A Discounted Cash Flow (DCF) valuation estimates the intrinsic value of a company by projecting its future cash flows and adjusting them for risk using a discount rate.
How DCF Works
The idea behind DCF is simple:
- A business generates cash flow over time.
- Future cash flows are worth less than cash today because of risk and opportunity cost.
- The discount rate adjusts future cash flows to reflect their present value.
- The sum of all discounted cash flows gives an estimate of what the business is worth today.
Free Cash Flow
There are multiple methods to calculate free cash flow:
From Cash Flow from Operations (simplest method):
FCF = Cash Flow from Operations (CFO) - Capital Expenditures (CapEx)
From EBIT:
FCF = (EBIT × (1 - Tax Rate)) + Depreciation + Amortization - Capital Expenditures - Change in Working Capital;
From Net Income:
FCF = Net Income + Interest × (1 - Tax Rate) + Depreciation - CapEx - Change in Working Capital;
DCF Formula
To calculate a company’s value, sum up the present values of all future free cash flows (FCF):
DCF Value =
FCF1 ÷ (1+r)^1 +
FCF2 ÷ (1+r)^2 +
FCF3 ÷ (1+r)^3 +
FCF4 ÷ (1+r)^4 +
FCF5 ÷ (1+r)^5 +
Terminal Value ÷ (1+r)^5
or:
A. Growth Period =
FCF1 ÷ (1+r)^1 +
FCF2 ÷ (1+r)^2 +
FCF3 ÷ (1+r)^3 +
FCF4 ÷ (1+r)^4 +
FCF5 ÷ (1+r)^5
B. Perpetual Growth (Gordon Growth Formula) =
(FCF5 * (1 + g)) / (r - g)
C. Present Value of Perpetual Growth =
B ÷ (1 + r)^5
DCF Value = A + C
Where:
- FCF: Free cash flow in the next projected year.
- g: Perpetual growth rate (e.g. GDP growth or 3-4%)
- r: Discount rate (e.g., WACC or cost of capital).
- Terminal value: Estimate of perpetual cash flows using Gordon Growth model.
How to Perform a DCF Valuation
Step 1: Project & Discount Future Cash Flows
Project free cash flow (FCF) for some growth period (e.g. 5 years).
Example Cash Flow Projections at 5%:
Year | FCF ($M) | Formula |
---|---|---|
0 | 10.00 | Starting value |
1 | 10.50 | 10.00 * (1+0.05)^1 |
2 | 11.03 | 10.50 * (1+0.05)^2 |
3 | 11.58 | 11.03 * (1+0.05)^3 |
4 | 12.16 | 11.58 * (1+0.05)^4 |
5 | 12.76 | 12.16 * (1+0.05)^5 |
Step 2: Choose a Discount Rate
The discount rate adjusts for risk and the time value of money. Typically:
- 6%-8% → Large, stable companies
- 8%-12% → Most businesses
- 12%+ → High-risk or early-stage businesses
Many investors use the Weighted Average Cost of Capital (WACC), which is the combined cost of debt + equity as weighted by their makeup of a company’s capital structure, but a fixed discount rate is often used for simplicity.
Step 3: Calculate Perpetual Cash Flows
The Gordon Growth Model (GGM) is a simple formula to estimate the terminal value of a company,, assuming its cash flows grow at a constant rate forever.
Gordon Growth Formula:
TV = FCF / (r - g)
Where
- TV: Terminal value
- FCF: Free cash flow in the next projected year.
- g: Perpetual growth rate.
- r: Discount rate (e.g., WACC or cost of capital).
Perpetual Cash Flows Calculation:
- Year 6 FCF = 13.02 M (Yr 5 FCF: 12.76 × 1.02)
- Growth Rate (g) = 2%
- Discount Rate (r) = 8%
- Perpetual Cash Flows = 12.76 / (0.08 – 0.02) = 216.97M
*Perpetual cash flows have not been discounted yet.
Step 4: Discount Perpetual Cash + Growth Value
All perpetual cash flows are discounted to present value (e.g. 8% discount rate):
A. Growth Period =
10.50 ÷ (1+0.08)^1 +
11.03 ÷ (1+0.08)^2 +
11.58 ÷ (1+0.08)^3 +
12.16 ÷ (1+0.08)^4 +
12.76 ÷ (1+0.08)^5
= 43.82
B. Perpetual Growth (Gordon Growth Formula) =
(12.76 * (1 + 0.02)) / (0.08 - 0.02)
= 216.97
C. Present Value of Perpetual Growth =
206.72 ÷ (1 + 0.08)^5
= 147.66
DCF Value = 43.82 + 140.69 = 193.65
Year | FCF ($M) | PV ($M) |
0 | 10.00 | 10.00 |
1 | 10.50 | 9.72 |
2 | 11.03 | 9.45 |
3 | 11.58 | 9.19 |
4 | 12.16 | 8.93 |
5 | 12.76 | 8.69 |
Terminal Value | 216.97 | 147.66 |
TOTAL | 193.65 |
Conclusion
- DCF estimates the intrinsic value of a company by discounting all of its projected future cash flows to the present.
- The discount rate is subjective and impacts the valuation.
- Most of the value comes from the Terminal Value, so small assumption changes affect results significantly.
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