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Knowledge · Cost of capital

Cost of equity and CAPM explained simply

The cost of equity is the return shareholders demand for the risk of a stock. The CAPM calculates it from the risk-free rate, beta and the market risk premium.

At a glance

Formula

Ke = rf + β × MRP

rf  = risk-free rate
β   = beta of the stock
MRP = market risk premium

Worked example: three betas (analyses Oct 2026)

rfBetaMRPKeWACC
Merck4.96%0.604.46%7.64%7.20%
Alphabet4.98%1.214.46%10.38%10.06%
Tesla4.98%*1.94.46%*≈ 13.45%*13.2%

*For Tesla the analysis only states beta and WACC. Ke is recalculated here with the same parameters as Alphabet: 4.98% + 1.9 × 4.46% = 13.45%.

CAPM: security market line with Merck, Alphabet and TeslaThe line rises with beta. Merck beta 0.60 at 7.64 percent, Alphabet beta 1.21 at 10.38 percent, Tesla beta 1.90 at about 13.45 percent cost of equity More beta, more required return Security market line (SML) with three examples, Ke in % 0 5 10 15 0.0 0.5 1.0 1.5 2.0 Beta risk-free rate ≈ 5% slope = market risk premium 4.46% Merck β 0.60 · Ke 7.64% Alphabet β 1.21 · Ke 10.38% Tesla β 1.90 · Ke 13.45% Tesla: Ke recalculated with rf 4.98% and MRP 4.46% (WACC in our analysis: 13.2%)
CAPM: security market line with Merck, Alphabet and Tesla

Beta is an estimate: the Merck example

Merck: cost of equity at measured and used betaBars: beta 0.22 gives 5.94 percent, beta 0.60 gives 7.64 percent cost of equity Beta is an estimate Merck, cost of equity Ke at two betas (rf 4.96%, MRP 4.46%) Measured: beta 0.22 5.94% Used: beta 0.60 7.64% A beta that is too low would inflate the fair value – so we raised it
Merck: cost of equity at measured and used beta

What the number does

Pitfalls

FAQ

  1. Why did you raise Merck’s beta? A measured beta of 0.22 would give a cost of capital that looks too low for a company facing patent expiries and pipeline risk. 0.60 is a deliberately more cautious assumption.
  2. Where does the market risk premium come from? We use 4.46%. As a comparison, Damodaran’s implied US premium stood at 4.23% in January 2026.
  3. Does the CAPM actually hold? It is a model with strong simplifications and disputed in research. In practice it is the common standard because it translates risk into one traceable number. That is why we show the inputs openly.

Further reading

Figures from our analyses, see each example for the date. Last updated: Nov 1, 2026.

This content is for information only and is not investment advice. The examples are model calculations based on assumptions and may differ from actual value.

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