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IQRM Glossary · Quantitative risk management

Quantitative Risk Assessment (QRA)

Quantitative risk assessment (QRA) measures risk in numbers rather than labels. Instead of rating a risk "high" on a heat map, it estimates the probability and the impact in money or days, then combines all risks in a model, usually a Monte Carlo simulation, to show the range of possible outcomes for the project.

Two meanings. In process safety, QRA means estimating individual and societal risk of harm from hazards, with F-N curves and risk contours. This entry covers project QRA: the cost and schedule risk of delivering a capital project.

Qualitative versus quantitative

Qualitative assessmentQuantitative assessment
OutputRatings on a 5x5 matrixP50, P80 and P90 costs and dates
Combines risks?No, each risk is scored aloneYes, all risks and uncertainty together
AnswersWhich risks look worstHow much contingency and time you need, and why
Best forEarly screeningSanction, funding, baselines and contingency

How project QRA works

  1. Quantify each risk

    Give each risk a probability and a cost or time impact range, written as a clear cause, event and effect.

  2. Add estimating uncertainty

    Apply three-point ranges to cost items and activity durations.

  3. Build the model

    Link risks to the cost estimate (QCRA) or the schedule (QSRA), with correlation where items move together.

  4. Simulate

    Run a Monte Carlo simulation to produce the distribution of outcomes.

  5. Decide

    Set contingency, commit dates and rank mitigations by the value they add.

A worked number

A risk with a 30% chance of a $4m to $10m impact (most likely $6m) has an expected value of about $2m. A heat map would call it "medium". A QRA puts it in the model alongside every other risk, and the simulation shows how much it adds at P80, which is usually more than its expected value.

Common mistakes

  • Multiplying probability by impact and adding it up. Summed expected values ignore the spread, so they understate the contingency needed at P80.
  • Converting heat-map scores into numbers. A "4 x 3" is not a quantity.
  • Leaving out estimating uncertainty. Discrete risks alone miss much of the real spread.

Related terms

Frequently asked questions

What is quantitative risk assessment?
It is the assessment of risk in numbers: probabilities and impacts in money or time, combined in a model to give the range of possible project outcomes.
What is the difference between qualitative and quantitative risk assessment?
Qualitative assessment rates risks on a scale such as a 5x5 matrix. Quantitative assessment measures them and combines them to produce figures such as a P80 cost or date.
What does QRA mean?
In project risk, QRA means quantitative risk assessment or analysis of cost and schedule. In process safety, QRA refers to assessing the risk of harm to people from major hazards.

Learn to build and defend these models

The QRM Professional Programme teaches QSRA, QCRA and Monte Carlo simulation on real project models in Safran Risk and Primavera Risk Analysis. CPD certified, UK and GCC.

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