# Understanding the WACC Formula

May 3, 2023
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A metric that investors often rely on when evaluating a company's financial performance is the weighted average cost of capital (WACC). The WACC formula is an important tool for determining a company's cost of capital. Talking about the cost of capital these are the costs a company must pay to raise funds through debt and equity. Understanding the WACC formula is important because it helps investors determine whether an investment opportunity is economically viable. This article analyzes the WACC formula step by step and explains how each component is calculated and weighted. We also see in the article examples of using the formula in real-world scenarios, factors affecting WACC, and its limitation.

## What is the WACC Formula?

The WACC formula is a complex calculation that takes into account a company's cost of debt, cost of equity, and its weighted average tax rate. The formula is as follows:

WACC = (E/V x Re) + (D/V x Rd x (1-Tc))

Where:

WACC is the "weighted average cost of capital."

E is the company's equity market value

D is the company's debt market value

V is the total market value of the company (E + D)

Re is the cost of equity

Rd is the cost of debt

Tc is the company's tax rate

We can go on to look at each component of the formula above.

Cost of Equity (Re)

The cost of equity is the return required by equity investors to compensate them for the risk they are taking by investing in the company. This is calculated using the Capital Asset Pricing Model (CAPM), which takes into account the risk-free rate, the market risk premium, and the company's beta.

Re = Rf + β x (Rm - Rf)

Where:

Rf is the risk-free rate

β is the company's beta

Rm is the market return

Rf is the risk-free rate

The risk-free rate is the return rate on risk-free investments, such as U.S. Treasury bonds. The market risk premium is the additional return required by investors to compensate them for investing in the stock market instead of a risk-free investment. The beta analysis is used to assess the risk of an individual stock in comparison to the whole market.

Cost of Debt (Rd)

The cost of debt is the cost a company must pay to borrow money through debt. This is usually the interest rate the company pays on its outstanding debt. The cost of debt can be calculated using the yield to maturity of the company's outstanding debt.

Weighted Average Tax Rate (Tc)

The weighted average tax rate is the average tax rate a company pays on its income, taking into account both its federal and state taxes. The formula for calculating the weighted average tax rate is:

Tc = (T x EBT) + (T x (1-T) x (D-Int))

Where:

T is the company's tax rate

EBT is the company's earnings before taxes

D is the company's debt

It is the company's interest expense

Market Value of Equity (E) and Debt (D)

The market value of equity is the total value of all outstanding shares of a company's stock, while the market value of debt is the total value of all outstanding debt. These values can be calculated by multiplying the number of outstanding shares or outstanding debt by the market price per share or market interest rate, respectively.

Weighting the Components

Once each component of the WACC formula is calculated, it is weighted based on its proportionate contribution to the company's overall capital structure. Calculating each component's weight will be as follows:

Weight of equity = E / (E + D)

Weight of debt = D / (E + D)

Once the weight of each component is calculated, the WACC formula can be applied to determine the weighted average cost of capital. The formula multiplies the weight of each component by its cost and adds the results together:

WACC = (E/V x Re) + (D/V x Rd x (1-Tc))

Where:

E/V is the weight of equity

Re is the cost of equity

D/V is the weight of debt

Rd is the cost of debt

Tc is the weighted average tax rate

## Examples of How to Use the WACC Formula in a Real-World Scenario

Now that we've gone over the individual components of the WACC formula, let us see how it can be applied in a real-world scenario.

Example 1: XYZ Corporation

Let's say we want to calculate the WACC for XYZ Corporation. The company has a market value of \$500 million, consisting of \$400 million in equity and \$100 million in debt. The cost of equity is 10%, the cost of debt is 5%, and the company's tax rate is 30%.

The first step is calculating the weight of equity and debt:

Weight of equity = E / (E + D) = \$300 million / \$500 million = 0.6

Weight of debt = D / (E + D) = \$100 million / \$500 million = 0.2

Next, we can apply the formula to determine the WACC:

WACC = (0.6 x 0.1) + (0.2 x 0.05 x (1 - 0.3))

WACC = 0.06 + 0.007 = 0.067, or 6.7%

Therefore, the WACC for XYZ Corporation is 6.7%.

Example 2: ABC Company

Let's take another example. ABC Company has a market value of \$1 billion, consisting of \$800 million in equity and \$200 million in debt. The cost of equity is 12%, the cost of debt is 6%, and the company's tax rate is 25%.

First, we calculate the weight of equity and debt:

Weight of equity = E / (E + D) = \$800 million / \$1 billion = 0.8

Weight of debt = D / (E + D) = \$200 million / \$1 billion = 0.2

Next, we can apply the formula to determine the WACC:

WACC = (0.8 x 0.12) + (0.2 x 0.06 x (1 - 0.25))

WACC = 0.096 + 0.009 = 0.105, or 10.5%

Therefore, the WACC for ABC Company is 10.5%.

## Importance of WACC in Investment Analysis

The WACC formula is an important tool for investors because it helps them determine whether an investment opportunity is financially viable. By calculating the WACC, investors can compare the expected return on investment to the cost of capital required to fund it.

For example, if a company's WACC is 10%, an investment opportunity that yields a return of 12% would be considered financially viable. On the other hand, an investment opportunity that yields a return of only 8% would not be considered financially viable, as it does not exceed the cost of capital.

WACC can also be used to compare different investment opportunities. For example, an investor can use the WACC to compare the expected return on an investment in one company to the expected return on an investment in another company, taking into account each company's cost of capital.

## Factors affecting WACC

The weighted average cost of capital of a company can be affected by several factors. It is important to understand these factors since WACC is an important metric in determining a company's financial performance.

1. Changes in interest rates. Changes in interest rates can affect a company's WACC because the cost of debt is a significant component of the formula. If interest rates increase, for instance, the cost of debt will also increase, leading to a higher WACC. This is because the cost of debt is directly related to the interest rates that investors demand. The interest rates going up, therefore, meant that it would be more expensive for a company to borrow money. Subsequently, the cost of debt increases. Conversely, if interest rates decrease, the cost of debt will decrease, resulting in a lower WACC. Therefore, interest rates significantly impact a company's WACC and should be carefully considered when making investment decisions.
2. Changes in the company's capital structure. Changes in a company's capital structure can affect its WACC because they make the weights of each component in the formula change. For example, if a company issues more debt, the weight of debt in the WACC formula will increase, leading to a higher WACC. On the other hand, if a company issues more equity, the weight of equity will increase, resulting in a lower WACC. Changes in the capital structure can have a significant impact on a company's WACC, as the weights of each component play a crucial role in determining the overall cost of capital. Changes in the capital structure should be considered when making investment decisions.
3. Changes in the company's risk profile. Changes in a company's risk profile can affect its WACC because the cost of equity and debt is directly related to the level of risk associated with the company. If a company's risk profile increases, the cost of equity and debt will also increase, leading to a higher WACC. The decrease of a company risk profile, however, means a decrease in the cost of equity and debt, therefore, resulting in a lower WACC. It is clear that changes in a company's risk profile can impact its WACC, as it affects the cost of capital required to fund its operations.
4. Changes in the tax rate. Changes in the tax rate can affect a company's WACC because the after-tax cost of debt is a component of the formula. If the tax rate increases, the after-tax cost of debt will decrease, leading to a lower WACC. Conversely, a lower tax rate will increase after-tax borrowing costs, resulting in a higher WACC. Changes in the tax rate can thus impact a company's WACC since they affect the cost of capital required to fund its operations. Companies should pay attention to changes in tax rates when calculating the WACC.
5. Market conditions. Market conditions can affect a company's WACC, as the cost of capital and debt is affected by market factors such as supply and demand. For example, if there is a high demand for a company's stock, the cost of capital will decrease, resulting in a decrease in its WACC. On the contrary, when the demand for a company's stock decreases, the cost of the stock increases, resulting in a higher WACC. Similarly, when market interest rates rise, borrowing costs also rise, resulting in higher WACC. As such, market conditions can have a significant impact on a company's WACC, and investors should consider these factors when analyzing a company's cost of capital.

## Limitations of the WACC Formula

Although the WACC formula is a useful tool for investors, it has some limitations. One drawback of the WACC formula is that it assumes the company's capital structure to be constant, which may not always be the case. Additionally, the WACC formula relies on estimates and assumptions that can introduce errors in the calculations.

Another limitation is that the WACC formula does not take into account a company's specific circumstances, such as its industry and competitive environment. Different industries may have varying levels of risk and may require different levels of investment. Failure to consider factors such as the competitive environment means that the WACC formula is not solely sufficient to evaluate the financial performance of a firm. With these limitations in mind, investors should use the WACC formula as a starting point for their analysis but ensure that they are factoring in other factors when making investment decisions.

## Conclusion

The WACC formula is a useful tool for investors trying to determine the economic viability of investment opportunities. By calculating the weighted average cost of capital, an investor can compare the expected return on investment with the cost of capital required to raise capital. We have already seen that the WACC formula takes into account the company's tax rate and capital structure, as well as the cost of equity and debt. However, there are some limitations associated with using the WACC formula, such as assuming the company's capital structure to be constant and failing to take into account a company's specific circumstances.

If you are an investor planning to use the WACC formula to evaluate the performance of your company, you need to use the tool along with other relevant financial metrics and tools. Overall, understanding the WACC formula is an important part of investment analysis and cannot be ignored when making well-informed investment decisions.