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Refining a discrete model of Cheuk and Vorst we obtain a closed formula for the price of a European lookback option at any time between emission and maturity. We derive an asymptotic expansion of the price as the number of periods tends to…

Mathematical Finance · Quantitative Finance 2015-02-11 Karl Grosse-Erdmann , Fabien Heuwelyckx

The dynamics of market prices is described as the evolution of opinions in the trading community regarding future market behavior. The price then is a function of the voting process of the market players in favor to raise or reduce the…

Statistical Finance · Quantitative Finance 2015-03-31 Elad Oster , Alexander Feigel

Energy storage shifts energy from off-peak periods to on-peak periods. Unlike conventional generation, storage is duration-limited: the stored energy capacity constrains the duration over which it can supply power. To understand how these…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Daniel Shen , Marija Ilic , John Parsons

In this paper we investigate a dynamic pricing model for constant demand elasticity where customers have a probability distribution on the number of items they order. This is a generalization from standard models which restrict customers to…

Optimization and Control · Mathematics 2018-03-01 Nyles Breecher , Richard Stockbridge

Traders in a market typically have widely different, private information on the return of an asset. The equilibrium price of the asset may reflect this information more accurately if the number of traders is large enough compared to the…

Statistical Mechanics · Physics 2019-08-17 Johannes Berg , Matteo Marsili , Aldo Rustichini , Riccardo Zecchina

Steady-state models which have been learned from historical operational data may be unfit for model-based optimization unless correlations in the training data which are introduced by control are accounted for. Using recent results from…

Systems and Control · Electrical Eng. & Systems 2022-11-11 Kristian Løvland , Bjarne Grimstad , Lars Struen Imsland

Using a metric related to the returns correlation, a method is proposed to reconstruct an economic space from the market data. A reduced subspace, associated to the systematic structure of the market, is identified and its dimension related…

Statistical Mechanics · Physics 2016-08-16 R. Vilela Mendes , Tanya Araújo , Francisco Louçã

Employing probabilistic techniques we compute best possible upper and lower bounds on the price of an option on one or two assets with continuous piecewise linear payoff function based on prices of simple call options of possibly distinct…

Probability · Mathematics 2008-12-02 Dimitris Bertsimas , Natasha Bushueva

This paper aims at designing the different important components of a semi-closed simulated stock market (pricing mechanism, stock allocation and news generation). The purpose is to understand the interactions of the different aspects within…

Trading and Market Microstructure · Quantitative Finance 2012-07-12 Dr. Gurjeet Dhesi , Mohammad Abdul Washad Emambocus , Muhammad Bilal Shakeel

Decision markets are mechanisms for selecting one among a set of actions based on forecasts about their consequences. Decision markets that are based on scoring rules have been proven to offer incentive compatibility analogous to properly…

Computer Science and Game Theory · Computer Science 2021-11-16 Wenlong Wang , Thomas Pfeiffer

The importance of considering the volumes to analyze stock prices movements can be considered as a well-accepted practice in the financial area. However, when we look at the scientific production in this field, we still cannot find a…

Statistical Finance · Quantitative Finance 2021-08-31 Tiago Colliri , Fernando F. Ferreira

In the Learning to Price setting, a seller posts prices over time with the goal of maximizing revenue while learning the buyer's valuation. This problem is very well understood when values are stationary (fixed or iid). Here we study the…

Computer Science and Game Theory · Computer Science 2021-06-10 Renato Paes Leme , Balasubramanian Sivan , Yifeng Teng , Pratik Worah

In this paper, we have studied the pricing of a continuously collateralized CDS. We have made use of the "survival measure" to derive the pricing formula in a straightforward way. As a result, we have found that there exists irremovable…

Pricing of Securities · Quantitative Finance 2011-04-12 Masaaki Fujii , Akihiko Takahashi

Methods for detecting structural changes, or change points, in time series data are widely used in many fields of science and engineering. This chapter sketches some basic methods for the analysis of structural changes in time series data.…

Statistical Finance · Quantitative Finance 2018-08-28 Christian Kleiber

In this article, we consider the optimal execution problem associated to accelerated share repurchase contracts. When firms want to repurchase their own shares, they often enter such a contract with a bank. The bank buys the shares for the…

Trading and Market Microstructure · Quantitative Finance 2014-09-25 Olivier Guéant , Jiang Pu , Guillaume Royer

Previous studies of the stock price response to trades focused on the dynamics of single stocks, i.e. they addressed the self-response. We empirically investigate the price response of one stock to the trades of other stocks in a correlated…

Statistical Finance · Quantitative Finance 2016-04-26 Shanshan Wang , Rudi Schäfer , Thomas Guhr

We present a simple approach to forecasting conditional probability distributions of asset returns. We work with a parsimonious specification of ordered binary choice regression that imposes a connection on sign predictability across…

Statistical Finance · Quantitative Finance 2019-01-08 Stanislav Anatolyev , Jozef Barunik

In this paper we present a theoretical framework for determining dynamic ask and bid prices of derivatives using the theory of dynamic coherent acceptability indices in discrete time. We prove a version of the First Fundamental Theorem of…

Risk Management · Quantitative Finance 2013-06-13 Tomasz R. Bielecki , Igor Cialenco , Ismail Iyigunler , Rodrigo Rodriguez

To overcome the #P-hardness of computing/updating prices in logarithm market scoring rule-based (LMSR-based) combinatorial prediction markets, Chen et al. [5] recently used a simple Bayesian network to represent the prices of securities in…

Computer Science and Game Theory · Computer Science 2012-02-20 David M. Pennock , Lirong Xia

This paper considers the problem of optimal liquidation of a position in a risky security in a financial market, where price evolution are risky and trades have an impact on price as well as uncertainty in the filling orders. The problem is…

Mathematical Finance · Quantitative Finance 2019-07-16 Xue Cheng , Marina Di Giacinto , Tai-Ho Wang