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12:00, 23 August 2026 WikiSysopIG talk contribs created page Category:FTSE Group (Created page with "Category:FTSE Group")
00:45, 22 August 2026 WikiSysopIG talk contribs created page Macroeconomic shock (Created page with "A '''macroeconomic shock''' is an unexpected event or development that causes a significant change in the economic conditions of an economy or a substantial part of the global economy. Macroeconomic shocks can affect GDP, employment, inflation, interest rates, exchange rates, investment, consumption, trade, and financial conditions. A simplified representation is: <math> \text{Macroeconomic Shock} \rightarrow \text{Change in Economic Conditi...")
00:42, 22 August 2026 WikiSysopIG talk contribs created page Defense Advanced Research Projects Agency (Created page with "The '''Defense Advanced Research Projects Agency''' ('''DARPA''') is an agency of the United States Department of Defense responsible for developing advanced technologies for national security applications. DARPA was established in 1958 as the '''Advanced Research Projects Agency''' (ARPA), partly in response to the launch of Sputnik 1 by the Soviet Union in 1957. The agency was created to pursue high-risk, high-impact research intended to maintain technolog...")
00:41, 22 August 2026 WikiSysopIG talk contribs created page World Economic Forum (Created page with "The '''World Economic Forum''' ('''WEF''') is an international non-governmental organization and nonprofit foundation based in Cologny, Switzerland. It was established in 1971 by German economist Klaus Schwab as the European Management Forum and adopted its present name in 1987. The organization convenes political leaders, business executives, academics, civil-society representatives, and other stakeholders to discuss economic, social, technological, and geopoli...")
00:39, 22 August 2026 WikiSysopIG talk contribs created page Flash Eurozone Composite Purchasing Managers' Index (Created page with "The '''Flash Eurozone Composite Purchasing Managers' Index''' ('''Flash Eurozone Composite PMI''') is an early monthly indicator of private-sector business activity in the Eurozone. It is based on business surveys compiled by S&P Global, covering the manufacturing and services sectors and is published before the corresponding final PMI data. The index is designed to provide an early indication of changes in business activity and ec...")
00:35, 22 August 2026 WikiSysopIG talk contribs created page Circular economy (Created page with "A '''circular economy''' is an economic system intended to minimize waste and resource consumption by maintaining products, materials, and resources in use for as long as possible. Unlike a predominantly linear economic model based on extraction, production, consumption, and disposal, a circular economy seeks to reduce resource extraction, extend product lifetimes, and recover materials for reuse, repair, remanufacturing, recycling, or other productive uses. A simplifi...")
00:33, 22 August 2026 WikiSysopIG talk contribs created page European Central Bank Governing Council (Created page with "The '''Governing Council of the European Central Bank''' (ECB) is the main decision-making body of the European Central Bank (ECB). It is responsible for formulating monetary policy for the euro area and performing other functions assigned to the ECB. ==Composition== The Governing Council consists of: * the six members of the Executive Board of the ECB; and * the governors of the N...")
00:32, 22 August 2026 WikiSysopIG talk contribs created page European Court of Auditors (Created page with "The '''European Court of Auditors''' ('''ECA''') is the European Union's independent external auditor. It examines whether EU funds are collected and spent correctly and whether EU financial management is efficient and effective. The ECA was established in 1975 and became a European Union institution in 1993 under the Maastricht Treaty. Its headquarters are in Luxembourg City, Luxembourg. The ECA's principal role is to contribute to the impro...")
13:52, 21 August 2026 WikiSysopIG talk contribs created page Economic bubble (Created page with "An '''economic bubble''' is a situation in which the market prices of assets rise substantially above levels that can be justified by underlying economic fundamentals, often accompanied by expectations of further price increases. A bubble can occur in financial assets, real estate, commodities, or other markets. A simplified representation is: <math> \text{Rising Asset Prices} \rightarrow \text{Higher Expectations} \rightarrow \text{Increased Demand} \rightarrow \text...")
13:51, 21 August 2026 WikiSysopIG talk contribs created page Financial-leverage bubble theory (Created page with "'''Financial-leverage bubble theory''' refers to theories that emphasize the role of financial leverage and credit expansion in the formation, amplification, and collapse of asset-price bubbles. The theory focuses on the interaction between asset prices, borrowing, collateral values, credit availability, and investor expectations. A simplified mechanism is: <math> \text{Credit Expansion} \rightarrow \text{Increased Leverage}...")
13:39, 21 August 2026 WikiSysopIG talk contribs created page A-share (Created page with "'''A-shares''' are shares of companies incorporated in mainland China that are generally traded on mainland Chinese stock exchanges and denominated in renminbi (RMB). The A-share market is one of the principal components of China's equity market and includes companies from a wide range of industries. A simplified representation is: <math> \text{A-Share} \rightarrow \text{Equity Ownership in a Mainland Chinese Company} </math> ==Marke...") Tag: Visual edit: Switched
13:37, 21 August 2026 WikiSysopIG talk contribs created page A-share bubble theory (Created page with "'''A-share bubble theory''' refers to theories and analytical frameworks concerning the formation, persistence, and potential collapse of speculative bubbles in China's A-share equity market. The term generally concerns the possibility that market prices may deviate substantially from underlying economic or fundamental values as a result of speculation, investor expectations, liquidity conditions, leverage, monetary conditions, and other factors. A simplified repre...")
13:34, 21 August 2026 WikiSysopIG talk contribs created page Category:Natural language processing (Created page with "Category:Natural language processing")
13:34, 21 August 2026 WikiSysopIG talk contribs created page Attention mechanism (Created page with "An '''attention mechanism''' is a component of machine learning models that allows a model to assign different levels of importance to different elements of an input when producing an output or representation. Attention mechanisms are widely used in transformers and have applications in natural language processing, computer vision, speech processing, and...")
13:30, 21 August 2026 WikiSysopIG talk contribs created page Category:Pages with math errors (Created page with "Category:Pages with math errors")
13:29, 21 August 2026 WikiSysopIG talk contribs created page Transformer (machine learning model) (Created page with "A '''transformer''' is a type of deep learning model architecture designed to process sequential or structured data using mechanisms based primarily on attention, particularly self-attention. Transformers were introduced in the 2017 paper "Attention Is All You Need" by Google researchers. The architecture was initially developed for sequence-to-sequence tasks...")
13:19, 21 August 2026 WikiSysopIG talk contribs created page Modern portfolio theory (Created page with "'''Modern portfolio theory''' ('''MPT''') is a framework for constructing and analyzing investment portfolios based on the relationship between risk and expected return. It was developed by Harry Markowitz and formalized in his 1952 paper "Portfolio Selection". MPT emphasizes that investors should evaluate the risk and return of a portfolio as a whole rather than considering the risk and return of individual securities inde...")
13:15, 21 August 2026 WikiSysopIG talk contribs created page Liquidity (Created page with "'''Liquidity''' is the degree to which an asset, security, or financial claim can be converted into cash quickly and with limited loss in value. In a broader financial context, liquidity also refers to the ability of an individual, business, financial institution, or market to meet financial obligations as they become due. A simplified representation is: <math> \text{Liquidity} \rightarrow \text{Ability to Obtain or Provide Cash When Required} </math> Liquidity is...")
13:11, 21 August 2026 WikiSysopIG talk contribs created page Financial market (Created page with "A '''Financial market''' is a market in which financial assets, instruments, and claims are issued, bought, sold, or otherwise traded. Financial markets facilitate the transfer of funds between entities with available capital and entities seeking financing. A simplified representation is: <math> \text{Financial Market} \rightarrow \text{Capital Allocation} + \text{Trading} + \text{Price Discovery} </math> Financial markets form an important component of the Fina...")
11:56, 21 August 2026 WikiSysopIG talk contribs created page Financial system (Created page with "A '''Financial system''' is a network of financial institutions, financial markets, financial instruments, payment systems, and regulatory frameworks that facilitates the creation, transfer, allocation, and management of financial resources. A simplified representation is: <math> \text{Financial System} = \text{Financial Institutions} + \text{Financial Markets} + \text{Financial Instruments} + \text{Payment Systems} +...")
03:56, 21 August 2026 WikiSysopIG talk contribs created page Category:Financial ratios (Created page with "Category:Financial ratios")
03:56, 21 August 2026 WikiSysopIG talk contribs created page Category:Working capital management (Created page with "Category:Working capital management")
03:54, 21 August 2026 WikiSysopIG talk contribs created page Operating cycle (Created page with "The '''Operating cycle''' is the period required for a business to acquire or produce goods or services, sell them, and collect the resulting cash from customers. A simplified representation is: <math> \text{Operating Cycle} = \text{Inventory Conversion Period} + \text{Receivables Collection Period} </math> where: * <math>\text{Inventory Conversion Period}</math> = time required to acquire or produce inventory and convert it into sales; * <math>\text{Receivables...")
03:52, 21 August 2026 WikiSysopIG talk contribs created page Current liability (Created page with "A '''Current liability''' is a financial obligation that an entity is generally expected to settle within its operating cycle or within the applicable short-term reporting period, typically 12 months. Current liabilities are presented on the balance sheet and are an important component of Working capital and liquidity analysis. A simplified representation is: <math> \text{Current Liabilities} = \text{Sho...")
03:51, 21 August 2026 WikiSysopIG talk contribs created page Financial ratio (Created page with "A '''Financial ratio''' is a quantitative measure calculated from financial statement data to evaluate aspects of a company's financial performance, financial position, or operating characteristics. Financial ratios are commonly used in financial analysis to compare companies, assess changes over time, and evaluate financial risks and returns. A simplified representation is: <math> \text{Financial Ratio} = \frac{\text{Financial Measure A}} {\...")
03:50, 21 August 2026 WikiSysopIG talk contribs created page Current ratio (Created page with "The '''Current ratio''' is a liquidity ratio that measures an entity's ability to meet its short-term liabilities using its current assets. The ratio is calculated as: <math> \text{Current Ratio} = \frac{\text{Current Assets}} {\text{Current Liabilities}} </math> where: * <math>\text{Current Assets}</math> = assets expected to be realized, sold, or consumed within the applicable short-term period; * <mat...")
03:50, 21 August 2026 WikiSysopIG talk contribs created page Quick ratio (Created page with "The '''Quick ratio''', also known as the '''acid-test ratio''', is a liquidity ratio that measures an entity's ability to meet its short-term liabilities using assets that can be converted into cash relatively quickly. A simplified formula is: <math> \text{Quick Ratio} = \frac{\text{Cash and Cash Equivalents} + \text{Marketable Securities} + \text{Accounts Receivable}} {\text{Current Liabilities}} </math> An equivalent formulation is: <math> \...")
03:49, 21 August 2026 WikiSysopIG talk contribs created page Liquidity Coverage Ratio (Created page with "The '''Liquidity Coverage Ratio''' ('''LCR''') is a liquidity risk measure designed to assess whether a bank holds sufficient high-quality liquid assets (HQLA) to withstand a specified period of stressed net cash outflows. The ratio is generally expressed as: <math> \text{LCR} = \frac{\text{Stock of High-Quality Liquid Assets}} {\text{Total Net Cash Outflows over the Stress Period}} \times 100 </math> Under the Basel III fram...")
03:49, 21 August 2026 WikiSysopIG talk contribs created page Solvency risk (Created page with "'''Solvency risk''' is the risk that an individual, company, financial institution, or other entity will be unable to meet its long-term financial obligations because the value of its assets is insufficient to cover its liabilities or because its financial position has deteriorated to the point where continued operation or access to financing becomes unsustainable. A simplified representation is: <math> \text{Solvency Risk} \rightarrow \text{Insufficient Assets or...")
03:48, 21 August 2026 WikiSysopIG talk contribs created page Liquidity risk (Created page with "'''Liquidity risk''' is the risk that an individual, company, financial institution, or market participant cannot meet financial obligations when they become due without incurring unacceptable losses. Liquidity risk can arise when an entity does not have sufficient cash or readily available funding, or when an asset cannot be sold or financed quickly enough at or near its prevailing market value. A simplified representation is: <math> \text{Liquidity Risk} \righta...")
03:47, 21 August 2026 WikiSysopIG talk contribs created page Leverage (finance) (Created page with "'''Financial leverage''' is the use of borrowed funds, debt, or other financial mechanisms to increase an investor's or company's exposure to an asset or investment relative to the amount of capital directly contributed. Leverage can magnify both gains and losses. A simplified leverage relationship is: <math> \text{Leverage} = \frac{\text{Total Asset Exposure}} {\text{Investor Equity}} </math> where: * <math>\text{Total Asset Exposure}</math>...")
03:44, 21 August 2026 WikiSysopIG talk contribs created page Zero trust (Created page with "'''Zero trust''' is a cybersecurity security model based on the principle that access to information systems and resources should not be implicitly trusted solely because a user, device, application, or network connection is located within a trusted network boundary. Instead, access is continuously evaluated using factors such as identity, device security, application context, resource sensitivity, and other relevant signals. A simplified principle is: <math> \tex...")
13:08, 20 August 2026 WikiSysopIG talk contribs created page Technological singularity (Created page with "The '''technological singularity''', also known as the '''singularity''', is a hypothetical future point at which technological development becomes so rapid and transformative that the resulting changes become difficult or impossible for humans to predict or control. The concept is particularly associated with the possibility that artificial intelligence (AI) systems could reach or exceed human-level capabilities and subsequently contribute t...")
13:06, 20 August 2026 WikiSysopIG talk contribs created page Margin call (Created page with "A '''Margin call''' is a demand from a broker or other financial intermediary requiring an investor to provide additional funds or eligible collateral when the value of a margin account falls below the required maintenance margin. Margin calls can arise when the market value of securities purchased with borrowed funds declines, when the value of collateral falls, or when applicable margin requirements increase. ==Margin account== When...")
13:03, 20 August 2026 WikiSysopIG talk contribs created page Heteroskedasticity-consistent standard errors (Created page with "'''Heteroskedasticity-consistent standard errors''' ('''HC standard errors''') are standard-error estimators used in regression analysis to provide inference that is robust to heteroskedasticity of the regression errors. In an ordinary least squares (OLS) regression: <math> \mathbf{y} = \mathbf{X}\boldsymbol{\beta} + \boldsymbol{\epsilon} </math> the conventional OLS covariance matrix assume...")
13:02, 20 August 2026 WikiSysopIG talk contribs created page Heteroskedasticity (Created page with "'''Heteroskedasticity''' is a condition in regression analysis in which the variance of the error term is not constant across observations. In a regression model: <math> Y_i = \beta_0 + \beta_1X_{1,i} + \cdots + \beta_kX_{k,i} + \epsilon_i </math> homoskedasticity requires the conditional variance of the error term to be constant: <math> \operatorname{Var}(\epsilon_i\mid\mathbf{X}) = \sigma^2 </math> Under heteroskedasticity, the conditio...")
13:00, 20 August 2026 WikiSysopIG talk contribs created page Alpha (finance) (Created page with "'''Alpha''' is a measure of an investment's performance relative to the return that would be expected from a specified benchmark, market model, or set of risk factors. In a regression-based framework, alpha is commonly represented by the intercept of a return regression. For a simple market model: <math> R_i = \alpha_i + \beta_iR_m + \epsilon_i </math> where: * <math>R_i</math> = return of asset or portfolio <math>i</math>; * <math>\alpha_i</math...")
13:00, 20 August 2026 WikiSysopIG talk contribs created page Multiple linear regression (Created page with "'''Multiple linear regression''' is a statistical method used to model the relationship between a dependent variable and two or more explanatory variables. It extends simple linear regression by allowing multiple explanatory variables to be included in the same model. A general multiple linear regression model is: <math> Y_i = \beta_0 + \beta_1X_{1,i} + \beta_2X_{2,i} + \cdots + \beta_kX_{k,i} + \epsilon_i </math> where: * <math>Y_i</math> =...")
12:59, 20 August 2026 WikiSysopIG talk contribs created page Regression analysis (Created page with "'''Regression analysis''' is a set of statistical methods used to examine the relationship between a dependent variable and one or more explanatory variables. It is used to estimate relationships, quantify associations, test hypotheses, and generate predictions. In its simplest form, regression analysis models a dependent variable <math>Y</math> as a function of an explanatory variable <math>X</math>: <math> Y_i = \beta_0 + \beta_1X_i + \epsilon_i </math> where:...")
12:58, 20 August 2026 WikiSysopIG talk contribs created page Ordinary least squares (Created page with "'''Ordinary least squares''' ('''OLS''') is a method for estimating the parameters of a linear regression model by minimizing the sum of the squared differences between observed and fitted values. For a simple linear regression model: <math> Y_i = \beta_0 + \beta_1X_i + \epsilon_i </math> the fitted value is: <math> \hat{Y}_i = \hat{\beta}_0 + \hat{\beta}_1X_i </math> and the residual is: <math> e_i = Y_i-\hat{Y}_i </math> The OLS estimat...") Tag: Visual edit: Switched
12:57, 20 August 2026 WikiSysopIG talk contribs created page Coefficient of determination (Created page with "'''Coefficient of determination''' is a statistical measure that indicates the proportion of the variation in a dependent variable that is explained by a statistical model. It is commonly denoted by <math>R^2</math> and is widely used in linear regression. For a regression model with an intercept, the coefficient of determination can be expressed as: <math> R^2 = 1- \frac{\mathrm{SS}_{\mathrm{res}}} {\mathrm{SS}_{\mathrm{tot}}} </math> where:...")
12:57, 20 August 2026 WikiSysopIG talk contribs created page Linear regression (Created page with "'''Linear regression''' is a statistical method used to model the relationship between a dependent variable and one or more explanatory variables by estimating a linear function. In the simplest case, linear regression relates one dependent variable <math>Y</math> to one explanatory variable <math>X</math>. A simple linear regression model is: <math> Y_i = \beta_0 + \beta_1X_i + \epsilon_i </math> where: * <math>Y_i</math> = observed value of the dependent varia...")
12:50, 20 August 2026 WikiSysopIG talk contribs created page Variance (Created page with "'''Variance''' is a statistical measure of the dispersion of observations around their mean. It measures the average squared deviation from the mean. In finance, variance is commonly used to measure the variability of investment returns and is an important component of volatility, portfolio risk, and portfolio theory. ::contentReference[oaicite:0]{index=0} ==Population variance== For a population of <math>N</...")
12:49, 20 August 2026 WikiSysopIG talk contribs created page Pearson correlation coefficient (Created page with "'''Pearson correlation coefficient''' is a statistical measure of the strength and direction of the linear relationship between two variables. It is commonly used in statistics, economics, finance, and other quantitative fields. The Pearson correlation coefficient is commonly denoted by <math>r</math> for a sample and <math>\rho</math> for a population. Its value ranges from −1 to +1: <math> -1\leq r\leq1 </math> A value close to +1 indicates a strong positive...")
12:48, 20 August 2026 WikiSysopIG talk contribs created page Covariance (Created page with "'''Covariance''' is a statistical measure of the extent to which two variables tend to vary together. In finance, covariance is commonly used to measure the joint movement of the returns of two assets and is an important component of portfolio risk calculations. A positive covariance indicates that two variables tend to move in the same direction, while a negative covariance indicates that they tend to move in opposite directions. ==Populati...")
12:47, 20 August 2026 WikiSysopIG talk contribs created page Correlation (Created page with "'''Correlation''' is a statistical measure of the degree to which two variables move together. In finance, correlation is commonly used to measure the strength and direction of the relationship between the returns of two assets. The Pearson correlation coefficient is commonly used to measure linear correlation. A correlation coefficient ranges from −1 to +1: <math> -1\leq\rho_{XY}\leq1 </math> where: * <math>\rho_{XY}=+1</math> indicates perfect positive l...")
12:46, 20 August 2026 WikiSysopIG talk contribs created page Standard deviation (Created page with "'''Standard deviation''' is a statistical measure of the dispersion of observations or returns around their mean. In finance, it is commonly used to measure the variability of an asset's returns and is often used as a measure of total risk or volatility. A higher standard deviation indicates that observations are more widely dispersed around the mean, while a lower standard deviation indicates that observations are more closely concentrated around the mean. ==Popul...")
12:45, 20 August 2026 WikiSysopIG talk contribs created page Volatility (finance) (Created page with "'''Volatility''' is a statistical measure of the degree to which the price or return of a financial asset fluctuates over time. It is commonly used as a measure of market risk and uncertainty. Higher volatility indicates larger or more frequent fluctuations in an asset's price or returns, while lower volatility indicates relatively smaller fluctuations. ==Concept== Volatility is commonly measured using the Standard deviation|standard deviati...")
12:45, 20 August 2026 WikiSysopIG talk contribs created page Put option (Created page with "'''Put option''' is a type of option that gives the holder the right, but not the obligation, to sell an underlying asset at a predetermined price on or before a specified date, depending on the option's exercise terms. The predetermined price is known as the '''strike price''' or '''exercise price'''. The buyer of a put option generally pays a '''premium''' to the option seller for this right. ==Concept== A simplified put option can be repres...")
12:44, 20 August 2026 WikiSysopIG talk contribs created page Call option (Created page with "'''Call option''' is a type of option that gives the holder the right, but not the obligation, to buy an underlying asset at a predetermined price on or before a specified date, depending on the option's exercise terms. The predetermined price is known as the '''strike price''' or '''exercise price'''. The buyer of a call option generally pays a '''premium''' to the option seller for this right. ==Concept== A simplified call option can be repr...")