# Weighted Average Cost of Capital (WACC)

WACC is the minimum rate of return required to create value for the firm. Investors of equity, debt, preference shares etc have sufficient reason to continue investing in the firm if it earns a return equal to or more than WACC. It can be calculated using a simple formula. Just like all the other concepts, it also has certain advantages and limitations.

## Definition

It is the weighted average of the cost of equity, preferred, debt and any other capital and the weights used for averaging are the quanta of capital supplied by respective capital. For example, assume a firm with the cost of capital of debt and equity as 6% and 15% having an equal share in capital i.e. 50:50, the weighted average cost of capital would be 10.5% (6*50% + 15*50%).

WACC is the minimum rate of return required to create value for the firm. Any project with a rate of return less than WACC will result in a reduction in stock prices of the firm. This rate works as the hurdle rate for project evaluation provided the new project is financed in the same fashion as the firm’s current mix of capital and the risk profile of new projects is similar to existing ones. ## Method to Calculate WACC using Formula

The method for calculation of the weighted average cost of capital is very simple.

1. Determine the cost of capital of equity, preference, debt and any other capital.
2. Assign the Market Value Weights by finding out the percentage of the amount of investment made by each form of capital in the total capital of the firm. (Refer: Market Value vs. Book Value WACC).
3. Multiply the weights to the respective cost of capital to find out the weighted cost.
4. Add the weighted cost of all the forms of capital to determine the weighted average of capital.

## Formula using only Debt and Equity

K = Cost of Equity Capital

D = Cost of Debt Capital

Tax% = Percentage of Tax

MVe = Market Value of Equity

MVd = Market Value of Debt

MVf = Market Value of Firm

Note: (1-Tax) is for applying the tax shield of debt and find the real cost of debt capital for the firm by eliminating the tax benefit received due to debt.

## Understand WACC with Examples

An example will serve the best understanding of calculations of WACC. Let us suppose a firm with the following capital mix. Equity, debentures and preference shares are issued at a cost of capital of 20%, 8%, and 12% respectively with a total investment amount of \$500, \$200 and \$250 respectively. Amount of capital is taken as the market value of the capital.

The weights are calculated based on the amount of capital invested by each category of capital in comparison to the total capital i.e. \$950. The equity is 53% of total capital, the debenture is 21% and the preference share capital is 26%. Weighted cost of each capital category is the multiplication of cost of capital with respective weights.

 Type of Capital Cost of Capital Amt. of Capital Weights Weighted Cost Equity Shares 20% \$500 53% 10.60% Debentures 8% \$200 21% 1.68% Preference Shares 12% \$250 26% 3.12% Total 950 15.40% (WACC)

## Types of WACC

### Marginal Weighted Average Cost of Capital

The Marginal WACC takes into consideration marginal costs of all types of capital. The reason is simple. We calculate WACC to evaluate the current projects where the old cost of capital is not important and only the cost of acquiring capital at the time of that project is relevant.

### Optimal Weighted Average Cost of Capital

Optimum WACC is the lowest cost of capital possible due to the optimum mix of capital. There are various theories for explaining the effect of the capital structure or mix on WACC. Such as Net Income Theory, Net Operating Income Theory, Traditional Theory, and Modigliani and Miller Approach.

## Conditions / Assumptions for Use of WACC as Hurdle Rate

The use of WACC for evaluating the projects assumes some conditions. One, all the projects, undertaken by the company, are of same risk profile. Second, the source and mix of financing the new projects is the same as the current capital mix of the company.

## WACC as Hurdle Rate for Project Evaluation

The main advantage of using WACC for evaluation of projects is its simplicity. The same rate can be used for all the projects which will obviate all the individual project-wise different calculations.

The main limitation of using WACC is that it does not take into consideration the floatation cost of raising the marginal capital for new projects. Another problem with WACC is its impractical assumption of the same capital mix which is very difficult to maintain. 