Cost of Equity Formula: CAPM and F2 Explained

The cost of equity is the return shareholders require for investing in a company, and the standard CAPM formula is cost of equity = risk-free rate + beta × (expected market return − risk-free rate). “F2” is not a standard name for a cost-of-equity formula; if you mean a particular spreadsheet cell, course notation, or calculator label, its meaning depends on that source. This calculator estimates cost of equity from the three CAPM inputs and reports the result as an annual percentage.

Formula

The calculator uses the Capital Asset Pricing Model (CAPM):

Cost of equity = risk-free rate + beta × (expected market return − risk-free rate)

• Cost of equity (k_e) is the estimated annual return investors require, expressed as a percentage.
• Risk-free rate (r_f) is an annual percentage used as a proxy for the return on an investment with negligible default risk over a relevant horizon.
• Equity beta (β) is a dimensionless estimate of how an investment’s returns move in relation to the market. A beta of 1 indicates market-level sensitivity in the model; values above or below 1 indicate greater or lesser sensitivity.
• Expected market return (r_m) is the annual percentage return assumed for the market portfolio.

The difference r_m − r_f is the market risk premium. Beta scales that premium to reflect the equity’s modeled market exposure. Enter both rates as percentages, such as 4 for 4%, not as decimals such as 0.04.

Worked Example

Using the calculator’s default inputs—risk-free rate of 4%, beta of 1.2, and expected market return of 8%—the steps are:

1. Market risk premium = 8% − 4% = 4%.
2. Beta-adjusted premium = 1.2 × 4% = 4.8%.
3. Cost of equity = 4% + 4.8% = 8.80%.

The result is an annual CAPM estimate, not a promised or guaranteed return. The displayed percentage follows the formula using the entered values and is rounded to two decimal places.

Assumptions

• The risk-free rate and expected market return are annual percentages measured on a compatible basis.
• Beta is an appropriate estimate for the company’s equity and the market reference used.
• CAPM treats the market risk premium as the relevant compensation for systematic market exposure.
• The calculation does not include company-specific forecasts, financing fees, taxes, or adjustments for liquidity and other risks.

What Cost of Equity Means

Cost of equity is the return a company’s equity investors expect in exchange for bearing the risk of owning shares. It is an economic benchmark, rather than an interest rate the company necessarily pays under a contract. Unlike debt interest, equity returns are not usually a fixed payment obligation. Investors may receive returns through dividends, changes in share value, or both.

Companies and analysts may use an estimated cost of equity as an input to valuation and capital budgeting. For example, discounted cash flow analysis can use it as a discount rate for cash flows attributable to equity holders. The appropriate rate depends on what cash flow is being discounted; a rate for equity cash flows should not be casually substituted for a rate intended for the whole firm’s financing.

How to Choose the Inputs

The arithmetic is simple, but the estimates behind it require judgment. Use sources and assumptions that match the company, currency, date, and investment horizon being analyzed. A mismatch between inputs can make a precise-looking output misleading.

• Risk-free rate: Select a benchmark whose currency and time horizon are consistent with the analysis. It is a modeling proxy, not a claim that every investor can earn that return without risk.
• Beta: Decide how beta is estimated and over what period. Historical beta can change as a company’s business, leverage, or market behavior changes. A company with limited trading history may require an estimate based on comparable businesses, which adds judgment.
• Expected market return: This is an expectation, not a guaranteed future outcome. State the period and method used to form it. Historical returns can inform assumptions but do not determine future returns.
• Consistency: Do not mix nominal and inflation-adjusted rates, or inputs tied to different currencies, without a reasoned adjustment. Keep the rate convention aligned with the cash flows being evaluated.

There is no single set of inputs that is correct for every company or analysis. If a company’s risk profile differs from the market average, beta is one way CAPM represents that difference, but it does not capture every kind of risk.

Interpreting Results and Common Problems

A higher beta increases the CAPM estimate when the market risk premium is positive. If beta is 1, the formula simplifies to the expected market return: r_f + (r_m − r_f) = r_m. If the expected market return equals the risk-free rate, the modeled premium is zero and the output equals the risk-free rate, whatever beta is.

Common errors include entering 0.04 when the calculator expects 4 for a 4% rate, using a beta that belongs to a different company or period, and treating the output as a guaranteed return. Another issue is confusing cost of equity with the weighted average cost of capital (WACC). Cost of equity is the equity-financing component; WACC combines the costs of equity and debt using their financing weights and other assumptions.

CAPM is a model, not a complete description of investor behavior. Its output is sensitive to the expected market premium and beta, both of which are estimates. CAPM also focuses on systematic market risk and does not directly add a separate premium for every company-specific concern. Analysts may examine alternative assumptions or methods when inputs are uncertain, while clearly explaining why they differ.

CAPM and Other Approaches

CAPM is widely taught because it gives a clear relationship between market risk and required return. Other approaches may estimate the cost of equity using dividend-growth assumptions, earnings or cash-flow models, or additional risk factors. These methods have their own data needs and limitations; they are not interchangeable without checking what each estimate represents.

A dividend-growth approach, for example, relies on assumptions about dividends and their future growth, so it may not fit a company that does not pay dividends or whose payout is changing substantially. Multi-factor models can represent more sources of systematic risk than CAPM but require additional factors and estimates. Comparing approaches can help reveal how much the answer depends on the model rather than on arithmetic alone.

Frequently Asked Questions

What does “F2” mean in the cost of equity formula?
F2 is not a standard CAPM term or universally recognized formula name. In a spreadsheet, F2 commonly identifies a cell location, but the formula in that cell depends on the workbook. Check the relevant document or software for its definition.

Is cost of equity the same as expected return?
In CAPM, the cost of equity is an estimate of the return equity investors require, and it may be compared with an expected return. It is not a guaranteed return, and actual investment outcomes can be higher or lower.

Can cost of equity be negative?
The calculator allows negative beta values, but the output’s sign depends on all inputs. A negative result may arise from unusual assumptions or inputs; it should prompt a review of the data and model rather than be read automatically as a meaningful required return.

How is cost of equity different from WACC?
Cost of equity estimates the required return for equity investors. WACC combines equity and debt financing costs according to their weights and, in common formulations, accounts for the tax treatment of debt. This calculator computes cost of equity only.

Why can two analysts get different answers?
They may use different risk-free benchmarks, beta estimates, market-return expectations, or time horizons. Because CAPM depends on those assumptions, the result can differ even when both analysts apply the formula correctly.

This result is an estimate for educational purposes, not financial advice; an issuer’s or analyst’s documented assumptions should be checked before relying on it.

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in rf | Risk-free rate | % | 4 | 0.01 | 100
in beta | Equity beta | - | 1.2 | -10 | 10
in rm | Expected market return | % | 8 | 0.01 | 100
out ke | Cost of equity | % | rf + beta * (rm - rf) | 2