## Sunday, July 31

### Economic Value Added (EVA) - A close look.

Economic Value Added (EVA) - A close look.

In corporate finance, Economic Value Added or EVA, a registered trademark of Stern Stewart & Co., is an estimate of a firm's economic profit - being the value created in excess of the required return of the company's investors (being shareholders and debt holders). Quite simply, EVA is the profit earned by the firm less the cost of financing the firm's capital. The idea is that value is created when the return on the firm's economic capital employed is greater than the cost of that capital; see Corporate finance: working capital management. This amount can be determined by making adjustments to GAAP accounting. There are potentially over 160 adjustments that could be made but in practice only five or seven key ones are made, depending on the company and the industry it competes in.

## Contents

• 1 Calculating EVA
• 2 Comparison with other approaches
• 3 Relationship to Market Value Added
• References
• 5 Usage of EVA

## Calculating EVA

EVA is Net Operating Profit After Taxes (or NOPAT) less a Capital Charge, the latter being the product of the cost of capital and the economic capital. The basic formula is: $\mathit{EVA} \ = \ ( r - c ) \cdot K \ = \ \mathit{NOPAT} - c \cdot K$
where:
• $r = { \mathit{NOPAT} \over K }$ , is the Return on Invested Capital (ROIC);
• $c \,$ is the Weighted Average Cost of Capital (WACC);
• $K \,$ is the economic capital employed;
• NOPAT is the Net Operating Profit After Tax, with adjustments and translations, generally for the amortization of goodwill, the capitalization of brand advertising and others non-cash items.
EVA Calculation:
EVA = Net Operating Profit After Taxes – a Capital Charge [the residual income method]
therefore EVA = NOPAT - (c x Capital), or alternatively
EVA = (r x Capital) – (c x Capital) so that
EVA = (r-c) x Capital [the spread method, or excess return method]
where:
r = rate of return, and
c = cost of capital, or the Weighted Average Cost of Capital (WACC).

NOPAT is profits derived from a company’s operations after cash taxes but before financing costs and non-cash bookkeeping entries. It is the total pool of profits available to provide a cash return to those who provide capital to the firm.
Capital is the amount of cash invested in the business, net of depreciation. It can be calculated as the sum of interest-bearing debt and equity or as the sum of net assets less non-interest-bearing current liabilities (NIBCLs).
The Capital Charge is the cash flow required to compensate investors for the riskiness of the business given the amount of economic capital invested.
The cost of capital is the minimum rate of return on capital required to compensate investors (debt and equity) for bearing risk, their opportunity cost.
Another perspective on EVA can be gained by looking at a firm’s Return on Net Assets (RONA). RONA is a ratio that is calculated by dividing a firm’s NOPAT by the amount of capital it employs (RONA = NOPAT/Capital) after making the necessary adjustments of the data reported by a conventional financial accounting system.
EVA = (RONA – Required minimum return) x Net Investments
If RONA is above the threshold rate, EVA is positive.

## Comparison with other approaches

Other approaches along similar lines include Residual Income (RI) and Residual Cash Flow. Although EVA is similar to Residual Income, under some definitions there may be minor technical differences between EVA and RI (for example, adjustments that might be made to NOPAT before it is suitable for the formula below). Residual Cash Flow is another, much older term for economic profit. In all three cases, money cost of capital refers to the amount of money rather than the proportional cost (% cost of capital); at the same time, the adjustments to NOPAT are unique to EVA.
Although in concept, these approaches are in a sense nothing more than the traditional, commonsense idea of "profit", the utility of having a separate and more precisely defined term such as EVA is that it makes a clear separation from dubious accounting adjustments that have enabled businesses such as Enron to report profits while actually approaching insolvency.
Other measures of shareholder value include:
• Total Shareholder Return.

## Relationship to Market Value Added

The firm's market value added, or MVA, is the discounted sum (present value) of all future expected Economic Value Added: $MVA = V - K_0 = \sum_{t=1}^{\infty} { EVA_t \over (1+c)^t }$
Note that MVA = PV of EVA.
More enlightening is that since MVA = NPV of Free cash flow (FCF) it follows therefore that the
NPV of FCF = PV of EVA;
since after all, EVA is simply the re-arrangement of the FCF formula.