CAPM Calculator (Capital Asset Pricing Model)
Find an asset's expected return from the risk-free rate, its beta, and the expected market return: E(R) = Rf + β(Rm − Rf).
- Expected return, E(R)
- 9%
- Market risk premium (Rm − Rf)
- 5%
- Asset's risk premium (β × market premium)
- 6%
How it works
The Capital Asset Pricing Model estimates the return an asset ought to offer given its systematic (market-wide) risk: E(R) = Rf + β·(Rm − Rf). Rm − Rf is the market risk premium — the extra return investors demand for holding market risk at all, over and above the risk-free rate. Beta scales that premium to the specific asset: β = 1 means the asset moves exactly with the market and earns the full market premium; β = 0 means the asset carries no systematic risk and earns just the risk-free rate; a fractional β earns a proportionally smaller premium, and a β above 1 earns a larger one.
A negative beta — an asset that tends to move opposite the market — makes the risk-premium term work in reverse, subtracting from the risk-free rate rather than adding to it. That's not an error case; it's the model correctly pricing a hedge-like asset, one expected to lag cash when the market does well but hold up (or gain) when the market falls.
Every input here — the risk-free rate, beta, and the expected market return — is a figure you supply directly, since none of them are universal constants: the risk-free rate tracks current government-bond yields, beta is typically estimated from an asset's historical price data, and the expected market return is itself a forecast. This calculator is the final CAPM arithmetic once you already have those three numbers — compare it with this site's WACC calculator, which takes cost of equity as a direct input precisely because a full WACC analysis often estimates that cost of equity via CAPM first.
FAQ
What's a typical value for beta?
By definition, the overall market has a beta of exactly 1. Individual stocks commonly range from about 0.5 (defensive sectors like utilities or consumer staples, which move less than the market) up to 1.5 or more (cyclical or high-growth sectors, which amplify market swings) — but beta is an empirical, backward-looking estimate from an asset's own price history, not a fixed property, so it changes over time and varies by data source.
Why use the risk-free rate as the baseline instead of zero?
CAPM reasons that no investor should accept a return below what they could earn with essentially no risk at all (commonly proxied by short-term government debt), so the risk-free rate sets the floor, and every asset's expected return is that floor plus a premium for the market risk it carries — an asset with zero systematic risk (β = 0) is modeled as earning exactly the risk-free rate, not zero.
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