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Key. ER: Expected return on a specific asset RFR: Risk-free rate, typically the return on a Treasury security Beta: The volatility of the investment MR: The return on a comparable market index To ...
An estimation of the CAPM and the security market line (purple) for the Dow Jones Industrial Average over 3 years for monthly data. 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 .
Consumption-based capital asset pricing model. The consumption-based capital asset pricing model ( CCAPM) is a model of the determination of expected (i.e. required) return on an investment. [1] The foundations of this concept were laid by the research of Robert Lucas (1978) and Douglas Breeden (1979). [2]
Jensen's alpha is a statistic that is commonly used in empirical finance to assess the marginal return associated with unit exposure to a given strategy. Generalizing the above definition to the multifactor setting, Jensen's alpha is a measure of the marginal return associated with an additional strategy that is not explained by existing factors.
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 in investing, the idea that owning different kinds of financial assets is less risky than owning ...
The risk-free rate is also a required input in financial calculations, such as the Black–Scholes formula for pricing stock options and the Sharpe ratio. Note that some finance and economic theories assume that market participants can borrow at the risk-free rate; in practice, very few (if any) borrowers have access to finance at the risk free ...
With a risk-free asset, the straight capital allocation line is the efficient frontier. In modern portfolio theory, the efficient frontier (or portfolio frontier) is an investment portfolio which occupies the "efficient" parts of the risk–return spectrum. Formally, it is the set of portfolios which satisfy the condition that no other ...
In financial economics, asset pricing refers to a formal treatment and development of two interrelated pricing principles, [1] [2] outlined below, together with the resultant models. There have been many models developed for different situations, but correspondingly, these stem from either general equilibrium asset pricing or rational asset ...