Corporate finance often feels like a web of acronyms — EBITDA, EBIT, EBIAT, FCF, WACC, IRR, hurdle rate — that all seem connected but not quite clear.
This guide stitches them together into two intuitive chains:

  1. How operating profits translate into cash flows (EBITDA → FCF)
  2. How investor required returns translate into project evaluation (rE → WACC → IRR)

🧩 Part 1: From EBITDA to Free Cash Flow (FCF)

The goal of this chain is to track how accounting profit turns into real cash that investors can receive.

The Income Statement Flow

Step Metric Description
Revenue (Sales) Money from operations  
– COGS, SG&A Operating expenses  
= EBITDA Earnings Before Interest, Taxes, Depreciation, and Amortization — operating profit before non-cash and financing effects  
– Depreciation & Amortization Non-cash charges for asset usage  
= EBIT Earnings Before Interest and Taxes — also called Operating Income  
– Taxes on EBIT $ t_C \times EBIT $  
= EBIAT (or NOPAT) Earnings Before Interest After Taxes — after-tax profit from operations  
+ Depreciation Add back non-cash expense  
– Δ Working Capital Subtract additional cash tied in operations  
– Capital Expenditures Subtract investments in assets  
= Free Cash Flow (FCF) Cash available to all capital providers  

Formula Summary

\[EBIAT = EBIT \times (1 - t_C)\] \[FCF = EBIAT + Dep - \Delta NWC - CapEx\]

Example

Item Amount ($)
Sales 10,000
COGS + SG&A 7,000
Depreciation 500
EBIT 2,500
Taxes (30%) 750
EBIAT 1,750
+ Depreciation +500
– CapEx –800
– ΔNWC –200
Free Cash Flow 1,250

Interpretation:
EBITDA shows earnings capacity, EBIT shows operating profit, EBIAT shows after-tax operations, and FCF shows actual cash generation — the foundation for firm value in DCF models.


💰 Part 2: From Cost of Capital to IRR and Hurdle Rate

Once you have FCF, you need a discount rate to value it.
That’s where cost of capital concepts link together.

The Investor’s Perspective

Term Represents Formula / Logic
Cost of Equity ($r_E$) Return required by shareholders $ r_E = r_f + \beta_E (r_M - r_f) $
Cost of Debt ($r_D$) Interest rate paid to lenders after-tax: $ r_D(1 - t_C) $
Weighted Average Cost of Capital (WACC) Firm’s overall required return \(WACC = \frac{E}{V}r_E + \frac{D}{V}r_D(1 - t_C)\)
Cost of Capital ($r_A$) Unlevered return on assets $ r_A = \frac{E}{V}r_E + \frac{D}{V}r_D $
Internal Rate of Return (IRR) Project’s expected rate of return Solves $ NPV = 0 $
Hurdle Rate Manager’s minimum acceptable rate Typically ≥ WACC

Example

Assume:

\[\begin{aligned} r_E &= 3 + 1.2(7) = 11.4\% \\ r_D(1 - t_C) &= 6(1 - 0.3) = 4.2\% \\ WACC &= 0.7(11.4) + 0.3(4.2) = 9.42\% \end{aligned}\]

If a project’s IRR = 12%,
then $ IRR > WACC $ → accept (NPV > 0).

Firms often add a cushion (the “hurdle rate”), e.g. target 14%, to account for risk or strategic conservatism.


🧩 Conceptual Chain

EBITDA → EBIT → EBIAT → FCF → Firm Value
↑ ↓
rE, rD → WACC → Hurdle Rate → IRR → Investment Decision

Decision rule:

\[IRR > WACC \implies NPV > 0 \implies \text{Value creation.}\]

💬 Key Takeaways

“Finance is just converting earnings to cash flows and risk to discount rates — and making sure the second exceeds the first.”


Tags: #CorporateFinance #Valuation #WACC #EBITDA #DCF

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