The cost of equity is the return a company requires to decide if an investment meets capital return requirements. Firms often use it as a capital budgeting threshold for the required rate of return. A firm’s cost of equity represents the compensation the market demands in exchange for owning the asset and bearing the risk of ownership. The traditional formula for the cost of equity is the dividend capitalization model and the capital asset pricing model (CAPM).

#### Cost of Equity

Using the dividend capitalization model, the cost of equity is:

Cost of Equity

=

DPS

CMV

+

GRD

where:

DPS

=

dividends per share, for next year

CMV

=

current market value of stock

GRD

=

growth rate of dividends

begin{aligned} &text{Cost of Equity} = frac { text{DPS} }{ text{CMV} } + text{GRD} \ &textbf{where:} \ &text{DPS} = text{dividends per share, for next year} \ &text{CMV} = text{current market value of stock} \ &text{GRD} = text{growth rate of dividends} \ end{aligned}

Cost of Equity=CMVDPS+GRDwhere:DPS=dividends per share, for next yearCMV=current market value of stockGRD=growth rate of dividends

The cost of equity refers to two separate concepts depending on the party involved. If you are the investor, the cost of equity is the rate of return required on an investment in equity. If you are the company, the cost of equity determines the required rate of return on a particular project or investment.

There are two ways a company can raise capital: debt or equity. Debt is cheaper, but the company must pay it back. Equity does not need to be repaid, but it generally costs more than debt capital due to the tax advantages of interest payments. Since the cost of equity is higher than debt, it generally provides a higher rate of return.

The formula used to calculate the cost of equity is either the dividend capitalization model or the capital asset pricing model.

The downfall of the dividend capitalization model, although it is simpler and easier to calculate, is that it requires that the company pays a dividend.

The cost of capital, generally calculated using the weighted average cost of capital, includes both the cost of equity and cost of debt.

The dividend capitalization model can be used to calculate the cost of equity, but it requires that a company pays dividends. The calculation is based on future dividends. The theory behind the equation is the company’s obligation to pay dividends is the cost of paying shareholders and therefore the cost of equity. This is a limited model in its interpretation of costs.

The capital asset pricing model, however, can be used on any stock, even if the company does not pay dividends. That said, the theory behind CAPM is more complicated. The theory suggests the cost of equity is based on the stock’s volatility and level of risk compared to the general market.

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

In this equation, the risk-free rate is the rate of return paid on risk-free investments such as Treasuries. Beta is a measure of risk calculated as a regression on the company’s stock price. The higher the volatility, the higher the beta and relative risk compared to the general market. The market rate of return is the average market rate, which has generally been assumed to be roughly 10% over the past 80 years. In general, a company with a high beta, that is, a company with a high degree of risk will have a higher cost of equity.

The cost of equity can mean two different things, depending on who’s using it. Investors use it as a benchmark for an equity investment, while companies use it for projects or related investments.

The cost of capital is the total cost of raising capital, taking into account both the cost of equity and the cost of debt. A stable, well-performing company, will generally have a lower cost of capital. To calculate the cost of capital, the cost of equity and cost of debt must be weighted and then added together. The cost of capital is generally calculated using the weighted average cost of capital.

The cost of equity is the return that a company must realize in exchange for a given investment or project. When a company decides whether it takes on a new financing, for instance, the cost of equity determines the return the company must achieve in order to warrant the new initiative. Companies typically undergo two ways to raise funds, either through debt or equity. Each have differing costs and rates of return.

There are two primary ways to calculate cost of equity. The dividend capitalization model takes dividends per share (DPS) for the next year dividend by the current market value (CMV) of the stock, and adds this number to the growth rate of dividends (GRD), where Cost of Equity = DPS / CMV + GRD.

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).

Consider company A trades on the S&P 500 at a 10% rate of return. Meanwhile, it has a beta of 1.1, expressing marginally more volatility that the market. Presently, the T-bill (risk free rate) is 1%. Using the capital asset pricing model (CAPM) to determine its cost of equity financing, you would apply Cost of Equity= Risk-Free Rate of Return + Beta * (Market Rate of Return – Risk-Free Rate of Return) to reach 1 + 1.1 * (10-1) = 10.9%.