Official references · independent solutions

SOA Exam FM sample-question solutions: all 461 active references

Browse all 461 active Financial Mathematics (FM) Exam sample references by number or syllabus topic. Every page gives a step-labeled solution, a separate calculation check, wrong-choice analysis, and a fully worked original practice problem. Official question wording remains withheld.

Preview the $49 Exam FM study manual Free Exam FM formula sheet BA II Plus guide

461 verified and live461 active official references

Current official set

How many SOA Exam FM sample questions are active?

The official sample set retrieved 2026-07-30 contains 461 active questions numbered 1–462. 1 question SOA has deleted is excluded. Every remaining question has a worked solution here.

How to use the official sample questions

Keep the official wording in its source document and use this library as the worked-answer layer.

Attempt a reference under time
Open the official sample-question PDF, find the same number, and commit to an answer before reading the solution.
Compare the decisive setup
Check the named model, event or comparison date, parameter convention, and the exact step that selects the answer letter.
Diagnose the wrong choice
Use the distractor notes to identify whether the miss came from modeling, timing, boundaries, units, or arithmetic.
Work the original variant
Prove that the method transfers to new wording and parameters, then return to the topic hub for the next reference.

The Society of Actuaries also provides a free randomized online sample exam for P and FM using its existing sample-question pool.

Technique index

Practice the methods that repeat across Exam FM

These curated guides connect formulas, recognition rules, typical errors, and verified solutions that use the same technique across different syllabus settings.

54 verified problems

Annuities and Perpetuities

Level, due, deferred, increasing, growing, and perpetual payment streams under consistent timing and rates.

49 verified problems

Loan Amortization and Balances

Level-payment loans, prospective and retrospective balances, principal-interest splits, refinancing, and balloon payments.

31 verified problems

Duration and Convexity

Macaulay and modified duration, convexity, price sensitivity, immunization, and portfolio weighting.

43 verified problems

Bond Valuation, Pricing, and Yields

Coupon-bond pricing, yield equations, premium and discount behavior, book values, and callable redemption dates.

Browse all Exam FM technique guides

Syllabus index

Browse by topic

Topic names and weight ranges come from the current official syllabus. Counts below include only pages that cleared the verification gate.

5–15%

Published ledger

All 461 Exam FM sample-question solutions

Every entry links back to the official source and exposes the values used by its verification record.

SOA Exam FM sample-question solutions: all 461 active references

How many SOA Exam FM sample questions are active?

How to use the official sample questions

Attempt a reference under time

Compare the decisive setup

Diagnose the wrong choice

Work the original variant

Practice the methods that repeat across Exam FM

Annuities and Perpetuities

Loan Amortization and Balances

Duration and Convexity

Bond Valuation, Pricing, and Yields

Browse by topic

Time Value of Money

Annuities and Non-contingent Cash Flows

Loans

Bonds

General Cash Flows, Portfolios, and Asset Liability Management

All 461 Exam FM sample-question solutions