GRA · Actuarial and Quantitative Risk

Spatial financeWhere capital meets hazard, exposure and transition

Dependencies and consequences

Quantitative risk work connects insurance, banking, pensions and public finance, because the same loss distributions and dependence assumptions drive pricing, capital and fiscal planning. This page maps those links.

STEM methods
6
Canonical methods this field applies
Topics
8
Subject pages in the field
Counterparts
4
Platforms in shared fields across the network
Report series
2
Reports series it contributes to
01Inputs from the real world

What models depend on.

Physical

Hazard and climate

Catastrophe and pricing models depend on hazard science, which is changing as the climate warms.

Social

Health and demography

Mortality, morbidity and longevity models depend on medicine, behaviour, heat exposure and population change.

Economic

Markets and inflation

Asset values, interest rates and claims inflation drive both sides of the balance sheet.

02Spatial finance

Exposure, hazard and the exceedance curve.

Which places drive loss in a severe year, and how far it reaches into reinsurance. Illustrative design values.

Coastal exposure under cyclone and earthquake zones, beside the loss curve it produces.Illustrative design values, not a model output or a price.
03Model channel

How shared quantitative assumptions transmit risk.

  • Common calibrations: standard formulas and widely used vendor models make firms move together.
  • Correlation breakdown: diversification assumed in calm periods disappears in stress.
  • Model change: a vendor update can shift capital across a market at once.
  • Longevity: shared mortality tables link insurers and pension funds.
04Monitor

Field overview.

The screen a team would use to follow this subject: its measures, states and decisions. Names are examples and values are illustrative.

Field overview: the screen’s structure, terms and states for Actuarial and quantitative risk.Example names and illustrative values; a design, not a record or a live system.
05Governance

Who checks the quants.

Independent validation, actuarial review and supervisory model approval are the checks. Governance of model use in public decisions at GRF algorithmic public decisions; topic depth at mortality and longevity.

06Outputs into finance and society

How model results become consequences.

Model outputs set premiums, reserves and capital. If models understate risk, institutions are under-capitalised and may fail when losses arrive, shifting costs to policyholders, policyholder protection schemes funded by industry, or the public. If models overstate risk or react sharply to new information, cover can become unaffordable or be withdrawn, widening protection gaps for households, firms and governments.

Model homogeneity creates its own dependency. When many institutions use similar vendor models, data and assumptions, their errors are correlated, and a single model revision can shift prices or capital across a market at once. This is one reason supervisors and validators value independent challenger models.

08Method

How dependencies are analysed.

Dependency analysis uses uncertainty quantification, sensitivity analysis, scenario design and dependence modelling. Every analysis states its assumptions, data and uncertainty; see methods. A dependency map describes how stress could travel; it is not a forecast. This is shared industry research on methods, not actuarial, investment or regulatory advice to any firm, and GRA does not validate, approve or sign off any model.

09Sources

Where this page’s references lead.

The bodies and documents this page is read against. Status and editions change; each link goes to the issuing body.

10Questions

Questions and answers.

Why does model homogeneity matter?
Because when many firms share models and assumptions, their errors move together, which can amplify market-wide effects.
Do models include climate change?
Increasingly, but methods and data are still developing, and approaches vary widely.
Is this analysis firm-specific?
No. It is aggregate and methodological.
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