How Do I Use the CAPM to Determine Cost of Equity? (2024)

What Is the Capital Asset Pricing Model (CAPM)?

Corporate accountants and financial analysts often use the capital asset pricing model (CAPM) in capital budgeting to estimate the cost of shareholder equity.Described as the relationship between systematic risk andexpected returnfor assets, CAPM is widely usedfor the pricing of riskysecurities, generating expected returns for assets given the associated risk, and calculating costs of capital.

Key Takeaways

  • The capital asset pricing model (CAPM) is used to calculate expected returns given the cost of capital and risk of assets.
  • The CAPM formula requires the rate of return for the general market, the beta value of the stock, and the risk-free rate.
  • The weighted average cost of capital (WACC) is calculated with the firm's cost of debt and cost of equity—which can be calculated via the CAPM.
  • There are limitations to the CAPM, such as agreeing on the rate of return and which one to use and making various assumptions.
  • There are online calculators for determining the cost of equity, but calculating the formula by hand or by using Excel is a relatively simple exercise.

Cost of Equity CAPM Formula

The CAPM formula requires only the following three pieces of information: the rate of return for the general market, the beta value of the stock in question, and the risk-free rate.

CAPM Formula

Cost of Equity = Risk-Free Rate of Return + Beta * (Market Rate of Return - Risk-Free Rate of Return)

The risk-free rate of return is the theoretical return of an investment that has zero risk. It's considered theoretical because every investment carries some amount of risk, however small. It generally assumes the rate of return that's offered by short-term government debt.

What the CAPM Can Tell You

The cost of equity is an integral part of the weighted average cost of capital (WACC). WACC is widely used to determine the total anticipated cost of all capital under different financing plans. WACC is often used tofind the most cost-effective mix of debt and equity financing.

Assume Company ABC trades on the S&P 500 with a rate of return of 10%. The company's stock is slightly more volatile than the market with a beta of 1.2. The risk-free rate based on the three-month T-bill is 4.5%.

Based on this information, the cost of the company's equity financing is 11%: Cost of Equity = 4.5% + (1.2 * (10% - 4.5%)).

Numerous online calculators can determine the CAPM cost of equity, but calculating the formula by hand or by using Microsoft Excel is a relatively simple exercise.

CAPM and Beta

Beta is one of the important features of CAPM, so let's spend a minute specifically on that measurement. Beta tracks a stock's volatility relative to the overall market. It indicates how much a stock's price is expected to move in terms of market movements.

If a stock has a beta of 1, it tends to move in line with the market; a beta greater than 1 means the stock is more volatile than the market, while a beta less than 1 indicates it's less volatile. If a stock has a beta of 1.5, it's expected to be 50% more volatile than the market, moving up or down more sharply when the market changes.

In CAPM, beta is used to determine the expected return of an asset factoring in its risk relative to the market. CAPM assumes that investors need to be compensated for both the time value of money through the risk-free rate and the risk they take (through the market risk premium multiplied by beta). A higher beta increases the expected return, reflecting the higher risk associated with more volatile stocks.

The Difference Between CAPM and WACC

The CAPM is a formula for calculating the cost of equity. The cost of equity is part of the equation used for calculating the WACC. The WACC is the firm's cost of capital. This includes the cost of equity and the cost of debt.

WACC Formula

WACC = [Cost of Equity * Percent of Firm's Capital in Equity] + [Cost of Debt * Percent of Firm's Capital in Debt * (1 - Tax Rate)]

WACC can be used as a hurdle rate against which to evaluate future funding sources. WACC can be used to discount cash flows with capital projects to determine net present value. A company's WACC will be higher if its stock is volatile or seen as riskier as investors will demand greater returns to compensate for additional risk.

Limitations of Using CAPM

There are some limitations to the CAPM, such as agreeing on the rate of return and which one to use. Beyond that, there’s also the market return, which assumes positive returns, while also using historical data. This includes the beta, which is only available for publicly traded companies. The beta also only calculates systematic risk, which doesn’t account for the risk companies face in various markets.

Various assumptions must be made including that investors can borrow money without limitations at the risk-free rate. The CAPM also assumes that no transaction fees occur, investors own a portfolio of assets, and investors are only interested in the rate of return for a single period—all of which are not always true.

Why Does Cost of Equity Matter?

Let's wrap up this article by talking about why the cost of equity matters. The cost of equity represents the return that investors expect in exchange for owning a company’s stock. Compared to safer investments, investors demand a higher return which is quantified as the cost of equity.

For businesses, understanding the cost of equity is key to making informed financial decisions. Before pursuing new projects or expansions, companies need to make sure the expected returns will exceed the cost of equity. If a project’s return is lower than the cost of equity, it could diminish shareholder value rather than enhance it. This is because the ultimate cost of undertaking a project and financing it through stock may be higher than the return the company receives from the investment.

Whether through optimizing their capital structure, improving their risk profile, or choosing projects that promise strong returns, companies need to understand and control their cost of equity. By understanding its cost of equity, a company can make better financing decisions. For instance, a company may decide it will be cheaper to take out more debt than it would be to issue more stock.

Is CAPM the Same As Cost of Equity?

CAPM is a formula used to calculate the cost of equity—the rate of return a company pays to equity investors. For companies that pay dividends, the dividend capitalization model can be used to calculate the cost of equity.

How Do You Calculate Cost of Equity Using CAPM?

The CAPM formula can be used to calculate the cost of equity, where the formula used is: Cost of Equity = Risk-Free Rate of Return + Beta * (Market Rate of Return - Risk-Free Rate of Return).

What Are Some Potential Problems When Estimating the Cost of Equity?

The biggest issues when estimating the cost of equity include measuring the market risk premium, finding appropriate beta information, and using short- or long-term rates for the risk-free rate.

How Are CAPM and WACC Related?

WACC is the total cost of all capital. CAPM is used to determine the estimated cost of shareholder equity. The cost of equity calculated from the CAPM can be added to the cost of debt to calculate the WACC.

The Bottom Line

For accountants and analysts, CAPM is a tried-and-true methodology for estimating the cost of shareholder equity. The model quantifies the relationship between systematic risk andexpected returnfor assets and applies to a multitude of accounting and financial contexts.

How Do I Use the CAPM to Determine Cost of Equity? (2024)

FAQs

How to calculate cost of equity with CAPM? ›

The CAPM formula can be used to calculate the cost of equity, where the formula used is: Cost of Equity = Risk-Free Rate of Return + Beta * (Market Rate of Return - Risk-Free Rate of Return).

How to use CAPM to value a stock? ›

To calculate the value of a stock using CAPM, multiply the volatility, known as "beta," by the additional compensation for incurring risk, known as the "Market Risk Premium," then add the risk-free rate to that value.

Does CAPM calculate return on equity? ›

The capital asset pricing model (CAPM) is an idealized portrayal of how financial markets price securities and thereby determine expected returns on capital investments. The model provides a methodology for quantifying risk and translating that risk into estimates of expected return on equity.

Which method is best for calculating the cost of equity? ›

Estimate the cost of equity by dividing the annual dividends per share by the current stock price, then add the dividend growth rate. In comparison, the capital asset pricing model considers the beta of investment, the expected market rate of return, and the Rf rate of return.

What is the formula for the cost of equity charge? ›

Cost of equity = (Next year's annual dividend / Current stock price) + Dividend growth rate. Cost of equity percentage = Risk-free rate of return + [Beta of the investment × (Market rate of return – Risk-free rate of return)]

What is the formula for cost of equity in WACC? ›

After calculating the risk-free rate, equity risk premium, and levered beta, the cost of equity = risk-free rate + equity risk premium * levered beta.

What is the CAPM for dummies? ›

The Capital Asset Pricing Model (CAPM) is a model that describes the relationship between the expected return and risk of investing in a security. It shows that the expected return on a security is equal to the risk-free return plus a risk premium, which is based on the beta of that security.

Is cost of equity the same as expected return? ›

If an investor decides to contribute capital to the investment or project, the cost of equity is the expected return, which should compensate the investor appropriately for the degree of risk undertaken.

What is the formula for cost of equity in Excel? ›

After gathering the necessary information, enter the risk-free rate, beta and market rate of return into three adjacent cells in Excel, for example, A1 through A3. In cell A4, enter the formula = A1+A2(A3-A1) to render the cost of equity using the CAPM method.

How do you calculate return on equity from cost of equity? ›

Expected Market Return (E(Rm)): Based on historical data, you expect the overall stock market to return 10% annually.
  1. Now, let us use the CAPM formula to calculate the expected return on the company's stock, which is also the cost of equity for the company.
  2. E(Ra) = Rf + βa * [E(Rm) – Rf]
  3. E(Ra) = 3% + 1.2 × (10% − 3%)
Nov 15, 2023

How do you calculate return on equity? ›

Return on equity (ROE) is a measure of a company's financial performance. It is calculated by dividing net income by shareholders' equity. Because shareholders' equity is equal to a company's assets minus its debt, ROE is a way of showing a company's return on net assets.

What is the equity cost of capital? ›

Cost of equity and cost of capital are two useful metrics for determining how easy it is for a company to raise the funds it needs to expand and do business. The cost of equity refers to the cost of raising money by selling shares, while the cost of capital also includes the cost of borrowing.

How to calculate cost of equity using CAPM? ›

Conversely, the capital asset pricing model (CAPM) evaluates if an investment is fairly valued, given its risk and time value of money in relation to its anticipated return. Under this model, Cost of Equity = Risk-Free Rate of Return + Beta × (Market Rate of Return – Risk-Free Rate of Return).

What are the two ways to calculate the cost of equity? ›

There are two commonly used models for calculating the cost of equity: the CAPM or capital asset pricing model and the dividend capitalization model. Both models can provide insight into the expected return on an equity investment but are only estimations. The CAPM is the most widely used formula.

Should I use WACC or cost of equity? ›

Cost of Equity vs WACC

Cost of equity can be used to determine the relative cost of an investment if the firm doesn't possess debt (i.e., the firm only raises money through issuing stock). The WACC is used instead for a firm with debt.

How do you calculate cost to equity ratio? ›

Cost-equity ratio: The cost-equity ratio (or “break even percentage”) measures how expensive the account's trading strategy was. To calculate the cost-equity ratio, divide the total annual costs (including commissions and margin interests) by the account's average balance.

What is the formula for calculating equity? ›

The balance sheet provides the values needed in the equity equation: Total Equity = Total Assets - Total Liabilities. Where: Total assets are all that a business or a company owns.

What is the formula for equity risk premium in CAPM? ›

To calculate the equity risk premium, we can begin with the capital asset pricing model (CAPM), which is usually written as Ra = Rf + βa (Rm - Rf), where: Ra = expected return on investment in a or an equity investment of some kind. Rf = risk-free rate of return. βa = beta of a.

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