Calculate Wacc Using Capm

Calculate WACC using CAPM

Enter the required values to calculate the Weighted Average Cost of Capital (WACC) using the Capital Asset Pricing Model (CAPM) for the cost of equity.

Component	Value Used	Unit
Risk-Free Rate (Rf)	2.5	%
Expected Market Return (Rm)	8.0	%
Beta (β)	1.2
Cost of Debt (Kd)	5.0	%
Tax Rate	21.0	%
Market Value of Equity (E)	70,000,000	Currency
Market Value of Debt (D)	30,000,000	Currency

Input values used for WACC calculation.

What is WACC using CAPM?

The Weighted Average Cost of Capital (WACC) represents a company’s average after-tax cost of its various capital sources (equity, debt, and preferred stock), weighted by their respective proportions in the capital structure. To calculate WACC using CAPM, we specifically use the Capital Asset Pricing Model (CAPM) to determine the cost of equity (Ke), which is one of the key components of the WACC formula.

Essentially, WACC is the minimum return a company needs to earn on its existing asset base to satisfy its creditors, owners, and other providers of capital, or they will invest elsewhere. When you calculate WACC using CAPM, you are incorporating the systematic risk of the company’s equity (via Beta) into the cost of equity calculation, providing a more market-based estimate.

It is widely used in financial modeling, valuation (especially in Discounted Cash Flow – DCF analysis), and capital budgeting decisions. Investors use it to assess the riskiness of investing in a company, and companies use it as a hurdle rate for new projects.

Common misconceptions include thinking WACC is solely the cost of borrowing or that CAPM is the only way to find the cost of equity (though it’s very common).

WACC and CAPM Formula and Mathematical Explanation

The formula to calculate WACC using CAPM involves two main parts: the CAPM formula for the cost of equity (Ke) and the WACC formula itself.

1. CAPM Formula (Cost of Equity):

Ke = Rf + β * (Rm - Rf)

• Ke = Cost of Equity
• Rf = Risk-Free Rate
• β = Beta of the asset/company
• Rm = Expected Market Return
• (Rm - Rf) = Market Risk Premium

2. WACC Formula:

Assuming only debt and equity financing for simplicity:

WACC = (We * Ke) + (Wd * Kd * (1 - t))

• We = Weight of Equity = E / (E + D)
• Wd = Weight of Debt = D / (E + D)
• E = Market Value of Equity
• D = Market Value of Debt
• Ke = Cost of Equity (calculated using CAPM)
• Kd = Cost of Debt (pre-tax)
• t = Corporate Tax Rate

So, to calculate WACC using CAPM, you first calculate Ke using the CAPM inputs and then plug that into the WACC formula along with the costs and weights of debt and equity.

Variables Table:

Variable	Meaning	Unit	Typical Range
Rf	Risk-Free Rate	%	0.5% – 5% (depends on government bond yields)
Rm	Expected Market Return	%	5% – 12% (historical or forward-looking)
β	Beta	Unitless	0.5 – 2.5 (1 is market average)
Kd	Cost of Debt (Pre-tax)	%	3% – 10% (depends on credit rating)
t	Corporate Tax Rate	%	15% – 35% (varies by jurisdiction)
E	Market Value of Equity	Currency	Varies greatly
D	Market Value of Debt	Currency	Varies greatly
Ke	Cost of Equity	%	Calculated
WACC	Weighted Average Cost of Capital	%	Calculated

Practical Examples (Real-World Use Cases)

Let’s see how to calculate WACC using CAPM with a couple of examples.

Example 1: Tech Company

A tech company has the following details:

• Risk-Free Rate (Rf): 2.0%
• Expected Market Return (Rm): 9.0%
• Beta (β): 1.4
• Cost of Debt (Kd): 4.5%
• Tax Rate (t): 25%
• Market Value of Equity (E): $150 million
• Market Value of Debt (D): $50 million

1. Calculate Ke using CAPM: Ke = 2.0% + 1.4 * (9.0% – 2.0%) = 2.0% + 1.4 * 7.0% = 2.0% + 9.8% = 11.8%

2. Calculate Total Capital (V): V = $150m + $50m = $200m

3. Calculate Weights: We = $150m / $200m = 0.75 (75%), Wd = $50m / $200m = 0.25 (25%)

4. Calculate After-tax Cost of Debt: Kd(1-t) = 4.5% * (1 – 0.25) = 4.5% * 0.75 = 3.375%

5. Calculate WACC: WACC = (0.75 * 11.8%) + (0.25 * 3.375%) = 8.85% + 0.84375% = 9.69375% ≈ 9.69%

The WACC for this tech company is approximately 9.69%. This is the minimum return it should aim for on its projects.

Example 2: Utility Company

A utility company has the following details:

• Risk-Free Rate (Rf): 3.0%
• Expected Market Return (Rm): 7.5%
• Beta (β): 0.8
• Cost of Debt (Kd): 6.0%
• Tax Rate (t): 20%
• Market Value of Equity (E): $300 million
• Market Value of Debt (D): $200 million

1. Calculate Ke using CAPM: Ke = 3.0% + 0.8 * (7.5% – 3.0%) = 3.0% + 0.8 * 4.5% = 3.0% + 3.6% = 6.6%

2. Calculate Total Capital (V): V = $300m + $200m = $500m

3. Calculate Weights: We = $300m / $500m = 0.60 (60%), Wd = $200m / $500m = 0.40 (40%)

4. Calculate After-tax Cost of Debt: Kd(1-t) = 6.0% * (1 – 0.20) = 6.0% * 0.80 = 4.8%

5. Calculate WACC: WACC = (0.60 * 6.6%) + (0.40 * 4.8%) = 3.96% + 1.92% = 5.88%

The WACC for the utility company is 5.88%, lower than the tech company, reflecting its lower risk (Beta < 1) and different capital structure. You can learn more about Cost of Capital here.

How to Use This WACC using CAPM Calculator

Our calculator simplifies the process to calculate WACC using CAPM.

1. Enter Risk-Free Rate (Rf): Input the current yield on long-term government bonds (e.g., 10-year Treasury yield) as a percentage.
2. Enter Expected Market Return (Rm): Input the expected return of the broad market (e.g., S&P 500) as a percentage.
3. Enter Beta (β): Input the company’s beta, which measures its volatility relative to the market.
4. Enter Cost of Debt (Kd): Input the company’s pre-tax cost of debt, usually the yield on its bonds, as a percentage.
5. Enter Tax Rate: Input the company’s effective corporate tax rate as a percentage.
6. Enter Market Value of Equity (E): Input the total market value of the company’s shares.
7. Enter Market Value of Debt (D): Input the total market value of the company’s debt.
8. View Results: The calculator automatically updates the WACC, Cost of Equity (Ke), After-tax Cost of Debt, weights, and total capital as you enter the values.
9. Interpret: The primary result is the WACC, shown as a percentage. This is the company’s blended cost of capital.
10. Chart and Table: The chart visualizes the capital structure and cost contributions. The table summarizes your inputs.

The WACC figure is crucial for Valuation Methods like DCF, where it’s used as the discount rate.

Key Factors That Affect WACC Results

Several factors can influence the outcome when you calculate WACC using CAPM:

• Risk-Free Rate (Rf): Higher government bond yields increase Rf, directly increasing Ke and thus WACC.
• Market Risk Premium (Rm – Rf): A higher expected market return or lower risk-free rate increases the premium, raising Ke for a given Beta, and thus WACC.
• Beta (β): A higher Beta (more systematic risk) leads to a higher Ke and WACC. Beta is often derived from historical stock price volatility or industry comparables. Check our Beta Calculation guide.
• Cost of Debt (Kd): Higher borrowing costs for the company increase Kd and WACC, although the tax shield mitigates this partially.
• Tax Rate (t): A higher tax rate reduces the after-tax cost of debt, lowering WACC.
• Capital Structure (E and D): The relative proportions of equity and debt (We and Wd) significantly impact WACC. More debt (if cheaper after-tax) can lower WACC up to a point, beyond which financial distress risk increases Kd and Ke.
• Market Conditions: General economic conditions influence interest rates (Rf, Kd) and market returns (Rm).

Understanding these factors is crucial for accurately interpreting the WACC and for Financial Modeling.

Frequently Asked Questions (FAQ)

Q1: What is a “good” WACC?

A “good” WACC is relative. Lower is generally better, as it means the company can raise capital more cheaply. However, it depends on the industry, risk profile, and market conditions. Comparing a company’s WACC to its industry average is more meaningful.

Q2: Why use market values for E and D instead of book values?

Market values reflect the current cost of raising capital and the current value investors place on the company’s equity and debt. Book values are historical and may not represent the true economic values.

Q3: How do I find the Risk-Free Rate?

The yield on long-term government bonds (e.g., 10-year or 20-year U.S. Treasury bonds) in the currency of the cash flows being valued is typically used as the risk-free rate.

Q4: How do I estimate the Expected Market Return?

It can be based on historical average returns of a broad market index (like the S&P 500), adjusted for current market conditions, or derived from forward-looking models.

Q5: Where can I find a company’s Beta?

Financial data providers like Bloomberg, Reuters, Yahoo Finance, and specialized services often publish betas for publicly traded companies.

Q6: Can WACC be used for project valuation?

Yes, WACC is often used as the discount rate for projects with similar risk profiles to the company as a whole. For projects with different risk, an adjusted discount rate might be more appropriate. See our guide on Discounted Cash Flow.

Q7: What if a company has preferred stock?

If a company has preferred stock, the WACC formula is expanded to include a term for the cost and weight of preferred stock: WACC = (We * Ke) + (Wd * Kd * (1 – t)) + (Wp * Kp), where Wp is the weight of preferred stock and Kp is its cost.

Q8: Does WACC change over time?

Yes, WACC changes as its components (interest rates, market returns, beta, capital structure, tax rates) change.