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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.
The WACC is commonly referred to as the firm's cost of capital. Importantly, it is dictated by the external market and not by management. The WACC represents the minimum return that a company must earn on an existing asset base to satisfy its creditors, owners, and other providers of capital, or they will invest elsewhere. [1]
In mathematical finance, multiple factor models are asset pricing models that can be used to estimate the discount rate for the valuation of financial assets; they may in turn be used to manage portfolio risk.
These models are born out of modern portfolio theory, with the capital asset pricing model (CAPM) as the prototypical result. Prices here are determined with reference to macroeconomic variables–for the CAPM, the "overall market"; for the CCAPM, overall wealth– such that individual preferences are subsumed.
FCFF is the free cash flow to the firm (essentially operating cash flow minus capital expenditures) as reduced for tax; WACC is the weighted average cost of capital, combining the cost of equity and the after-tax cost of debt; t is the time period; n is the number of time periods to "maturity" or exit; g is the sustainable growth rate at that point
The CAPM can be derived from the following special cases of the CCAPM: (1) a two-period model with quadratic utility, (2) two-periods, exponential utility, and normally-distributed returns, (3) infinite-periods, quadratic utility, and stochastic independence across time, (4) infinite periods and log utility, and (5) a first-order approximation ...
R f is the expected risk-free return in that market (government bond yield); β s is the sensitivity to market risk for the security; R m is the historical return of the stock market; and (R m – R f) is the risk premium of market assets over risk free assets. The risk free rate is the yield on long term bonds in the particular market, such as ...
In a discrete (i.e. finite state) market, the following hold: [2] The First Fundamental Theorem of Asset Pricing: A discrete market on a discrete probability space (,,) is arbitrage-free if, and only if, there exists at least one risk neutral probability measure that is equivalent to the original probability measure, P.