Using DCF Models to Assess Investment Opportunities

A DCF model is a financial tool used to estimate the value of an investment, such as a company, project, or asset, by forecasting its future cash flows and discounting them to their present value. The core idea is that the value of an investment is equal to the sum of its future cash flows, adjusted for the time value of money.

Free Cash Flow to the Firm (FCFF)

Free Cash Flow to the Firm is a measure of a company’s profitability that shows the cash generated by its operations available to all capital providers, including both equity and debt holders. It represents the cash flow from operations after accounting for operating expenses, taxes, changes in working capital, and capital expenditures.

\[
\text{FCFF} = \text{EBIT} \times (1 – \text{Tax Rate}) + \text{Depreciation and Amortization} – \Delta \text{NWC} – \text{CAPEX}
\]

Where:

  • EBIT: Earnings Before Interest and Taxes
  • NWC: Change in Net Working Capital
  • CAPEX: Capital Expenditures

Analysts often discount FCFF to determine the present value of a company. The discount rate used for FCFF is the Weighted Average Cost of Capital (WACC), which accounts for all capital providers (both equity and debt holders). The formula for WACC is:

\[
\text{WACC} = (w_d \times r_d) + (w_e \times r_e)
\]

Where:

  • w(d): Weight of debt
  • r(d)​: Cost of debt
  • ​w(e): Weight of equity
  • ​r(e): Cost of equity
Example:

Let’s assume we have the following projected FCFF for a company over the next 5 years:

  • Year 1: $100 million
  • Year 2: $120 million
  • Year 3: $140 million
  • Year 4: $160 million
  • Year 5: $180 million

Additionally, we estimate the terminal value of the company at the end of Year 5 to be $2 billion. The company’s WACC is 10%.

Steps to Discount FCFF

1. Calculate the Present Value (PV) of Each Year’s FCFF: The formula to discount each year’s FCFF is:

\[
\text{PV} = \frac{\text{FCFF}}{(1 + \text{WACC})^n}
\]

Where (n) is the year number.

\[
\text{Year 1:} \quad \text{PV} = \frac{100}{(1 + 0.1)^1} = 90.91 \, \text{million}\]
\[
\text{Year 2:} \quad \text{PV} = \frac{120}{(1 + 0.1)^2} = 99.17 \, \text{million}
\]
\[
\text{Year 3:} \quad \text{PV} = \frac{140}{(1 + 0.1)^3} = 105.18 \, \text{million}
\]
\[
\text{Year 4:} \quad \text{PV} = \frac{160}{(1 + 0.1)^4} = 109.15 \, \text{million}
\]
\[
\text{Year 5:} \quad \text{PV} = \frac{180}{(1 + 0.1)^5} = 111.37 \, \text{million}
\]

2. Calculate the Present Value of the Terminal Value: The terminal value is discounted back to its present value using the same WACC: 2/1.61051 = $1.2418 billion.

3. Sum the Present Values: Add the present values of the projected FCFFs and the terminal value to get the total value of the company: 90.91 + 99.17 + 105.18 + 109.15 + 111.37 + 1241.8 = $1.76 billion.

The estimated present value of the company, based on the discounted FCFF, is $1.76 billion.

Free Cash Flow to Equity (FCFE)

Free Cash Flow to Equity is a measure of how much cash is available to the equity shareholders of a company after all expenses, reinvestment, and debt payments have been made. It represents the cash flow that can potentially be distributed to equity holders, such as through dividends or share buybacks.

The formula to calculate FCFE is:

\[
\text{FCFE} = \text{Net Income} + \text{Depreciation and Amortization} – \Delta \text{NWC} – \text{CAPEX} + \text{Net Borrowing}
\]

Where:

  • NWC: Change in Net Working Capital
  • CAPEX: Capital Expenditures
  • Net Borrowing: The net amount of new debt issued minus debt repayments
Example:

Let’s assume we have the following projected FCFE for a company over the next 5 years:

  • Year 1: $50 million
  • Year 2: $60 million
  • Year 3: $70 million
  • Year 4: $80 million
  • Year 5: $90 million

Additionally, we estimate the terminal value of the company at the end of Year 5 to be $1 billion. The company’s cost of equity is 12%.

Steps to Discount FCFE

1. Calculate the Present Value (PV) of Each Year’s FCFE: The formula to discount each year’s FCFE is:

\[
\text{PV} = \frac{\text{FCFE}}{(1 + \text{Cost of Equity})^n}
\]

Where (n) is the year number.

\[
\text{Year 1:} \quad \text{PV} = \frac{50}{(1 + 0.12)^1} = 44.64 \, \text{million}\]
\[
\text{Year 2:} \quad \text{PV} = \frac{60}{(1 + 0.12)^2} = 47.85 \, \text{million}
\]
\[
\text{Year 3:} \quad \text{PV} = \frac{70}{(1 + 0.12)^3} = 49.88 \, \text{million}
\]
\[
\text{Year 4:} \quad \text{PV} = \frac{80}{(1 + 0.12)^4} = 50.71 \, \text{million}
\]
\[
\text{Year 5:} \quad \text{PV} = \frac{90}{(1 + 0.12)^5} = 51.03 \, \text{million}
\]

2. Calculate the Present Value of the Terminal Value: The terminal value is discounted back to its present value using the cost of equity:

\[
\text{PV of Terminal Value} = \frac{1000}{(1 + 0.12)^5} = 567.43 \, \text{million}
\]

3. Sum the Present Values: Add the present values of the projected FCFE and the terminal value to get the total equity value of the company:

\[
\text{Total Value} = 44.64 + 47.85 + 49.88 + 50.71 + 51.03 + 567.43 = 811.54 \, \text{million}
\]

The estimated present value of the company’s equity, based on the discounted FCFE, is $811.54 million.

These examples illustrate how to discount future cash flows to determine the present value of a company or company’s equity using the DCF method.

Conclusion

In conclusion, Discounted Cash Flow models provide a powerful framework for evaluating the intrinsic value of a company by estimating the present value of its future cash flows. This method allows investors to assess whether a stock or investment is fairly priced, undervalued, or overvalued based on its expected financial performance. While DCF models offer flexibility and are widely used, they rely heavily on assumptions about future cash flows, growth rates, and discount rates, making them sensitive to estimation errors. Despite these challenges, DCF remains a crucial tool in financial analysis and valuation.

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