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We study a financial model with a non-trivial price impact effect. In this model we consider the interaction of a large investor trading in an illiquid security, and a market maker who is quoting prices for this security. We assume that the…

证券定价 · 定量金融 2009-10-20 David German

We design three continuous--time models in finite horizon of a commodity price, whose dynamics can be affected by the actions of a representative risk--neutral producer and a representative risk--neutral trader. Depending on the model, the…

数理金融 · 定量金融 2020-03-04 René Aïd , Giorgia Callegaro , Luciano Campi

We propose a model where a producer and a consumer can affect the price dynamics of some commodity controlling drift and volatility of, respectively, the production rate and the consumption rate. We assume that the producer has a short…

最优化与控制 · 数学 2021-11-09 René Aïd , Ofelia Bonesini , Giorgia Callegaro , Luciano Campi

There are several approaches to modeling and forecasting time series as applied to prices of commodities and financial assets. One of the approaches is to model the price as a non-stationary time series process with heteroscedastic…

统计金融 · 定量金融 2024-07-01 Andrei Renatovich Batyrov

We show that a large effective number of commodities can be a source of equilibrium stability and uniqueness: expanding substitution opportunities strengthens aggregate substitution effects. We study finite dated-commodity exchange…

理论经济学 · 经济学 2026-05-05 Xinyang Wang

We propose a new structural model that can compute the electricity spot and forward prices in two coupled markets with limited interconnection and multiple fuels. We choose a structural approach in order to represent some key…

数理金融 · 定量金融 2017-04-21 Clemence Alasseur , Olivier Feron

We consider portfolio optimization in futures markets. We model the entire futures price curve at once as a solution of a stochastic partial differential equation. The agents objective is to maximize her utility from the final wealth when…

投资组合管理 · 定量金融 2012-04-13 Fred Espen Benth , Jukka Lempa

This thesis develops equilibrium asset pricing models in incomplete markets with a large number of heterogeneous agents using mean field game theory. The market equilibrium is characterized by a novel form of mean field backward stochastic…

数理金融 · 定量金融 2026-03-24 Masashi Sekine

For a commodity spot price dynamics given by an Ornstein-Uhlenbeck process with Barndorff-Nielsen and Shephard stochastic volatility, we price forwards using a class of pricing measures that simultaneously allow for change of level and…

证券定价 · 定量金融 2014-03-21 Fred Espen Benth , Salvador Ortiz-Latorre

We formulate an equilibrium model of intraday trading in electricity markets. Agents face balancing constraints between their customers consumption plus intraday sales and their production plus intraday purchases. They have continuously…

计算金融 · 定量金融 2020-10-20 René Aid , Andrea Cosso , Huyên Pham

In both finance and economics, quantitative models are usually studied as isolated mathematical objects --- most often defined by very strong simplifying assumptions concerning rationality, efficiency and the existence of disequilibrium…

综合金融 · 定量金融 2010-10-04 Harbir Lamba

We propose a simple statistical-physics-inspired model for the effect of intrinsic fluctuations on supply and demand in markets. The model consists of agents that trade in two types of goods of which the total number is separately…

物理与社会 · 物理学 2021-01-13 J. R. Mulder , René van Roij , R. A. Duine

The Walras approach to equilibrium focuses on the existence of market prices at which the total demands for goods are matched by the total supplies. Trading activities that might identify such prices by bringing agents together as potential…

最优化与控制 · 数学 2023-05-30 J. Deride , A. Jofré , R. T. Rockafellar

We study a risk-sharing economy where an arbitrary number of heterogenous agents trades an arbitrary number of risky assets subject to quadratic transaction costs. For linear state dynamics, the forward-backward stochastic differential…

综合金融 · 定量金融 2020-11-30 Johannes Muhle-Karbe , Xiaofei Shi , Chen Yang

The participation of renewable, energy storage, and resources with limited fuel inventory in electricity markets has created the need for optimal scheduling and pricing across multiple market intervals for resources with intertemporal…

最优化与控制 · 数学 2019-10-08 Jinye Zhao , Tongxin Zheng , Eugene Litvinov

Wholesale electricity markets in many jurisdictions use a two-settlement structure: a day-ahead market for bulk power transactions and a real-time market for fine-grain supply-demand balancing. This paper explores trading demand response…

系统与控制 · 电气工程与系统科学 2024-09-23 Deepan Muthirayan , Dileep Kalathil , Sen Li , Kameshwar Poolla , Pravin Varaiya

In this paper, we propose an equilibrium pricing model in a dynamic multi-period stochastic framework with uncertain income streams. In an incomplete market, there exist two traded risky assets (e.g. stock/commodity and weather derivative)…

最优化与控制 · 数学 2012-05-29 Traian A. Pirvu , Huayue Zhang

We present a mathematical model of a market with $m$ shares traded across $n$ investor groups, each one with similar motivations and trading strategies. The market of each asset consists of a fixed amount of cash and shares (no additions…

动力系统 · 数学 2026-04-17 Mario Cavani

We study the forward price dynamics in commodity markets realized as a process with values in a Hilbert space of absolutely continuous functions defined by Filipovi\'c. The forward dynamics are defined as the mild solution of a certain…

证券定价 · 定量金融 2014-03-18 Fred Espen Benth , Paul Krühner

This paper proposes a theory of stock market predictability patterns based on a model of heterogeneous beliefs. In a discrete finite time framework, some agents receive news about an asset's fundamental value through a noisy signal. The…

证券定价 · 定量金融 2024-06-13 Jiho Park