Дисконтированный денежный поток: значение, пример и риски
Discounted cash flow (DCF) is a valuation method that estimates the value of an investment from its expected future cash flows. It converts those projected amounts into present values using a discount rate that reflects the time value of money and risk. The result is an estimate rather than a guaranteed market price or investment outcome because it depends on forecasts and other assumptions.
Money expected in the future is not treated as equivalent to the same amount available today. DCF accounts for this principle by reducing, or discounting, each projected future cash flow according to when it is expected and the selected discount rate. The discounted amounts are then added together to estimate the investment’s present value. DCF can be applied to companies, equity, projects, and other assets with cash flows that can reasonably be estimated. It is a financial analysis concept rather than a promise that an asset will reach a particular price.
What discounted cash flow means
Discounted cash flow, abbreviated DCF, asks what expected future cash flows are worth today. Rather than adding undiscounted forecasts, the method applies a discount factor to each cash flow. Cash flows expected farther in the future generally receive a lower present value when the discount rate is positive. Risk must be reflected consistently through the cash-flow assumptions or the discount rate. The resulting figure is often described as an estimate of intrinsic value because it is derived from expected financial performance rather than directly from the current market price. A difference between estimated value and market price does not establish that either figure is correct.
Как это работает
The basic formula is DCF = Σ[CFₜ ÷ (1 + r)ᵗ], where CFₜ is the expected cash flow in period t, r is the discount rate, and t is the number of periods until the cash flow occurs. First, an analyst forecasts the relevant cash flows over the asset’s expected life or an explicit forecast period. If the asset is expected to continue beyond that period, the analysis may include a terminal value representing the value of later cash flows. Second, the analyst selects a rate consistent with the cash flows being valued. NYU Stern’s framework distinguishes between using the cost of equity for dividends or free cash flow to equity and the cost of capital for free cash flow to the firm. Third, each forecast cash flow and any terminal value are discounted to the present and summed. If an initial investment is subtracted from the discounted total, the resulting measure is net present value (NPV).
Практический пример
Assume a hypothetical small business is expected to produce $100 at the end of each of the next three years and then be sold for $1,000 at the end of year three. Using a 10% annual discount rate, the first $100 has a present value of $100 ÷ 1.10, or about $90.91. The second has a present value of $100 ÷ 1.10², or about $82.64. The third has a present value of $100 ÷ 1.10³, or about $75.13. The $1,000 sale amount has a present value of $1,000 ÷ 1.10³, or about $751.31. Together, the estimated present value is approximately $999.99, subject to rounding. This example only demonstrates the calculation. The cash flows, sale amount, and discount rate are assumptions, not predictions or recommendations.
Риски и ограничения
DCF is highly sensitive to its inputs. Forecast cash flows may not occur, and changing the discount rate can materially change the estimated value. For a continuing business or other long-lived asset, terminal value can represent a large part of the total, making assumptions about later performance especially important. DCF may also produce an intrinsic-value estimate that differs substantially from market price because market sentiment, liquidity, and other non-fundamental conditions can affect prices. The method is less suitable when cash flows are absent or too unpredictable to forecast reliably, as may be the case for some early-stage businesses or non-income-producing assets. Analysts can test multiple assumptions, but scenario analysis does not eliminate uncertainty.
Часто задаваемые вопросы
What is the purpose of discounted cash flow?
DCF estimates what expected future cash flows are worth today. The estimate may be compared with an investment’s current cost or market price, but that comparison does not guarantee that the investment is undervalued or overvalued.
What inputs does a DCF analysis need?
The principal inputs are expected future cash flows, their timing, and an appropriate discount rate. A terminal value may also be needed when the asset is expected to generate cash flows beyond the explicit forecast period.
Why is a discount rate used?
The rate converts future cash flows into present values and reflects the time value of money and risk. It should be consistent with the type of cash flow being discounted.
How is DCF different from NPV?
DCF calculates the present value of projected cash flows. NPV goes further by subtracting the initial investment or current cost from that discounted total.
Can DCF guarantee a profit?
No. DCF is an estimate based on assumptions. Actual cash flows, risks, and market prices may differ materially from the model.
Образовательная заметка: Этот материал объясняет рыночную концепцию; он не является индивидуальной инвестиционной рекомендацией.
Источники
- Board of Governors of the Federal Reserve System
- Microsoft Word - COM-STD-DAF_2009_5.doc
- Discounted Cash Flow (DCF) Model: Definition, Formula, & Training
- DISCOUNTED CASHFLOW MODELS: WHAT THEY ARE AND HOW TO CHOOSE THE RIGHT ONE..
- An Introduction to Valuation
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