How do you calculate the cost of equity?

Use CAPM. Cost of equity is the risk free rate plus beta times the equity risk premium, so 4% plus 1.2 times 5% is 10%. Use a long term government bond yield for the risk free rate. It should exceed the cost of debt.

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Example answer

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The cost of equity is the return shareholders require for owning the stock. There's no contract that states it, the way there is for debt, so I have to estimate it. The standard way is CAPM.

The formula is the risk-free rate plus beta times the equity risk premium.

The risk-free rate comes from government bond yields. Beta measures how much the stock moves with the market. The equity risk premium is the extra return investors want for holding stocks instead of government bonds.

So a company that moves more with the market has a higher cost of equity.

What holds it back

The formula and the three inputs are right, but it stops at definitions. There's no worked number, and nothing on where you'd actually find each input.

The numbers, step by step

Assumed inputs: a 4% risk-free rate, a 5% equity risk premium and a beta of 1.2, then the same with betas of 1.0 and 1.5.

Beta times the premium1.2 × 5%
6%
Cost of equity4% + 6%
10%
With a beta of 1.04% + 1.0 × 5%
9%
With a beta of 1.54% + 1.5 × 5%
11.5%
Effect of half a point of beta11.5% − 9%
2.5 points

What the interviewer listens for

  • Do you know the CAPM formula without hesitating?
  • Can you say where each of the three inputs comes from?
  • Do you state your rates as assumptions instead of quoting the market?
  • Do you understand why beta, and not total risk, drives the answer?

Common mistakes

  • Multiplying beta by the whole market return.Beta applies to the premium over the risk-free rate, so the risk-free rate is only counted once.
  • Quoting a bond yield or risk premium as today's fact.Say "I'll assume 4%" unless you checked it this morning.
  • Using a risk-free rate in a different currency from the cash flows, which mixes two inflation outlooks in one valuation.
  • Ending up with a cost of equity below the cost of debt and not noticing.Shareholders rank behind lenders, so they need more.

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