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Single-index Model
The single-index model (SIM) is a simple asset pricing model to measure both the risk and the return of a stock. The model has been developed by William Sharpe in 1963 and is commonly used in the finance industry. Mathematically the SIM is expressed as: : r_ - r_f = \alpha_i + \beta_i(r_ - r_f) + \epsilon_ \, : \epsilon_ \sim N(0,\sigma_i^2) \, where: : ''rit'' is return to stock ''i'' in period ''t'' : ''rf'' is the risk free rate (i.e. the interest rate on treasury bills) : ''rmt'' is the return to the market portfolio in period ''t'' : \alpha_i is the stock's alpha, or abnormal return : \beta_i is the stock's beta, or responsiveness to the market return : Note that r_ - r_f is called the excess return on the stock, r_ - r_f the excess return on the market : \epsilon_ are the residual (random) returns, which are assumed independent normally distributed with mean zero and standard deviation \sigma_i These equations show that the stock return is influenced by the market (be ...
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Asset Pricing
In financial economics, asset pricing refers to a formal treatment and development of two main 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, or in pricing derivatives on these, for trading or hedge (finance), hedging. (See also .) General Equilibrium Asset Pricing Under General equilibrium theory prices are determined through Market price, market pricing by supply and demand. He ...
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Capital Stock
A corporation's share capital, commonly referred to as capital stock in the United States, is the portion of a corporation's equity that has been derived by the issue of shares in the corporation to a shareholder, usually for cash. "Share capital" may also denote the number and types of shares that compose a corporation's share structure. Definition In accounting, the share capital of a corporation is the nominal value of issued shares (that is, the sum of their par values, sometimes indicated on share certificates). If the allocation price of shares is greater than the par value, as in a rights issue, the shares are said to be sold at a premium (variously called share premium, additional paid-in capital or paid-in capital in excess of par). Commonly, the share capital is the total of the nominal share capital and the premium share capital. Most jurisdictions do not allow a company to issue shares below par value, but if permitted they are said to be issued at a discount or pa ...
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William F
William is a male given name of Germanic origin.Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxford University Press, 2nd edition, , p. 276. It became very popular in the English language after the Norman conquest of England 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, Wills, Willy, Willie, Bill, and Billy. A common Irish form is Liam. Scottish diminutives include Wull, Willie or Wullie (as in Oor Wullie or the play ''Douglas''). Female forms are Willa, Willemina, Wilma and Wilhelmina. Etymology William is related to the given name ''Wilhelm'' (cf. Proto-Germanic ᚹᛁᛚᛃᚨᚺᛖᛚᛗᚨᛉ, ''*Wiljahelmaz'' > German ''Wilhelm'' and Old Norse ᚢᛁᛚᛋᛅᚼᛅᛚᛘᛅᛋ, ''Vilhjálmr''). By regular sound changes, the native, inherited English form of the name shoul ...
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Finance
Finance is the study and discipline of money, currency and capital assets. It is related to, but not synonymous with economics, the study of production, distribution, and consumption of money, assets, goods and services (the discipline of financial economics bridges the two). Finance activities take place in financial systems at various scopes, thus the field can be roughly divided into personal, corporate, and public finance. In a financial system, assets are bought, sold, or traded as financial instruments, such as currencies, loans, bonds, shares, stocks, options, futures, etc. Assets can also be banked, invested, and insured to maximize value and minimize loss. In practice, risks are always present in any financial action and entities. A broad range of subfields within finance exist due to its wide scope. Asset, money, risk and investment management aim to maximize value and minimize volatility. Financial analysis is viability, stability, and profitability asse ...
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Alpha (investment)
Alpha is a measure of the active return on an investment, the performance of that investment compared with a suitable market index. An alpha of 1% means the investment's return on investment over a selected period of time was 1% better than the market during that same period; a negative alpha means the investment underperformed the market. Alpha, along with beta, is one of two key coefficients in the capital asset pricing model used in modern portfolio theory and is closely related to other important quantities such as standard deviation, R-squared and the Sharpe ratio. In modern financial markets, where index funds are widely available for purchase, alpha is commonly used to judge the performance of mutual funds and similar investments. As these funds include various fees normally expressed in percent terms, the fund has to maintain an alpha greater than its fees in order to provide positive gains compared with an index fund. Historically, the vast majority of traditional funds ha ...
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All Ordinaries
Established in January 1980, the All Ordinaries (colloquially known as the "All Ords"; also known as the All Ordinaries Index, AOI) is the oldest index of shares in Australia. It is made up of the share prices for 500 of the largest companies listed on the Australian Securities Exchange (ASX). The market capitalization of the companies included in the All Ords index amounts to over 95% of the value of all shares listed on the ASX. The 3-letter exchange ticker in Australia for the All Ordinaries is "XAO". History When established, the All Ords had a base index of 500; this means that if the index is currently at 5000 points, the nominal value of stocks in the All Ords in Australian dollars has increased tenfold since January 1980. On 3 April 2000, the All Ords was restructured to consist of the 500 largest companies by market capitalisation. This coincided with the introduction of new benchmark indices such as the S&P/ASX 200. The importance of the All Ords has been significantl ...
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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 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 arbitrage. The linear fac ...
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Systematic Risk
In finance and economics, systematic risk (in economics often called aggregate risk or undiversifiable risk) is vulnerability to events which affect aggregate outcomes such as broad market returns, total economy-wide resource holdings, or aggregate income. In many contexts, events like earthquakes, epidemics and major weather catastrophes pose aggregate risks that affect not only the distribution but also the total amount of resources. That is why it is also known as contingent risk, unplanned risk or risk events. If every possible outcome of a stochastic economic process is characterized by the same aggregate result (but potentially different distributional outcomes), the process then has no aggregate risk. Properties Systematic or aggregate risk arises from market structure or dynamics which produce shocks or uncertainty faced by all agents in the market; such shocks could arise from government policy, international economic forces, or acts of nature. In contrast, specific ris ...
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Stock Market Index
In finance, a stock index, or stock market index, is an index that measures a stock market, or a subset of the stock market, that helps investors compare current stock price levels with past prices to calculate market performance. Two of the primary criteria of an index are that it is ''investable'' and ''transparent'': The methods of its construction are specified. Investors can invest in a stock market index by buying an index fund, which are structured as either a mutual fund or an exchange-traded fund, and "track" an index. The difference between an index fund's performance and the index, if any, is called ''tracking error''. For a list of major stock market indices, see List of stock market indices. Types of indices by weighting method Stock market indices could be segmented by their index weight methodology, or the rules on how stocks are allocated in the index, independent of its stock coverage. For example, the S&P 500 and the S&P 500 Equal Weight both covers the sam ...
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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 large companies listed on stock exchanges in the United States. It is one of the most commonly followed equity indices. As of December 31, 2020, more than $5.4 trillion was invested in assets tied to the performance of the index. The S&P 500 index is a free-float weighted/capitalization-weighted index. As of August 31, 2022, the nine largest companies on the list of S&P 500 companies accounted for 27.8% of the market capitalization of the index and were, in order of highest to lowest weighting: Apple, Microsoft, Alphabet (including both class A & C shares), Amazon.com, Tesla, Berkshire Hathaway, UnitedHealth Group, Johnson & Johnson and ExxonMobil. The components that have increased their dividends in 25 consecutive years are known as the S&P 500 Dividend Aristocrats. The index is one of the factors in computation of the Conference Board Leading Economic Index ...
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Risk Factor (finance)
In finance, risk factors are the building blocks of investing, that help explain the systematic returns in equity market, and the possibility of losing money in investments or business adventures.Roncalli, T. (2014). Strategy - Risk factor investing explained. Retrieved May 16, 2020, from https://www.next-finance.net/Risk-factor-investing-explained A risk factor is a concept in finance theory such as the capital asset pricing model, arbitrage pricing theory and other theories that use pricing kernels. In these models, the rate of return of an asset (''hence the converse its price'') is a random variable whose realization in any time period is a linear combination of other random variables plus a disturbance term or white noise. In practice, a linear combination of observed factors included in a linear asset pricing model (for example, the Fama–French three-factor model) proxy for a linear combination of unobserved risk factors if financial market efficiency is assumed. In the ...
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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 well-diversified 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 (β) in the financial industry, as well as the expected return of the market and the expected return of a theoretical risk-free asset. CAPM assumes a particular form of utility functions (in which only first and second 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 diversification to get rid of all idiosyncratic risk). Under these conditions, CAPM shows that the cost of eq ...
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