192  Frameworks for Valuation little insight into the company’s competitive position and economic perfor- mance. Declining free cash flow can signal either poor performance or invest- ment for the future. The economic-profit model highlights how and when the company creates value, yet properly implemented, it leads to a valuation that is identical to that of enterprise DCF. Economic profit measures the value created by the company in a single period and is defined as follows: Economic Profit Invested Capital ROIC WACC = × − ( ) Since ROIC equals NOPAT divided by invested capital, we can rewrite the equation as follows: Economic Profit NOPAT Invested Capital WACC = − × ( ) Exhibit 10.13 presents economic-profit calculations for GlobalCo using both methods. Not surprisingly, with an ROIC more than double its cost of capital, GlobalCo generates significant economic profits. To demonstrate how economic profit can be used to value a company— and to demonstrate its equivalence to enterprise DCF—consider a stream of growing cash flows valued using the growing-perpetuity formula: Value FCF WACC 0 1 = −g In Chapter 3, we transformed this cash flow perpetuity into the key value driver model. The key value driver model is superior to the simple cash flow perpetuity model, because it explicitly models the relationship between growth and required investment. Using a few additional algebraic steps (de- tailed in Appendix A) and the assumption that the company’s ROIC on new projects equals the ROIC on existing capital, it is possible to transform the cash flow perpetuity into a key value driver model based on economic profits: Value Invested Capital Invested Capital ROIC WACC WACC 0 0 0 1 = + × − ( ) −g Finally, we substitute the definition of economic profit: Value Invested Capital Economic Profit WACC 0 0 1 = + −g As can be seen in the economic-profit-based key value driver model, the operating value of a company equals its book value of invested capital plus the present value of all future value created. In this case, the future economic Economic Profit-Based Valuation Models  193 profits are valued using a growing perpetuity, because the company’s eco- nomic profits are increasing at a constant rate over time. The formula also demonstrates that when economic profit is expected to be zero, the value of operations will equal invested capital. If a company’s value of operations ex- ceeds its invested capital, be sure to identify the sources of competitive ad- vantage that allows the company to maintain superior financial performance. More generally, economic profit can be valued as follows: Value Invested Capital Economic Profit WACC 0 0 1 1 = + + = ∞ ∑ t t t ( ) Since the economic-profit valuation was derived directly from the free cash flow model (see Appendix A for a general proof of equivalence), any valuation based on discounted economic profits will be identical to enterprise DCF. To assure equivalence, however, it is necessary to do the following: • Use beginning-of-year invested capital (i.e., last year’s value) instead of average or current-year invested capital, which is common to competi- tive benchmarking. • Define invested capital for both economic profit and ROIC using the same value. For example, ROIC can be measured either with or without EXHIBIT 10.13  GlobalCo: Economic-Profit Summary $ million, except where noted   Year 1 Year 2 Year 3 Method 1 Return on invested capital,1 % 24.2 22.3 20.3 Weighted average cost of capital, % (7.8) (7.8) (7.8) Economic spread, % 16.4 14.5 12.5 × Invested capital1 248.0 310.0 356.5 = Economic profit 40.7 44.8 44.6 Method 2 Invested capital1 248 310 357 × Weighted average cost of capital, % 7.8 7.8 7.8 = Capital charge 19.3 24.2 27.8 NOPAT 60.0 69.0 72.5 Capital charge (19.3) (24.2) (27.8) Economic profit 40.7 44.8 44.6 Including goodwill Economic profit including goodwill 32.9 37.0 36.8 1 Invested capital measured at the beginning of the year, excluding goodwill and acquired intangibles.