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In some options markets (e.g. commodities), options are listed with only a single maturity for each underlying. In others, (e.g. equities, currencies), options are listed with multiple maturities. In this paper, we provide an algorithm for…

Pricing of Securities · Quantitative Finance 2014-02-03 Peter Carr , Sergey Nadtochiy

A stock loan is a loan, secured by a stock, which gives the borrower the right to redeem the stock at any time before or on the loan maturity. The way of dividends distribution has a significant effect on the pricing of the stock loan and…

Pricing of Securities · Quantitative Finance 2022-01-07 Min Dai , Zuo Quan Xu

The inequality is computed through the so-called Gini index. The population is assumed to have the variable of interest distributed according to the Gamma probability distribution. The results show that the Gini index is reduced when the…

Physics and Society · Physics 2007-05-23 Diego Saa

In this paper we propose a new stochastic model based on a generalization of semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that the financial returns are described by a weighted indexed…

Statistical Finance · Quantitative Finance 2015-06-05 Guglielmo D'Amico , Filippo Petroni

Valuation and parity formulas for both European-style and American-style exchange options are presented in a general financial model allowing for jumps, possibility of default and "bubbles" in asset prices. The formulas are given via…

Pricing of Securities · Quantitative Finance 2014-12-02 Constantinos Kardaras

We describe a new framework for causal inference and its application to return time series. In this system, causal relationships are represented as logical formulas, allowing us to test arbitrarily complex hypotheses in a computationally…

Statistical Finance · Quantitative Finance 2010-06-14 Samantha Kleinberg , Petter N. Kolm , Bud Mishra

This paper proposed a method for stock prediction. In terms of feature extraction, we extract the features of stock-related news besides stock prices. We first select some seed words based on experience which are the symbols of good news…

Statistical Finance · Quantitative Finance 2017-07-25 Zeya Zhang , Weizheng Chen , Hongfei Yan

Studying the micro-trading behaviors before stock price jumps is an important problem for financial regulations and investment decisions. In this study, we provide a new framework to study pre-jump trading behaviors based on multivariate…

Statistical Finance · Quantitative Finance 2021-03-01 Ao Kong , Robert Azencott , Hongliang Zhu , Xindan Li

The aim of this research is to give a simple framework to evaluate/quantize the "transparency" of a firm. We assume that the process of the firm value is only observable once in a while but is strongly correlated with the stock price which…

Risk Management · Quantitative Finance 2009-10-27 Jirô Akahori , Yuuki Kanishi , Yuichi Morimura

Predicting stock prices presents a challenging research problem due to the inherent volatility and non-linear nature of the stock market. In recent years, knowledge-enhanced stock price prediction methods have shown groundbreaking results…

Statistical Finance · Quantitative Finance 2023-08-10 Liping Wang , Jiawei Li , Lifan Zhao , Zhizhuo Kou , Xiaohan Wang , Xinyi Zhu , Hao Wang , Yanyan Shen , Lei Chen

American options are the reference instruments for the model calibration of a large and important class of single stocks. For this task, a fast and accurate pricing algorithm is indispensable. The literature mainly discusses pricing methods…

Computational Finance · Quantitative Finance 2016-11-21 Olena Burkovska , Maximilian Gaß , Kathrin Glau , Mirco Mahlstedt , Wim Schoutens , Barbara Wohlmuth

We consider a mean-reverting stochastic volatility model which satisfies some relevant stylized facts of financial markets. We introduce an algorithm for the detection of peaks in the volatility profile, that we apply to the time series of…

Statistical Finance · Quantitative Finance 2016-12-05 Mario Bonino , Matteo Camelia , Paolo Pigato

This paper tends to define the quantitative relationship between the stock price and time as a time function. Based on the empirical evidence that the log-return of a stock is the series of white noise, a mathematical model of the integral…

Statistical Finance · Quantitative Finance 2023-02-22 Shengfeng Mei , Hong Gao

This document describes an algorithm to scale a complex vector by the reciprocal of a complex value. The algorithm computes the reciprocal of the complex value and then scales the vector by the reciprocal. Some scaling may be necessary due…

Numerical Analysis · Mathematics 2023-11-13 Weslley da Silva Pereira

With the widespread engineering applications ranging from artificial intelligence and big data decision-making, originally a lot of tedious financial data processing, processing and analysis have become more and more convenient and…

Computational Finance · Quantitative Finance 2019-02-26 Quanxi Wang

In this paper we discuss a general methodology to compute the market risk measure over long time horizons and at extreme percentiles, which are the typical conditions needed for estimating Economic Capital. The proposed approach extends the…

Risk Management · Quantitative Finance 2014-08-12 Luca Spadafora , Marco Dubrovich , Marcello Terraneo

We introduce an ensemble learning method based on Gaussian Process Regression (GPR) for predicting conditional expected stock returns given stock-level and macro-economic information. Our ensemble learning approach significantly reduces the…

Risk Management · Quantitative Finance 2026-03-10 Damir Filipović , Puneet Pasricha

The present paper proposes a new framework for describing the stock price dynamics. In the traditional geometric Brownian motion model and its variants, volatility plays a vital role. The modern studies of asset pricing expand around…

Mathematical Finance · Quantitative Finance 2022-10-12 Ben Duan , Yutian Li , Dawei Lu , Yang Lu , Ran Zhang

A first step in exploring population structure in crop plants and other organisms is to define the number of subpopulations that exist for a given data set. The genetic marker data sets being generated have become increasingly large over…

Applications · Statistics 2014-01-09 Mark A. Newell , Dianne Cook , Heike Hofmann , Jean-Luc Jannink

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

Statistical Mechanics · Physics 2008-12-02 Robert Kitt , Jaan Kalda