Exam FAM

The Exam FAM syllabus: ten topics and their weights

Exam FAM has ten topics. The first six are short-term insurance and the last four long-term insurance. Premiums and policy values carry the most weight, at 15 to 22.5% of the exam.

Short-Term Insurance and Reinsurance Coverages5–10% of the exam
Severity, Frequency and Aggregate Models12.5–17.5% of the exam
Parametric Estimation2.5–7.5% of the exam
Introduction to Credibility2.5–5% of the exam
Pricing and Reserving for Short-Term Coverages10–15% of the exam
Option Pricing Fundamentals2.5–7.5% of the exam
Long-Term Insurance Coverages and Retirement Programs2.5–5% of the exam
Mortality Models10–15% of the exam
Present Value Random Variables for Long-Term Coverages12.5–20% of the exam
Premium and Policy Value Calculation15–22.5% of the exam

Short-Term Insurance and Reinsurance Coverages

  • Deductibles, limits and coinsurance
  • The loss elimination ratio and the effect of inflation
  • Proportional and excess of loss reinsurance

Severity, Frequency and Aggregate Models

  • Moments, percentiles, scale and shape, and tail weight
  • The (a, b, 0) and (a, b, 1) classes
  • Collective and individual risk models, approximations, convolution and stop-loss
  • Value at Risk and Tail Value at Risk

Parametric Estimation

  • Maximum likelihood for complete individual and grouped data
  • Maximum likelihood for truncated and censored data

Introduction to Credibility

  • Full credibility standards for frequency, severity and aggregate losses
  • Partial credibility

Pricing and Reserving for Short-Term Coverages

  • Expected loss ratio, chain-ladder and Bornhuetter-Ferguson reserves
  • Loss development, trend and on-level premium
  • Expenses, profit loading, and the loss cost and loss ratio methods

Option Pricing Fundamentals

  • Calls, puts and put-call parity
  • Binomial trees, risk-neutral pricing and delta hedging
  • The Black-Scholes formula

Long-Term Insurance Coverages and Retirement Programs

  • Insurable interest, life and health coverages
  • Annuities, and defined benefit and defined contribution plans

Mortality Models

  • Parametric survival models and the force of mortality
  • Curtate and complete expectation of life
  • Life tables, fractional ages and select tables

Present Value Random Variables for Long-Term Coverages

  • Whole life, term, endowment and deferred insurance, and their moments
  • Annual, 1/m-thly and continuous benefits
  • Annuities-due and immediate, temporary and deferred, with Woolhouse and UDD

Premium and Policy Value Calculation

  • The equivalence principle, the portfolio percentile premium, net and gross premiums
  • Extra risk: age rating and changes to mortality
  • Net, gross and modified net premium policy values, and their recursion

The format

34 multiple-choice questions in 3.5 hours, each with five choices. A few are unscored pilot questions you cannot tell apart. An unanswered question counts as wrong, so answer every one.

SOA provides tables on screen under an Exhibit button: distribution inventories and the Standard Ultimate Life Table at i = 5%, with a normal distribution calculator. You may not bring your own tables.

The split into FAM-L and FAM-S ended in July 2024, and every candidate now sits the full exam.

What it assumes

SOA's syllabus assumes Exam P, Exam FM and VEE Mathematical Statistics. The readings are Loss Models (5th edition), Brown and Lennox (5th edition) and Actuarial Mathematics for Life Contingent Risks (3rd edition).

Try 3 questions

Question 1

The number of claims NN has a negative binomial distribution with  and β=2\beta = 2. Claim sizes are independent of NN and of each other, and follow a Pareto distribution with α=4\alpha = 4 and θ=900\theta = 900.

Calculate the variance of aggregate claims.

Question 2

For accident year 2025, evaluated at December 31, 2025 (12 months), earned premium is $3,150,000 and reported losses are $1,020,000. The cumulative development factor for reported losses from 12 months to ultimate is 2.35, and the expected loss ratio is 72%.

Using the Bornhuetter-Ferguson method, calculate the estimated ultimate losses for accident year 2025.

Question 3

Mortality follows the Standard Ultimate Life Table, and  . You are given:

a¨50\ddot{a}_{50}20E50{}_{20}E_{50}a¨70\ddot{a}_{70}
17.02450.3482412.0083

A 20-year temporary life annuity-due on (50) pays $10,000 at the start of each year.

Calculate the expected present value of the annuity.

Next step

The same page for Exam P · The same page for Exam FM

SOA's Exam FAM page, with the current syllabus

Questions people ask

What topics are on Exam FAM?

Ten: Short-Term Insurance and Reinsurance Coverages (5 to 10%); Severity, Frequency and Aggregate Models (12.5 to 17.5%); Parametric Estimation (2.5 to 7.5%); Introduction to Credibility (2.5 to 5%); Pricing and Reserving for Short-Term Coverages (10 to 15%); Option Pricing Fundamentals (2.5 to 7.5%); Long-Term Insurance Coverages and Retirement Programs (2.5 to 5%); Mortality Models (10 to 15%); Present Value Random Variables for Long-Term Coverages (12.5 to 20%); and Premium and Policy Value Calculation (15 to 22.5%).

How many questions are on Exam FAM?

34 multiple-choice questions in 3.5 hours, about six minutes each.

Are FAM-L and FAM-S still offered?

No. The split into FAM-L and FAM-S ended in July 2024, and every candidate now sits the full Exam FAM.