DCF Terminal Value: Growth Has a Cost

A DCF model can produce a higher valuation without a single improvement in the business: increase the perpetual growth assumption, leave free cash flow untouched, and the terminal value rises. The arithmetic works. The business assumptions may not.

Growth usually requires capital that cannot simultaneously be distributed to investors. A credible terminal value therefore links three things: the growth rate, the return on new investment and the cash retained to finance it. The key question is not merely whether growth is below the discount rate, but whether the model pays for the growth it promises.

Terminal value belongs to a future date

Consider a hypothetical mature, nonfinancial business, with all money amounts in millions of one currency. We value nominal, year-end free cash flow to the firm, or FCFF, using a weighted average cost of capital, WACC. Equity cash flow requires the cost of equity instead; mixing the two produces an inconsistent valuation.

With five explicit forecast years, terminal value at the end of year 5 is FCFF in year 6 ÷ (WACC − g), where g is the subsequent perpetual growth rate. That figure is not today's value. Discount it by (1 + WACC) to the fifth power, then add the present values of years 1–5. Year 6 is already in the terminal calculation and must not be added separately.

The model requires g below WACC for the growing perpetuity to converge. That is necessary, not sufficient: a finite concession or an exhaustible asset does not become perpetual because the denominator is positive.

Pay for growth before discounting the cash

Suppose year-6 net operating profit after tax, NOPAT, is 100. The business can earn 10% on incremental invested capital, while long-run operating growth is 3%. Under a steady-state assumption, reinvestment absorbs 3% ÷ 10% = 30% of NOPAT. Cash retained is 30 and FCFF is 70. At an 8% WACC, terminal value is 70 ÷ (8% − 3%) = 1,400.

Here reinvestment includes net capital expenditure—capital spending less depreciation—and the increase in noncash operating working capital. A factory expansion or a larger inventory balance uses money even if the income statement looks strong. Treating depreciation as a permanent substitute for all new investment can overstate distributable cash.

The 10% is an assumption about returns on new capital in the stable phase, not an instruction to copy the company's historical average ROIC. Legacy assets, acquisition accounting and temporarily high margins can make that average a poor guide to the next unit invested.

Why faster growth can create little—or no—extra value

Raise growth to 4%, retaining the 10% investment return. Reinvestment now takes 40% of profit, so FCFF falls to 60. Terminal value becomes 60 ÷ 4% = 1,500, not the 1,750 obtained by keeping cash flow at 70. The latter combination implicitly asks for more growth without its funding cost.

All four scenarios deliberately hold next-year NOPAT at 100 and WACC at 8% to isolate this trade-off. When investment return merely matches the capital cost, more growth produces no additional value in this comparison. Below the cost of capital, expansion can destroy value: at a 6% return, moving growth from 3% to 4% reduces terminal value from 1,000 to about 833.33.

If the real spreadsheet holds year-5 profit fixed instead, changing growth also changes year-6 profit. Rebuild that numerator as well. The lesson is consistency, not that every company's valuation must follow the same numerical sensitivity.

A large terminal share is a question, not an automatic rejection

Assume, separately, that FCFF in each of years 1–5 is 50, before the business reaches the stable case above. At 8%, those five cash flows have a combined present value of 199.64. The terminal value contributes 1,400 ÷ 1.08⁵ = 952.82, giving operating value of 1,152.45 before rounding components.

About 82.68% comes from the terminal component. There is no universal percentage that makes the model valid or invalid. The useful question is whether the margin, investment needs and competitive position assumed after year 5 are better supported than the precision of the headline valuation suggests.

This is operating value, not ordinary-equity value per share. The enterprise-value-to-equity bridge still has to account for eligible cash, debt and other claims. Dividing 1,152.45 directly by shares would skip that reconciliation.

Stress assumptions without hiding the operating changes

Holding year-6 FCFF at 70 and growth at 3%, lifting WACC from 8% to 9% cuts terminal value to 1,166.67, a 16.67% decline. The whole DCF does not necessarily fall by that percentage: the terminal amount and every explicit cash flow also have to be discounted at the revised rate.

A growth sensitivity should recalculate reinvestment, not merely change the denominator. A margin sensitivity should explain capacity, pricing and competition. An exit-multiple cross-check should reconcile its implied growth and returns; switching to a multiple does not make the long-run assumptions disappear.

Keep currency and inflation treatment aligned. Nominal cash flows need a nominal discount rate in the same currency. A short-lived efficiency gain cannot finance rising profits forever. If the terminal year suddenly has peak margins and unusually low investment, extend the transition rather than forcing a clean-looking steady state.

Audit the model in this order

First identify whose cash is being valued and the exact terminal date. Next normalize operating profit, capital spending and working capital from the underlying accounts. Write down how new investment earns the assumed return and what would erode it. Then derive reinvestment, cash flow and terminal value together; verify that next year's cash flow appears only once.

Finally, recompute present values and the equity bridge, and compare a defensible range of growth and return assumptions. If the investment case survives only when growth rises while reinvestment stays flat, it is the operating case—not the spreadsheet formatting—that needs repair. A useful DCF exposes that dependency instead of disguising it behind a precise target price.