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Base Effect
The base effect is a mathematical effect that originates from the fact that a given percentage of a reference value, is not the same as the absolute difference of the same given percentage of a much larger or smaller reference value. E.g. 1% of a GDP of is not equal to 1% of GDP of in terms of absolute difference. The reference value is common called a base year in economics. A low base effect is the tendency of an absolute change from a low initial amount to be translated into a larger percentage change, while a high base effect would be the tendency of an absolute change from a high initial amount to be translated into a smaller percentage change. Because of the base effect percentages in time series analysis can be misleading, in particular when percentages are compounded annually over a period of many years. A high base effect can mislead because of decreasing percentages even while the underlying absolute difference is increasing over time as much as the measured value or ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Absolute Difference
The absolute difference of two real numbers x and y is given by , x-y, , the absolute value of their difference. It describes the distance on the real line between the points corresponding to x and y, and is a special case of the Lp distance for all 1\le p\le\infty. Its applications in statistics include the absolute deviation from a central tendency. Properties Absolute difference has the following properties: * For x\ge 0, , x-0, =x (zero is the identity element on non-negative numbers) * For all x, , x-x, =0 (every element is its own inverse element) * , x-y, \ge 0 (non-negativity) * , x-y, = 0 if and only if x=y (nonzero for distinct arguments). * , x-y, =, y-x, (''symmetry'' or ''commutativity''). * , x-z, \le, x-y, +, y-z, (the ''triangle inequality''); equality holds if and only if x\le y\le z or x\ge y\ge z. Because it is non-negative, nonzero for distinct arguments, symmetric, and obeys the triangle inequality, the real numbers form a metric space with the absolute ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Compound Annual Growth Rate
Compound annual growth rate (CAGR) is a business, economics and investing term representing the mean annualized growth rate for compounding values over a given time period. CAGR smoothes the effect of volatility of periodic values that can render arithmetic means less meaningful. It is particularly useful to compare growth rates of various data values, such as revenue growth of companies, or of economic values, over time. Equation For annual values, CAGR is defined as: :\mathrm(t_0,t_n) = \left( \frac \right)^\frac - 1 where V(t_0) is the initial value, V(t_n) is the end value, and t_n - t_0 is the number of years. CAGR can also be used to calculate mean annualized growth rates on quarterly or monthly values. The numerator of the exponent would be the value of 4 in the case of quarterly, and 12 in the case of monthly, with the denominator being the number of corresponding periods involved. In practice, CAGR calculations are often performed in Microsoft Excel. A convenient ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Time Series Analysis
In mathematics, a time series is a series of data points indexed (or listed or graphed) in time order. Most commonly, a time series is a sequence taken at successive equally spaced points in time. Thus it is a sequence of discrete-time data. Examples of time series are heights of ocean tides, counts of sunspots, and the daily closing value of the Dow Jones Industrial Average. A time series is very frequently plotted via a run chart (which is a temporal line chart). Time series are used in statistics, signal processing, pattern recognition, econometrics, mathematical finance, weather forecasting, earthquake prediction, electroencephalography, control engineering, astronomy, communications engineering, and largely in any domain of applied science and engineering which involves temporal measurements. Time series ''analysis'' comprises methods for analyzing time series data in order to extract meaningful statistics and other characteristics of the data. Time series ''forec ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Percentage
In mathematics, a percentage () is a number or ratio expressed as a fraction (mathematics), fraction of 100. It is often Denotation, denoted using the ''percent sign'' (%), although the abbreviations ''pct.'', ''pct'', and sometimes ''pc'' are also used. A percentage is a dimensionless quantity, dimensionless number (pure number), primarily used for expressing proportions, but percent is nonetheless a unit of measurement in its orthography and usage. Examples For example, 45% (read as "forty-five percent") is equal to the fraction , or 0.45. Percentages are often used to express a proportionate part of a total. (Similarly, one can also express a number as a fraction of 1,000, using the term "per mille" or the symbol "".) Example 1 If 50% of the total number of students in the class are male, that means that 50 out of every 100 students are male. If there are 500 students, then 250 of them are male. Example 2 An increase of $0.15 on a price of $2.50 is an increase by a fr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Relative Change
In any quantitative science, the terms relative change and relative difference are used to compare two quantities while taking into account the "sizes" of the things being compared, i.e. dividing by a ''standard'' or ''reference'' or ''starting'' value. The comparison is expressed as a ratio and is a unitless number. By multiplying these ratios by 100 they can be expressed as percentages so the terms percentage change, percent(age) difference, or relative percentage difference are also commonly used. The terms "change" and "difference" are used interchangeably. Relative change is often used as a quantitative indicator of quality assurance and quality control for repeated measurements where the outcomes are expected to be the same. A special case of percent change (relative change expressed as a percentage) called '' percent error'' occurs in measuring situations where the reference value is the accepted or actual value (perhaps theoretically determined) and the value being comp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Low Base Effect
Low base effect in business and economics is the tendency of a small absolute change from a low initial amount to be translated into a large percentage change.Parikh, Parag. (2009). ''Value Investing And Behavioral Finance''. New Delhi: Tata McGraw-Hillp. 120 . In the following example, focusing solely on the 33.3% growth of Company B in year 5 may give a misleading indication of the company's relative performance versus Company A. See also * Base effect The base effect is a mathematical effect that originates from the fact that a given percentage of a reference value, is not the same as the absolute difference of the same given percentage of a much larger or smaller reference value. E.g. 1% of a G ... References Economics effects Socio-economic statistics {{economics-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Volatility Tax
The volatility tax is a mathematical finance term first published by Rick Ashburn, CFA in a 2003 column, and formalized by hedge fund manager Mark Spitznagel, describing the effect of large investment losses (or volatility) on compound returns.Not all risk mitigation is created equal ''Pensions & Investments'', November 20, 2017 It has also been called volatility drag, volatility decay or variance drain. This is not literally a tax in the sense of a levy imposed by a government, but the mathematical difference between geometric averages compared to arithmetic averages. This difference resembles a tax due to the mathematics which impose a lower compound return when returns vary over time, compared to a simple sum of returns. This diminishment o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Path Dependence
Path dependence is a concept in the Social science, social sciences, referring to processes where past events or decisions constrain later events or decisions. It can be used to refer to outcomes at a single point in time or to long-run equilibria of a process. Path dependence has been used to describe institutions, Technical standard, technical standards, patterns of Economic development, economic or social development, organizational behavior, and more. In common usage, the phrase can imply two types of claims. The first is the broad concept that "history matters", often articulated to challenge explanations that pay insufficient attention to historical factors. This claim can be formulated simply as "the future development of an economic system is affected by the path it has traced out in the past" or "particular events in the past can have crucial effects in the future." The second is a more specific claim about how past events or decisions affect future events or decisions in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fiscal Year
A fiscal year (also known as a financial year, or sometimes budget year) is used in government accounting, which varies between countries, and for budget purposes. It is also used for financial reporting by businesses and other organizations. Laws in many jurisdictions require company financial reports to be prepared and published on an annual basis but generally with the reporting period not aligning with the calendar year (1 January to 31 December). Taxation laws generally require accounting records to be maintained and taxes calculated on an annual basis, which usually corresponds to the fiscal year used for government purposes. The calculation of tax on an annual basis is especially relevant for direct taxes, such as income tax. Many annual government fees—such as council tax and license fees are also levied on a fiscal year basis, but others are charged on an anniversary basis. Some companies, such as Cisco Systems, end their fiscal year on the same day of the week each ye ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gross Domestic Product
Gross domestic product (GDP) is a monetary measure of the total market value of all the final goods and services produced and rendered in a specific time period by a country or countries. GDP is often used to measure the economic performance of a country or region. Several national and international economic organizations maintain definitions of GDP, such as the OECD and the International Monetary Fund. GDP is often used as a metric for international comparisons as well as a broad measure of economic progress. It is often considered to be the world's most powerful statistical indicator of national development and progress. The GDP can be divided by the total population to obtain the average GDP per capita. Total GDP can also be broken down into the contribution of each industry or sector of the economy. Nominal GDP is useful when comparing national economies on the international market according to the exchange rate. To compare economies over time inflation can be adjus ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inflation
In economics, inflation is an increase in the average price of goods and services in terms of money. This increase is measured using a price index, typically a consumer price index (CPI). When the general price level rises, each unit of currency buys fewer goods and services; consequently, inflation corresponds to a reduction in the purchasing power of money. The opposite of CPI inflation is deflation, a decrease in the general price level of goods and services. The common measure of inflation is the inflation rate, the annualized percentage change in a general price index. Changes in inflation are widely attributed to fluctuations in Real versus nominal value (economics), real demand for goods and services (also known as demand shocks, including changes in fiscal policy, fiscal or monetary policy), changes in available supplies such as during energy crisis, energy crises (also known as supply shocks), or changes in inflation expectations, which may be self-fulfilling. Moderat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Core Inflation
Core inflation is a type of inflation measure which seeks to represent the underlying long-run trend of aggregate price levels in the economy. This is achieved by removing certain items exhibiting short-term significant price fluctuations within the overall consumer basket (as typically measured by the headline Consumer Price Index or other relevant price indices). Core inflation is thus intended to be an indicator and predictor of underlying long-term inflation. The most common approach in accomplishing this is by excluding items frequently subject to volatile price movements, like food and energy. Every country maintains its own calculation of its official core inflation figure and usually reported as complementary to the overall headline inflation by most national statistical agencies. Throughout the years, econometricians have likewise devised alternative approaches in computing core inflation using more formal methodologies. History The concept of core inflation as ag ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
