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It is essential to incorporate the impact of investor behavior when modeling the dynamics of asset returns. In this paper, we reconcile behavioral finance and rational finance by incorporating investor behavior within the framework of…

Mathematical Finance · Quantitative Finance 2020-04-23 Abootaleb Shirvani , Yuan Hu , Svetlozar T. Rachev , Frank J. Fabozzi

We derive behavioral finance option pricing formulas consistent with the rational dynamic asset pricing theory. In the existing behavioral finance option pricing formulas, the price process of the representative agent is not a…

Pricing of Securities · Quantitative Finance 2017-10-10 Svetlozar Rachev , Stoyan Stoyanov , Frank J. Fabozzi

When pricing options, there may be different views on the instantaneous mean return of the underlying price process. According to Black (1972), where there exist heterogeneous views on the instantaneous mean return, this will result in…

Computational Finance · Quantitative Finance 2020-05-13 Jiexin Dai , Abootaleb Shirvani , Frank J. Fabozzi

A speculative agent with Prospect Theory preference chooses the optimal time to purchase and then to sell an indivisible risky asset to maximize the expected utility of the round-trip profit net of transaction costs. The optimization…

Mathematical Finance · Quantitative Finance 2022-10-26 Alex S. L. Tse , Harry Zheng

We introduce a general decision tree framework to value an option to invest/divest in a project, focusing on the model risk inherent in the assumptions made by standard real option valuation methods. We examine how real option values depend…

General Finance · Quantitative Finance 2018-09-06 Carol Alexander , Xi Chen

Cumulative Prospect Theory (CPT) is a modeling tool widely used in behavioral economics and cognitive psychology that captures subjective decision making of individuals under risk or uncertainty. In this paper, we propose a dynamic pricing…

Computers and Society · Computer Science 2019-12-02 Yue Guan , Anuradha M. Annaswamy , H. Eric Tseng

An asset pricing model using long-run capital share growth risk has recently been found to successfully explain U.S. stock returns. Our paper adopts a recursive preference utility framework to derive an heterogeneous asset pricing model…

Econometrics · Economics 2020-06-26 Joseph P. Byrne , Boulis M. Ibrahim , Xiaoyu Zong

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

Prospect theory is widely viewed as the best available descriptive model of how people evaluate risk in experimental settings. According to prospect theory, people are risk-averse with respect to gains and risk-seeking with respect to…

Trading and Market Microstructure · Quantitative Finance 2015-06-18 Yang-Yu Liu , Jose C. Nacher , Tomoshiro Ochiai , Mauro Martino , Yaniv Altshuler

We study the range of prices at which a rational agent should contemplate transacting a financial contract outside a given securities market. Trading is subject to nonproportional transaction costs and portfolio constraints and full…

Mathematical Finance · Quantitative Finance 2022-04-08 Maria Arduca , Cosimo Munari

Cumulative prospect theory (CPT) is known to model human decisions well, with substantial empirical evidence supporting this claim. CPT works by distorting probabilities and is more general than the classic expected utility and coherent…

Machine Learning · Computer Science 2016-03-01 Prashanth L. A. , Cheng Jie , Michael Fu , Steve Marcus , Csaba Szepesvári

Changes in input distribution can induce shifts in the average predictions of machine learning models. Such prediction shifts may impact downstream business outcomes (e.g. a bank's loan approval rate), so understanding their causes can be…

Machine Learning · Computer Science 2026-04-14 Tom Bewley , Salim I. Amoukou , Emanuele Albini , Saumitra Mishra , Manuela Veloso

We propose a method for extending a given asset pricing formula to account for two additional sources of risk: the risk associated with future changes in market--calibrated parameters and the remaining risk associated with idiosyncratic…

Disordered Systems and Neural Networks · Physics 2008-12-02 T. R. Hurd

In this paper, we address one of the main puzzles in finance observed in the stock market by proponents of behavioral finance: the stock predictability puzzle. We offer a statistical model within the context of rational finance which can be…

Mathematical Finance · Quantitative Finance 2019-11-07 Abootaleb Shirvani , Svetlozar T. Rachev , Frank J. Fabozzi

The objective of this paper is to introduce the theory of option pricing for markets with informed traders within the framework of dynamic asset pricing theory. We introduce new models for option pricing for informed traders in complete…

Mathematical Finance · Quantitative Finance 2020-08-13 Yuan Hu , Abootaleb Shirvani , Stoyan Stoyanov , Young Shin Kim , Frank J. Fabozzi , Svetlozar T. Rachev

Several examples of Cyber-physical human systems (CPHS) include real-time decisions from humans as a necessary building block for the successful performance of the overall system. Many of these decision-making problems necessitate an…

General Economics · Economics 2022-10-17 Anuradha M. Annaswamy , Vineet Jagadeesan Nair

The widespread adoption of distributed energy resources, and the advent of smart grid technologies, have allowed traditionally passive power system users to become actively involved in energy trading. Recognizing the fact that the…

Artificial Intelligence · Computer Science 2022-08-29 Ashutosh Timilsina , Simone Silvestri

We present a dynamical model for the price evolution of financial assets. The model is based in a two level structure. In the first stage one finds an agent-based model that describes the present state of the investors' beliefs,…

Trading and Market Microstructure · Quantitative Finance 2009-07-30 Miquel Montero

We propose a projected gradient dynamical system as a model for a bargaining scheme for an asset for which the two interested agents have personal valuations which do not initially coincide. The personal valuations are formed using…

Trading and Market Microstructure · Quantitative Finance 2011-09-15 D. Pinheiro , A. A. Pinto , S. Z. Xanthopoulos , A. N. Yannacopoulos

We study contextual dynamic pricing under a semiparametric demand model in which the purchase probability is $1-F(p-m(\mathbf{x}))$, where $m(\mathbf{x})$ captures mean utility as a function of product features and buyer covariates, and $F$…

Methodology · Statistics 2026-05-07 Jinhang Chai , Yaqi Duan , Jianqing Fan , Kaizheng Wang
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