# Unlevered Cost of Capital: Definition, Formula, and Calculation

## What Is Unlevered Cost of Capital?

Unlevered cost of capital is an analysis using either a hypothetical or an actual debt-free scenario to measure a company's cost to implement a particular capital project (and in some cases used to assess an entire company). Unlevered cost of capital compares the cost of capital of the project using zero debt as an alternative to a levered cost of capital investment, which means using debt as a portion of the total capital required.

### Key Takeaways

• Unlevered cost of capital is an analysis using either a hypothetical or an actual debt-free scenario to measure a company's cost to implement a particular capital project.
• Unlevered cost of capital compares the cost of capital of the project using zero debt as an alternative to a levered cost of capital investment.
• The unlevered cost of capital is generally higher than the levered cost of capital because the cost of debt is lower than the cost of equity.
• Several factors are necessary to calculate the unlevered cost of capital, which includes unlevered beta, market risk premium, and the risk-free rate of return.
• If a company fails to meet the anticipated unlevered returns, investors may reject the investment.
• In general, if an investor believes a stock is high-risk, it will typically be because it has a higher unlevered cost of capital, other aspects being constant.

## Understanding Unlevered Cost of Capital

When a company needs to raise capital for expansion or other reasons it has two options: (1) debt financing, which is to borrow money through loans or bond issuances, or (2) equity financing, which is the issuance of stock

The unlevered cost of capital is generally higher than the levered cost of capital because the cost of debt is lower than the cost of equity. Borrowing money is cheaper than selling equity in the company. This is true given the tax benefit related to the interest expense paid on the debt. There are costs associated with levered projects including underwriting costs, brokerage fees, and coupon payments, however.

Nevertheless, over the life of the capital project or the firm's ongoing business operations, these costs are marginal compared to the benefits from the lower cost of debt compared to the cost of equity.

### Important

The unlevered cost of capital can be used to determine the cost of a particular project, separating it from procurement costs.

The unlevered cost of capital represents the cost of a company financing the project itself without incurring debt. It provides an implied rate of return, which helps investors make informed decisions on whether to invest. If a company fails to meet the anticipated unlevered returns, investors may reject the investment. In general, if an investor believes a stock is a high risk, it will typically be because it has a higher unlevered cost of capital, other aspects being constant.

The weighted average cost of capital (WACC) is another formula that investors and companies use to determine whether an investment is worth the cost. WACC takes into consideration the entire capital structure of a firm, which includes common stock, preferred stock, bonds, and any other long-term debt.

## Formula and Calculation of Unlevered Cost of Capital

Several factors are necessary to calculate the unlevered cost of capital, which includes unlevered beta, market risk premium, and the risk-free rate of return. This calculation can be used as a standard for measuring the soundness of the investment.

The unlevered beta represents an investment's volatility as compared to the market. The unlevered beta, also known as asset beta, is determined by comparing the company to similar companies with known levered betas, often by using an average of multiple betas to derive an estimate. The calculation of market risk premium is the difference between expected market returns and the risk-free rate of return.

Once all variables are known, the unlevered cost of capital can be calculated with the formula:

Unlevered Cost of Capital = Risk-Free Rate + Unlevered Beta (Market Risk Premium)

If the result of the calculation produces an unlevered cost of capital of 10%, and the company's return falls below that amount, then it may not be a wise investment. Comparison of the result to the current cost of company-held debt can determine the actual returns.