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Equations · Finance and economics

Capital asset pricing model (CAPM)

The return investors should expect from an asset, given how it moves with the market.

Press listen to hear it read

E(Rᵢ) = R_f + βᵢ(E(R_m) − R_f)

Aethel says

E of R sub i equals R sub f plus beta sub i times the quantity E of R sub m, minus R sub f

What it says

An asset earns the risk-free rate plus a premium for market risk. Beta measures that risk: a beta of 1 moves with the market, above 1 amplifies it, below 1 dampens it.

Symbol by symbol

SymbolSay itMeans
E(Rᵢ)E of R sub ithe expected return on asset i
R_fR sub fthe risk-free rate
βᵢbeta sub ithe asset's sensitivity to the market
E(R_m)E of R sub mthe expected market return

More onβBeta

Where you meet it

Corporate finance, investments and the CFA curriculum.

Questions

How do you say Capital asset pricing model out loud?

E(Rᵢ) = R_f + βᵢ(E(R_m) − R_f) is read: “E of R sub i equals R sub f plus beta sub i times the quantity E of R sub m, minus R sub f.” That is exactly what Aethel says when it meets the formula in a book.

What does E(Rᵢ) mean in Capital asset pricing model?

E(Rᵢ) (said “E of R sub i”) is the expected return on asset i.

What does R_f mean in Capital asset pricing model?

R_f (said “R sub f”) is the risk-free rate.

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