discounted cash flow

Discounted Cash Flow: Formula, Model, Valuation and its Examples

Discounted cash flow is one of the key tools in finance. This is how much cash a company (or project, the asset) is worth. A tool that values the future cash by discounting it to the present value with the help of a discount rate. This gives you an idea of what you’ll actually receive today based on earning power down the road. You employ it when you want to determine whether an investment is worthwhile. It is very helpful when you want to buy or sell a business, project or stock. These calculations are quite straightforward and you can even do them very easily using a discounted cash flow calculator. This is the notion behind the present value and the future value. You will learn about discounted cash flow meaning, discounted cash flow formula, discounted cash flow method. We will also discuss how discounted cash flow model works, walk through a discounted cash flow example and explain why discounted cash flow analysis is relevant in the real world. You will also explore various discounted cash flow techniques and discover how discounted cash flow valuation can allow you to make sound investment decisions.

What is Discounted Cash Flow?

Discounted cash flow is the process of discovering the present value of future cash. It tells you how much you should pay today for an investment that gives you money in the future. If you expect to be paid ₹10,000 next year, then you must decide how much that ₹10,000 is going to be worth to you today. This is the fundamental concept behind discounted cash flow. When you put money in, you expect to get money back in the future. However, over the years and because of inflation money depreciates. ₹100 today was worth more than ₹100 a year later. So, investors apply discounted cash flow techniques to compare future cash to present value. So they can be make better decisions about purchasing or investing in a business.

Discounted Cash Flow Meaning in Simple Terms

Discounted cash flow is the process of bringing future cash down in value to today. It gives people ideas about what would be a fair value for a business or project. No, it is utilized in finance, banking, business valuation, and investment plans.

Where Do We Use DCF?

Discount rate is used in the discounted cash flow method. The rate may vary according to risk and inflation. When the investment is high risk, the discount rate is the highest. If it’s safe, the rate is going to be low.

  • To see if a company is worth what the shares are being sold in the marketplace.
  • To determine if a project will be profitable in future.
  • For determining the cost of property or factory units
  • To make intelligent decisions in startups or mergers.

How Does DCF Work?

To learn how to use discounted cash flow, you have to know three things: future cash flows, discount rate, and present value. Discounted cash flow (DCF) arrives at a value by estimating how much cash an investment will produce in the future, and discounting that cash back to the present-day value using a discount rate. That helps investors determine the actual value of an asset in today’s currency. Discounted cash flow (DCF) provides a means of determining fair value and is a commonly used method of ensuring rational investment decisions, comparing expected income to investment costs. If value > cost that means it is a good investment. It is a simple but effective way to determine the valuation of businesses, stocks, real estate, and massive projects.

The  Process of Discounted Cash Flow Analysis

Using the discounted cash flow analysis entails projecting future cash flows from an investment or project and discounting them back to their present value with a discount rate, often the weighted average cost of capital (WACC). This calculates the present value of an investment today by factoring in the time value of money. If the present value of cash flows exceeds the initial investment, then the project is financially sustainable. The complete process looks like this:

  1. Project Free Cash Flows: You initially project how much cash the business or project will generate every year.
  2. Select a Discount Rate– This is the rate used to bring future cash to a present value.
  3. Calculate Present Value: You apply the discounted cash flow formula to bring cash from each year to present value.
  4. Sum Present Values: You add all present values to derive total investment value.

This is the DCF formula:

CFn / (1 + r)^n = DCF = CF1 / (1 + r)1 + CF2 / (1 + r)2 + …

Where:

CF = Cash flow for each year

r = Discount rate

n = Number of years

discounted cash flow

Discounted Cash Flow Calculator

A discount cash flow calculator can be found online to save time in calculation. These calculators are used for practice by many Indian finance students. These tools require you to input the cash flows and discount rate you expect. The calculator will then provide you a total DCF value. A discounted cash flow calculator is a financial tool that enables you to rapidly determine the present value of future cash flows. You just plug in the expected annual cash flows, the discount rate and the number of years. It will then calculate the investment’s present value using the discounted cash flow formula. It saves time and helps minimise errors, making it ideal for both students and investors, as well as finance professionals.

Why is Discount Rate Important? 

The discount rate is a fundamental part of all discounted cash flow techniques. It indicates the risk associated with the investment. A higher rate = more risk = lower present value. A lower rate is a safer investment.

For example:

  • A 6% discount rate can be used for a government bond.
  • A startup might take a 15% rate or more because of high risk.

Discounted Cash Flow Formula 

The discounted cash flow (DCF) formula is: DCF = CF / (1+r)n. CF is the estimated cash inflow in period n, r is the interest rate over that period, and n is the number of time periods. In other words, DCF determines the present value of an anticipated asset’s cash inflow, and the lower the supposed value of the flow, the higher the anticipated cashflow in period n.

This method relies on the discounted cash flow formula. You want to do it carefully year by year and add all values together. The discounted cash flow equation serves as the basis for DCF analysis. It discounts future money to its present value using a constant, known as the discount rate. This formula demonstrates the value today of future earnings, making it [easier] to compare the real value of different investments. This formula is important for every finance student and investor to learn in order to make informed financial decisions.

Discounted Cash Flow Example

Here, we can elaborate on the formula by taking an example. Let us say you are going to invest ₹1,00,000 on a project. It will pay you ₹30,000 for 5 years. Assume you pick a 10% discount rate. Next, find the present value for each year:

YearCash Flow (₹)Discount Factor (10%)Present Value (₹)
130,0000.909127,273
230,0000.826424,792
330,0000.751322,539
430,0000.683020,490
530,0000.620918,627
Total PV₹1,13,721

This means that the total value of future ₹1,50,000 (30,000×5) is worth ₹1,13,721 today. Your cost is less than this value, a good investment.

Discounted Cash Flow Valuation

Investors also use discounted cash flow valuation to determine the fair price of any asset. It is used in various regions such as acquiring business, property investment, or assessing share value. Discounted cash flow valuation estimates the value of an investment based on the present value of its expected future cash flows. This allows investors to determine if an investment is under or over priced. It allows for a fair valuation of the asset as it can generate cash in real terms, rather than following market trends or moods.

When to Use DCF Valuation?

DCF valuation is best used when a company has stable and predictable cash flows. It works well for long-term investment decisions where future earnings can be reasonably estimated. This method suits mature businesses more than startups. You use DCF when:

  • The company has stable, predictable cash flows.
  • You want to estimate the value of a long-term project.
  • You invest in capital-intensive businesses like oil, power, or real estate.

You avoid DCF when

Discounted cash flow analysis is better suited to companies with consistent and predictable income streams.

  • The income of the business, well it has different nature.
  • Profit data are unclear 
  • You have no clue what future earnings will be.

Discounted Cash Flow Techniques

Discounted cash flow techniques includes various methods of the DCF which are used for investment, business structure or valuation goal. All of these techniques help you look at financials more closely and are directly related to limiting your perspective, whether when analyzing companies or valuing them. All three methods rely on the same basic idea of discounted cash flow, though they may differ in inputs and outputs depending on the usage. Now, let us consider the primary discounted cash flow methods one at a time.

1. Free Cash Flow to Firm (FCFF)

FCFF or Free Cash Flow to Firm is probably one of the most popular DCF methods. It computes the cash available to all capital providers — equity and debt holders alike — after accounting for operating costs and taxes but before any repayments of debts or dividends.

Key Features:

  • Typically used in firm valuation (both debt and equity).
  • That said, cash flows are before interest payments.
  • Discounted at WACC (Weighted Average Cost of Capital)

Formula:

FCFF= EBIT× (1−Tax Rate)+Depreciation−Capital Expenditure−Change in Working Capital

When to Use:

  • You wish to value a company as a total entity.
  • Perfect for mergers, acquisitions or companies with huge debts.

2. Free Cash Flow to Equity (FCFE)

FCFE, or Free Cash Flow to Equity, represents cash available only to equity shareholders after accounting for all expenses, taxes, debts, and any reinvestments.

Key Features:

  • Approaches the valuation with the shareholder perspective
  • Takes into account debt- repayments and interest

Formula:

FCFE = Net Income + Depreciation – Capital Expenditure – Change in Working Capital + Net Borrowing

When to Use:

  • You want to see how much equity holders get.
  • Most appropriate for businesses with a solid plan for paying off domestic debt or minimal debt.

3. Adjusted Present Value (APV)

The Adjusted Present Value separates the operational profitability of the business from the financing effects (such as tax shields from debt). It provides a detailed perspective on how debt affects business value.

Key Features:

  • Generally, the DCF is completed in two pieces, unlevered business value and financing impact.
  • Includes tax savings from interest on debt
  • Helpful when the capital structure of the company keeps on changing.

Formula:

APV = Project NPV (if financed with equity) + NPV of financing effects

When to Use:

  • Capital structure is not static.
  • You want to split out the effect of financing.

4. WACC-Based DCF Model

Most popular DCF technique This is the most popular DCF technique. It employs the WACC as the discount rate. WACC stands for ‘Weighted Average Cost of Capital’ which is the average cost a company pays to use debt and equity to fund its operation.

Key Features:

  • Easy to understand and apply.
  • Presumes a stable capital structure.
  • This is good for large, publicly traded companies with balanced debt and equity.

WACC Formula:

WACC = (E/V * Re) + (D/V * Rd * (1 - Tax Rate))

Where:

E = Market value of equity

D = Market value of debt

V = Total value (E + D)

Re = Cost of equity

Rd = Cost of debt

When to Use:

  • You know the capital structure and risk profile of the business.
  • Ubiquitous in traditional financial models.

5. Dividend Discount Model (DDM)

Dividend Discount Model (DDM) is a special case of discounted cash flow (DCF), which is a more general way to value an enterprise or a stock, but not all stocks pay regular dividends. It values a stock using future dividend payments.

Key Features:

  • Assuming anticipated growth in dividends.
  • Simple to apply.
  • Works perfectly only for firms with a stable dividend policy

Formula:

Value = D1 / (r – g)

Where:

D1 = Dividend expected next year

r = Discount rate

g = Growth rate of dividend

When to Use:

  • You are giving a price to a mature, dividend-issuing business.
  • Applicable in banking, FMCG, and utility sectors.

Relevance to ACCA Syllabus 

For ACCA Financial Management (FM) and Strategic Business Leader (SBL) papers it forms part of the capital budgeting, business valuation and investment appraisal components. Learning how to value companies using DCF techniques is essential in both exam circumstances and real life positions within financial strategy.

Discounted Cash Flow ACCA Questions

Q1: What is needed to determine discounted cash flow?

A) Market share

B) Cash flow forecasts

C) Current liabilities

D) Gross profit margin

Ans: B) Cash flow forecasts

Q2: Why is a discount rate used in DCF?

A) To include tax effects

B) How to size for working capital

C) Be adjusted to reflect time value of money

D) To correct the balance sheet

Answer: C) To account for time value of money

Q3: In DCF formula the component in denominator (1 + r)n refers to:

A) Compounding future value

B) Present value discounting

C) Risk adjustment

D) Sales growth

Answer: B) Discounting to present value

Q4: A company receives cash inflows of ₹50,000 per annum for 4 years. The discount rate is 10%. What is the best tool to determine the value of the project?

A) Payback period

B) Profit margin

C) Discounted cash flow calculator?

D) Liquidity ratio

Answer: C) Discounted cash flow calculator

Q5: What if DCF is less than cost of investment?

A) Investment should go ahead

B) Investment is at breakeven

C) You may not make money on investment

D) Investing provides proud IRR

Answer: C) Investment possibly not profitable

Relevance to US CMA Syllabus

In Part 2 of US CMA exam – Strategic Financial Management, it is discussed under capital budgeting. Candidates are required to assess net present value (NPV), internal rate of return (IRR) and make long-term investment and financial planning decisions based on the DCF.

Discounted Cash Flow US CMA Questions

Q1: In DCF, the discount rate usually represents:

A) The inflation rate

B) The company’s market share

C) Required rate of return or cost of capital

D) Current liabilities

Answer: C) cost of capital, or required rate of return

Q2: Constructing DCF model is based on more uncertain assumptions which is one main disadvantage of DCF model.

A) It takes into account the time value of money

B) It does not take the discounting into account

C) It is heavily dependent on cash flow projections

D) It only works best in case of public companies

Answer: C) It depends on cash flow estimates.

Q3: The correct answer is the WACC is not used in DCF.

A) Cost of debt

B) Cost of equity

C) Weighted average return

D) Revenue growth

 Answer: D) Revenue growth

Q4: What does a positive DCF value of a project mean?

A) Project is risky

B) Project is not viable

C) Project should be rejected

D) Project creates value for the company

Ans: B) Project adds value to the firm

Q5: In terms of the decisions that DCF helps most, which of the following helps DCF the most?

A) Expense categorization

B) Selection of investments for the long run

C) Budgeting office supplies

The answer is: D) Reconciling bank statements

Answer: B) Long-term investment selection

Relevance to US CPA Syllabus

The US CPA examination covers DCF in the context of asset valuation, impairment testing and decision-making, particularly in FAR (Financial Accounting and Reporting) and BEC (Business Environment and Concepts). Candidates need to know the rules of implementing DCF in financial statements and audits.

Discounted Cash Flow US CPA Questions

Q1: In accounting decisions, DCF is most useful in which of the followings?

A) Payroll processing

B) The asset impairment test

C) Inventory valuation

D) Tax return preparation

Answer: B) Impairment testing of assets

Q2: What aspect of a company’s finances is directly excluded from a DCF-valuation?

A) Discount rate

B) Future cash flows with projections

C) Net income

D) Time period

Answer: C) Net income

Q3: DCF is a method used to ascertain value in US GAAP for:

A) Market capitalization

B) Book value

C) Fair value of long-term assets

D) Historical cost

Answer: C) Long-term assets fair value

Q4: What does the DCF model discount rate signify?

A) Government bond rate

B) Inventory turnover

C) Investor’s expected return

D) Revenue target

Ans: C) Investor’s expected return

Q5: DCF helps a company decide if they should buy another business. This is an example of:

A) Tax calculation

B) Transaction audit

C) Financial valuation

D) Bookkeeping

Answer: (C) Financial valuation

Relevance to CFA Syllabus

You already know that DCF is one of the core concepts taught in CFA Level I and II across subjects like corporate finance and equity valuation. To analyze the value of securities, projects, and companies, candidates need to grasp DCF principles. It’s also important for modeling financial statements and risk-adjusted returns.

Discounted Cash Flow CFA Questions

Q1: The DCF model most popular in equity valuation is:

A) Payback period model

B) Using the Dividend Discount Model (DDM)

C) Net working capital model

D) Current ratio

Answer: B) Dividend Discount Model (DDM)

Q2: What of these is true of DCF and intrinsic value?

A) DCF gives market price

B) DCF ignores cash flows

C) DCF projects intrinsic value

D) DCF is applicable only to debt securities

Answer: C) Value of DCF intrinsic estimates

Q3: Which kind of companies seems most appropriate for traditional DCF analysis?

A) Companies with lumpy cash flows

B) Early growth stage companies

C) Businesses that have steady and predictable cash flows

D) Firms with zero revenue

Answer: C) Firms that have stable and predictable cash flows

Q4: Overall, a higher beta which reflects higher risk in the DCF model would more likely be:

A) Reduce discount rate

B) Increase intrinsic value

C) Increase discount rate

D) Decrease risk level

Answer: C) Increase discount rate

Q5: What DCF input that increases risk if it`s overrated?

A) Terminal value

B) Tax rate

C) Discount rate

D) Depreciation

Answer: C) Discount rate