Terminal ValueCopy Anchor Link

Terminal ValueCopy Anchor Link

Terminal value is the value assigned, in a dcf-valuation, to all cash flows after the explicit forecast period. Because a public firm has a potentially infinite life, the analyst cannot forecast forever; the terminal value is the mathematical closure of that problem — and aswath-damodaran's warning is that it is usually the largest single piece of the answer.

Why it is neededCopy Anchor Link

Damodaran states the closure problem directly: "A publicly traded firm potentially has an infinite life. The value is therefore the present value of cash flows forever." Since cash flows cannot be estimated forever, the analyst estimates a growth period and then a terminal value "to capture the value at the end of the period"

The stable-growth formulaCopy Anchor Link

When a firm's cash flows grow at a constant rate forever, their present value is the familiar perpetuity: value equals expected cash flow next period divided by the discount rate minus the growth rate. That constant growth rate "cannot be higher than the growth rate of the economy in which the firm operates." The stable growth rate can be set below the economy's rate, can be negative (implying the firm disappears over time), and must be nominal if the cash flows and discount rate are nominal.

The tail that wags the dogCopy Anchor Link

Damodaran titles the terminal-value section the tail that wags the dog, and the point is quantitative: "The terminal value will always be a large proportion of the total value." It reflects the reality that the bulk of returns from holding a stock for a finite period come from price appreciation, and its present value can exceed 100% of the current value of the stock.

The key assumption is excess returns, not growthCopy Anchor Link

The central insight is that terminal value is driven less by the growth rate than by what is assumed about excess returns in stable growth: "Strange though this may seem, the terminal value is not as much a function of stable growth as it is a function of what you assume about excess returns in stable growth." If a firm is assumed to earn a return on capital equal to its cost-of-capital in perpetuity, the terminal value does not change as the growth rate changes; only a positive or negative excess-return assumption makes growth matter. "The key assumption in the terminal value calculation is not the growth rate but the excess return assumption."

Consistency requirementsCopy Anchor Link

Getting to stable growth means the firm must be given the characteristics of a stable firm: beta moving toward one, the cost of debt reflecting investment-grade safety, and a reinvestment rate tied to growth and return on capital. The reinvestment rate is not free — growth must be paid for. A valuation that assumes 3% perpetual growth but no reinvestment is internally inconsistent. The concept connects on one side to dcf-valuation's machinery and on the other to intrinsic-value, since the terminal value is where a model's long-run assumptions about a business's moat — see moats — are made explicit. The same machinery recurs across Damodaran's valuation workbooks — the stable-growth perpetuity — terminal value equals next-period free cash flow divided by the discount rate minus growth — is the closing step in his worked DCF examples, and his survey notes that when a firm pays out less in dividends than its free cash flow, "the expected growth rate and terminal value will be higher in the dividend discount model" than in the FCFE version. The alternative is a relative one — Damodaran's course packets also pose the question "What if I estimate the terminal value using an exit multiple", reminding that a terminal value can be priced off comparables rather than the perpetuity.

SourcesCopy Anchor Link

• damodaran/markdown/growthandtermvalue.md
• damodaran/markdown/valpacket3spr26.md
• damodaran/markdown/valuesurvey.md
• damodaran/markdown/Brvaln01.md