SOA ERMEnterprise Risk Management (CERA / FSA cross-track)

Fellowship (FSA)

4 hours·8–10 written-answer questions·≈400 study hours

Syllabus learning objectives

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.

ERM framework, governance, risk appetite

25%

Describe the components of an enterprise risk management framework, including governance, risk appetite and risk culture.
Translate a risk appetite statement into operational risk limits and tolerances.
Evaluate the roles of the board, senior management and risk function in ERM governance.
Assess the maturity of an organization's ERM framework against recognized standards (e.g., COSO, ISO 31000).

Risk measurement: VaR/TVaR, copulas, extreme value

30%

Compute Value-at-Risk and Tail-Value-at-Risk for single and aggregated risk distributions.
Apply copulas to model dependence between risks and simulate joint loss scenarios.
Use extreme value theory to model tail risk beyond the range of observed data.
Compare coherent risk measure properties (subadditivity, monotonicity) across VaR and TVaR.

Economic capital & capital allocation

25%

Compute economic capital using a chosen risk measure and confidence level over an appropriate time horizon.
Allocate diversified economic capital to business units using proportional, marginal or Euler allocation methods.
Assess risk-adjusted performance measures (RAROC) using allocated capital.
Evaluate the impact of diversification benefits on aggregate versus stand-alone capital requirements.

Risk mitigation, hedging, ORSA & regulation

20%

Evaluate risk mitigation techniques including reinsurance, hedging and diversification.
Construct and interpret the components of an Own Risk and Solvency Assessment (ORSA).
Assess the interaction between regulatory capital regimes and internal economic capital models.
Recommend risk mitigation strategies appropriate to identified risk concentrations.

Overview

The ERM exam (with a track-specific extension) qualifies for the CERA credential and counts toward FSA in several tracks. It blends conceptual ERM frameworks with quantitative risk measurement and economic capital.

Duration: 4 hours
Questions: 8–10 written-answer questions
Style: Computer-based written answer with case study
Credit: CERA / FSA track requirement

Syllabus map

ERM framework, governance, risk appetite

25%

Stress Testing and Emerging Risk Risk Measures and Capital

Risk measurement: VaR/TVaR, copulas, extreme value

30%

Risk Measures and Capital Dependence and Copulas Extreme Value Theory and Heavy Tails

Economic capital & capital allocation

25%

Risk Measures and Capital

Risk mitigation, hedging, ORSA & regulation

20%

Reinsurance Structures and Pricing Stress Testing and Emerging Risk

Key formulas

Economic capital $\;EC=VaR_{99.5\%}(L)-E[L]$ (or TVaR-based)

Aggregation with correlation $\;SCR=\sqrt{\sum_i\sum_j\rho_{ij}SCR_iSCR_j}$ ; diversification benefit $=\sum_iSCR_i-SCR$

Tail dependence $\;\lambda_U=\lim_{u\to1}P(U_2>u\mid U_1>u)$ : zero for Gaussian copula, positive for $t$ and Gumbel

Euler allocation $\;\rho(X_i\mid S)=E[X_i\mid S\ge VaR_\alpha(S)]$ for TVaR

RAROC $\;=\dfrac{\text{expected profit}}{\text{economic capital}}$

Study strategy

Build a mind-map of the syllabus around the ERM control cycle: identify → assess → measure → manage → monitor.
Memorize the lists (e.g., properties of a good risk appetite statement, ORSA components) — list questions are common and cheap points.
Practice quantitative items: EC under normal/lognormal, aggregation with correlation, copula tail behavior.
Read the case study repeatedly before the exam; questions cite it directly.

Common traps

Treating risk appetite, tolerance and limits as synonyms.
Assuming linear correlation captures tail dependence.
Forgetting to subtract expected loss when defining economic capital from VaR.
Confusing hedging (offsetting) with diversification (pooling).

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