> ## Documentation Index
> Fetch the complete documentation index at: https://docs.chicago.global/llms.txt
> Use this file to discover all available pages before exploring further.
# Growth, ROIC and Reinvestment
> Why growth creates value only when the return on incremental invested capital exceeds the cost of that capital
Growth creates value only when the return on incremental [invested capital](/glossary/invested-capital) exceeds the opportunity cost of that capital, after accounting for the reinvestment required to sustain the operating path.
## The Economic Question
The central corporate-finance relationship is the spread between [return on invested capital](/glossary/return-on-invested-capital) and the [cost of capital](/glossary/weighted-average-cost-of-capital). Growth above that hurdle creates value. Growth below it consumes value. A forecast that raises revenue without financing the required investment is incomplete.
## First-Principles Derivation
[`NOPAT`](/glossary/nopat) `= EBIT × (1 − operating tax rate)`
[`ROIC`](/glossary/return-on-invested-capital) `= NOPAT / beginning invested capital`
`Reinvestment rate = net investment / NOPAT`
`Sustainable operating growth = incremental ROIC × reinvestment rate`
[`FCFF`](/glossary/free-cash-flow-to-firm) `= NOPAT × (1 − growth / incremental ROIC)`
That last identity holds only while incremental ROIC is positive. At zero it is undefined, and at a negative value the correction term flips sign and appears to *add* cash for growth that is destroying it. A company in that state is modelled from its cash flows directly, not from the identity.
The first identity defines ROIC on the whole capital base. The last two require the return on **incremental** capital, which is what new investment actually earns. The two coincide only in a steady state. A company can carry a high average ROIC long after new money stopped earning a spread.
The last identity makes the trade-off explicit. For the same growth rate, a high-ROIC business needs less reinvestment and converts more profit into cash. A low-ROIC business must retain more cash to grow.
## Model Mechanics
Most operating forecasts should be controlled by two or three variables. Revenue growth, operating margin and capital efficiency usually explain most of the change in value. The model begins near observable consensus to establish the market baseline. It then identifies the small number of assumptions where independent evidence supports a different view.
Drivers should fade toward economically coherent levels. A company cannot indefinitely grow faster than its addressable market, expand margins beyond competitive structure and reduce reinvestment at the same time. The forecast must show which source of advantage allows any temporary departure.
## A Worked Case
Consider a software company with 1,000.0 of revenue, a 15.0% operating margin and 25.0% ROIC. NOPAT at a 20.0% operating tax rate is 120.0.
| Scenario | ROIC | Growth | Reinvestment | FCFF |
| ----------------------- | ----- | ------ | ----------------------- | -------- |
| High capital efficiency | 25.0% | 10.0% | 40.0% of NOPAT, or 48.0 | **72.0** |
| Low capital efficiency | 12.5% | 10.0% | 80.0% of NOPAT, or 96.0 | **24.0** |
The same revenue growth supports radically different value. Capital efficiency, not the adjective "growth," decides the result.
## Interpretation Note
Growth creates value when returns on incremental investment exceed the cost of capital. Assess the duration of those returns alongside the reinvestment, financing and dilution needed to achieve them.
## How to Assess the Result
Calculate implied incremental invested capital from the forecast. Compare it with the historical asset base, working-capital needs, acquisition spending and stock-based compensation. If the model forecasts high growth with falling reinvestment, demand an operating explanation such as network effects, unused capacity or a shift toward higher-return revenue.
## When to Reassess
Customer acquisition costs rise, retention falls, pricing weakens, capitalized development grows faster than revenue, or incremental ROIC falls below the forecast corridor. These are operating falsifiers. A share-price decline by itself is not.
## How Parallax Applies This
Parallax links revenue, margins and reinvestment rather than projecting each line independently. The forecast identifies the dominant drivers, keeps the accounting basis consistent, and exposes the implied ROIC and cash conversion so the reader can test whether growth is economically funded.
Turning operating profit into the cash actually available to investors.
Mature economics, competitive fade and why terminal growth is never free.