the fundamentals. Motivated by the relationship between positive feedback…

数理金融 · 定量金融 2021-11-25 Aihua Li

A new approach to obtaining market--directional information, based on a non-stationary solution to the dynamic equation "future price tends to the value that maximizes the number of shares traded per unit time" [1] is presented. In our…

交易与市场微观结构 · 定量金融 2019-05-03 Vladislav Gennadievich Malyshkin

This paper builds a model of high-frequency equity returns by separately modeling the dynamics of trade-time returns and trade arrivals. Our main contributions are threefold. First, we characterize the distributional behavior of…

交易与市场微观结构 · 定量金融 2014-09-02 Eric M. Aldrich , Indra Heckenbach , Gregory Laughlin

We introduce a class of randomly time-changed fast mean-reverting stochastic volatility models and, using spectral theory and singular perturbation techniques, we derive an approximation for the prices of European options in this setting.…

证券定价 · 定量金融 2012-05-15 Matthew Lorig

We extend the QLBS model by reformulating via considering a large trader whose transactions leave a permanent impact on the evolution of the exchange rate process and therefore affect the price of contingent claims on such processes.…

数理金融 · 定量金融 2023-11-14 Ahmet Umur Özsoy , Ömür Uğur

An agent-based model for financial markets has to incorporate two aspects: decision making and price formation. We introduce a simple decision model and consider its implications in two different pricing schemes. First, we study its…

交易与市场微观结构 · 定量金融 2015-06-19 Daniel C. Wagner , Thilo A. Schmitt , Rudi Schäfer , Thomas Guhr , Dietrich E. Wolf

Biondi et al. (2012) develop an analytical model to examine the emergent dynamic properties of share market price formation over time, capable to capture important stylized facts. These latter properties prove to be sensitive to regulatory…

综合金融 · 定量金融 2021-09-27 Yuri Biondi , Simone Righi

We present a simple dynamical model for describing trading interactions between agents in a social network by considering only two dynamical variables, namely money and goods or services, that are assumed conserved over the whole time span…

物理与社会 · 物理学 2017-02-01 Rafael A. Barrio , Tzipe Govezensky , Élfego Ruiz-Gutiérrez , Kimmo K. Kaski

Large variations in stock prices happen with sufficient frequency to raise doubts about existing models, which all fail to account for non-Gaussian statistics. We construct simple models of a stock market, and argue that the large…

凝聚态物理 · 物理学 2015-06-25 P. Bak , M. Paczuski , M. Shubik

This paper deals with the problem of discrete-time option pricing by the mixed fractional version of Merton model with transaction costs. By a mean-self-financing delta hedging argument in a discrete-time setting, a European call option…

证券定价 · 定量金融 2017-02-02 Foad Shokrollahi

We introduce a prototype model in an attempt to capture some aspects of market dynamics simulating a trading mechanism. The model description starts with a discrete-space, continuous-time Markov process describing arrival and movement of…

交易与市场微观结构 · 定量金融 2013-04-04 N. Vvedenskaya , Y. Suhov , V. Belitsky

A time-varying cointegration model for foreign exchange rates is presented. Unlike previous studies, we allow the loading matrix in the vector error correction (VEC) model to be varying over time. Because the loading matrix in the VEC model…

统计金融 · 定量金融 2016-10-17 Mikio Ito , Akihiko Noda , Tatsuma Wada

We propose an approach to explain fluctuations in time intervals of financial markets data from the view point of the Gini index. We show the explicit form of the Gini index for a Weibull distribution which is a good candidate to describe…

数据分析、统计与概率 · 物理学 2009-11-13 Naoya Sazuka , Jun-ichi Inoue

How to compute (super) hedging costs in rather general fi- nancial market models with transaction costs in discrete-time ? Despite the huge literature on this topic, most of results are characterizations of the super-hedging prices while it…

概率论 · 数学 2024-05-13 Emmanuel Lepinette , Duc Thinh Vu

A point process for event arrivals in high frequency trading is presented. The intensity is the product of a Hawkes process and high dimensional functions of covariates derived from the order book. Conditions for stationarity of the process…

交易与市场微观结构 · 定量金融 2026-05-12 Luca Mucciante , Alessio Sancetta

This article is a sequel to [A.H.M.P]. In [A.H.M.P], we develop an explicit formula for pricing European options when the underlying stock price follows a non-linear stochastic delay equation with fixed delays in the drift and diffusion…

概率论 · 数学 2008-12-02 Mercedes Arriojas , Yaozhong Hu , Salah-Eldin Mohammed , Gyula Pap

High Frequency Trading (HFT) represents an ever growing proportion of all financial transactions as most markets have now switched to electronic order book systems. The main goal of the paper is to propose continuous time equations which…

交易与市场微观结构 · 定量金融 2013-12-10 Rene Carmona , Kevin Webster

Time or money? That is a question! In this paper, we consider this dilemma in the pricing regime, in which we try to find the optimal pricing scheme for identical items with heterogenous time-sensitive buyers. We characterize the…

计算机科学与博弈论 · 计算机科学 2024-02-23 Zhengyang Liu , Liang Shan , Zihe Wang