Understanding the additional funds needed (AFN) calculator — concept and principle
This calculator estimates how much outside money a company must raise to support next year's sales growth, using the percent-of-sales method, and the growth rate it could reach with no outside funds. Finance students and planners use it for a first financing forecast.
How it is calculated
AFN = (A0 ÷ S0) × ΔS − (L0 ÷ S0) × ΔS − M × S1 × RR
- S0 = last year's sales; S1 = S0 × (1 + growth); ΔS = S1 − S0
- A0 = assets that grow with sales; A0 ÷ S0 is capital intensity
- L0 = spontaneous liabilities (accounts payable and accruals), not bank loans or bonds
- M = net profit margin; RR = retention ratio = 1 − dividend payout ratio
Growth rate needing no outside funds: g = M × RR ÷ (A0/S0 − L0/S0 − M × RR).
The principle
Assets and spontaneous liabilities are assumed to stay a fixed percentage of sales. If sales rise 20%, receivables, inventory and capacity rise 20%. Part is financed spontaneously by supplier credit and accruals, part by retained profit; the rest must come from loans, bonds or shares. A negative result is a surplus.
Worked example
Defaults: sales 2,000,000; growth 20%; assets 1,200,000; spontaneous liabilities 200,000; net margin 5%; payout 40%.
- S1 = 2,000,000 × 1.20 = $2,400,000; ΔS = $400,000.
- Required increase in assets = 1,200,000 ÷ 2,000,000 × 400,000 = 0.6 × 400,000 = $240,000.
- Spontaneous increase in liabilities = 0.1 × 400,000 = $40,000.
- Addition to retained earnings = 0.05 × 2,400,000 × 0.60 = $72,000.
- AFN = 240,000 − 40,000 − 72,000 = $128,000.
- Zero-AFN growth = 0.05 × 0.6 ÷ (0.6 − 0.1 − 0.03) = 0.03 ÷ 0.47 = 6.4%.
| Assets that grow with sales (total assets last year) | Additional funds needed (− = surplus) |
|---|---|
| 300,000 | -$52,000 |
| 600,000 | $8,000 |
| 900,000 | $68,000 |
| 1.2e+06 | $128,000 |
| 1.5e+06 | $188,000 |
| 1.8e+06 | $248,000 |
| 2.4e+06 | $368,000 |
How to read the result
A positive AFN is the funding gap to cover with debt, equity or slower growth. Higher capital intensity raises it; a higher margin or lower payout lowers it. Growth far above the zero-AFN rate means outside finance every year.
Common mistakes
- Including bank loans or bonds in spontaneous liabilities; those are the financing choices.
- Counting all assets when the firm has spare capacity; idle assets need not grow.
- Using the margin on last year's sales instead of next year's sales for retained earnings.
- Treating the result as exact; ratios rarely stay perfectly constant.
Frequently asked questions
What does a negative AFN mean?
Internally generated funds exceed what growth requires, so the firm has surplus funds to pay down debt or return to owners.
How can a company reduce its AFN?
Raise the profit margin, retain more earnings, use assets more efficiently, or negotiate longer supplier credit.
Is the zero-AFN growth rate the same as the sustainable growth rate?
No. The sustainable growth rate allows debt to grow to keep leverage constant; the zero-AFN rate uses no new external funds at all.
Sources: K. S. Bigel, Introduction to Financial Analysis, section 9.6 "The EFN Formula Explained" (Business LibreTexts, CC BY 4.0)