# Cost of Capital Definition: Formula & Calculation

**Cost of Capital Definition: Formula & Calculation**Táº¡i

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## What Is Cost of Capital?

Cost of capital is the required return necessary to make a capital budgeting project, such as building a new factory, worthwhile. When analysts and investors discuss the cost of capital, they typically mean the weighted average of a firm’s cost of debt and cost of equity blended together.

The cost of capital metric is used by companies internally to judge whether a capital project is worth the expenditure of resources,Â and by investors who use it to determine whether an investment is worth the risk compared to the return.Â The cost of capital depends on the mode of financing used. It refers to the cost of equity if the business is financed solely through equity, or to the cost of debt if it is financed solely through debt.

Many companies use a combination of debt and equity to finance their businessesÂ and, for such companies, theÂ overall cost of capital is derived from the weighted average cost of all capital sources, widely known as the weighted average cost of capital (WACC).

### Key Takeaways

- Cost of capital represents the return a company needs in order to take on a capital project, such as purchasing new equipment or constructing a new building.
- Cost of capital typically encompasses the cost of both equity and debt, weighted according to the company’s preferred or existing capital structure, known as the weighted average cost of capital (WACC).
- A company’s investment decisions for new projects should always generate a return that exceeds the firm’s cost of the capital used to finance the project; otherwise, the project will not generate a return for investors.

## Understanding Cost of Capital

Cost of capital represents a hurdle rate that a company must overcome before it can generate value, and it is used extensively in the capital budgeting process to determine whether a company should proceed with a project.

The cost of capital concept is also widely used in economics and accounting. Another wayÂ to describe the cost of capitalÂ isÂ the opportunity cost of making an investment in a business. Wise company management will only invest in initiatives and projects that will provide returns that exceed the cost of their capital.

Cost of capital, from the perspective of an investor, is the return expected by whoever is providing the capital for a business. In other words, it is an assessment of the risk of a company’s equity. In doing this, an investor may look at the volatility (beta) of a company’s financial results to determine whether a certain stock is too risky or would make a good investment.

## Weighted Average Cost of Capital (WACC)

A firm’s cost of capital is typically calculated using the weighted average cost of capital formula that considers the cost of both debt and equity capital. Each category of the firm’s capital is weighted proportionately to arrive at a blended rate, and the formula considers every type of debt and equity on the company’s balance sheet, including common and preferred stock, bonds, and other forms of debt.

### Finding the Cost of Debt

Every company has to chart out its financing strategy at an early stage. The cost of capital becomes a critical factor in deciding which financing track to follow: debt, equity, or a combination of the two.

Early-stage companies seldom have sizable assets to pledge as collateral for debt financing, so equity financing becomes the default mode of funding for most of them. Less-established companies with limited operating histories will pay a higher cost for capital than older companies withÂ solid track records since lenders and investors will demand a higher risk premium for the former.

The cost of debt is merely the interest rate paid by the company on its debt. However, since interest expense is tax-deductible, the debt is calculated on an after-tax basis as follows:

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$\begin{array}{cc}& \text{Cost\xc2of\xc2debt = Interest\xc2expense Total\xc2debt \xc3\u2014 ( 1 \xe2\u02c6\u2019 T ) where: Interest\xc2expense = Int.\xc2paid\xc2on\xc2the\xc2firm\xe2\u20ac\u2122s\xc2current\xc2debt T = The\xc2company\xe2\u20ac\u2122s\xc2marginal\xc2tax\xc2rate}\end{array}$begin{aligned} &text{Cost of debt}=frac{text{Interest expense}}{text{Total debt}} times (1 – T) \ &textbf{where:}\ &text{Interest expense}=text{Int. paid on the firm’s current debt}\ &T=text{The companyâ€™s marginal tax rate}\ end{aligned}

â€‹CostÂ ofÂ debt=TotalÂ debtInterestÂ expenseâ€‹Ã—(1âˆ’T)where:InterestÂ expense=Int.Â paidÂ onÂ theÂ firmâ€™sÂ currentÂ debtT=TheÂ companyâ€™sÂ marginalÂ taxÂ rateâ€‹ï»¿

The cost of debt can also be estimated by adding a credit spread to the risk-free rate and multiplying the result by (1 – T).

### Finding the Cost of Equity

The cost of equity is more complicated since the rate of return demanded by equity investors is not as clearly defined as it is by lenders. The cost of equity is approximated by the capital asset pricing model as follows:

$\begin{array}{cc}& \mathrm{C\mathrm{A\mathrm{P\mathrm{M(\text{Cost\xc2of\xc2equity ) = R f + \xce\xb2 ( R m \xe2\u02c6\u2019 R f ) where: R f = risk-free\xc2rate\xc2of\xc2return R m = market\xc2rate\xc2of\xc2return}}}}}\end{array}$

begin{aligned} &CAPM(text{Cost of equity})= R_f + beta(R_m – R_f) \ &textbf{where:}\ &R_f=text{risk-free rate of return}\ &R_m=text{market rate of return}\ end{aligned}

â€‹CAPM(CostÂ ofÂ equity)=Rfâ€‹+Î²(Rmâ€‹âˆ’Rfâ€‹)where:Rfâ€‹=risk-freeÂ rateÂ ofÂ returnRmâ€‹=marketÂ rateÂ ofÂ returnâ€‹

Beta is used in the CAPM formula to estimate risk, and the formula would require a public company’s own stock beta. For private companies, a beta is estimated based on the average beta of a group of similar, public firms. Analysts may refine this beta by calculating it on an unlevered, after-tax basis. The assumption is that a private firm’s beta will become the same as the industry average beta.

The firmâ€™s overall cost of capital is based on the weighted average of these costs. For example, consider an enterprise with a capital structure consisting of 70% equity and 30% debt; its cost of equity is 10% and the after-tax cost of debt is 7%.

Therefore, its WACC would be:

$(\mathrm{0.7\xc3\u2014\mathrm{10\mathrm{\%)+(\mathrm{0.3\xc3\u2014\mathrm{7\mathrm{\%)=\mathrm{9.1\%}}}}}}}$

(0.7 times 10%) + (0.3 times 7%) = 9.1%

(.7Ã—1%)+(.3Ã—7%)=9.1%

This is the cost of capital that would be used to discount future cash flows from potential projects and other opportunities to estimate their net present value (NPV) and the ability to generate value.

Companies strive to attain the optimal financing mixÂ based on the cost of capital for various funding sources. Debt financing has the advantage of being more tax-efficient than equity financing since interest expenses are tax-deductible and dividends on common shares are paid with after-tax dollars. However, too much debt can result in dangerously high leverage, resulting in higher interest rates sought by lenders to offset the higher default risk.

## Cost of Capital and Tax Considerations

One element to consider in deciding to finance capital projects via equity or debt is the possibility of any tax savings from taking on debt since the interest expense can lower a firm’s taxable income, and thus, its income tax liability.

However, the Modigliani-Miller Theorem (M&M) states that the market value of a company is independent of the way it finances itself and shows that under certain assumptions, the value of leveraged versus non-leveraged firms are equal, in part because other costs offset any tax savings that come from increased debt financing.

## The Difference Between Cost of Capital and the Discount RateÂ

The cost of capital and discount rate are somewhat similarÂ and are oftenÂ used interchangeably. Cost of capital is often calculated by a company’s finance department and used by management to set a discount rate (or hurdle rate) that must be beaten to justify an investment.

That said, a company’s management should challenge its internally-generated cost of capital number, as it may be so conservative as to deter investment. Cost of capital may also differ based on the type of project or initiative; a highly innovative but risky initiative should carry a higher cost of capital than a project to update essential equipment or software with proven performance.

## Real-World Examples

Every industry has its own prevailing cost of capital. For some companies, the cost of capital is lower than their discount rate. Some finance departments may lower their discount rates to attract capital or raise it incrementally to build in a cushion depending on how much risk they are comfortable with.

As of January 2019, transportation in railroads has the highest cost of capital at 11.17%. The lowest cost of capital can be claimed by non-bank and insurance financial services companies at 2.79%. The cost of capital is also high among both biotech and pharmaceutical drug companies, steel manufacturers, Internet (software) companies,Â and integrated oil and gas companies. Those industries tend to requireÂ significant capital investment in research, development, equipment, and factories.

Among the industries with lower capital costs are money center banks, power companies, real estate investment trusts (REITs), retail grocery and food companies, and utilities (both general and water). Such companies may require less equipment or benefit from very steady cash flows.

## Cost of Capital FAQs

### What Is Cost of Capital?

The cost of capital is used to determine the necessary return a company must generate before moving forward on a capital project. Typically, a decision is prudent if a company invests in a project that generates more value than the cost of capital. For investors, cost of capital is calculated as the weighted average cost of debt and equity of a company. In this case, cost of capital is one method of analyzing a firm’s risk-return profile.Â

### How Do You Calculate Cost of Capital?

To calculate the weighted average cost of capital, all forms of debt and equity are considered. As a result, the weighted average cost arrives at a blended rate. Broadly speaking, to calculate the cost of debt, take the amount of interest paid by a company on its debt and divide that by its total debt. Meanwhile, to calculate the cost of equity, investors use a capital asset pricing model, which arrives at an approximate value. This is calculated by taking the risk-free rate of return, which is then added to the value of beta multiplied by the market rate of return minus the risk-free rate of return.Â

### What Is an Example of Cost of Capital?

Consider a startup that has a capital structure of 90% equity and 10% debt. The cost of equity, or the return that a company pays its shareholders for investing in the firm, is 5%. Meanwhile, the cost of debt that it pays its creditors is 15%. The cost of capital would be calculated as follows: (.9 xÂ 5%) + (.10 x 15%) = 6%.

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