💡Discounted Cash Flow

What is DCF (Discounted Cash Flow)?

DCF is a valuation method used to estimate the intrinsic value of an asset (like a stock, a company, or a project) by forecasting its future cash flows and discounting them back to today’s value.

Why discount cash flows?

Because money today is worth more than money in the future (due to inflation, risk, and opportunity cost). DCF helps you figure out how much those future cash flows are worth today.


🏗️ How DCF Works (Step-by-Step)

1️⃣ Estimate Future Cash Flows

Predict the cash flows (e.g., revenue – costs) the asset will generate each year for a certain period (say, 5–10 years).

Example for a business:

  • Year 1: $100,000

  • Year 2: $120,000

  • Year 3: $150,000
    …and so on.


2️⃣ Choose a Discount Rate (r)

This reflects the risk and opportunity cost. It’s often based on the Weighted Average Cost of Capital (WACC) or your required rate of return.


3️⃣ Discount Future Cash Flows to Present Value

The formula for discounting each year’s cash flow (CF) is:

Present Value of CF = CF / (1 + r)ⁿ

Where:

  • CF = Cash Flow in year n

  • r = Discount rate (as decimal, e.g., 10% → 0.10)

  • n = Year number


4️⃣ Calculate Terminal Value

For cash flows beyond the forecast period, we estimate a Terminal Value (TV) using the Gordon Growth Model:

Terminal Value (TV) = (Final Year CF × (1 + g)) / (r - g)

Where:

  • g = Long-term growth rate of cash flows


5️⃣ Sum All Present Values

The total DCF valuation is the sum of:

  • Present value of all forecast cash flows

  • Present value of terminal value

Final DCF formula:

DCF = Σ [CFₙ / (1 + r)ⁿ] + [TV / (1 + r)ⁿ]

🎓 Example: Simple DCF Calculation

Let’s say:

  • Cash flows for 3 years: $100K, $120K, $140K

  • Discount rate (r) = 10%

  • Terminal growth rate (g) = 3%

Step 1: Discount cash flows

Year 1 PV = 100K / (1+0.10)¹ = $90,909
Year 2 PV = 120K / (1+0.10)² = $99,174
Year 3 PV = 140K / (1+0.10)³ = $105,189


Step 2: Terminal Value

Terminal Value at end of Year 3:

TV = (140K × 1.03) / (0.10 - 0.03) = 144.2K / 0.07$2,060,000

Discounted Terminal Value:

TV PV = 2,060,000 / (1.10)³ ≈ $1,547,469

Step 3: Total DCF Value

DCF = 90,909 + 99,174 + 105,189 + 1,547,469$1,842,741

🔑 DCF Key Takeaways

DCF = What an investment is worth today based on future cash flows
✅ Relies on assumptions: cash flow estimates, discount rate, growth rate
✅ Great for valuing businesses, stocks, projects, real estate