Understanding Capital Recovery Factor (CRF)
In several illustrations across this website, a Capital Recovery Factor (CRF) is used to convert upfront capital investments into an equivalent annual cost. This standalone note explains what CRF means, how it relates to financing assumptions, and why asset life plays a major role in annualized economics.
1. What is Capital Recovery Factor?
CRF converts a one-time capital investment into a uniform annual cost over the life of an asset. Instead of expressing project economics as a large upfront investment, CRF allows comparison on an annual basis.
CRF formula:
CRF = [ i(1+i)n ] / [ (1+i)n − 1 ]
- i = discount rate (or required return)
- n = asset life in years
Annualized Capital Cost = CAPEX × CRF
2. Why CRF is used directly in these illustrations
For simplicity and consistency across multiple examples, some illustrations use a representative CRF value of 10% directly.
This does not imply that the discount rate (i) itself is fixed at 10%. Rather, CRF = 10% is used as a practical annualized benchmark that avoids repeating financing assumptions inside every illustration.
3. CRF depends on BOTH financing and asset life
CRF is influenced by:
- The financing cost (discount rate i)
- The asset lifetime (n)
Different combinations of financing assumptions and asset lives can lead to similar CRF values.
4. How the discount rate (i) can be derived
In project analysis, the discount rate often reflects a simplified Weighted Average Cost of Capital (WACC).
Example financing assumptions:
- Debt : Equity = 70 : 30
- Debt interest rate = 7%
- Equity return expectation = 13%
i = (0.70 × 7%) + (0.30 × 13%) = 8.8%
For a typical infrastructure life (~25 years), this corresponds approximately to:
CRF ≈ 10%
This is why a 10% CRF is a reasonable representative assumption for illustrative comparisons.
5. Illustration: effect of asset life
Even when financing assumptions are unchanged, asset life strongly affects annualized capital recovery.
| Asset Type | Life (years) | Approx CRF |
|---|---|---|
| Lithium-ion Battery | 10 | ~15% |
| Representative Infrastructure Case | 25 | ~10% |
| Pumped Hydro Storage | 50 | ~9% |
Short-life assets must recover capital faster, leading to higher annualized cost, while long-life assets spread capital recovery over a longer period.
6. Practical interpretation for readers
When a CRF of 10% appears in the illustrations, it should be interpreted as:
A representative annualized capital recovery assumption consistent with typical infrastructure-style financing and medium project life.
The objective is to simplify comparisons without repeatedly introducing financing details.
7. Key insight
Optimization models naturally favor long-life infrastructure not only because of efficiency, but because CRF structurally lowers annual capital burden as asset life increases — even when financing assumptions remain unchanged.
8. Notes and simplifications
- Illustrative values only — not a project finance model.
- No inflation or tax adjustments included.
- Constant discount rate assumed.
- Purpose is conceptual clarity and comparability.