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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] |
Investment Portfolio
In finance, a portfolio is a collection of investment#In finance, investments. Definition The term "portfolio" refers to any combination of financial assets such as stocks, Bond (finance), bonds and cash. Portfolios may be held by individual investors or managed by financial professionals, hedge funds, banks and other financial institutions. It is a generally accepted principle that a portfolio is designed according to the investor's risk tolerance, time frame and investment objectives. The monetary value of each asset may influence the risk/reward ratio of the portfolio. When determining asset allocation, the aim is to maximise the expected return and minimise the risk. This is an example of a Multi-objective optimization, multi-objective optimization problem: many efficiency (finance), efficient solutions are available and the preferred solution must be selected by considering a tradeoff between risk and return. In particular, a portfolio A is dominated by another portfolio A' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
S&P 500
The Standard and Poor's 500, or simply the S&P 500, is a stock market index tracking the stock performance of 500 leading companies listed on stock exchanges in the United States. It is one of the most commonly followed equity indices and includes approximately 80% of the total market capitalization of U.S. public companies, with an aggregate market cap of more than $49.8 trillion as of March 31, 2025. The S&P 500 index is a Free-float weighted/ capitalization-weighted index. As of April 2025, the ten largest companies on the list of S&P 500 companies accounted for approximately 35% of the market capitalization of the index and were, in order of highest to lowest weighting: Apple (6.4%), Microsoft (6.2%), Nvidia (6.0%), Amazon.com (3.8%), Alphabet (3.6%, including both class A & C shares), Meta Platforms (2.7%), Berkshire Hathaway (2.0%), Broadcom (1.8%), Tesla (1.6%), and JPMorgan Chase (1.4%). The components that have increased their dividends in 25 consecutive ye ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Security Characteristic Line
Security characteristic line (SCL) is a regression line, plotting performance of a particular security or portfolio against that of the market portfolio at every point in time. The SCL is plotted on a graph where the Y-axis is the excess return on a security over the risk-free return and the X-axis is the excess return of the market in general. The slope of the SCL is the security's beta, and the intercept is its alpha. Formula :\mathrm : R_ - R_ = \alpha_i + \beta_i\, ( R_ - R_ ) + \epsilon_ where: :''α''''i'' is called the asset's alpha Alpha (uppercase , lowercase ) is the first letter of the Greek alphabet. In the system of Greek numerals, it has a value of one. Alpha is derived from the Phoenician letter ''aleph'' , whose name comes from the West Semitic word for ' ... (abnormal return) :''βi''(''R''''M'',''t'' – ''Rf'') is a nondiversifiable or systematic risk :''ε''''i'',''t'' is the non-systematic or diversifiable, non-market or idiosyncratic risk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Security Market Line
Security market line (SML) is the representation of the capital asset pricing model. It displays the expected rate of return of an individual security as a function of systematic, non-diversifiable risk. The risk of an individual risky security reflects the volatility of the return from the security rather than the return of the market portfolio. The risk in these individual risky securities reflects the systematic risk. Formula The Y-intercept of the SML is equal to the risk-free interest rate. The slope of the SML is equal to the market risk premium and reflects the risk return tradeoff at a given time: :\mathrm : E(R_i) = R_f + \beta_ (R_M) - R_f, where: : is an expected return on security : is an expected return on market portfolio :''β'' is a nondiversifiable or systematic risk : is a market rate of return : is a risk-free rate When used in portfolio management, the SML represents the investment's opportunity cost (investing in a combination of the market portfolio a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Capital Allocation Line
Capital allocation line (CAL) is a graph created by investors to measure the risk of risky and risk-free assets. The graph displays the return to be made by taking on a certain level of risk. Its slope is known as the "reward-to-variability ratio". Formula The capital allocation line is a straight line that has the following equation: :\mathrm : E(r_) = r_F + \sigma_C \frac In this formula ''P'' is the risky portfolio, ''F'' is riskless portfolio, and ''C'' is a combination of portfolios ''P'' and ''F''. The slope of the capital allocation line is equal to the incremental return of the portfolio to the incremental increase of risk. Hence, the slope of the capital allocation line is called the reward-to-variability ratio because the expected return increases continually with the increase of risk as measured by the standard deviation. Derivation If investors can purchase a risk free asset with some return ''rF'', then all correctly priced risky assets or portfolios will have ex ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Asset Allocation
Asset allocation is the implementation of an investment strategy that attempts to balance risk versus reward by adjusting the percentage of each asset in an investment portfolio according to the investor's risk tolerance, goals and investment time frame. The focus is on the characteristics of the overall portfolio. Such a strategy contrasts with an approach that focuses on individual assets. Description Many financial experts argue that asset allocation is an important factor in determining returns for an investment portfolio. Asset allocation is based on the principle that different assets perform differently in different market and economic conditions. A fundamental justification for asset allocation is the notion that different asset classes offer returns that are not perfectly correlated, hence diversification reduces the overall risk in terms of the variability of returns for a given level of expected return. Asset diversification has been described as "the only f ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William F
William is a masculine given name of Germanic languages, Germanic origin. It became popular in England after the Norman Conquest, Norman conquest in 1066,All Things William"Meaning & Origin of the Name"/ref> and remained so throughout the Middle Ages and into the modern era. It is sometimes abbreviated "Wm." Shortened familiar versions in English include Will (given name), Will or Wil, Wills, Willy, Willie, Bill (given name), Bill, Billie (given name), Billie, and Billy (name), Billy. A common Irish people, Irish form is Liam. Scottish people, Scottish diminutives include Wull, Willie or Wullie (as in Oor Wullie). Female forms include Willa, Willemina, Wilma (given name), Wilma and Wilhelmina (given name), Wilhelmina. Etymology William is related to the German language, German given name ''Wilhelm''. Both ultimately descend from Proto-Germanic ''*Wiljahelmaz'', with a direct cognate also in the Old Norse name ''Vilhjalmr'' and a West Germanic borrowing into Medieval Latin ''Wil ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Capital Asset Pricing Model
In finance, the capital asset pricing model (CAPM) is a model used to determine a theoretically appropriate required rate of return of an asset, to make decisions about adding assets to a Diversification (finance), well-diversified Portfolio (finance), portfolio. The model takes into account the asset's sensitivity to non-diversifiable risk (also known as systematic risk or market risk), often represented by the quantity Beta (finance), beta (β) in the financial industry, as well as the expected return of the market and the expected return of a theoretical Risk-free bond, risk-free asset. CAPM assumes a particular form of utility functions (in which only first and second Moment (mathematics), moments matter, that is risk is measured by variance, for example a quadratic utility) or alternatively asset returns whose probability distributions are completely described by the first two moments (for example, the normal distribution) and zero transaction costs (necessary for diversifi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Roll's Critique
Roll's critique is a famous analysis of the validity of empirical tests of the capital asset pricing model (CAPM) by Richard Roll. It concerns methods to formally test the statement of the CAPM, the equation :E(R_i) = R_f + \beta_ (R_m) - R_f\, This equation relates an asset's expected return E(R_i) to the asset's sensitivity \beta_ to the market portfolio return R_m. The market return is defined as the wealth-weighted sum of all investment returns in the economy. Roll's critique makes two statements regarding the market portfolio: 1. Mean-variance tautology: Any mean-variance efficient portfolio R_p satisfies the CAPM equation ''exactly'': :E(R_i) = R_f + \beta_ (R_p) - R_f,. (A portfolio is mean-variance efficient if there is no portfolio that has a higher return and lower risk than those for the efficient portfolio.) Mean-variance efficiency of the market portfolio is equivalent to the CAPM equation holding. This statement is a mathematical fact, requiring ''no'' model ass ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
United Kingdom
The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a country in Northwestern Europe, off the coast of European mainland, the continental mainland. It comprises England, Scotland, Wales and Northern Ireland. The UK includes the island of Great Britain, the north-eastern part of the island of Ireland, and most of List of islands of the United Kingdom, the smaller islands within the British Isles, covering . Northern Ireland shares Republic of Ireland–United Kingdom border, a land border with the Republic of Ireland; otherwise, the UK is surrounded by the Atlantic Ocean, the North Sea, the English Channel, the Celtic Sea and the Irish Sea. It maintains sovereignty over the British Overseas Territories, which are located across various oceans and seas globally. The UK had an estimated population of over 68.2 million people in 2023. The capital and largest city of both England and the UK is London. The cities o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weighted Sum
A weight function is a mathematical device used when performing a sum, integral, or average to give some elements more "weight" or influence on the result than other elements in the same set. The result of this application of a weight function is a weighted sum or weighted average. Weight functions occur frequently in statistics and analysis, and are closely related to the concept of a measure. Weight functions can be employed in both discrete and continuous settings. They can be used to construct systems of calculus called "weighted calculus" and "meta-calculus".Jane Grossma''Meta-Calculus: Differential and Integral'' , 1981. Discrete weights General definition In the discrete setting, a weight function w \colon A \to \R^+ is a positive function defined on a discrete set A, which is typically finite or countable. The weight function w(a) := 1 corresponds to the ''unweighted'' situation in which all elements have equal weight. One can then apply this weight to various conc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
