Weighted average cost of capital (WACC)

F2 – Advanced Financial Reporting · CIMA (CGMA Professional Qualification) · 6 min read

Welcome to the World of WACC!

Hello there! Today, we are diving into one of the most important concepts in the F2 – Advanced Financial Reporting syllabus: the Weighted Average Cost of Capital (WACC). This topic sits right at the heart of "Financing Capital Projects."

Think of WACC as the "price tag" a company pays for the money it uses to run its business. Just like you might pay interest on a car loan or a mortgage, companies pay a cost for their funding. Because companies get money from different places (like shareholders and banks), we need a way to find the average cost of all that money combined. Don't worry if this seems a bit math-heavy at first—we will break it down into simple, bite-sized steps!

What is WACC and Why Does It Matter?

Every company needs capital (money) to buy assets and fund projects. This money usually comes from two main "buckets":

1. Equity: Money from shareholders (expensive because it's risky for them).
2. Debt: Money from lenders/banks (cheaper because it's less risky and has tax benefits).

WACC is simply the average of these costs, weighted by how much of each source the company uses. We use WACC as a "hurdle rate." If a new project doesn't earn a return higher than the WACC, the company is actually losing value!

Quick Analogy: Imagine you are buying a coffee shop. You borrow half the money from your mom at 2% interest and the other half from a bank at 6% interest. Your "average" cost of money isn't 6% or 2%—it's 4%. That’s exactly what WACC does for giant corporations!

Key Takeaway: WACC represents the minimum return a company must earn on its existing assets to satisfy its creditors and shareholders.

The WACC Formula: Don't Panic!

Here is the standard formula you will see in your exam:

$ WACC = \left( K_e \times \frac{V_e}{V_e + V_d} \right) + \left( K_d(1-t) \times \frac{V_d}{V_e + V_d} \right) $

Let's unlock what these symbols mean:

$ K_e $: Cost of Equity
$ K_d $: Cost of Debt (before tax)
$ V_e $: Market Value of Equity
$ V_d $: Market Value of Debt
$ t $: Corporate Tax Rate

Important Tip: Always remember the tax shield on debt! Governments usually let companies deduct interest payments from their taxable income. This makes debt even cheaper than it looks. That’s why we multiply $ K_d $ by $ (1 - t) $.

Step 1: Calculating the Cost of Equity ($ K_e $)

In F2, you usually find the Cost of Equity using the Capital Asset Pricing Model (CAPM). Shareholders want a return that compensates them for the risk they are taking.

The formula for CAPM is:
$ K_e = R_f + \beta(E_m - R_f) $

1. $ R_f $ (Risk-free rate): What you’d earn on a totally safe investment, like government bonds.
2. $ \beta $ (Beta): A measure of how much the company’s share price "wiggles" compared to the whole market.
3. $ (E_m - R_f) $ (Equity Risk Premium): The extra return investors demand for taking the risk of the stock market instead of staying safe.

Memory Aid: Think of Beta ($ \beta $) as the "Volatility Volume Knob." If $ \beta $ is 1.0, the company moves exactly with the market. If it's 2.0, it's twice as "loud" (risky)!

Step 2: Calculating the Cost of Debt ($ K_d $)

The cost of debt is the interest rate the company pays. However, because of tax, the effective cost is lower.

Example: If a company borrows at 10% interest ($ K_d $) and the tax rate is 20%, the real cost is:
$ 10\% \times (1 - 0.20) = 8\% $.

Wait! What if the debt is "Irredeemable" or "Redeemable"?
- Irredeemable: The company pays interest forever. Use $ K_d = \frac{Interest}{Market Value} $.
- Redeemable: The company pays interest for a few years and then pays the loan back. You may need to use Internal Rate of Return (IRR) techniques to find the cost of redeemable debt, but for WACC, ensure you apply the tax saving to the interest payments!

Step 3: Finding Market Values ($ V_e $ and $ V_d $)

This is where many students trip up. Always use Market Values, never Book Values (the numbers in the Balance Sheet/Financial Position), unless market values are impossible to find.

How to calculate Market Value of Equity ($ V_e $):
$ V_e = \text{Total number of shares} \times \text{Current share price} $

How to calculate Market Value of Debt ($ V_d $):
$ V_d = \text{Total Nominal (Par) Value} \times \left( \frac{\text{Market Price per \$100 bond}}{100} \right) $

Did you know? We use market values because they represent what the capital is actually worth today. Book values are just "historical" records and don't reflect the current cost of replacing that capital.

A Step-by-Step Guide to Solving a WACC Problem

If you see a WACC question in your exam, follow this "recipe" to stay organized:

1. Find $ V_e $: Multiply shares by the share price.
2. Find $ V_d $: Multiply the nominal value of debt by its market price.
3. Find $ K_e $: Use the CAPM formula (or Dividend Valuation Model if provided).
4. Find $ K_d $: Identify the pre-tax cost of debt.
5. Apply Tax: Multiply $ K_d $ by $ (1 - \text{tax rate}) $.
6. Plug and Play: Put all the numbers into the WACC formula.

Common Mistake to Avoid: Don't apply tax to the Cost of Equity ($ K_e $). Dividends are paid after tax, so there is no tax shield for equity!

When Should We Use WACC? (The Assumptions)

WACC is a powerful tool, but it only works perfectly if certain conditions are met. In the "Financing Capital Projects" context, you can only use the existing WACC to evaluate a new project if:

- Business Risk stays the same: The new project is in the same line of business as the current ones.
- Financial Risk stays the same: The way the company is funded (the debt-to-equity ratio) doesn't change significantly.
- The project is small: It doesn't radically change the size or nature of the company.

Quick Review: If a company moves into a brand-new, riskier industry, the old WACC is no longer valid. You would need to "re-gear" a beta to find a new cost of capital (but that’s a story for another chapter!).

Summary and Key Takeaways

The Essentials:

- WACC is the average cost of all financing sources.
- Equity is usually more expensive than Debt.
- Debt is made even cheaper by the Tax Shield.
- Market Values are king! Always use them over Book Values.
- CAPM is the most common way to find the Cost of Equity in F2.

Don't worry if this feels like a lot to juggle. The more you practice "plugging" the numbers into the recipe, the more natural it will feel. You've got this!

Quick check

Can you answer these now?

Open each question to check the key ideas from this chapter.

What is the Weighted Average Cost of Capital (WACC)?

WACC is the average rate a company pays to its various security holders (equity and debt) to finance its assets, weighted by the proportion of each source in the capital structure.

Why is WACC referred to as a "hurdle rate" for new projects?

WACC is the minimum return a project must earn to cover its financing costs; if a project's return is lower than the WACC, it will destroy shareholder value.

What is the standard formula for WACC?

$ WACC = \left( K_e \times \frac{V_e}{V_e + V_d} \right) + \left( K_d(1-t) \times \frac{V_d}{V_e + V_d} \right) $

Why is the cost of debt multiplied by $ (1 - t) $ in the WACC formula?

To account for the tax shield, as interest payments are tax-deductible, making the effective (post-tax) cost of debt lower than the nominal interest rate.

How is the Cost of Equity ($ K_e $) typically calculated using CAPM?

$ K_e = R_f + \beta(E_m - R_f) $

What does the Beta ($ \beta $) coefficient represent in the CAPM?

Beta measures the systematic risk of a specific security or portfolio in relation to the market as a whole.

How is the Market Value of Equity ($ V_e $) calculated?

$ V_e = \text{Total number of ordinary shares} \times \text{Current share price} $

How is the Market Value of Debt ($ V_d $) calculated when bond prices are quoted per $100?

$ V_d = \text{Total Nominal Value} \times \left( \frac{\text{Market Price per \$100 bond}}{100} \right) $

Why are market values preferred over book values when calculating WACC?

Market values represent the current cost of capital and the actual amount required to replace the financing today, whereas book values are historical costs.

Under what three conditions can the existing WACC be used to evaluate a new project?

The existing WACC is valid if the project's business risk is the same, the financial risk (gearing) remains unchanged, and the project is small relative to the company.

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