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By treating the financial market as a thermodynamic system, we establish a one-to-one correspondence between thermodynamic variables and economic quantities. Measured by the expected loss under the worst-case scenario, financial risk caused…

Risk Management · Quantitative Finance 2019-04-02 Yu Feng

In the framework of risk management, for the study of the sensitivity of pricing and hedging in stochastic financial models to changes of parameters and to perturbations of the stock prices, we propose an error calculus which is an…

Probability · Mathematics 2008-12-02 Nicolas Bouleau

We represent preferences that exhibit absolute or relative attitudes towards ambiguity without assuming convexity of preferences. Our analysis is motivated by the recent experimental evidence by Baillon and Placido (2019) indicating that…

Theoretical Economics · Economics 2024-07-02 Francesco Fabbri , Giulio Principi , Lorenzo Stanca

We derive a closed-form expression capturing the degree of Relative Risk Aversion (RRA) of investors for non-"fair" lotteries. We argue that our formula is superior to earlier methods that have been proposed, as it is a function of only…

General Economics · Economics 2022-11-10 George Samartzis , Nikitas Pittis

We develop a structural econometric model to capture the decision dynamics of human evaluators on an online micro-lending platform, and estimate the model parameters using a real-world dataset. We find two types of biases in gender,…

Machine Learning · Computer Science 2022-01-11 Xiyang Hu , Yan Huang , Beibei Li , Tian Lu

A Value-at-Risk based model is proposed to compute the adequate equity capital necessary to cover potential losses due to operational risks, such as human and system process failures, in banking organizations. Exploring the analogy to a…

Statistical Mechanics · Physics 2009-11-07 Reimer Kuehn , Peter Neu

Equilibrium properties in statistical physics are obtained by computing averages with respect to Boltzmann-Gibbs measures, sampled in practice using ergodic dynamics such as the Langevin dynamics. Some quantities however cannot be computed…

Numerical Analysis · Mathematics 2023-01-02 Gabriel Stoltz

Recent years have seen an increased level of interest in pricing equity options under a stochastic volatility model such as the Heston model. Often, simulating a Heston model is difficult, as a standard finite difference scheme may lead to…

Computational Finance · Quantitative Finance 2011-11-28 Ian Iscoe , Asif Lakhany

We deal with the calculation of price sensitivities for stochastic volatility models. General forms for the dynamics of the underlying asset price and its volatility are considered. We make use of the chaotic (or Malliavin) calculus to…

Probability · Mathematics 2018-01-30 Youssef El-Khatib , Abdulnasser Hatemi-J

This paper deals with a Boltzmann-type kinetic model describing the interplay between vehicle dynamics and safety aspects in vehicular traffic. Sticking to the idea that the macroscopic characteristics of traffic flow, including the…

Physics and Society · Physics 2017-01-12 Paolo Freguglia , Andrea Tosin

We briefly review statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the agents…

Statistical Finance · Quantitative Finance 2011-03-14 Victor M. Yakovenko

A risk analyst assesses potential financial losses based on multiple sources of information. Often, the assessment does not only depend on the specification of the loss random variable but also various economic scenarios. Motivated by this…

Risk Management · Quantitative Finance 2023-10-02 Tolulope Fadina , Yang Liu , Ruodu Wang

In this paper long-run risk sensitive optimisation problem is studied with dyadic impulse control applied to continuous-time Feller-Markov process. In contrast to the existing literature, focus is put on unbounded and non-uniformly ergodic…

Optimization and Control · Mathematics 2019-06-18 Marcin Pitera , Łukasz Stettner

We propose a novel approach to infer investors' risk preferences from their portfolio choices, and then use the implied risk preferences to measure the efficiency of investment portfolios. We analyze a dataset spanning a period of six…

Portfolio Management · Quantitative Finance 2020-10-28 Agostino Capponi , Zhaoyu Zhang

In this work we study the individual strategies carried out by agents undergoing transactions in wealth exchange models. We analyze the role of risk propensity in the behavior of the agents and find a critical risk, such that agents with…

Physics and Society · Physics 2021-02-03 Julian Neñer , María Fabiana Laguna

Financial volatility risk and its relation to a business cycle-related intrinsic time is addressed through a multiple round evolutionary quantum game equilibrium leading to turbulence and multifractal signatures in the financial returns and…

Risk Management · Quantitative Finance 2012-01-04 Carlos Pedro Gonçalves

A functional risk curve gives the probability of an undesirable event as a function of the value of a critical parameter of a considered physical system. In several applicative situations, this curve is built using phenomenological…

Statistics Theory · Mathematics 2017-07-26 Bertrand Iooss , Loïc Le Gratiet

One the one hand, rough volatility has been shown to provide a consistent framework to capture the properties of stock price dynamics both under the historical measure and for pricing purposes. On the other hand, market price of volatility…

Mathematical Finance · Quantitative Finance 2025-12-05 Ofelia Bonesini , Antoine Jacquier , Aitor Muguruza

There is growing interest in the role of sentiment in economic decision-making. However, most research on the subject has focused on positive and negative valence. Conviction Narrative Theory (CNT) places Approach and Avoidance sentiment…

Computation and Language · Computer Science 2021-12-07 Jacob Turton , Ali Kabiri , David Tuckett , Robert Elliott Smith , David P. Vinson

Based on criteria of mathematical simplicity and consistency with empirical market data, a model with volatility driven by fractional noise has been constructed which provides a fairly accurate mathematical parametrization of the data.…

Statistical Finance · Quantitative Finance 2010-08-31 R. Vilela Mendes