Welcome to the World of WACC!
Hello there! Today, we are diving into one of the most important concepts in the CB1 curriculum: the Weighted Average Cost of Capital (WACC). This chapter is a crucial part of the "Evaluating projects" section. Think of WACC as the "price tag" a company pays to get the money it needs to grow. If you understand how much the money costs, you can decide if a new project is worth the investment.
Don't worry if this seems a bit math-heavy at first. We’ll break it down step-by-step, using simple analogies to make sure everything clicks!
1. What exactly is WACC?
Imagine you want to buy a car for £10,000. You have £4,000 in savings (that’s your Equity), and you borrow £6,000 from the bank (that’s your Debt). Your savings "cost" you the interest you could have earned in a bank, and your loan has an interest rate. The WACC is simply the average of those two "costs," weighted by how much of each you used.
In business, companies raise money from two main sources:
1. Equity (from shareholders)
2. Debt (loans or bonds)
The WACC tells us the average rate the company pays to its investors (both debt-holders and shareholders) to use their money. In the context of evaluating projects, the WACC is often used as the discount rate. If a project's return is higher than the WACC, it's usually a "Go!"
Key Takeaway:
WACC represents the minimum return a company must earn on its existing asset base to satisfy its creditors, owners, and other providers of capital.
2. The WACC Formula
Here is the standard formula you will need to master:
\( WACC = \left( \frac{E}{V} \times r_e \right) + \left( \frac{D}{V} \times r_d \times (1 - t) \right) \)
Let's define these terms clearly:
- \( E \) = Market value of the company's Equity
- \( D \) = Market value of the company's Debt
- \( V \) = Total value of the company (\( E + D \))
- \( r_e \) = Cost of Equity
- \( r_d \) = Cost of Debt (before tax)
- \( t \) = Corporate Tax rate
Quick Review:
Why do we multiply the debt part by \( (1 - t) \)? This is because interest payments are tax-deductible. The government essentially "pays" part of the interest for the company by reducing its tax bill. This makes debt cheaper than it looks!
3. Step 1: Finding the Weights (E/V and D/V)
The most important rule here is: Always use Market Values, not Book Values!
The "Book Value" is just what is written in the old accounting ledgers. The "Market Value" is what the items are worth in the real world today.
- Market Value of Equity (E): \( \text{Number of shares} \times \text{Current share price} \)
- Market Value of Debt (D): This is the current trading price of the company's bonds/loans. If the debt isn't traded, we sometimes use the book value as a fallback, but market value is always the goal.
4. Step 2: Calculating the Cost of Equity (\( r_e \))
Shareholders take more risk than lenders, so they usually demand a higher return. There are two main ways to calculate this in CB1:
A. The Capital Asset Pricing Model (CAPM)
This is the most common method. It assumes investors need to be compensated for the Time Value of Money and Risk.
\( r_e = r_f + \beta (r_m - r_f) \)
- \( r_f \): Risk-free rate (usually government bond yields)
- \( \beta \): Beta (measures how risky the company is compared to the market)
- \( (r_m - r_f) \): The Equity Risk Premium (the extra return expected for taking on stock market risk)
B. The Dividend Growth Model
If you know the dividends, you can use this:
\( r_e = \frac{D_1}{P_0} + g \)
Where \( D_1 \) is next year's dividend, \( P_0 \) is the current share price, and \( g \) is the growth rate.
5. Step 3: Calculating the Cost of Debt (\( r_d \))
The cost of debt is the interest rate the company pays.
- If the company has Irredeemable Debt (it never pays the principal back), the cost is: \( r_d = \frac{\text{Annual Interest}}{\text{Market Price of Bond}} \).
- For Redeemable Debt, you might need to calculate the Internal Rate of Return (IRR) of the bond's cash flows.
Common Mistake: Don't forget the tax! Always remember that the actual cost to the company is \( r_d \times (1 - t) \). Debt is usually the cheapest form of finance because of this "tax shield."
6. Putting it all together: A Step-by-Step Guide
If you see a WACC question in your exam, follow these steps:
1. Find the Market Value of Equity: Price per share \( \times \) number of shares.
2. Find the Market Value of Debt: Current price of bonds.
3. Calculate the Cost of Equity: Usually via CAPM.
4. Calculate the Cost of Debt: Interest rate (and check if it’s pre-tax).
5. Identify the Tax Rate: Usually given as a percentage.
6. Plug everything into the WACC formula.
Did you know?
WACC is often called a "Hurdle Rate." Just like a horse jumping over a hurdle, a project must "jump" over the WACC (earn more than the WACC) to be considered successful.
7. Limitations and Considerations
While WACC is great, it has some "rules of use" when evaluating projects:
- Risk Profile: Only use the company’s WACC if the new project has the same risk as the company’s current business. If a grocery store decides to start building spaceships, its current WACC might be too low because spaceships are much riskier than selling apples!
- Capital Structure: We assume the company will keep its mix of debt and equity roughly the same in the future.
Summary: Quick Review Box
- WACC is the average cost of all sources of capital.
- Always use Market Values for weights.
- Cost of Debt must be adjusted for tax: \( r_d(1-t) \).
- Cost of Equity is usually found using CAPM.
- WACC = Discount Rate for projects with the same risk as the firm.
You've got this! WACC is just a weighted average. Once you find the individual pieces (E, D, \( r_e \), \( r_d \), and \( t \)), the rest is just simple arithmetic. Keep practicing those CAPM and Market Value calculations!