Discounted Cash Flow (DCF) Explained With Formula and Examples (2024)

What Is Discounted Cash Flow (DCF)?

Discounted cash flow (DCF) refers to a valuation method that estimates the value of an investment using its expected future cash flows.

DCF analysis attempts to determine the value of an investmenttoday, based on projections of how much money that investment will generate in thefuture.

It can help those considering whether to acquire a company or buy securities. Discounted cash flow analysis can also assist business owners and managers in making capital budgeting or operating expenditures decisions.

Key Takeaways

  • Discounted cash flow analysis helps to determine the value of an investment based on its future cash flows.
  • The present value of expected future cash flows is arrived at by using a projected discount rate.
  • If the DCF is higher than the current cost of the investment, the opportunity could result in positive returns and may be worthwhile.
  • Companies typically use the weighted average cost of capital (WACC) for the discount rate because it accounts for the rate of return expected by shareholders.
  • A disadvantage of DCF is its reliance on estimations of future cash flows, which could prove inaccurate.

Discounted Cash Flow (DCF) Explained With Formula and Examples (1)

How Does Discounted Cash Flow (DCF) Work?

The purpose of DCF analysis is to estimate the money an investor would receive from an investment, adjusted for the time value of money.

The time value of money assumes that a dollar that you have today is worth more than a dollar that you receive tomorrow because it can be invested. As such, a DCF analysis is useful in any situation where a person is paying money in the present with expectations of receiving more money in the future.

For example, assuming a 5% annual interest rate, $1 in a savings account will be worth $1.05 in a year. Similarly, if a $1 payment is delayed for a year, its present value is 95 cents because you cannot transfer it to your savings account to earn interest.

Discounted cash flow analysis finds the present value of expected future cash flows using a discount rate. Investors can use the concept of the present value of money to determine whether the future cash flows of an investment or project are greater than the value of the initial investment.

If the DCF value calculated is higher than the current cost of the investment, the opportunity should be considered. If the calculated value is lower than the cost, then it may not be a good opportunity, or more research and analysis may be needed before moving forward with it.

To conduct a DCF analysis, an investor must make estimates about future cash flows and the ending value of the investment, equipment, or other assets.

The investor must also determine an appropriate discount rate for the DCF model, which will vary depending on the project or investment under consideration. Factors such as the company or investor's risk profile and the conditions of the capital markets can affect the discount rate chosen.

If the investor cannot estimate future cash flows or the project is very complex, DCF will not have much value and alternative models should be employed.

For DCF analysis to be of value, estimates used in the calculation must be as solid as possible. Badly estimated future cash flows that are too high can result in an investment that might not pay off enough in the future. Likewise, if future cash flows are too low due to rough estimates, they can make an investment appear too costly, which could result in missed opportunities.

Discounted Cash Flow Formula

The formula for DCF is:

DCF=CF1(1+r)1+CF2(1+r)2+CFn(1+r)nwhere:CF1=ThecashflowforyearoneCF2=ThecashflowforyeartwoCFn=Thecashflowforadditionalyearsr=Thediscountrate\begin{aligned}&DCF = \frac{ CF_1 }{ ( 1 + r ) ^ 1 } + \frac{ CF_2 }{ ( 1 + r ) ^ 2 } + \frac{ CF_n }{ ( 1 + r ) ^ n } \\&\textbf{where:} \\&CF_1 = \text{The cash flow for year one} \\&CF_2 = \text{The cash flow for year two} \\&CF_n = \text{The cash flow for additional years} \\&r = \text{The discount rate} \\\end{aligned}DCF=(1+r)1CF1+(1+r)2CF2+(1+r)nCFnwhere:CF1=ThecashflowforyearoneCF2=ThecashflowforyeartwoCFn=Thecashflowforadditionalyearsr=Thediscountrate

Example of DCF

When a company analyzes whether it should invest in a certain project or purchase new equipment, it usually uses its weighted average cost of capital (WACC) as the discount rate to evaluate the DCF.

The WACC incorporates the average rate of return that shareholders in the firm are expecting for the given year.

For example, say that your company wants to launch a project. The company's WACC is 5%. That means that you will use 5% as your discount rate.

The initial investment is $11 million, and the project will last for five years, with the following estimated cash flows per year.

Cash Flow
YearCash Flow
1$1 million
2$1 million
3$4 million
4$4 million
5$6 million

Using the DCF formula, the calculated discounted cash flows for the project are as follows.

Discounted Cash Flow
YearCash FlowDiscounted Cash Flow (nearest $)
1$1 million$952,381
2$1 million$907,029
3$4 million$3,455,350
4$4 million$3,290,810
5$6 million$4,701,157

Adding up all of the discounted cash flows results in a value of $13,306,727. By subtracting the initial investment of $11 million from that value, we get a net present value (NPV) of $2,306,727.

The positive number of $2,306,727 indicates that the project could generate a return higher than the initial cost—a positive return on the investment. Therefore, the project may be worth making.

If the project had cost $14 million, the NPV would have been -$693,272. That would indicate that the project cost would be more than the projected return. Thus, it might not be worth making.

Dividend discount models, such as the Gordon Growth Model (GGM) for valuing stocks, are other analysis examples that use discounted cash flows.

Advantages and Disadvantages of DCF

Advantages

Discounted cash flow analysis can provide investors and companies with an idea of whether a proposed investment is worthwhile.

It is an analysis that can be applied to a variety of investments and capital projects where future cash flows can be reasonably estimated.

Its projections can be tweaked to provide different results for various what-if scenarios. This can help users account for different projections that might be possible.

Disadvantages

The major limitation of discounted cash flow analysis is that it involves estimates, not actual figures. So the result of DCF is also an estimate. That means that for DCF to be useful, individual investors and companies must estimate a discount rate and cash flows correctly.

Furthermore, future cash flows rely on a variety of factors, such as marketdemand, the status of the economy, technology, competition, and unforeseen threats or opportunities. These can't be quantified exactly. Investors must understand this inherent drawback for their decision-making.

DCF shouldn't necessarily be relied on exclusively even if solid estimates can be made. Companies and investors should consider other, known factors as well when sizing up an investment opportunity. In addition, comparable company analysis and precedent transactions are two other, common valuation methods that might be used.

How Do You Calculate DCF?

Calculating the DCF involves three basic steps. One, forecast the expected cash flows from the investment. Two, select a discount rate, typically based on the cost of financing the investment or the opportunity cost presented by alternative investments. Three, discount the forecasted cash flows back to the present day, using a financial calculator, a spreadsheet, or a manual calculation.

What Is an Example of a DCF Calculation?

You have a discount rate of 10% and an investment opportunity that would produce $100 per year for the following three years. Your goal is to calculate the value today—the present value—of this stream of future cash flows.

Since money in the future is worth less than money today, you reduce the present value of each of these cash flows by your 10% discount rate. Specifically, the first year’s cash flow is worth $90.91 today, the second year’s cash flow is worth $82.64 today, and the third year’s cash flow is worth $75.13 today. Adding up these three cash flows, you conclude that the DCF of the investment is $248.68.

Is Discounted Cash Flow the Same As Net Present Value (NPV)?

No, it's not, although the two concepts are closely related. NPV adds a fourth step to the DCF calculation process. After forecasting the expected cash flows, selecting a discount rate, discounting those cash flows, and totaling them, NPV then deducts the upfront cost of the investment from the DCF. For instance, if the cost of purchasing the investment in our above example were $200, then the NPV of that investment would be $248.68 minus $200, or $48.68.

The Bottom Line

Discounted cash flow is a valuation method that estimates the value of an investment based on its expected future cash flows. By using a DFC calculation, investors can estimate the profit they could make with an investment (adjusted for the time value of money). The value of expected future cash flows is first calculated by using a projected discount rate. If the discounted cash flow is higher than the current cost of the investment, the investment opportunity could be worthwhile.

Discounted Cash Flow (DCF) Explained With Formula and Examples (2024)

FAQs

How do you calculate discounted cash flow DCF? ›

The discounted cash flow (DCF) formula is equal to the sum of the cash flow in each period divided by one plus the discount rate (WACC) raised to the power of the period number.

What is an example of a discounted cash flow method? ›

Example of DCF

The WACC incorporates the average rate of return that shareholders in the firm are expecting for the given year. For example, say that your company wants to launch a project. The company's WACC is 5%. That means that you will use 5% as your discount rate.

What is the simple DCF method? ›

The DCF method takes the value of the company to be equal to all future cash flows of that business, discounted to a present value by using an appropriate discount rate. This is because of the time value of money principle, whereby future money is worth less than money today.

What is discounting cash flows DCF involves? ›

Discounted cash flow (DCF) evaluates investment by discounting the estimated future cash flows. A project or investment is profitable if its DCF is higher than the initial cost. Future cash flows, the terminal value, and the discount rate should be reasonably estimated to conduct a DCF analysis.

What is the difference between NPV and DCF? ›

The main difference between discounted cash flow vs. net present value is that net present value subtracts upfront year 0 costs (in actual dollars estimated) from the sum of the present value of the cash flows. The discounted cash flow method doesn't subtract these initial costs that include capital expenditures.

What is the NPV formula for discounted cash flow? ›

NPV Formula. To calculate net present value, you need to determine the cash flows for each period of the investment or project, discount them to present value, and subtract the initial investment from the sum of the project's discounted cash flows.

What are the two types of DCF? ›

The most common variations of the DCF model are the dividend discount model (DDM) and the free cash flow (FCF) model, which, in turn, has two forms: free cash flow to equity (FCFE) and free cash flow to firm (FCFF) models.

What is the first step in DCF valuation? ›

The first step in the DCF model process is to build a forecast of the three financial statements based on assumptions about how the business will perform in the future. On average, this forecast typically goes out about five years. Of course, there are exceptions, and it may be longer or shorter than this.

What are the three main components of discounted cash flow method? ›

The three primary components of the DCF formula are the cash flow (CF), discount rate (r) and the number of periods (n) within the valuation timeframe.

Why do you discount cash flows in a DCF? ›

A core principle of finance is that $10 today is worth more than $10 a year from now. This principle is the “time value of money” concept and it's the foundation for DCF analysis. Projected future cash flows must be discounted to present value so they can be accurately analyzed.

Do you include interest expenses in DCF? ›

The cash flows exclude interest expense and debt principle payment. It is a debt-free model. The value determined by this method is invested capital, which typically is interest-bearing debt and equity.

What is the formula for discounted free cash flow to equity? ›

FCFF and FCFE are frequently calculated by starting with net income: FCFF = NI + NCC + Int(1 – Tax rate) – FCInv – WCInv. FCFE = NI + NCC – FCInv – WCInv + Net borrowing.

How to calculate FCF? ›

What is the Free Cash Flow (FCF) Formula? The generic Free Cash Flow (FCF) Formula is equal to Cash from Operations minus Capital Expenditures. FCF represents the amount of cash generated by a business, after accounting for reinvestment in non-current capital assets by the company.

What is the formula for discount rate in cash flow? ›

First, the value of a future cash flow (FV) is divided by the present value (PV) Next, the resulting amount from the prior step is raised to the reciprocal of the number of years (n) Finally, one is subtracted from the value to calculate the discount rate.

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