292  Estimating Continuing Value To see how the value shift works, compare Exhibits 14.4 and 14.5. The former details the calculations for the valuation model using a five-year explicit fore- cast period, whereas the latter repeats the analysis with an eight-year period. In Exhibit 14.4, NOPAT starts at $100 million. During the first five years, NOPAT grows at 9 percent per year. Following year 5, NOPAT growth slows to 6 percent. Using the definition of free cash flow derived in Chapter 10, EXHIBIT 14.4  Valuation Using Five-Year Explicit Forecast Period $ million Year 1 Year 2 Year 3 Year 4 Year 5 Base for CV NOPAT 100.0 109.0 118.8 129.5 141.2 149.6 Depreciation 20.0 21.8 23.8 25.9 28.2 Gross cash flow 120.0 130.8 142.6 155.4 169.4 Gross investment (76.3) (83.1) (90.6) (98.7) (107.6) Free cash flow (FCF) 43.8 47.7 52.0 56.7 61.8 × Discount factor 0.893 0.797 0.712 0.636 0.567 Present value of FCF 39.1 38.0 37.0 36.0 35.0 Present value of FCF1–5 185.1 Calculation of continuing value (CV) Continuing value 707.5 CV CV WACC 0 5 5 5 1 1 12 707 5 = + = = ( ) ( . ) $ . CV NOPAT g RONIC WACC CV 5 1 1 = −     − = − g 1246 9 $ , . ( ) = $1,246.9 0.06 0.12 $149.6 0.12 – 0.06 Total value 892.6 EXHIBIT 14.5 Valuation Using Eight-Year Explicit Forecast Period $ million Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Base for CV NOPAT 100.0 109.0 118.8 129.5 141.2 149.6 158.6 168.1 178.2 Depreciation 20.0 21.8 23.8 25.9 28.2 29.9 31.7 33.6 Gross cash flow 120.0 130.8 142.6 155.4 169.4 179.6 190.3 201.7 Gross investment (76.3) (83.1) (90.6) (98.7) (107.6) (104.7) (111.0) (117.7) Free cash flow (FCF) 43.8 47.7 52.0 56.7 61.8 74.8 79.3 84.1 × Discount factor 0.893 0.797 0.712 0.636 0.567 0.507 0.452 0.404 Present value of FCF 39.1 38.0 37.0 36.0 35.0 37.9 35.9 34.0 Present value of FCF1–8 292.9 Calculation of continuing value (CV) Continuing value 599.8 CV NOPAT g RONIC WACC CV 8 1 = −     − = g CV CV WACC 0 8 8 8 1 1 12 = + = = ( ) ( . ) 1 − 0.12 – 0.06 $1,485.1 ( ) = $599.8 $1,485.1 0.06 0.12 $178.2 Total value 892.6 Misunderstandings about Continuing Value  293 we compute gross cash flow by adding depreciation to NOPAT. Free cash flow equals gross cash flow minus gross investment. To compute the com- pany’s gross investment, multiply NOPAT by the reinvestment rate, where the reinvestment rate equals the ratio of growth to ROIC (9 percent di- vided by 16 percent), plus depreciation. To determine the present value of the company, sum the present value of the explicit forecast period cash flows plus the present value of continuing value. (Since the continuing value is measured as of year 5, the continuing value of $1,246.9 million is discounted by five years, not by six, a common mistake.) The total value equals $892.6 million. Exhibit 14.5 details the calculations for a valuation model that uses an eight-year explicit forecast period and a continuing value that starts in year 9. The structure and forecast inputs of the model are identical to those of Exhibit 14.4. In the first five years, growth is 9 percent, and ROIC equals 16 percent. After five years, growth drops to 6 percent, and ROIC drops to 14 percent. This leads to an explicit forecast value of $292.9 million, which is higher than under the shorter five-year window. Since NOPAT in the continuing value is higher, continuing value also is higher, but since it occurs three years later, its discounted value is lower. You can see that the amounts under the two valuation methods are identi- cal. Since the underlying value drivers are the same in both valuations, the results will be the same. The length of your forecast horizon should affect only the proportion of total value allocated between the explicit forecast period and continuing value, not the total value. The choice of forecast horizon will indirectly affect value if it is associated with changes in the economic assumptions underlying the continuing-value estimate. You can unknowingly change the amount of value creation when you change your forecast horizon. Many forecasters assume the company will generate returns above the cost of capital during the explicit forecast period, and they set return on new capital equal to WACC in the continuing value. By extending the explicit forecast period, you increase the number of years the company is creating value. Extending the forecast period indirectly raises the value, even when that is not intended. So how do you choose the appropriate length of the explicit forecast pe- riod? The period should be long enough that the business will have reached a steady state by the end of it. Suppose you expect the company’s margins to decline as its customers consolidate. Margins are currently 14 percent, and you forecast they will fall to 9 percent over the next seven years. In this case, the explicit forecast period must be at least seven years, because continu- ing-value approaches cannot account for the declining margin (at least not without complex computations). The business must be operating at an equi- librium level for the continuing-value approaches to be useful. If the explicit forecast period is more than seven years, there will be no effect on the com- pany’s total value.