SOA Exam FM – Financial Mathematics
Build Strong Foundations in Financial Mathematics, Cash Flow Valuation and Asset-Liability Management
Exam FM – Financial Mathematics is one of the preliminary actuarial examinations 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 fundamental financial mathematics concepts to calculate the present and accumulated values of cash flows, evaluate financial instruments and understand investment-related financial obligations.
Exam FM covers time value of money, interest theory, annuities, loans, bonds, investment returns and asset-liability management, developing essential mathematical and analytical skills for actuarial and financial applications.
Course Structure & Syllabus
Exam FM combines financial mathematics concepts with practical applications in insurance, banking, investments and financial risk management.
Key Topics Covered:
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Time Value of Money & Interest Theory:
Simple and compound interest, effective and nominal interest rates, discount rates, force of interest, present value and accumulated value calculations.
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Annuities & Perpetuities:
Annuities-immediate, annuities-due, level and varying annuities, perpetuities, increasing and decreasing payments and present value calculations.
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Cash Flow Valuation:
Equations of value, discounted cash flows, payment streams, accumulation functions and valuation of financial obligations.
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Loan Amortisation & Repayment:
Loan principal, outstanding balances, amortisation schedules, interest and principal repayments, balloon payments and loan refinancing.
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Bond Valuation & Yield Analysis:
Bond pricing, coupon payments, redemption values, yield rates, premium and discount amortisation, book values and callable bonds.
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Investment Returns & Yield Curves:
Spot rates, forward rates, yield curves, investment returns and valuation of financial cash flows.
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Asset-Liability Management & Immunisation:
Duration, convexity, interest rate sensitivity, cash flow matching, Redington immunisation and full immunisation.
The Exam FM syllabus focuses on financial valuation, interest rate calculations, cash flow analysis, investment mathematics and asset-liability management.
Syllabus Topics & Weightages
The SOA Exam FM syllabus comprises five principal areas:
| Topic |
Approximate Weightage |
| Time Value of Money |
5–15% |
| Annuities and Non-Contingent Cash Flows |
20–30% |
| Loans |
15–25% |
| Bonds |
15–25% |
| General Cash Flows, Portfolios and Asset-Liability Management |
20–30% |
Topic weightages are indicative ranges rather than fixed percentages. Actual question distribution may vary between examination sittings.
Examination Structure
Exam FM is a computer-based multiple-choice examination assessing financial mathematics concepts and their practical applications.
| Particulars |
Details |
| Examination |
SOA Exam FM – Financial Mathematics |
| Conducting Body |
Society of Actuaries (SOA) |
| Examination Format |
Multiple-Choice Questions |
| Total Questions |
30 |
| Examination Duration |
2 Hours 30 Minutes |
| Examination Mode |
Computer-Based Testing (CBT) |
| Examination Centre |
Authorised Prometric Test Centres |
| Negative Marking |
No |
| Exam Months |
February, April, June, August, October and December |
Important Examination Guidelines
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Multiple-Choice Examination:
Candidates must solve 30 financial mathematics questions within 2 hours and 30 minutes.
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Numerical Applications:
Questions assess interest calculations, annuity valuation, loan amortisation, bond pricing and asset-liability management.
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Calculators:
Only SOA-approved calculators are permitted. The Texas Instruments BA II Plus or BA II Plus Professional is particularly useful for financial calculations.
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Reference Material:
Candidates should refer to the official SOA syllabus for permitted resources and examination requirements.
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Examination Booking:
Candidates must register through the SOA and schedule their examination appointment 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 FM is a preliminary actuarial examination suitable for students beginning their SOA actuarial qualification journey.
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No prior actuarial examination pass is required before attempting Exam FM.
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Students from Mathematics, Statistics, Commerce, Economics, Finance, Engineering and other academic backgrounds may prepare for the examination.
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A strong understanding of algebra, calculus and mathematical reasoning is recommended.
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Familiarity with basic financial concepts, interest calculations and cash flows is beneficial.
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Candidates must meet SOA’s applicable registration, identification and examination entry requirements.
Learning Objectives
Studying Exam FM develops the ability to:
- Understand and apply interest theory and the time value of money.
- Calculate present and accumulated values of financial cash flows.
- Evaluate different types of annuities and perpetuities.
- Construct loan amortisation schedules and determine outstanding balances.
- Price bonds and calculate investment yields.
- Understand spot rates, forward rates and yield curves.
- Calculate duration and convexity.
- Apply cash flow matching and immunisation techniques.
- Develop mathematical modelling and financial risk assessment skills.
Practical Applications of Exam FM
The knowledge gained in Exam FM is applicable across several actuarial and financial disciplines:
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Life Insurance:
Valuing future insurance payments, discounting liabilities and analysing long-term financial cash flows.
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Pensions:
Calculating annuity values, evaluating retirement benefits and analysing long-term pension obligations.
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Banking & Finance:
Loan amortisation, interest rate calculations, bond valuation and financial product analysis.
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Investment Management:
Evaluating fixed-income securities, investment returns, duration and interest rate risks.
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Asset-Liability Management:
Matching financial assets and liabilities, managing interest rate exposures and applying immunisation techniques.
Exam FM establishes essential financial mathematics knowledge that supports advanced actuarial studies, including Fundamentals of Actuarial Mathematics (FAM) and other actuarial subjects involving valuation, pricing and financial risk management.
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 |