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IAI examinations: ACET, core principles and fellowship

Actuarial Science (B.Sc) · Exams and careers · free study notes for exams, placements and interviews

In short

The Institute of Actuaries of India (IAI) is the statutory professional body for actuaries in India, constituted under the Actuaries Act, 2006 as successor to the Actuarial Society of India (founded 1944). Entry is through the Actuarial Common Entrance Test (ACET), after which a student member clears a graded sequence of examinations — Core Principles, Core Practices, Specialist Principles and Specialist Advanced — to become an Associate (AIAI) and then a Fellow (FIAI). Only a Fellow with a valid Certificate of Practice can hold statutory roles such as Appointed Actuary of an insurer under IRDAI regulations. For a B.Sc Actuarial Science student this is simultaneously a careers map and examinable content: university papers on "the actuarial profession" test the Act, the membership classes, the subject structure and the exemption routes, and every campus interview at an insurer, consultancy or actuarial KPO opens with "which papers have you cleared?"

Explained

The institute and its legal basis

ACET — the entrance test

The examination structure (2019 curriculum onwards)

Membership ladder: student, Associate, Fellow

  1. Student member — admitted after ACET (or waiver); pays an annual subscription and may register for Core Principles subjects.
  2. Associate (AIAI) — awarded on completing the Core Principles and Core Practices requirement together with the prescribed professionalism course and practical experience (IAI has revised this bundle more than once; confirm the current Associateship requirement in the member handbook before planning around it). An Associate may sign some categories of work but not the statutory roles reserved for Fellows.
  3. Fellow (FIAI) — Associateship plus two SP subjects and one SA subject, the professionalism/Fellowship course, and the prescribed period of relevant practical experience recorded and signed off (commonly three years). The SP and SA choices must be coherent — for example SP2 + SP9 with SA2 for a life insurance career, SP7 + SP8 with SA3 for general insurance.
  4. Certificate of Practice (COP) — an annual practising certificate for members who sign statutory or prescribed actuarial work (Appointed Actuary, peer review, employee-benefit certification). It depends on category of practice, experience and CPD compliance; it is not automatic on becoming a Fellow.
  5. CPD — IAI prescribes minimum continuing professional development hours per year by member category; shortfall can cost the COP.

Exemptions, pass standards and realistic timelines

Key points

Formulas and examples

These are the formulas most often asked in a viva or interview as "what does CM1 / CS1 / CM2 actually contain?", with symbols defined.

Equation of value (CM1): PV(income) = PV(outgo), i.e. Σ Cₜ (1+i)−t = 0, where Cₜ = net cash flow at time t (₹), i = effective annual interest rate, t in years.
Accumulation and discount (CM1): A = P(1+i)ⁿ; v = 1/(1+i); effective rate from a nominal rate compounded p times: i = (1 + i⁽ᵖ⁾/p)ᵖ − 1.
Annuity factors (CM1): aₙ = (1 − vⁿ)/i (payments in arrear); ä ₙ = (1 − vⁿ)/d where d = i/(1+i) (payments in advance).
Expected present value of a term assurance (CM1): EPV = S · Σ_{k=0}^{n−1} vk+1 · ₖpₓ · q_(x+k), with S = sum assured (₹), ₖpₓ = probability a life aged x survives k years, q_(x+k) = probability of death in the following year.
Equivalence principle premium (CM1): level annual premium P = EPV(benefits) / EPV(premium annuity); adding expenses gives the office premium.
Confidence interval for a mean (CS1): x̄ ± z_(α/2) · s/√n, with x̄ = sample mean, s = sample standard deviation, n = sample size, z₀.₀₂₅ = 1.96 for 95%.
Black–Scholes call price (CM2): c = S₀Φ(d₁) − K e−rT Φ(d₂), d₁ = [ln(S₀/K) + (r + σ²/2)T] / (σ√T), d₂ = d₁ − σ√T; S₀ = spot price (₹), K = strike (₹), r = continuously compounded risk-free rate per annum, σ = volatility per annum, T = time to expiry in years.
Net present value (CB1): NPV = Σ Cₜ /(1+r)ᵗ − I₀, with r = discount rate and I₀ = initial outlay (₹).
Probability of clearing a subject within k diets: 1 − (1 − p)k, where p = per-diet pass probability; expected attempts = 1/p.

Example 1 — ACET scoring. A candidate scores Mathematics 22/30, Statistics 19/30, Data Interpretation 7/10, English 11/15, Logical Reasoning 10/15.

Example 2 — CM1-style pricing (what Core Principles feels like). Two-year term assurance, sum assured ₹10,00,000 payable at the end of the year of death, qₓ = 0.002, q_(x+1) = 0.0025, i = 6% p.a., premiums payable annually in advance, no expenses.

Example 3 — CS1-style estimation. A general insurer samples n = 100 motor own-damage claims: mean ₹45,000, sample s.d. ₹12,000.

Example 4 — planning the qualification. 13 modules to Fellowship (7 Core Principles + 3 Core Practices + 2 SP + 1 SA), per-diet pass probability p = 0.35, two diets a year, indicative fee ₹8,000 per attempt.

Example 5 — exemption arithmetic. A student with IFoA passes in CS1, CS2 and CM1 applies for IAI exemptions.

ACETCore Principles (e.g. CM1)Core Practices (CP2/CP3)SP / SA
What it testsSchool mathematics, statistics, English, reasoningTechnical actuarial theory + software paperModelling, audit trail, communicationProduct and regulation-specific application
Format3 h MCQ, 100 marksPaper A theory + Paper B (Excel/R)Assessment with data/scenario fileWritten, case-based
Pass basis~50 marksCombined A+B pass mark set per dietCompetence against stated objectivesPass mark set per diet
Counts towardsStudent membership onlyAIAIAIAIFIAI
FeatureAssociate (AIAI)Fellow (FIAI)
ExaminationsCore Principles + Core PracticesAssociateship + 2 SP + 1 SA
Course requirementProfessionalism courseFellowship/professionalism course
ExperiencePrescribed minimumLonger prescribed period (commonly 3 years)
Statutory signingLimited categoriesAppointed Actuary and peer review, with a COP
Typical time from ACET4-6 years7-10 years

Where it is used

Interview questions

Common mistakes

Related topics

Life contingencies and premium calculation (CM1) · Risk modelling and survival analysis (CS2) · Financial mathematics and option pricing (CM2) · IRDAI regulation and the Appointed Actuary function · Employee-benefit valuation under Ind AS 19 / AS 15 · R and Excel for actuarial work.

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