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Arbitrage Pricing Theory
In finance, arbitrage pricing theory (APT) is a multi-factor model for asset pricing which relates various macro-economic (systematic) risk variables to the pricing of financial assets. Proposed by economist Stephen Ross (economist), Stephen Ross in 1976, it is widely believed to be an improved alternative to its predecessor, the capital asset pricing model (CAPM). APT is founded upon the law of one price, which suggests that within an equilibrium market, rational investors will implement arbitrage such that the equilibrium price is eventually realised. As such, APT argues that when opportunities for arbitrage are exhausted in a given period, then the expected return of an asset is a linear function of various factors or theoretical market indices, where sensitivities of each factor is represented by a factor-specific beta coefficient or factor loading. Consequently, it provides traders with an indication of ‘true’ asset value and enables exploitation of market discrepancies via ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Asset Pricing
In financial economics, asset pricing refers to a formal treatment and development of two interrelated Price, pricing principles, outlined below, together with the resultant models. There have been many models developed for different situations, but correspondingly, these stem from either General equilibrium theory, general equilibrium asset pricing or Rational pricing, rational asset pricing, the latter corresponding to risk neutral pricing. Investment theory, which is near synonymous, encompasses the body of knowledge used to support the decision-making process of choosing investments, and the asset pricing models are then applied in determining the Required rate of return, asset-specific required rate of return on the investment in question, and for hedging. General equilibrium asset pricing Under general equilibrium theory prices are determined through Market price, market pricing by supply and demand. See, e.g., Tim Bollerslev (2019)"Risk and Return in Equilibrium: The C ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Latent Variable
In statistics, latent variables (from Latin: present participle of ) are variables that can only be inferred indirectly through a mathematical model from other observable variables that can be directly observed or measured. Such '' latent variable models'' are used in many disciplines, including engineering, medicine, ecology, physics, machine learning/artificial intelligence, natural language processing, bioinformatics, chemometrics, demography, economics, management, political science, psychology and the social sciences. Latent variables may correspond to aspects of physical reality. These could in principle be measured, but may not be for practical reasons. Among the earliest expressions of this idea is Francis Bacon's polemic the ''Novum Organum'', itself a challenge to the more traditional logic expressed in Aristotle's Organon: In this situation, the term ''hidden variables'' is commonly used, reflecting the fact that the variables are meaningful, but not observable ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
A Priori And A Posteriori
('from the earlier') and ('from the later') are Latin phrases used in philosophy to distinguish types of knowledge, justification, or argument by their reliance on experience. knowledge is independent from any experience. Examples include mathematics,Some associationist philosophers have contended that mathematics comes from experience and is not a form of any ''a priori'' knowledge () tautologies and deduction from pure reason. Galen Strawson has stated that an argument is one in which "you can see that it is true just lying on your couch. You don't have to get up off your couch and go outside and examine the way things are in the physical world. You don't have to do any science." () knowledge depends on empirical evidence. Examples include most fields of science and aspects of personal knowledge. The terms originate from the analytic methods found in '' Organon'', a collection of works by Aristotle. Prior analytics () is about deductive logic, which comes from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Empirical Evidence
Empirical evidence is evidence obtained through sense experience or experimental procedure. It is of central importance to the sciences and plays a role in various other fields, like epistemology and law. There is no general agreement on how the terms ''evidence'' and ''empirical'' are to be defined. Often different fields work with quite different conceptions. In epistemology, evidence is what Justification (epistemology), justifies beliefs or what determines whether holding a certain belief is rational. This is only possible if the evidence is possessed by the person, which has prompted various epistemologists to conceive evidence as private mental states like experiences or other beliefs. In philosophy of science, on the other hand, evidence is understood as that which ''Scientific method#Confirmation, confirms'' or ''disconfirms'' Hypothesis#Scientific hypothesis, scientific hypotheses and arbitrates between competing theories. For this role, evidence must be public and uncont ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Regression
In statistics, linear regression is a statistical model, model that estimates the relationship between a Scalar (mathematics), scalar response (dependent variable) and one or more explanatory variables (regressor or independent variable). A model with exactly one explanatory variable is a ''simple linear regression''; a model with two or more explanatory variables is a multiple linear regression. This term is distinct from multivariate linear regression, which predicts multiple correlated dependent variables rather than a single dependent variable. In linear regression, the relationships are modeled using linear predictor functions whose unknown model parameters are estimation theory, estimated from the data. Most commonly, the conditional mean of the response given the values of the explanatory variables (or predictors) is assumed to be an affine function of those values; less commonly, the conditional median or some other quantile is used. Like all forms of regression analysis, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Market Portfolio
Market portfolio is an investment portfolio that theoretically consisting of a weighted sum of every asset in the market, with weights in the proportions that they exist in the market, with the necessary assumption that these assets are infinitely divisible. The concept is related to asset allocation and has been critiqued by some economists. In practice index providers and exchange-traded funds (ETF) providers create proxies of a market portfolio using securities that are available on securities exchanges in proportion of their weighting. Critiques Richard Roll's critique states that this is only a theoretical concept, as to create a market portfolio for investment purposes in practice would necessarily include every single possible available asset, including real estate, precious metals, stamp collections, jewelry, and anything with any worth, as the theoretical market being referred to would be the world market. There is some question of whether what is used for the mar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Modern Portfolio Theory
Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return is maximized for a given level of risk. It is a formalization and extension of Diversification (finance), diversification in investing, the idea that owning different kinds of financial assets is less risky than owning only one type. Its key insight is that an asset's risk and return should not be assessed by itself, but by how it contributes to a portfolio's overall risk and return. The variance of return (or its transformation, the standard deviation) is used as a measure of risk, because it is tractable when assets are combined into portfolios. Often, the historical variance and covariance of returns is used as a proxy for the forward-looking versions of these quantities, but other, more sophisticated methods are available. Economist Harry Markowitz introduced MPT in a 1952 paper, for which he was later awarded a Nobel Memorial ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Short Selling
In finance, being short in an asset means investing in such a way that the investor will profit if the market value of the asset falls. This is the opposite of the more common Long (finance), long Position (finance), position, where the investor will profit if the market value of the asset rises. An investor that sells an asset short is, as to that asset, a short seller. There are a number of ways of achieving a short position. The most basic is physical selling short or short-selling, by which the short seller Securities lending, borrows an asset (often a security (finance), security such as a share (finance), share of stock or a bond (finance), bond) and sells it. The short seller must later buy the same amount of the asset to return it to the lender. If the market price of the asset has fallen in the meantime, the short seller will have made a profit equal to the difference in price. Conversely, if the price has risen then the short seller will bear a loss. The short seller ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Carbon Neutrality
Global net-zero emissions is reached when greenhouse gas emissions and removals due to human activities are in balance. It is often called simply net zero. ''Emissions'' can refer to all greenhouse gases or only carbon dioxide (). Reaching net zero is necessary to stop further global warming. It requires deep cuts in emissions, for example by shifting from fossil fuels to sustainable energy, improving energy efficiency and halting deforestation. A small remaining fraction of emissions can then be offset using carbon dioxide removal. People often use the terms ''net-zero emissions'', ''carbon neutrality,'' and ''climate neutrality'' with the same meaning. However, in some cases, these terms have different meanings. For example, some standards for ''carbon neutral certification'' allow a lot of carbon offsetting. But ''net zero standards'' require reducing emissions to more than 90% and then only offsetting the remaining 10% or less to fall in line with 1.5 °C targets. Organ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Short (finance)
In finance, being short in an asset means investing in such a way that the investor will profit if the market value of the asset falls. This is the opposite of the more common Long (finance), long Position (finance), position, where the investor will profit if the market value of the asset rises. An investor that sells an asset short is, as to that asset, a short seller. There are a number of ways of achieving a short position. The most basic is physical selling short or short-selling, by which the short seller Securities lending, borrows an asset (often a security (finance), security such as a share (finance), share of stock or a bond (finance), bond) and sells it. The short seller must later buy the same amount of the asset to return it to the lender. If the market price of the asset has fallen in the meantime, the short seller will have made a profit equal to the difference in price. Conversely, if the price has risen then the short seller will bear a loss. The short seller ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Long (finance)
In finance, a long position in a financial instrument means the holder of the position owns a positive amount of the instrument. The holder of the position has the expectation that the financial instrument will increase in value. This is known as a bullish position. The term "long position" is often used in context of buying options contracts. Ownership When an investor holds a long position in a stock they are buying a share of ownership in a company. Depending on the type of Stock purchased this can entitle the shareholder to voting rights at shareholder meetings or dividend payments. Security In terms of a security, such as a stock or a bond, or equivalently ''to be long'' in a security, means the holder of the position owns the security, on the expectation that the security will increase in value, and will profit if the price of the security goes up. ''Going long'' a security is the more conventional practice of investing. Future Going long in a future means th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Discounted Cash Flow Valuation
Valuation using discounted cash flows (DCF valuation) is a method of estimating the current value of a company based on projected future cash flows adjusted for the time value of money. The cash flows are made up of those within the “explicit” forecast period, together with a continuing or terminal value that represents the cash flow stream after the forecast period. In several contexts, DCF valuation is referred to as the "income approach". Discounted cash flow valuation was used in industry as early as the 1700s or 1800s; it was explicated by John Burr Williams in his ''The Theory of Investment Value'' in 1938; it was widely discussed in financial economics in the 1960s; and became widely used in U.S. courts in the 1980s and 1990s. This article details the mechanics of the valuation, via a worked example; it also discusses modifications typical for startups, private equity and venture capital, corporate finance "projects", and mergers and acquisitions, and for sector- ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
