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GuidePublished 16 Aug 202616 min readBy KEVOS Editorialrisk versus uncertaintycoefficient of variationskewed cost distributionsportfolio diversification
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KEVOS AIRisk and Uncertainty in R&D Financial Analysis

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Project DeliveryResearch ProjectsAdvancedRd Project Management

Risk and Uncertainty in R&D Financial Analysis

The dividing line in this 1984 framing is whether a probability distribution of outcomes exists at all — and the source then widens uncertainty to cover a second case, distributions so skewed that statistics stops helping. The measurement regime that feeds both is on the same page.

Reading time18 minutes
LevelAdvanced
Topic streamRd Project Management
Source materialR&D Management Papers
Updated2026-08-16

In brief

  • Risk is used where a distribution of outcomes can be calculated or inferred; uncertainty is reserved for the residual cases where a non-probabilistic distribution is likely, or feared.
  • The source then extends the definition. Uncertainty also covers excessively skewed distributions — the projects that escape R&D management control, or threaten to.
  • Risk calls for statistics: coefficient of variation, diversification, a deliberately crude linear adjustment. Uncertainty calls for a cutoff and a different objective — regaining control, not measuring.
  • Real cost distributions are stated to be skewed and one-tailed, with the preestimate off the mean. Any tool assuming symmetric error around the estimate is misspecified.
  • Measurement supplies the inputs for both: four measurements per completed project, and cost outcomes by supervisor as a percentage of preestimate.

Two words that are not synonyms

Most working documents use risk and uncertainty interchangeably. R3 does not, and the distinction determines which machinery applies. Getting it wrong does not produce a slightly worse analysis; it produces a confident analysis of the wrong kind of situation.

From the source

The definitions as the source gives them

The economic-theory distinction it starts from: the difference is often based on whether the probability distribution of outcomes is known or unknown.

The paper's own usage: where known distributions of outcomes can be calculated or inferred, the term risk is preferred — explicitly because it continues the article's principal thrust toward quantification of the R&D investment process. Only for the residual cases where a non-probabilistic distribution of outcomes is likely, or feared, is the term uncertainty used.

The extension, added later: uncertainty is a situation in which the probability distribution of outcomes is unknown — and for practical reasons that definition is incomplete without adding those situations where the distribution is excessively skewed. These are the projects that escape R&D management control, or threaten to do so.

Two things follow. Risk is the default by preference rather than by evidence — the paper says so. And the extension turns the category from an epistemic one into an operational one: a skewed distribution is knowable, and the reason it is filed under uncertainty is that the project is escaping control.

The two terms, compressed

Risk
The situation in which a distribution of outcomes can be calculated or inferred. Handled by quantification: means, standard deviations, coefficients of variation, portfolio effects.
Uncertainty
The residual: a non-probabilistic distribution of outcomes is likely or feared, or the distribution is excessively skewed. These are the projects escaping management control, or threatening to.
Risk, as measured for hurdles
The amount by which anticipated profit is likely to vary with the economic cycle.

Where the risk comes from, and who is averse to it

R3 traces every source of risk to one cause — imperfect knowledge of the future — then splits it by side of the ledger.

The cost side

  • Estimates of development and product costs have inherent inaccuracies of a predictable and measurable sort.
  • They may also be biased up or down owing to the frailties of human nature, and owing to weaknesses in the R&D management and control procedures themselves.
  • So part of the bias is a property of the organisation, not of the estimator — and more statistics will not remove it.

The benefit side

  • Forecasts of future markets; market shares that indicate expected sales; margins specifying rates of return.
  • All stated to be equally subject to variation.
  • The paper does not treat the commercial forecast as firmer ground than the cost estimate.

The common denominator is stated plainly: all classifications of the sources of risk reduce to the potential for unforeseen variations, up and down, in predicted cash flows both inward and outward. Another paper in this set decomposes uncertainty by origin rather than by ledger side — see Sources of Uncertainty in R&D Projects.

WHO WANTS WHICH RISK, AND WHY

PartyDispositionThe reason the source gives
The financial director of a firmTends to be risk averseThe concern is bankruptcy from a succession of unexpectedly large negative cash flows
The individual entrepreneur and the venture capitalistMay be risk seekingPrepared to lose a small stake for potentially large returns if all goes to plan or better
Most corporationsTend to be risk averseEven though stockholders have limited liability, they expect profits and are disturbed by losses

This is why a risk adjustment has to be declared rather than embedded: the same number reads as prudent or as timid depending on who is looking at it.

The machinery risk calls for

Where a distribution exists, R3 works with the standard statistical apparatus, and its metric of choice is deliberately dimensionless. The coefficient of variation is defined as the ratio of the dispersion — the standard deviation — to the mean, and the paper treats it as a measure of technical risk. In the idealised case the mean of outcomes would be exactly the preestimated value, with dispersion about the mean depending on the quality of R&D management. That is the textbook picture.

Caution

The idealised picture is stated to be wrong in practice

In the author's experience, real distributions are not governed by chance but are skewed, because if something can go wrong, it will. The distribution is one-tailed, skewed toward a few projects whose costs greatly exceed preestimates, and the preestimate is not the mean.

So any tool assuming symmetric error around the estimate is misspecified, and a symmetric confidence range systematically understates the bad side.

The paper adds a twist: people are naturally reluctant to forecast lower profits than necessary, and where the financial measure is dominated by costs the tail runs the other way. Marketing and engineering estimates are biased in opposite directions, and averaging them does not cancel the bias.

R3 also warns off the obvious repair. It is tempting to weight for bias in the preestimates plus the coefficient of variation of costs and benefits — but that move is stated to ignore both the portfolio of projects and the risk aversion of management. Those two omissions are what the rest of the machinery handles.

The portfolio treatment, in order

  1. Treat the projects as a portfolio

    Because R&D has the characteristics of an investment, a group of projects can be considered in the same terms as a portfolio of tangible investments.

  2. Claim the diversification benefit, conditionally

    Unless all projects are positively correlated, the level of relative risk should be lessened by diversification. The condition does real work — projects that all depend on the same technology or market are not diversified in this sense.

  3. Measure concentration

    One concrete portfolio-risk metric is offered: the fraction of the portfolio represented by its largest project. It is a rule proposed by the author with no threshold value, so it tells you the direction of a change, not whether a level is acceptable.

  4. Set the offsetting force against it

    Most corporations tend to be risk averse. Diversification pushes the assessment one way and risk aversion the other, and both belong in the same adjustment.

R3 then studies the two offsetting factors using a power-series expansion — defined in the paper as the sum of coefficients multiplied by powers of the independent variable, for powers from zero to infinity. Because coefficients of variation take usual small values, limiting the series to quadratic form is asserted to be reasonable. That step is an analytical rule the author states rather than demonstrates.

From the source

The conclusion, and the unexpectedly crude recommendation

The principal conclusion is that risk aversion and the benefits of portfolio diversification have quadratic forms of opposite sign — with the careful addition that this is not to say they will exactly cancel in all instances.

The practical rule derived from it: the research manager may use a linear approach as an uncomplicated working form of treating risk, explaining to management that it is basically a risk-averse approach to weighting estimates or to defining a hurdle rate.

The recommendation therefore runs against the direction of the whole article. Two sophisticated corrections work against each other, so the advice is to skip both and use the crude adjustment, with the bias declared out loud.

The machinery uncertainty calls for

When the distribution is non-probabilistic or excessively skewed, the objective changes. The R&D manager facing projects that escape control is stated to be less interested in developing or applying a mathematical theory than in obtaining a means of bringing a deteriorating situation under control.

The tripwire is a rule of thumb the author proposes with no supporting data: the three standard deviation limit provides a workable cutoff separating probabilistic inadvertence from impending disaster. Below it, the deviation is noise in a system still behaving statistically. Above it, the assumption that a distribution is operating has failed.

  1. Distribution holds — treat as risk
  2. Deviation beyond three standard deviations
  3. The distribution assumption fails
  4. Objective shifts to regaining control
Source gap

What the source names and does not supply

R3 states that in such cases strategies from game theory can handle uncertainty. It names no strategy, no game, no payoff structure and no worked application. That is a signpost, not a method, and this library does not fill it in.

Other things the section names without completing:

  • The point at which statistical methods stop being usable. The source says they hold until the tail becomes so long that the methods become meaningless — but the sentence stating that threshold falls in a damaged column of the available extract, and its exact wording is not recoverable.
  • The largest-project concentration metric, given without any threshold value: it supports comparison over time, not a pass or fail judgement.
  • The risk premium over the cost of capital, prescribed in principle and given no size.
  • The passage on directional bias in estimates, only partially legible in the extract; the direction of the argument is clear, the detail is not.

What goes wrong when the wrong one is assumed

Both errors are common and they fail differently. One produces false precision; the other abandons the quantification the paper argues for throughout.

Two misclassifications and their consequences

IfYou treat uncertainty as risk — running statistics on a long-tailed or non-probabilistic situation
ThenThe methods become meaningless while still producing numbers. A symmetric range understates the bad side, a three-sigma excursion reads as noise, and the project escapes control while the reporting looks orderly
IfYou treat risk as uncertainty — declaring a distribution unknowable when it could be inferred
ThenYou give up the historical baseline and fall back on judgement. The paper's view of that fallback is unsparing: subjective assessment is argued most intensely by those with the least other justification
IfYou apply the probabilistic apparatus where the preconditions do not hold
ThenYou are outside the stated scope: probabilistic evaluation is said to be useful where the number of projects and their probability of random outcomes are both large
IfYou embed the risk adjustment silently in the estimate
ThenManagement cannot tell a prudent number from a timid one. Use the linear adjustment and say explicitly that it is a risk-averse approach

The classification also decides which selection technique can carry the case. Every technique on Financial Techniques for R&D Project Selection assumes a forecastable cash flow, and none survives a project that has stopped behaving like a distribution.

Project measurement and control, which feeds both

The risk apparatus needs a history, and R3's fourth tool group supplies it. Measurement runs on two dimensions — budgets and projects — and the firm is budget oriented, measuring deviations in spending and in applied time.

What makes the treatment financial rather than administrative is one requirement: projects must be measured on the basis of past performance as well as current, in order to permit the calculation of risk and to provide guidance for estimating. Measurement is the source of the distributions everything above depends on. The separate literature on structured retrospection is treated on Post-Project Reviews in R&D.

Note

A scoping limit stated by the source

Performance is defined as actual results compared with objectives or preestimates. It does not take into account the correctness of the objectives, only how well they were achieved.

A project can therefore score perfectly while having been the wrong project. Nothing in the measurement regime detects that, and the source says so rather than leaving it implied.

  1. Actual development cost versus the objective.
  2. Development cost as a fraction of the R&D budget.
  3. Actual product cost versus the objective.
  4. Time elapsed to completion versus the objective.

Those four are extracted for every past full project or separately structured task. With a sufficiently large sample, techniques of statistical inference are stated to be available to determine quantitatively which factors are significant.

THE DERIVED MEASURES AND WHAT THEY ACTUALLY MEASURE

MeasureFormWhat it is really measuring
The most important management measurementMean and standard deviation of past development and product cost outcomes per subordinate supervisor, as a percentage of expected outcomeTechnical personnel risk and pure technical risk together — filtered by the supervisor, modelled as a communications channel with characteristic distortion
The R&D contribution to commercial riskMean and standard deviation of past outcomes of product cost estimatesThe only commercial-risk input assigned to R&D. Beyond it, the source says leave commercial risk evaluation to product and marketing management
Additional technical risk factorsOne or two beyond the core setA stopping rule, not a measure. Beyond that, further effort is said not to be justified by the refinement in accuracy

The supervisor-as-channel modelling matters: low variance in a supervisor's reported outcomes may mean a well-run section or a well-filtered one, and the measure cannot tell them apart.

Two rules govern their use. Current project performance must not only be measured but fed back to development teams with minimal delay, and used to forecast the potential outcomes of projects critically. And objectives must be set at attainable levels while goals stay high, with the research manager raising the organisation's standards progressively from the level the initial measurements reveal.

Practice note

Why past performance is held to predict

The justification is unusual. Engineers and scientists are stated to be quite resistant to change, and there is much inertia in all but the newest fast-changing technology organisations — which the paper calls fortunate for the R&D manager, because it means past performance can assist in predicting the future.

That is an honest statement of the assumption, and also its expiry condition. The faster your organisation is genuinely changing, the shorter the useful life of your historical baseline. The source prescribes no refresh interval; setting one is your call.

Where the whole apparatus stops working

R3 states its own boundaries, and they are specific enough to test against your situation first.

Preconditions the source states

  • The number of projects is large, and their probability of random outcomes is large — the stated scope condition on the whole apparatus
  • You are not at a point of great discontinuity: past experience is said to dimension risk in cost estimates except at such points
  • You are not a start-up: past experience is said to dimension risk except in start-up companies
  • The data can be obtained, at a time and cost worth paying against the department's other opportunity costs
  • The measurements can be used practically in selection and evaluation, not merely computed
  • The linear simplification is labelled as an approximation, since the two quadratic terms will not exactly cancel

The first three bite hardest. A discontinuity is precisely where the historical baseline fails, and also where the stakes are highest — the source elsewhere calls technological discontinuity risk often the difference between survival and ruin. The method is weakest exactly where the decision matters most, which is a limitation to state in your own analysis rather than discover in review.

What to carry forward

  1. Risk means a distribution you can calculate or infer. Uncertainty means you cannot — or the distribution is so skewed that the project is escaping control. The two words select different machinery.
  2. Risk is the source's default by preference, because the whole article is a push toward quantification. Know that when you inherit the classification.
  3. Real cost distributions are stated to be one-tailed with the preestimate off the mean, and marketing and engineering estimates are biased in opposite directions. Symmetric ranges are misspecified.
  4. Risk aversion and diversification enter as quadratic terms of opposite sign, so the recommendation is the crude linear adjustment — declared to management as risk-averse, not hidden inside the number.
  5. Three standard deviations is the proposed tripwire between noise and impending disaster: a rule of thumb offered without supporting data.
  6. Measurement supplies the distributions — four measurements per past project, plus cost outcomes by supervisor, with the supervisor modelled as a distorting channel.
  7. Performance measures how well objectives were achieved, never whether they were right. The apparatus also fails at discontinuities and in start-ups, by the source's own statement.

Frequently asked questions

What exactly is the difference between risk and uncertainty here?

Risk is used where a distribution of outcomes can be calculated or inferred. Uncertainty is reserved for the residual cases where a non-probabilistic distribution is likely or feared, and is later extended to cover distributions that are excessively skewed. The second half of that definition is operational rather than statistical: those are the projects escaping management control.

Why does the source recommend a crude linear risk adjustment?

Because it argues that risk aversion and the benefits of portfolio diversification enter the analysis as quadratic terms of opposite sign, so an elaborate treatment of both largely offsets itself. It is careful to say they will not exactly cancel in all instances. The instruction that goes with the shortcut is to tell management the adjustment is basically risk-averse.

Is the three standard deviation rule a standard?

No. It is a heuristic proposed by the author with no supporting data given, offered as a workable cutoff separating probabilistic inadvertence from impending disaster. Treat it as a tripwire you have chosen rather than as an established threshold, and state it as such in any document that uses it.

What should I do once a project crosses into uncertainty?

The source says the objective changes — from measuring the situation to bringing a deteriorating one under control — and states that game-theoretic strategies can handle uncertainty. It names no strategy and works no example, so the method has to be sourced elsewhere and should not be attributed to this paper.

Why measure cost outcomes by supervisor rather than by project?

Because the R&D manager operates through a level of supervision, so the mean and standard deviation of past cost outcomes for each supervisor's projects, as a percentage of preestimate, is the most useful management measurement available. The source notes it captures technical personnel risk and pure technical risk together, filtered by the supervisor as a channel with characteristic distortion.

Does good performance on these measures mean the project was worth doing?

No, and the source is explicit about it. Performance is actual results compared with objectives or preestimates, and it does not take into account the correctness of the objectives. A project can hit every target and still have been the wrong project, which is why selection and measurement have to stay separate activities.

References and source attribution

  1. R3 - viewing R&D projects financially. Practitioner review and tutorial article in a journal for research management, March-April 1984; 6 printed pages. The risk and uncertainty definitions, the coefficient-of-variation and portfolio treatment, the three standard deviation cutoff, and the measurement and control regime are drawn from its risk and its measurement sections.
  2. Figure reproduced in outline from R3: a two-panel probability distribution of outcomes of development or product cost, contrasting an idealised symmetric case centred on the preestimate with a realistic skewed one-tailed case in which the preestimate is off-centre. The horizontal axis is annotated as running from good to bad R&D management.
  3. Extraction limitation: several sentences in the risk section of the available extract fall in damaged columns - the threshold at which statistical methods are said to become meaningless, and part of the passage on directional bias in estimates. Those passages are reported here as incomplete rather than reconstructed.
  4. Eleven copyrighted journal articles on R&D project management, supplied as a reading set for a literature review and profiled for this library. Front matter, abstracts, framework sections, tables and figures were read; article bodies were not reproduced, and all content here is paraphrase.
  5. Supplied teaching source for this library (research methods and research process materials). Used here for page conventions and voice only; it does not treat R&D project management.

Suggested questions for Ask KEVOS

  • Is my project a risk problem or an uncertainty problem under these definitions?
  • Build the four past-project measurements into a template I can apply retrospectively.
  • Show me what a skewed one-tailed cost distribution does to a symmetric confidence range.
  • How should I declare a risk-averse adjustment to management rather than hiding it in the estimate?
  • What concentration does our largest project represent, and what does that tell me without a threshold?
  • Which of the stated preconditions does my organisation fail, and what follows from that?

Related KEVOS knowledge

Financial Techniques for R&D Project SelectionCore · rd project managementThe Financial Frame for R&D ManagementCore · rd project managementSources of Uncertainty in R&D ProjectsCore · rd project managementReal Options Valuation of R&D ProjectsAdvanced · rd project managementR&D Project Evaluation ToolsCore · rd project managementPost-Project Reviews in R&DCore · rd project management
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