SOA Exam FAM – Fundamentals of Actuarial Mathematics
Develop Expertise in Actuarial Risk Modelling, Insurance Pricing and Reserving
Exam FAM – Fundamentals of Actuarial Mathematics is an actuarial examination conducted by the Society of Actuaries (SOA), USA, and forms part of the pathway towards the Associate of the Society of Actuaries (ASA) designation.
The examination focuses on applying mathematical and actuarial principles to model insurance risks, calculate premiums, estimate reserves and evaluate financial obligations.
Exam FAM combines short-term insurance modelling, loss distributions, ratemaking, reserving, mortality models and long-term insurance contingencies, developing essential technical and analytical skills for actuarial practice.
The subject builds upon the fundamental concepts of probability and financial mathematics, connecting mathematical theory with practical applications in life insurance, general insurance and financial risk management.
Course Structure & Syllabus
Exam FAM covers actuarial methods used in both short-term and long-term insurance modelling.
Key Topics Covered:
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Short-Term Insurance & Reinsurance Coverages:
Policy deductibles, limits, coinsurance, loss modifications, proportional and excess-of-loss reinsurance and their impact on insurance payments.
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Loss Models & Probability Distributions:
Claim severity, claim frequency, aggregate loss models, compound distributions, expected losses and statistical modelling of insurance claims.
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Statistical Estimation & Credibility Theory:
Parametric estimation, maximum likelihood estimation, method of moments, credibility models and applications to insurance experience.
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Short-Term Insurance Pricing & Reserving:
Ratemaking principles, loss ratio methods, claims development triangles, chain ladder, Bornhuetter-Ferguson methods and outstanding claims reserves.
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Option Pricing Fundamentals:
Financial derivatives, option payoffs, binomial pricing models, Black-Scholes valuation, risk-neutral pricing and put-call parity.
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Mortality & Survival Models:
Life tables, mortality rates, survival probabilities, force of mortality, future lifetime models and life expectancy calculations.
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Long-Term Insurance Valuation, Premiums & Reserves:
Life assurance, annuities, actuarial present values, premium calculations, policy values, prospective reserves and retrospective reserves.
The Exam FAM syllabus focuses on insurance risk modelling, actuarial valuation, probability distributions, premium calculation and reserving techniques, developing essential competencies for actuarial applications.
Syllabus Topics & Weightages
The SOA Exam FAM syllabus covers ten principal areas:
| Topic |
Approximate Weightage |
| Short-Term Insurance and Reinsurance Coverages |
5–10% |
| Severity, Frequency and Aggregate Models |
12.5–17.5% |
| Parametric Estimation |
2.5–7.5% |
| Introduction to Credibility |
2.5–5% |
| Pricing and Reserving for Short-Term Coverages |
10–15% |
| Option Pricing Fundamentals |
2.5–7.5% |
| Long-Term Insurance Coverages and Retirement Programs |
2.5–5% |
| Mortality Models |
10–15% |
| Present Value Random Variables |
12.5–20% |
| Premium and Policy Value Calculations |
15–22.5% |
Topic weightages are indicative ranges rather than fixed percentages. Actual question distribution may vary between examination sittings.
Examination Structure
Exam FAM is a computer-based multiple-choice examination assessing actuarial modelling concepts and their practical applications in insurance and finance.
| Particulars |
Details |
| Examination |
SOA Exam FAM – Fundamentals of Actuarial Mathematics |
| Conducting Body |
Society of Actuaries (SOA) |
| Examination Format |
Multiple-Choice Questions |
| Total Questions |
34 |
| Examination Duration |
3 Hours 30 Minutes |
| Examination Mode |
Computer-Based Testing (CBT) |
| Examination Centre |
Authorised Prometric Test Centres |
| Negative Marking |
No |
| Examination Windows |
As announced in the official SOA examination schedule |
Important Examination Guidelines
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Multiple-Choice Examination:
Candidates must solve 34 actuarial mathematics questions within 3 hours and 30 minutes.
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Short-Term Insurance Applications:
Questions assess loss distributions, claim frequency and severity, ratemaking, reinsurance and reserving.
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Long-Term Insurance Applications:
Questions assess mortality models, life contingencies, actuarial present values, premiums and policy values.
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Calculators:
Only calculators approved under SOA examination rules are permitted.
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Reference Material:
Applicable actuarial tables are provided during the examination according to SOA guidelines.
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Examination Booking:
Candidates must register through the SOA and schedule their examination within the applicable testing window.
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Examination Conduct:
Candidates must comply with SOA and Prometric identification, security and examination regulations.
Eligibility Criteria
Exam FAM is suitable for actuarial students progressing beyond introductory probability and financial mathematics.
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No prior actuarial examination pass is required solely to register for Exam FAM.
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A strong understanding of SOA Exam P – Probability and Exam FM – Financial Mathematics concepts is recommended.
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Knowledge of mathematical statistics, probability distributions and financial valuation is beneficial.
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Students from Mathematics, Statistics, Finance, Economics, Engineering and other quantitative backgrounds may prepare for the examination.
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Candidates must meet SOA’s applicable registration, identification and examination entry requirements.
Learning Objectives
Studying Exam FAM develops the ability to:
- Understand and apply actuarial models to insurance risks.
- Analyse claim frequency, severity and aggregate losses.
- Apply statistical estimation and credibility techniques.
- Calculate premiums for short-term insurance coverages.
- Estimate outstanding claims reserves using actuarial methods.
- Understand mortality, survival models and life tables.
- Calculate actuarial present values of insurance benefits.
- Determine premiums and reserves for long-term insurance contracts.
- Apply actuarial mathematics to financial and insurance risk assessment.
Practical Applications of Exam FAM
The knowledge gained in Exam FAM is applicable across several actuarial and financial disciplines:
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Life Insurance:
Calculating premiums, valuing life insurance benefits, estimating policy reserves and analysing mortality risks.
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General Insurance:
Modelling claim frequency and severity, estimating outstanding claims liabilities and developing insurance premiums.
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Health Insurance:
Evaluating claim distributions, insurance coverage structures and financial risks associated with healthcare benefits.
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Reinsurance:
Analysing risk transfer arrangements, deductible structures, policy limits and reinsurance recoveries.
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Actuarial Valuation & Risk Management:
Modelling uncertain financial obligations, estimating insurance liabilities and applying mathematical techniques to risk assessment.
Exam FAM establishes essential actuarial knowledge that supports more advanced SOA examinations, particularly Advanced Long-Term Actuarial Mathematics (ALTAM) and Advanced Short-Term Actuarial Mathematics (ASTAM).
Technical Requirements – AEI Learning Application
To access online classes, recorded lectures and digital study resources, students must ensure their devices meet the following minimum technical requirements of the Actuators Educational Institute (AEI) Learning Application.
| Device / Platform |
Minimum Requirement |
| Android |
Android 9.0 or above |
| Windows PC / Laptop |
Windows 10 or above |
| iPhone / iPad (iOS) |
iOS 12.0 or above |
| MacBook / iMac (macOS) |
Apple M1 chip or above with macOS 14 or later |