Hypothetical worked example and primary educational references; not observed market data.
Define the cash stream before discounting
Discounted cash flow, or DCF, translates assumed future cash flows into a present-value estimate. The method is only as coherent as the cash-flow definition. Cash attributable to all modeled capital providers differs from cash attributable to equity after financing effects. The discount-rate assumption must match that scope, currency, and treatment of inflation. IFRS 13 offers a distinct accounting context for market-participant assumptions including risk; it does not prescribe this simplified investment model. IAS 7 supplies cash-reporting context. An analyst should first explain whose cash is being estimated and what obligations have already been deducted before choosing a rate.
Supporting references: 1. IFRS Foundation: IFRS 13
Calculate a finite hypothetical stream
Assume a project produces USD 100 at each year-end for three years, with no further cash afterward. At a hypothetical 10% discount rate, present value is 100 divided by 1.10, plus 100 divided by 1.10 squared, plus 100 divided by 1.10 cubed. The result is 248.69. The 10% assumption is not a current market rate or a promised return. It is a teaching input. The finite horizon avoids a terminal value so readers can inspect the effect of timing directly. A real ongoing business would normally require an explicit account of what happens after the forecast interval.
Supporting references: 2. IFRS Foundation: IAS 7
Hypothetical worked example
Hypothetical finite project present value
Model setup
Read these assumptions before comparing the scenarios.
- All monetary amounts in this example are hypothetical U.S. dollars (USD), not current prices, quoted account terms or observed market data. Percentages, counts, time periods and index levels retain their stated units.
- Net cash flow is USD 100 at each of three year-ends, then zero.
- Discount rate is a hypothetical 10%; initial-cost alternatives are 220 and 260.
Net present value (USD)
- 1. Lower initial cost
- 28.69
- 2. Higher initial cost
- -11.31
Shared zero-based value scale. Range: -11.31 to 28.69, in the units above. Case numbers match the labels; no probability or time trend is implied.
Hypothetical model, not observed market data or a forecast. Assumptions above; original values and calculations below.
| Case | Cash-flow present value (USD) | Initial cost (USD) | Net present value (USD) |
|---|---|---|---|
| Lower initial cost | 248.69 | 220 | 28.69 |
| Higher initial cost | 248.69 | 260 | -11.31 |
Calculation details
- Three-year present value
- 248.69 USD
(((100 / (1.1000000000000001 ^ 1)) + (100 / (1.1000000000000001 ^ 2))) + (100 / (1.1000000000000001 ^ 3))) - Lower-cost NPV
- 28.69 USD
((((100 / 1.1000000000000001) + (100 / (1.1000000000000001 ^ 2))) + (100 / (1.1000000000000001 ^ 3))) - 220)
Distinguish value from net project benefit
If the project requires 220 at inception, the hypothetical net present value is 28.69 after subtracting that initial investment from the 248.69 cash-flow value. If the initial cost is 260, net present value is negative 11.31. These results follow the assumed stream and discount rate, not observed project performance. A positive modeled result does not guarantee the company can finance the initial outlay or that the forecast cash will occur. Likewise, a negative result under one set of assumptions does not settle the decision if the project has material benefits or obligations excluded from the model. Identify omissions before interpreting the sign.
Supporting references: 2. IFRS Foundation: IAS 7
Treat timing as an economic input
Cash expected early is discounted less than equal cash expected later. A delayed receipt can therefore lower modeled present value even if the undiscounted total remains the same. End-of-year convention is convenient but may misrepresent businesses collecting cash throughout the year. Construction milestones, customer deposits, and project ramp-up can require more specific dates. Use a timing convention that fits the model's purpose and state it clearly. Do not add precision through complex discounting while leaving receipt dates unsupported. The most consequential timing assumption may be the commercial collection schedule rather than the number of decimal places used in the discount factor.
Supporting references: 2. IFRS Foundation: IAS 7
Include the reinvestment needed for the cash
Revenue growth and operating profit do not automatically become free cash. Inventory, receivables, equipment, and other resources may absorb funds before cash reaches the modeled claimants. A DCF that assumes growth without the capital required to deliver it can overstate value. Likewise, a model subtracting investment twice can understate value. Reconcile the forecast cash definition to the operating and financing structure. The hypothetical 100 payments are already stipulated net cash flows; no reinvestment is hidden inside them. Actual analysis needs evidence about the resources required to support each forecast period and the company's ability to maintain capacity beyond it.
Supporting references: 2. IFRS Foundation: IAS 7
Use the model to expose dependencies
DCF is most useful when it shows which assumptions drive the outcome and what evidence supports them. Test volume, margins, capital needs, timing, and rate assumptions in coherent scenarios rather than presenting a single point as fact. The three-year model isolates discounting and initial cost; it is not a securities recommendation or a projection for any business. Official sources provide valuation and accounting context, while the worked arithmetic is independent. A clear conclusion reports the conditional value, the key assumptions, and the uncertainties that could change it. The calculation can be exact even when its inputs remain uncertain.
Supporting references: 2. IFRS Foundation: IAS 7
Test another situationPrice a one-year delivery delay
A separate hypothetical case. Its inputs differ from the main worked example above.
Price a one-year delivery delay
Assume an independent hypothetical project pays USD 1,100 at the end of year one and requires USD 900 today. At an illustrative 10% annual discount rate, present value is USD 1,000 and net present value is USD 100. If the same receipt moves to the end of year two, its present value becomes approximately USD 909.09 and NPV approximately USD 9.09. The undiscounted receipt did not shrink, but delaying it consumed most of the modeled surplus. This comparison has no terminal cash, interim costs, tax, or financing flows. The discount input is a chosen scenario assumption, not a current quoted rate or promised return.
Supporting references: 1. IFRS Foundation: IFRS 13
Avoid charging the same delay risk twice
IFRS 13 acknowledges risk in valuation assumptions. In this investment illustration, identify whether the delayed scenario changes the dated cash stream, the risk adjustment, or both, and explain why. Automatically lowering forecast receipts and adding an unexplained rate premium can count the same concern twice. Conversely, moving the receipt without acknowledging additional survival or funding risk may omit a separate consequence. Match the currency, inflation treatment, and claimant of the cash stream to the rate. Then examine whether the project can fund the delay: a positive conditional NPV does not establish that the business can meet intervening payments.
Supporting references: 1. IFRS Foundation: IFRS 13
Check this case’s calculations
- Year-one receipt present value
- 1,000.00 USD
(1100 / 1.1000000000000001) - Year-one NPV
- 100.00 USD
((1100 / 1.1000000000000001) - 900) - Delayed receipt present value
- 909.09 USD
(1100 / (1.1000000000000001 ^ 2)) - Delayed NPV
- 9.09 USD
((1100 / (1.1000000000000001 ^ 2)) - 900)
Limits of this additional case
- The delay leaves the receipt amount unchanged and excludes interim cash needs; execution failure or additional funding cost would require another scenario.
Limits of this analysis
- Cash flows and discount rates are hypothetical assumptions, not forecasts or current market observations.
- The finite model excludes terminal value and possible strategic effects.
- A positive NPV does not establish funding availability or eliminate execution risk.
Sources and scope
- IFRS Foundation: IFRS 13
Fair value uses market-participant assumptions including risk.
Scope: IFRS measurement context; does not prescribe investment models or market prices.. Reference accessed 2026-10-06.
- IFRS Foundation: IAS 7
Cash flow presentation and the operating, investing and financing categories.
Scope: IFRS overview; classification details and US GAAP may differ.. Reference accessed 2026-10-06.
Illustrative calculations are not forecasts or personal recommendations. Editorial standards
