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This paper studies the links between the descriptions of macroeconomic variables and statistical moments of market trade, price, and return. The randomness of market trade values and volumes during the averaging interval {\Delta} results in…

综合经济学 · 经济学 2024-04-22 Victor Olkhov

This paper assumes that the randomness of market trade values and volumes determines the properties of stochastic market prices. We derive the direct dependence of the first two price statistical moments and price volatility on statistical…

综合经济学 · 经济学 2024-02-27 Victor Olkhov

The relationship between price volatilty and a market extremum is examined using a fundamental economics model of supply and demand. By examining randomness through a microeconomic setting, we obtain the implications of randomness in the…

数理金融 · 定量金融 2018-07-31 Carey Caginalp , Gunduz Caginalp

This paper defines theoretical lower bounds of uncertainty of observations of macroeconomic variables that depend on statistical moments and correlations of random values and volumes of market trades. Any econometric assessments of…

综合经济学 · 经济学 2024-10-08 Victor Olkhov

The economic and financial variables of economic agents determine macroeconomic variables. Current models consider agents' variables that are determined by the sums of values and volumes of agents' trades during some time interval {\Delta}.…

理论经济学 · 经济学 2024-03-26 Victor Olkhov

We consider economic obstacles that limit the reliability and accuracy of value-at-risk (VaR). Investors who manage large market transactions should take into account the impact of the randomness of large trade volumes on predictions of…

综合经济学 · 经济学 2024-04-30 Victor Olkhov

We analyze the relative price change of assets starting from basic supply/demand considerations subject to arbitrary motivations. The resulting stochastic differential equation has coefficients that are functions of supply and demand. We…

理论经济学 · 经济学 2020-08-26 Carey Caginalp , Gunduz Caginalp

The random values and volumes of consecutive trades made at the exchange with shares of security determine its mean, variance, and higher statistical moments. The volume weighted average price (VWAP) is the simplest example of such a…

综合经济学 · 经济学 2026-01-21 Victor Olkhov

This paper describes the dependence of market-based statistical moments of returns on statistical moments and correlations of the current and past trade values. We use Markowitz's definition of value weighted return of a portfolio as the…

综合经济学 · 经济学 2026-02-17 Victor Olkhov

A statistical generalization is made of microeconomics in the spirit of going from classical to statistical mechanics. The price and quantity of every commodity1 traded in the market, at each instant of time, is considered to be an…

综合金融 · 定量金融 2012-12-03 Belal E. Baaquie

Proceeding from the concept of rational expectations, a new dynamic model of supply and demand in a single market with one supplier, one buyer, and one kind of commodity is developed. Unlike the cob-web dynamic theories with adaptive…

综合物理 · 物理学 2007-05-23 V. Granik , A. Granik

This paper describes asset price and return disturbances as result of relations between transactions and multiple kinds of expectations. We show that disturbances of expectations can cause fluctuations of trade volume, price and return. We…

综合经济学 · 经济学 2020-09-09 Victor Olkhov

Mounting empirical evidence suggests that the observed extreme prices within a trading period can provide valuable information about the volatility of the process within that period. In this paper we define a class of stochastic volatility…

统计金融 · 定量金融 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst

Markets have internal dynamics leading to excess volatility and other phenomena that are difficult to explain using rational expectations models. This paper studies these using a nonequilibrium price formation rule, developed in the context…

adap-org · 物理学 2015-06-30 J. Doyne Farmer

We review the evidence that the erratic dynamics of markets is to a large extent of endogenous origin, i.e. determined by the trading activity itself and not due to the rational processing of exogenous news. In order to understand why and…

统计金融 · 定量金融 2010-09-16 Jean-Philippe Bouchaud

Global oil price is an important factor in determining many economic variables in the world's economy. It is generally modeled as a stochastic process and have been studied through different techniques by comparing the historic time series…

综合金融 · 定量金融 2018-05-31 Sina Aghaei

We discuss the economic reasons why the predictions of price and return statistical moments in the coming decades, in the best case, will be limited by their averages and volatilities. That limits the accuracy of the forecasts of price and…

综合金融 · 定量金融 2024-04-09 Victor Olkhov

This paper expands on stochastic volatility models by proposing a data-driven method to select the macroeconomic events most likely to impact volatility. The paper identifies and quantifies the effects of macroeconomic events across…

统计金融 · 定量金融 2024-11-26 Igor Martins , Hedibert Freitas Lopes

We introduce the price probability measure {\eta}(p;t) that defines the mean price p(1;t), mean square price p(2;t), price volatility {\sigma}p2(t)and all price n-th statistical moments p(n;t) as ratio of sums of n-th degree values C(n;t)…

综合金融 · 定量金融 2021-04-23 Victor Olkhov

We study the relationship between price spread, volatility and trading volume. We find that spread forms as a result of interplay between order liquidity and order impact. When trading volume is small adding more liquidity helps improve…

交易与市场微观结构 · 定量金融 2016-06-24 Jack Sarkissian
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