--- title: "The Hockey-Stick Projection: The Quiet Arithmetic of Year Four" description: "A hockey-stick projection is a revenue curve that steepens after a given year without an articulated cause. The defect is not the shape but the absence of an event behind it. The operative test is whether the inflection originates in a growth-rate cell or in a discrete, dated, owned occurrence such as commissioning, permitting or contract execution." url: https://www.beirek.com/en/blog/hockey-stick-projection canonical: https://www.beirek.com/en/blog/hockey-stick-projection published: 2025-12-08 modified: 2025-12-08 category: "Entrepreneurship" category_url: https://www.beirek.com/en/blog/category/entrepreneurship language: en-US reading_time_minutes: 8 publisher: BEIREK LLC publisher_url: https://www.beirek.com license: "© BEIREK LLC — citation with attribution and link permitted" keywords: ["hockey-stick projection","revenue forecasting discipline","covenant calibration","investment committee due diligence","assumption register","pre-mortem analysis"] topics: ["Financial projection integrity in capital-intensive projects","Behavioural bias in corporate planning cycles","Valuation discount mechanics in due diligence","Commitment sequencing and working capital exposure"] alternate_language_url: https://www.beirek.com/tr/blog/hockey-stick-projection --- # The Hockey-Stick Projection: The Quiet Arithmetic of Year Four > **In short:** A hockey-stick projection is a revenue curve that steepens after a given year without an articulated cause. The defect is not the shape but the absence of an event behind it. The operative test is whether the inflection originates in a growth-rate cell or in a discrete, dated, owned occurrence such as commissioning, permitting or contract execution. *The steepening portion of a revenue model is examined less closely than the flat portion, largely because it is read as a statement of intent rather than as a forecast. The institutional cost of that asymmetry emerges once revenue remains an assumption while cost becomes a contract; the corrective lies in tying the steepness of the curve to a nameable event.* --- When a five-year revenue model appears on the screen in an investment committee session, the distribution of scrutiny is largely predictable: questions gather around the first-year customer count, the collection assumption of the opening quarter, the hiring calendar and supplier payment terms, while the segment of the curve that steepens in the third or fourth year tends to be read not as a forecast but as a statement of intent, and is examined with markedly less rigour. The distance between the evidentiary standard demanded of the flat segment and the standard demanded of the steep one determines, by itself, the quality of the decision reached in that room. Along the flat segment each line is anchored to a contract, an order or a closed period; along the steep segment a single percentage cell carries the entire weight of the case, and behind that cell there generally sits an expectation rather than an event. The same pattern is observable in corporate budget cycles in which no external financing is being sought at all. In a business unit's three-year plan, growth accelerates, almost without exception, just past the point at which the plan owner's own accountability horizon ends — measured in year one, transitional in year two, discontinuous in year three. What is notable when the plan is refreshed twelve months later is that the shape of the curve survives intact and merely shifts one year to the right: the same jump, supported by the same reasoning, is carried into a later period, and that displacement is rarely minuted as a decision in its own right. Three consecutive planning cycles placed side by side reveal not a growth trajectory but a single curve in perpetual postponement, each iteration inheriting the credibility of the one before it without ever having earned any of its own. In sector usage this shape is called a hockey-stick projection — a forecast assuming that revenue will multiply beyond a given point without an articulated cause — and its mechanics operate across two layers. The first concerns the grammar of the model itself: revenue in most spreadsheets is not built forward but solved backward from a required outcome, and with the target valuation, the fund's internal return threshold or the lender's debt service expectation held fixed, the only genuinely free variable remaining is the growth-rate cell, which is then tuned until the result clears the threshold. The second layer concerns timing. Because the steep segment cannot be falsified today, it carries no cost today; the optimism is placed on a horizon by which the decision maker, the operating team and frequently the sponsor itself will have changed, so that the period bearing the consequence is never the period making the commitment. Labelling this tendency an error overlooks half of the matter. There are businesses that genuinely behave discretely, and their revenue curves steepen by nature rather than by wishfulness: an asset under construction reaching commercial operation, a permit or licence being granted, a long-term offtake agreement being executed, a production line being commissioned, a certification being completed. In a project finance model, revenue stepping from zero to full capacity on the COD date is a legitimate shape, because the inflection derives from a dated event rather than from an assumption. The distinguishing test, accordingly, is not the steepness of the curve but its source: where the inflection can be named, dated and assigned to an owner, the structure holds; where it cannot, the steep segment is not a plan at all but an aspiration standing in the place of one. The institutional cost, contrary to intuition, arises on the expense side rather than the revenue side. The steep segment does not merely generate a revenue expectation; it generates a headcount plan sized against that expectation, a lease commitment, an equipment order, an inventory level and a working capital requirement, all of which are executed during the period in which the curve is still flat. The asymmetry sits precisely here: revenue remains an assumption, capable of sliding, while cost converts into a contract that cannot. When the inflection arrives a year late, the revenue curve shifts right without difficulty, but the lease term, the severance exposure and the supplier commitment do not shift with it; the cash gap was created not in the months when revenue failed to arrive, but in the month when expenditure was fixed. On the financing side the same structure surfaces through covenant calibration. Where debt service capacity, DSCR thresholds and cash sweep triggers are set against the average of the steep segment, the first breach typically originates in a plan running twelve months behind rather than in any collapse of the underlying business; from the lender's perspective the distinction is immaterial, since a breach is a breach and the negotiating table that follows one is constructed to the sponsor's disadvantage. In M&A the same curve migrates into the earn-out structure: a seller accepting that portion of the headline price which depends on the steep segment is, in substance, selling not the price but its own confidence in its own projection, while for the buyer the headline figure functions as a communication number and the realised curve determines the price actually paid. The most durable effect on valuation accumulates not within a single period but across successive ones. In a second financing round, or in a sale process, what the counterparty actually prices is not the new plan but the distance between the previous plan and what occurred, that distance serving as the cheapest and most reliable available indicator of the organisation's forecasting capacity. The work conducted at the due diligence table follows the same logic: the reviewing party builds a bridge from historical run-rate to projection and sorts revenue lines into three categories — contracted, supported by documented pipeline, and arising from structural assumption alone. As the third category's share of the total rises, the discount applied tends to increase not linearly but at an accelerating rate, since that share doubles as a proxy for the degree to which revenue depends on the founder's personal relationships. What neutralises this tendency is not greater caution on the part of the plan owner but a change in how the plan is constructed, and the intervention separates into four components. The first is inflection decomposition: for every period in which the curve steepens, the event producing the jump is recorded with its name, its date, its preconditions and its owner, and any jump that cannot be named is removed from the model. The second is capacity reconciliation: whether the revenue can be physically produced is tested in a separate schedule against production lines, field crews, installation throughput, closed business per sales representative and supply lead times, capacity constraint being the least expensive antidote to optimism available. The third is assumption ownership, each assumption being logged with its owner at the moment of proposal rather than at the moment of approval. The fourth is the displacement test, in which each plan is placed alongside the prior year's plan and the persistence of the curve's shape is discussed as a distinct agenda item. In the mandates BEIREK manages, these four components are operated as an element of project management rather than of planning discipline. The revenue curve is reconciled line by line against the engineering and commissioning schedule; each revenue item is assigned to one of the contracted, documented-pipeline or structural-assumption classes, and that classification is maintained in an assumption register alongside its owner, its date and its supporting basis. The subject of the monthly review meeting is not the variance itself but the assumption producing the variance; where an item falls short of plan, the question raised is not how far behind the figure has fallen, but which precondition failed to materialise and which party carried responsibility for it. The distinction sounds procedural, yet it determines whether a shortfall is treated as noise or as information. The pre-mortem exercise conducted before FID builds the same logic in reverse. With the project not yet approved, the working assumption is that two years hence the plan is running a year late, and the preconditions that could plausibly have produced that delay are listed backward from the outcome; for each item on that list a decision follows — a contractual protection, a phasing decision, or a decision to defer commitment altogether. The output of the exercise is not a more conservative model but a narrowed distance between the commitment calendar and the revenue calendar. Which expenditures will remain uncontracted if the inflection slips is a determination made at the outset of the project, and that determination establishes how long the company survives in the event the inflection does not arrive at all. The credibility of a plan is not read from the steepness of its curve; it is read from whether the item producing that steepness carries a name, a date and an owner. The question genuinely before an investment committee or a board is therefore not whether the growth will materialise, but which commitments the company will be left holding in the period during which it does not. ## Key Points - The gap between the evidentiary standard applied to the flat portion of a revenue model and the standard applied to the steep portion determines, on its own, the quality of the decision taken on that model. - A steep curve is defensible when the inflection is anchored to an event that can be named, dated and assigned to an owner; it is not defensible when it rests on a growth-rate assumption alone. - The material cost of an optimistic projection accrues on the expense side rather than the revenue side, because headcount, lease and equipment commitments harden into contracts while revenue remains an assumption. - When a covenant package is calibrated against the steep portion of the curve, the first breach typically arises from a plan running one year late rather than from any deterioration in the business. - In a second financing round the counterparty prices the distance between the prior plan and realised performance, which functions as the cheapest available measure of an organisation's forecasting discipline. ## Questions ### Is a hockey-stick projection always problematic? No. In businesses that behave discretely, a steep curve is legitimate: commissioning a facility, receiving a licence or executing a long-term offtake agreement can move revenue in a single step. The distinguishing criterion is the source of the inflection rather than its gradient. Where the break can be named, dated and assigned to an owner, the structure is defensible; where it rests solely on a growth-rate assumption, it is not. ### How does an investor test whether a revenue projection is realistic? The typical approach builds a bridge from historical run-rate to projection and sorts revenue lines into three classes: contracted revenue, revenue supported by documented pipeline, and revenue arising from structural assumption alone. A capacity test is layered on top, checking whether the forecast volume can be physically produced by existing manufacturing, field and sales capacity. As the third class grows as a share of the total, the applied discount tends to increase at an accelerating rate. ### Where does an overly optimistic plan actually damage a company? The damage generally occurs on the expense side rather than the revenue side. Headcount, lease, equipment and inventory commitments sized against the steep curve are contracted before the revenue arrives; revenue can slide as an assumption, whereas those commitments cannot. When the inflection is delayed by a year, the cash gap originates not in the month revenue failed to appear but in the month expenditure was fixed, and that gap frequently consumes the entire working capital cycle. ### How can recurring growth jumps be controlled in a corporate budget process? The simplest effective mechanism is the displacement test: each year's plan is placed alongside the prior year's plan and the persistence of the curve's shape is discussed as a distinct agenda item. An assumption ownership record supports it, with every assumption logged at the moment of proposal rather than approval, together with its owner and its supporting basis. Postponement of the inflection then ceases to be an invisible correction and becomes an explicit decision. --- Source: https://www.beirek.com/en/blog/hockey-stick-projection Publisher: BEIREK LLC — https://www.beirek.com