Discounted Cash Flows Model for Business Valuation
The Discounted Cash Flow (DCF) model is a cornerstone technique for valuing businesses in the NISM Series XV exam. It translates future cash inflows into present‑value terms using a discount rate, allowing analysts to estimate intrinsic value. Mastery of DCF helps you answer valuation questions, compute fair price, and justify investment recommendations under SEBI guidelines. This sub‑topic links cash‑flow forecasting, cost of capital, and terminal value concepts covered in the Valuation Principles chapter.
Learning Objectives
- 1Define free cash flow (FCF) and its role in DCF valuation.
- 2Explain how the Weighted Average Cost of Capital (WACC) is used as the discount rate.
- 3Derive the DCF formula and compute terminal value using the Gordon growth model.
- 4Identify common exam pitfalls and apply a step‑by‑step DCF calculation to a realistic Indian company.
Understanding the Discounted Cash Flow (DCF) Model
The DCF model values a business by estimating the present value of all future free cash flows that the firm is expected to generate. In simple terms, it asks: ‘What is the worth today of cash that will be received in the future?’ This aligns with SEBI’s emphasis on intrinsic valuation rather than market price alone.
Free cash flow (FCF) is the cash generated after operating expenses, taxes, and necessary reinvestment in working capital and capital assets. Unlike net profit, FCF reflects the cash actually available to equity and debt holders, making it the appropriate input for DCF.
For the NISM exam, you will often be given a forecast period (usually 5‑10 years) and asked to calculate the enterprise value (EV) by discounting each year’s FCF at the firm’s Weighted Average Cost of Capital (WACC). After the explicit forecast, a terminal value captures the value of cash flows beyond the projection horizon.
- DCF is a forward‑looking, cash‑based valuation method.
- It integrates both the firm’s operating performance (FCF) and financing cost (WACC).
Students often use the cost of equity instead of WACC when discounting the firm’s free cash flow. Remember: DCF for enterprise value requires the blended cost of capital (WACC), not just the equity cost.
Key Components of a DCF Valuation
The DCF framework consists of four essential inputs: (1) forecast free cash flows for each year in the explicit period, (2) the discount rate (WACC), (3) the terminal value that captures value beyond the forecast, and (4) the sum of present values of all cash flows. Each component must be estimated with care, as small errors can magnify the final valuation.
Forecasting FCF involves projecting revenue growth, operating margins, tax rates, changes in working capital, and capital expenditures. The NISM syllabus expects you to know the basic formula: FCF = EBIT × (1‑Tax Rate) + Depreciation – CAPEX – ΔWorking Capital.
The terminal value is usually derived using the Gordon Growth Model, which assumes a perpetual growth rate (g) that is lower than the discount rate. The final enterprise value is the sum of the present value of the explicit cash flows and the discounted terminal value.
- WACC – reflects the average cost of equity and debt, weighted by their market proportions.
- g – a modest, long‑run growth rate (often 2‑3% for mature Indian firms).
Core Elements of the DCF Model and Their Typical Sources
| Component | Definition | Typical Source in Indian Context |
|---|---|---|
| Free Cash Flow (FCF) | Cash available after operations, taxes, CAPEX, and working‑capital changes | Management earnings forecasts, audited financials |
| Weighted Average Cost of Capital (WACC) | Blended cost of equity and debt, weighted by market values | CAPM for equity, Yield on corporate bonds for debt |
| Terminal Growth Rate (g) | Assumed perpetual growth of cash flows after forecast horizon | GDP growth, industry long‑run growth rates |
| Forecast Horizon | Number of years for explicit cash‑flow projection | Usually 5‑7 years for Indian listed firms |
Mathematical Framework of DCF
Where:
FCF_{t}= Free cash flow in year t (₹)WACC= Weighted Average Cost of Capital (decimal)n= Number of years in explicit forecast periodTV= Terminal value at end of year n (₹)Worked Example
Given a 3‑year forecast with FCF_{1}=₹120,000, FCF_{2}=₹150,000, FCF_{3}=₹180,000, WACC=10% (0.10) and TV=₹2,500,000: Step 1: PV_{1}=120,000/(1.10)^1=109,091 Step 2: PV_{2}=150,000/(1.10)^2=123,967 Step 3: PV_{3}=180,000/(1.10)^3=135,212 Step 4: PV_{TV}=2,500,000/(1.10)^3=1,876,730 Step 5: EV = 109,091 + 123,967 + 135,212 + 1,876,730 = 2,244,999 Verification: ΣPV + PV_{TV} = 2,244,999.
Where:
FCF_{n}= Free cash flow in the final forecast year (₹)g= Assumed perpetual growth rate (decimal)WACC= Weighted Average Cost of Capital (decimal)Worked Example
Assume FCF_{5}=₹200,000, WACC=10% (0.10) and g=3% (0.03): Step 1: Numerator = 200,000 × (1+0.03) = 206,000 Step 2: Denominator = 0.10 – 0.03 = 0.07 Step 3: TV = 206,000 / 0.07 = 2,942,857 Verification: 206,000 ÷ 0.07 = 2,942,857.
If the perpetual growth rate (g) equals or exceeds WACC, the terminal value becomes infinite or negative, which is not permissible. In Indian practice, keep g below 5% for mature companies.
Discounted Cash Flows Over a 5‑Year Forecast (₹ in thousands)
Step‑by‑Step DCF Valuation – Worked Example
Scenario
ABC Ltd., a listed Indian manufacturer, projects the following free cash flows (₹ in thousands): Year 1 – 120, Year 2 – 150, Year 3 – 180, Year 4 – 210, Year 5 – 240. The analyst estimates a WACC of 12% and a perpetual growth rate of 3% after Year 5. Compute the enterprise value using the DCF approach.
Solution
Step 1: Discount each forecasted FCF at 12%. PV1 = 120 / (1.12)^1 = 107.14 PV2 = 150 / (1.12)^2 = 119.55 PV3 = 180 / (1.12)^3 = 128.01 PV4 = 210 / (1.12)^4 = 133.27 PV5 = 240 / (1.12)^5 = 135.79 Step 2: Compute terminal value using Gordon growth. FCF5 = 240; g = 3% (0.03); WACC = 12% (0.12). TV = 240 × (1+0.03) / (0.12‑0.03) = 247.2 / 0.09 = 2,746.67 Step 3: Discount terminal value back to present. PV_TV = 2,746.67 / (1.12)^5 = 2,746.67 / 1.7623 = 1,558.90 Step 4: Sum all present values. EV = 107.14 + 119.55 + 128.01 + 133.27 + 135.79 + 1,558.90 = 2,182.66 (₹ thousands). Thus, the intrinsic enterprise value of ABC Ltd. is approximately ₹2.18 crore.
Conclusion
The example demonstrates how each component – forecast cash flows, discount rate, and terminal growth – interacts to produce the final valuation. Remember to keep g < WACC and to use WACC, not cost of equity, for discounting.
Practical Tips for the NISM Examination
When answering DCF questions, write down the formula first; the exam marks partial credit for correct structure even if arithmetic is off. Clearly label each variable and state the units (₹ and years). This signals to the evaluator that you understand the methodology.
Use the shortcut of calculating the present value factor (PVF) = 1/(1+WACC)^t for each year and multiply by the forecasted FCF. Many candidates forget to apply the same discount factor to the terminal value, leading to inflated valuations.
For multiple‑choice questions, eliminate options by checking whether the implied growth rate (g) would be higher than WACC. If it is, the choice is invalid. Also watch out for questions that provide Net Income instead of FCF – you must adjust for non‑cash items and capex before using the DCF formula.
- Memorise the DCF core formula and the Gordon growth terminal value.
- Always verify that g < WACC to avoid unrealistic terminal values.
⭐Exam Takeaways
- Free cash flow (FCF) is the cash available to all capital providers and is the basis for DCF calculations.
- Discount future cash flows using the firm’s WACC, not just the cost of equity.
- Enterprise Value = Σ (FCF_t ÷ (1+WACC)^t) + TV ÷ (1+WACC)^n.
- Terminal value via Gordon growth: TV = FCF_n × (1+g) ÷ (WACC‑g), with g kept below WACC.
- Common trap: using an overly high perpetual growth rate, which makes TV infinite or negative.
- Write the formula, label variables, and show at least one intermediate calculation for partial credit.
- Check that the implied g from answer choices is realistic for Indian firms (typically 2‑4%).
- Remember to convert percentages to decimals before substitution in the formula.
Practice Questions
8 questions on Discounted Cash Flows Model for Business Valuation
Free cash flow (FCF) is defined as the cash generated after which of the following?
When valuing a firm's enterprise value using the DCF method, which discount rate should be applied?
In the DCF valuation formula, the summation term Σ (FCF_t ÷ (1+WACC)^t) represents:
Using the Gordon growth model, what is the terminal value if FCF₅ = ₹200,000, WACC = 10% and g = 3%?
Which of the following is a common exam trap when applying DCF for enterprise valuation?
For ABC Ltd., after computing TV = ₹2,746.67 (₹ thousands) and discounting it 5 years at 12%, what is the present value of the terminal value?
If the perpetual growth rate (g) equals the WACC in the Gordon growth model, the terminal value will be:
Which source is typically NOT used to estimate the Weighted Average Cost of Capital (WACC) for an Indian firm?