Actuarium

SOA ILA LAMIndividual Life & Annuities โ€” Life ALM & Modeling

Fellowship (FSA)
5 hoursยทโ‰ˆ10 written-answer questionsยทโ‰ˆ400 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.

Asset-liability management & interest-rate risk

35%
  • Compute duration, convexity and key-rate durations for asset and liability cash flows.
  • Design an immunisation or cash-flow matching strategy and evaluate its limitations for products with embedded options.
  • Assess disintermediation and reinvestment risk under rising and falling rate scenarios.
  • Recommend ALM strategies for SPDA, payout annuity and UL blocks.

Economic scenario generators & stochastic modeling

25%
  • Describe real-world versus risk-neutral scenario generators and their appropriate uses.
  • Calibrate and validate interest-rate and equity models used in principle-based reserving and capital.
  • Apply variance reduction and nested-stochastic shortcuts (replicating portfolios, LSMC).
  • Interpret model output distributions: CTE, percentiles and greatest present value of accumulated deficiency.

Hedging guarantees (GMxB, FIA)

25%
  • Compute delta, rho and vega exposures of guaranteed minimum benefits.
  • Design a dynamic hedging programme and quantify basis, gap and model risk.
  • Evaluate hedge effectiveness and its statutory/GAAP accounting consequences.
  • Compare dynamic hedging with static reinsurance for VA guarantees.

Model governance & validation

15%
  • Describe model risk management frameworks (ASOP 56, SR 11-7 concepts).
  • Design a model validation covering inputs, methodology, implementation and outputs.
  • Assess controls for assumption changes, model changes and end-user computing.
  • Communicate model limitations to stakeholders.

Overview

LAM covers the modeling and ALM side of life and annuity management: matching assets and liabilities, generating and using stochastic scenarios, hedging guarantees and governing the models that do it.

Duration
5 hours
Questions
โ‰ˆ10 written-answer questions
Style
Computer-based written answer
Credit
ILA track FSA requirement
Passing
โ‰ˆ 60โ€“65% of points

Syllabus map

Asset-liability management & interest-rate risk
35%
Economic scenario generators & stochastic modeling
25%
Hedging guarantees (GMxB, FIA)
25%
Model governance & validation
15%

Key formulas

Macaulay & modified duration โ€…โ€ŠD=โˆ‘tโ€‰vtCFtโˆ‘vtCFt,Dmod=D1+i\;D=\dfrac{\sum t\,v^t CF_t}{\sum v^t CF_t},\quad D_{mod}=\dfrac{D}{1+i}

Surplus duration โ€…โ€ŠDS=Aโ€‰DAโˆ’Lโ€‰DLAโˆ’L\;D_S=\dfrac{A\,D_A-L\,D_L}{A-L}

Immunisation (Redington) PVA=PVL,โ€…โ€ŠDA=DL,โ€…โ€ŠCA>CLPV_A=PV_L,\;D_A=D_L,\;C_A>C_L

CTE โ€…โ€ŠCTEฮฑ=E[XโˆฃX>VaRฮฑ]\;\mathrm{CTE}_\alpha=E[X\mid X>\mathrm{VaR}_\alpha]

Delta hedge โ€…โ€Šฮ”guar=โˆ‚Vโˆ‚S\;\Delta_{guar}=\dfrac{\partial V}{\partial S}; hedge position =โˆ’ฮ”guar=-\Delta_{guar} futures notional

Study strategy

  1. Draw the cash-flow picture before computing durations; sign errors are the commonest mistake.

  2. For hedging questions, always list the risks the hedge does not cover (basis, vol, policyholder behaviour).

  3. Governance questions reward structure: inputs โ†’ methodology โ†’ implementation โ†’ outputs โ†’ use.

Common traps

  • Using modified duration on liabilities with rate-sensitive lapses (effective duration is required).

  • Treating a risk-neutral ESG as suitable for real-world capital projections.

  • Forgetting that hedge gains/losses may not match the statutory reserve movement.

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