Concept
The capital recovery factor (CRF) is the multiplier that converts a one-time capital sum into the constant annual payment that would repay it, with interest, over the asset’s life — turning a stock of capital into an equivalent yearly flow. It’s the standard way to put up-front capex on the same annual footing as opex, so the two can be added into a levelized cost.
What it does. Capital is spent once; operating cost recurs yearly. To combine them, express the capital as the yearly charge that, over the plant’s life and at a required return, is financially equivalent to the lump sum:
annual capital charge = CRF × total capex
i (1 + i)ᴺ
CRF = ─────────────────
(1 + i)ᴺ − 1i is the discount rate — the cost of capital; N is the asset life in years. Both are modeling choices. As N grows large, CRF → i; for finite N it sits above it. Annualize total capex — the loaded figure — not ISBL or equipment cost alone.
Why it’s the maturity-anchor tool. The CRF collapses the whole time-value calculation into one multiplier. For capital spent once and then run at roughly steady state, it gives the same answer as a full year-by-year discounted cash flow — without building one. With i ~8–12% and N ~20–25 years, CRF lands roughly 0.10–0.13 — an annual charge of about a tenth to an eighth of total capex. Spread over output (set by the capacity factor), it becomes the capital share of levelized cost.
i from 8% to 12% raises CRF by ~a third; shortening N raises it further. Both are easy to set without justification, and the capital share swings on them.i needs nominal (escalating) cash flows, a real rate real ones; mixing biases the figure.