Valuing Firms Using Present Value Of Free Cash Flows
Decisions to invest can be made based on simple analysis such as finding a company you like with a product you think will be in demand in the future. The decision might not be based on scouring the financial statements, but the underlying reason for picking this type of company over another is still sound. Your underlying prediction is that the company will continue to produce and sell high-demand products and thus will have cash flowing back to the business. The second, and very important, part of the equation is that the companys management knows where to spend this cash to continue operations. A third assumption is that all of these potential future cash flows are worth more today than the stocks current price.
To place numbers into this idea, we could look at these potential cash flows from the operations, and find what they are worth based on their present value. In order to determine the value of a firm, an investor must determine the present value of operating free cash flows. Of course, we need to find the cash flows before we can discount them to the present value.
Calculating Operating Free Cash Flow
Operating free cash flow (OFCF) is the cash generated by operations, which is attributed to all providers of capital in the firms capital structure. This includes debt providers as well as equity. Calculating the OFCF is done by taking earnings before interest and taxes and adjusting for the tax rate, then adding depreciation and taking away capital expenditure, minus change in working capital and minus changes in other assets. Here is the actual formula:
OFCF = EBIT(1-T) + depreciation - CAPEX - ??working capital - ??any other assets
Where:
EBIT = earnings before interest and taxes
T= tax rate
CAPEX = capital expenditure
This is also referred to as the free cash flow to the firm, and is calculated in such as way to reflect the overall cash-generating capabilities of the firm before deducting debt related interest expenses and non-cash items. Once we have calculated this number, we can calculate the other metrics needed such as the growth rate. (These five qualitative measures allow investors to draw conclusions about a corporation that are not apparent on the balance sheet. check out Using Porters 5 Forces To Analyze Stocks.)
Calculating the Growth Rate
The growth rate can be difficult to predict and can have a drastic effect on the resulting value of the firm. One way to calculate it is to take the return on the invested capital (ROIC) multiplied by the retention rate. The retention is the percent of earnings that are held within the company and are not paid out as dividends. This is the basic formula:
g = RR x ROIC
Where:
RR= average retention rate, or (1- payout ratio)
ROIC= EBIT(1-tax)/total capital
Present Value of Operating Free Cash Flows
The valuation method is based on the operating cash flows coming in after deducting the capital expenditures, which are the costs of maintaining the asset base. This cash flow is taken before the interest payments to debt holders in order to value the total firm. Only factoring in equity, for example, would provide the growing value to equity holders. Discounting any stream of cash flows requires a discount rate, and in this case it is the cost of financing projects at the firm. The weighted average cost of capital (WACC) is used for this discount rate. The operating free cash flow is then discounted at this cost of capital rate using three potential growth scenarios; no growth, constant growth and changing growth rate.
No Growth
To find the value of the firm, discount the OFCF by the WACC. This discounts the cash flows that are expected to continue for as long as a reasonable forecasting model exists.
Firm Value = ? Operating Free Cash Flowst
(1+WACC)t
Where:
Operating Free Cash Flows = the operating free cash flows in period t
WACC = weighted average cost of capital
If you are looking to find an estimate for the value of the firms equity, subtract the market value of the firms debt.
Constant Growth
In a more mature company you might find it more appropriate to include a constant growth rate in the calculation. To calculate the value, take the OFCF of next period and discount it at WACC minus the long-term constant growth rate of the OFCF.
Value of the firm = ?OFCF1
k-g
Where:
OFCF1 = operating free cash flow
k = discount rate (in this case WACC)
g = expected growth rate in OFCF
Multiple Growth Periods
Assuming the firm is about to see more than one growth stage, the calculation is a combination of each of these stages. Using the supernormal dividend growth model for the calculation, the analyst needs to predict the higher-than-normal growth and the expected duration of such activity. After this high growth, the firm might be expected to go back into a normal steady growth into perpetuity. To see the resulting calculations, assume a firm has operating free cash flows of $200 million, which is expected to grow at 12% for four years. After four years, it will return to a normal growth rate of 5%. We will assume that the weighted average cost of capital is 10%. (Learn about the components of the statement of financial position and how they relate to each other. See Reading The Balance Sheet.)
Multi-Growth Periods of Operating Free Cash Flow (in Millions)
Period OFCF Calculation Amount Present Value
1 OFCF1 $200 x 1.121 $224.00 $203.64
2 OFCF 2 $200 x 1.122 $250.88 $207.34
3 OFCF 3 $200 x 1.123 $280.99 $211.11
4 OFCF 4 $200 x 1.124 $314.70 $214.95
5 OFCF 5 … $314.7 x 1.05 $330.44
$330.44 / (0.10 - 0.05) $6,608.78
$6,608.78 / 1.104 $4,513.89
NPV $5,350.92
Table 1: The two stages of the OFCF goes from a high growth rate (12%) for four years followed by a perpetual constant 5% growth from the fifth year on. It is discounted back to the present value and summed up to $5.35 billion dollars.
Both the two-stage dividend discount model (DDM) and FCFE model allow for two distinct phases of growth: an initial finite period where the growth is abnormal, followed by a stable growth period that is expected to last forever. In order to determine the long-term sustainable growth rate, one would usually assume that the rate of growth will equal the long-term forecasted GDP growth. In each case the cash flow is discounted to the present dollar amount and added together to get a net present value.
Comparing this to the companys current stock price can be a valid way of determining the companys intrinsic value. Recall that we need to subtract the total current value of the firms debt to get the value of the equity. Then, divide the equity value by common shares outstanding to get the value of equity per share. This value can then be compared to how much the stock is selling for in the market to see if it is over- or undervalued.
The Bottom Line
Calculations dealing with the value of a firm will always use unique methods based on the firm being examined. Growth companies might need a two-period method when there is higher growth for a couple years. In a larger, more mature company you can use a more stable growth technique. It always comes down to determining the value of the free cash flows and discounting them to today. (Calculate whether the market is paying too much for a particular stock.
