IAI Actuarial Core Principles · Paper CM2
CM2 Economic Modelling: Topics and Study Guide
CM2 Economic Modelling is the IAI Core Principles subject on how financial markets, investors and assets behave. It covers utility, risk measures, portfolio theory, CAPM, stochastic models, term structure, credit risk, ruin theory and option pricing. You pass by learning each model's assumptions, deriving results, and practising written and computer-based questions.
CM2 Economic Modelling sits in the Actuarial Mathematics module of Core Principles. It tests whether you can build, apply and criticise models of investment markets. The 2026 syllabus weights are: Rational economic theory 10%, Measures of investment risk 10%, Asset valuations 30%, Liability valuations 20% and Option theory 30%. So asset valuation and option theory together carry about 60% of the syllabus.
Like the other CS and CM subjects, CM2 has two examinations. Paper A is a written paper of 3 hours 15 minutes, and recent Paper A papers carry 100 marks. Paper B is a 1 hour 45 minute computer-based exam. Check the current IAI notice for the exact question structure of your session, because the number of multiple-choice questions is not fixed and has varied between sessions.
From the November 2025 session, the pass rule for CM2 is at least 30% in each of Paper A and Paper B and 50% in aggregate, with Paper A and Paper B weighted 70:30. IAI may amend this session by session and confirms it with results, so verify it before you sit. Students usually find the paper demanding because it mixes theory, derivations and numerical work. Marks are lost most often on stating assumptions, on notation, and on explaining results in words. Students who practise past papers under timed conditions and who learn the derivations, not just the final formulas, tend to do best.
Economic Modelling: chapters and topics
Rational economic theory
Rational expectations theory and the efficient markets hypothesis
Rational economic theory
Rational choice theory and utility
Measures of investment risk
Measures of investment risk
Measures of investment risk
Role of insurance in reducing or removing risk
Asset valuations
Mean-variance portfolio theory
Asset valuations
Capital Asset Pricing Model (CAPM)
Asset valuations
Single and multifactor models for investment returns
Asset valuations
Stochastic models for security prices
Asset valuations
Models of the term structure of interest rates
Asset valuations
Simple models for credit risk
Liability valuations
Ruin theory
Liability valuations
Run-off triangles
Liability valuations
Valuing benefit guarantees using simulation
- Benefit Guarantees in Insurance Contracts
- Guarantees as Options and Black-Scholes Valuation
- Stochastic Asset Models and Scenario Generation
- Monte Carlo Simulation of Guarantee Costs
- Risk-Neutral vs Real-World Valuation
- Accuracy, Variance Reduction and Nested Simulation
- Hedging and Management of Guarantees
Option theory
Principles of option pricing
Option theory
Binomial option-pricing model
- Options Basics and Payoff Diagrams
- No-Arbitrage Principle and Put-Call Parity
- One-Period Binomial Model and Replicating Portfolio
- Risk-Neutral Valuation and Risk-Neutral Probabilities
- Multi-Period Binomial Trees
- American Options and Early Exercise in Binomial Trees
- Calibrating u and d and Link to Black-Scholes
Option theory
Black-Scholes derivative-pricing model
- Black-Scholes Assumptions and Limitations
- Geometric Brownian Motion and Lognormal Share Prices
- Black-Scholes Formula for European Calls and Puts
- Risk-Neutral Valuation and the Black-Scholes PDE
- The Greeks and Hedging
- Volatility: Historical, Implied and Smile
- Extensions: Dividends, Currencies and Other Underlyings
How to prepare Economic Modelling
Plan for steady work over several months, especially if you study alongside a job. Build understanding first, then speed. Give more time to the heavily weighted areas: asset valuations and option theory.
- Read the syllabus and map your 16 chapters to its five topic areas. Note which chapters feed asset valuations, liability valuations and option theory, and give those the most study hours.
- Start with the foundations: rational expectations and the efficient markets hypothesis, utility theory, risk measures and the role of insurance. Learn the definitions and the assumptions behind each one. These ideas are reused in later chapters.
- Move to portfolio theory next: mean-variance theory, CAPM and single and multifactor models. Practise the calculations by hand, such as portfolio variance and expected return. Then be able to explain what each result means for an investor.
- Study the stochastic models: security price models, term structure models and simple credit risk models. Write out each model's assumptions, its key equations and its limitations. Examiners often ask you to comment on whether a model is suitable.
- Cover the liability-side chapters: ruin theory, run-off triangles and valuing benefit guarantees by simulation. Work through full numerical examples, and practise setting out the method step by step.
- Spend extra time on option theory: principles of option pricing, the binomial model and Black-Scholes. Practise no-arbitrage arguments, put-call parity, and building and using binomial trees. Learn how the Black-Scholes assumptions affect the result.
- Practise for Paper B throughout, not at the end. Use R or the tools your session requires to simulate, fit and calculate. Keep a short note of the commands and the steps you use, and practise writing brief interpretations of your output.
- In the last weeks, do full past papers under timed conditions. Mark them honestly against the examiners' reports, list your repeated errors, and revise those topics. Keep a one-page list of key formulas and assumptions for each chapter.
Time management in the exam
- Before you start, scan the whole paper. Note the question structure and the marks for each question, then plan your time in proportion to the marks.
- Aim for roughly one minute per mark as a guide. On a 100-mark paper of 3 hours 15 minutes, this leaves a small buffer for reading and checking.
- Answer the questions you are surest of first. This builds marks early and leaves more time for the hard derivations.
- If you are stuck on a calculation, write down the method and formula, move on, and return later. Method marks are often available even when the final number is wrong.
- In written parts, keep explanations short and tied to the model. A clear statement of the assumption or the meaning of a result earns marks faster than a long essay.
- Keep the last 10 minutes for checking units, signs, notation and that every part of each question has an answer. For Paper B, save your work regularly and check that your output matches what the question asked.
Mistakes that cost marks in Economic Modelling
Memorising formulas without the assumptions
Fix: For each model, write its assumptions and where they are used in the derivation. In the exam, state the assumptions before you use the formula.
Neglecting the heavily weighted topics
Fix: Use the syllabus weights to set your study hours. Reserve a fixed share of your time for asset valuations and option theory, and revisit them often.
Giving numbers without interpretation
Fix: After each result, add one sentence on what it means for the investor, the insurer or the model. Practise this on every past-paper question.
Leaving Paper B practice until late
Fix: Practise with R or the required tools every week. Build a short personal list of commands and workflows, and time yourself on sample tasks.
Weak notation and poorly set out working
Fix: Define each symbol you use and show each step of the working. Use standard actuarial notation consistently so marks for method are not lost.
Not checking the pass rule and the exam format for your session
Fix: Read the latest IAI notices for your session. Confirm the paper structure, the timings and the pass rule, which IAI may amend and confirms with results.
Economic Modelling: frequently asked questions
What does the CM2 Economic Modelling paper cover?
It covers rational economic theory, investment risk measures, asset valuations, liability valuations and option theory. Specific chapters include utility, CAPM, stochastic models, term structure, credit risk, ruin theory, run-off triangles and option pricing. Check the current syllabus for the full list.
How is the CM2 pass mark decided?
From the November 2025 session, you need at least 30% in each of Paper A and Paper B and 50% in aggregate. Paper A and Paper B are weighted 70:30. IAI may change this by session and confirms it with results.
Which topics should I give the most time?
Asset valuations and option theory each carry a large share of the 2026 syllabus weighting, at 30% each. Give them the most practice, but do not skip the other areas, since all topics can appear in the exam.
Do I need to practise R for CM2?
Yes. Each CM subject has a 1 hour 45 minute computer-based Paper B. Practise the methods covered in the syllabus, and learn to write short interpretations of your output.
Is CM2 harder than other Core Principles subjects?
Many students find it demanding because it combines theory, mathematics and computer work. Difficulty depends on your background. A steady plan and regular timed practice make it manageable.