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In this paper we introduce a class of information-based models for the pricing of fixed-income securities. We consider a set of continuous- time information processes that describe the flow of information about market factors in a monetary…

Pricing of Securities · Quantitative Finance 2010-04-27 Lane P. Hughston , Andrea Macrina

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…

Mathematical Finance · Quantitative Finance 2015-09-04 Matthew Lorig

This paper considers the optimal portfolio selection problem in a dynamic multi-period stochastic framework with regime switching. The risk preferences are of exponential (CARA) type with an absolute coefficient of risk aversion which…

Optimization and Control · Mathematics 2011-02-25 Traian A Pirvu , Huayue Zhang

An explicit formula is derived for the value of weak information in a discrete time model that works for a wide range of utility functions including the logarithmic and power utility. We assume a complete market with a finite number of…

Mathematical Finance · Quantitative Finance 2019-05-29 Ayelet Amiran , Fabrice Baudoin , Skylyn Brock , Berend Coster , Ryan Craver , Ugonna Ezeaka , Phanuel Mariano , Mary Wishart

We study an agent-based stock market model with heterogeneous agents and friction. Our model is based on that of Foellmer-Schweizer(1993): The process of a stock price in a discrete-time framework is determined by temporary equilibria via…

Probability · Mathematics 2013-01-29 Takashi Kato

We develop from basic economic principles a continuous-time model for a large investor who trades with a finite number of market makers at their utility indifference prices. In this model, the market makers compete with their quotes for the…

Trading and Market Microstructure · Quantitative Finance 2015-09-10 Peter Bank , Dmitry Kramkov

The comparative statics of the optimal portfolios across individuals is carried out for a continuous-time complete market model, where the risky assets price process follows a joint geometric Brownian motion with time-dependent and…

Portfolio Management · Quantitative Finance 2012-01-04 Jianming Xia

The price-bubble and crash process formation is theoretically investigated in a two-asset equilibrium model. Sufficient and necessary conditions are derived for the existence of average equilibrium price dynamics of different agent-based…

Trading and Market Microstructure · Quantitative Finance 2024-09-06 Francesco Cordoni

We explore a decomposition in which returns on a large class of portfolios relative to the market depend on a smooth non-negative drift and changes in the asset price distribution. This decomposition is obtained using general continuous…

Portfolio Management · Quantitative Finance 2018-10-31 Ricardo T. Fernholz , Caleb Stroup

Data assets are data commodities that have been processed, produced, priced, and traded based on actual demand. Reasonable pricing mechanism for data assets is essential for developing the data market and realizing their value. Most…

Mathematical Finance · Quantitative Finance 2025-05-23 Xiaoshan Chen , Chen Yang , Zhou Yang

An agent-based modelling methodology for the joint price evolution of two stocks is put forward. The method models future multidimensional price trajectories reflecting how a class of agents rebalance their portfolios in an operational way…

Mathematical Finance · Quantitative Finance 2025-03-25 Dario Crisci , Sebastian E. Ferrando , Konrad Gajewski

The Capital Asset Pricing Model (CAPM) relates a well-diversified stock portfolio to a benchmark portfolio. We insert size effect in CAPM, capturing the observation that small stocks have higher risk and return than large stocks, on…

Mathematical Finance · Quantitative Finance 2026-05-04 Abraham Atsiwo , Andrey Sarantsev

We propose a set of conservative models in which agents exchange wealth with a preference in the choice of interacting agents in different ways. The common feature in all the models is that the temporary values of financial status of agents…

Physics and Society · Physics 2015-06-22 Sanchari Goswami , Parongama Sen

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…

Trading and Market Microstructure · Quantitative Finance 2013-01-31 Dorje C. Brody , Mark H. A. Davis , Robyn L. Friedman , Lane P. Hughston

A financial market model where agents trade using realistic combinations of buy-and-hold strategies is considered. Minimal assumptions are made on the discounted asset-price process - in particular, the semimartingale property is not…

Pricing of Securities · Quantitative Finance 2009-11-02 Constantinos Kardaras , Eckhard Platen

Market-based mechanisms such as auctions are being studied as an appropriate means for resource allocation in distributed and mulitagent decision problems. When agents value resources in combination rather than in isolation, they must often…

Artificial Intelligence · Computer Science 2013-01-30 Craig Boutilier , Moises Goldszmidt , Bikash Sabata

An agent-based model for firms' dynamics is developed. The model consists of firm agents with identical characteristic parameters and a bank agent. Dynamics of those agents is described by their balance sheets. Each firm tries to maximize…

General Finance · Quantitative Finance 2009-01-14 Hiroshi Iyetomi , Hideaki Aoyama , Yoshi Fujiwara , Yuichi Ikeda , Wataru Souma

We introduce a fairly general, recombining trinomial tree model in the natural world. Market-completeness is ensured by considering a market consisting of two risky assets, a riskless asset, and a European option. The two risky assets…

Mathematical Finance · Quantitative Finance 2024-10-10 Jagdish Gnawali , W. Brent Lindquist , Svetlozar T. Rachev

We consider two risk-averse financial agents who negotiate the price of an illiquid indivisible contingent claim in an incomplete semimartingale market environment. Under the assumption that the agents are exponential utility maximizers…

Pricing of Securities · Quantitative Finance 2008-12-02 Michail Anthropelos , Gordan Zitkovic

Existing approaches to asset-pricing under model-uncertainty adapt classical utility-maximization frameworks and seek theoretical comprehensiveness. We move toward practice by considering binary model-risks and by emphasizing 'constraints'…

Mathematical Finance · Quantitative Finance 2025-10-10 Ken Kangda Wren