Actuarium

SOA GIADVGeneral Insurance — Advanced Topics

Fellowship (FSA)
4 hours·8–10 written-answer questions·400 study hours

Syllabus learning objectives

Official syllabus

Paraphrased from the SOA syllabus so the study-plan builder and practice sets track the topics you will actually be examined on. Weights are the official topic ranges.

Excess, deductible & increased-limits pricing

30%
  • Compute increased limit factors (ILFs) from a fitted severity distribution.
  • Price excess and deductible layers using limited expected value functions.
  • Adjust ILFs for trend, ALAE inclusion/exclusion and loss development.
  • Evaluate the sensitivity of layer pricing to severity distribution tail assumptions.

Individual risk rating & retrospective plans

25%
  • Compute experience-rating modification factors incorporating credibility.
  • Determine retrospective premium under basic and incurred-loss retro plans, including loss limitation.
  • Apply schedule rating debits/credits to adjust manual premium for risk characteristics.
  • Assess the incentive effects of individual risk rating plans on insured behavior.

Catastrophe modeling & reinsurance pricing

25%
  • Describe the components of a catastrophe model (hazard, exposure, vulnerability, financial modules) and their use in pricing.
  • Price catastrophe excess-of-loss and aggregate covers using exceedance probability output.
  • Apply reinsurance pricing techniques (burning cost, exposure rating) to non-catastrophe treaties.
  • Assess model uncertainty and its effect on catastrophe reinsurance pricing decisions.

Stochastic reserving & reserve ranges

20%
  • Apply stochastic reserving methods (Mack, bootstrap ODP, GLM-based) to quantify reserve variability.
  • Construct a reserve range and interpret percentiles for risk margin and capital purposes.
  • Assess correlation across lines of business when aggregating stochastic reserve distributions.
  • Compare stochastic reserve ranges with deterministic best estimates for reasonableness.

Lecture videos for this exam

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Introduction to Excess of Loss Reinsurance | Excess of Loss Reinsurance Course for Beginners

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Introduction to Catastrophe Excess of Loss (XoL) Reinsurance | Introductory Course for Beginners

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Overview

GIADV is the SOA analog of the advanced CAS pricing/reserving material: ILFs and layer pricing, experience and retrospective rating, catastrophe model structure and reinsurance pricing, plus stochastic reserving and ranges.

Duration
4 hours
Questions
8–10 written-answer questions
Style
Computer-based written answer
Credit
GI track FSA requirement

Syllabus map

Key formulas

Layer expected loss   E[layer (a,a+l)]=E[X(a+l)]E[Xa]\;E[\text{layer } (a,a+l)]=E[X\wedge(a+l)]-E[X\wedge a]; with ILFs:   (ILF(a+l)ILF(a))×basic-limit loss cost\;(ILF(a+l)-ILF(a))\times\text{basic-limit loss cost}.

Cat model chain: hazard → vulnerability → exposure → financial module; outputs OEP/AEP curves;   AAL=EP(x)dx\;AAL=\int\text{EP}(x)\,dx.

Retro premium & Table M: see CAS Exam 8 guide.

Study strategy

  1. Practice the layer-pricing arithmetic until it is mechanical, including trend leverage on excess layers.

  2. Know what each cat-model module does and the sources of uncertainty (primary vs secondary).

Common traps

  • Treating OEP and AEP interchangeably.

  • Forgetting ALAE treatment (pro rata vs included) when pricing excess layers.

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