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SOA Exam FM - Financial Mathematics for Actuarial Exams

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Overview

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Prepare for the Society of Actuaries Exam FM (Financial Mathematics) with this comprehensive video series covering essential actuarial concepts across four main modules. Master the time value of money fundamentals including accumulation functions, simple versus compound interest, nominal and effective interest rates, and the force of interest with practical examples. Explore annuity calculations through definitions, terminology, notation, and various types including continuous, geometric, and arithmetic annuities and perpetuities. Develop expertise in loan analysis covering notation, terminology, balance calculations, principal repayments, and amortization schedules with level payments. Study bond valuation principles including notation, terminology, basic facts, par value calculations, and callable bond features. Advance to complex financial mathematics topics such as inflation adjustments, duration calculations for asset portfolios, Macaulay duration, convexity measures, immunization strategies, spot and forward rate relationships, and swap agreements including deferred swaps. Each concept is reinforced with worked examples and practical applications relevant to actuarial practice, though note that this playlist is currently incomplete and additional resources are available through AnalystPrep's complete course offerings.

Syllabus

The Time Value of Money (Actuarial Exam FM – Financial Mathematics – Module 1, Section 1, Part 1)
The Time Value of Money Example (Actuarial Exam FM – Financial Mathematics – Module 1, Section 1)
v-Notation (Actuarial Exam FM – Financial Mathematics – Module 1, Section 1, Part 2)
v-Notation Example (Actuarial Exam FM – Financial Mathematics – Module 1, Section 1, Part 2)
The Accumulation Function (Actuarial Exam FM – Financial Mathematics – Module 1, Section 2)
Accumulation Function Example (Actuarial Exam FM – Financial Mathematics – Module 1, Section 2)
Simple vs. Compound Interest (Actuarial Exam FM – Financial Mathematics – Module 1, Section 3)
Simple Interest Example (Actuarial Exam FM – Financial Mathematics – Module 1, Section 3)
Nominal vs. Effective Interest Rates (Actuarial Exam FM–Financial Mathematics–Module 1, Section 4)
Simple Discount Example (Actuarial Exam FM – Financial Mathematics – Module 1, Section 5)
The Force of Interest Example (Actuarial Exam FM–Financial Mathematics–Module 1, Section 8, P1)
Recovering the Accumulation Function from the Force of Interest (Actuarial Exam FM–Module 1, S8, P2)
Special Case of Force of Interest Example (Actuarial Exam FM–Module 1, Section 8, Part 2)
Piecewise Force of Interest Example (Actuarial Exam FM–Financial Mathematics–Module 1, Section 8,P2)
Equivalent Rates Example (Actuarial Exam FM – Financial Mathematics – Module 1, Section 10)
Annuity Definitions and Terminology (Actuarial Exam FM–Financial Mathematics–Module 2, Section 1,P1)
Annuity Notation (Actuarial Exam FM – Financial Mathematics – Module 2, Section 1, Part 2)
Annuity Symbolic Examples – Part 3 (Actuarial Exam FM – Financial Mathematics – Module 2, Section 1)
Basic Continuous Annuities (Actuarial Exam FM – Financial Mathematics – Module 2, Section 4)
Geometric Annuities (Actuarial Exam FM – Financial Mathematics – Module 2, Section 5)
Unknown Interest Rates Example #2 (Actuarial Exam FM – Financial Mathematics – Module 2, Section 5)
Geometric Perpetuity Example (Actuarial Exam FM – Financial Mathematics – Module 2, Section 5)
Arithmetically Increasing Perpetuities (SOA Exam FM–Financial Mathematics–Module 2, Section 6, P2)
Arithmetic Perpetuity Example (SOA Exam FM–Financial Mathematics–Module 2, Section 6, Example 3)
Rainbow Annuities (Society of Actuaries Exam FM – Financial Mathematics – Module 2, Section 7)
Loan Notation and Terminology (SOA Exam FM–Financial Mathematics–Module 3, Section 1)
Loan Balances (SOA Exam FM–Financial Mathematics–Module 3, Section 2, Part 1)
Outstanding Balance Examples (SOA Exam FM–Module 3, Section 2, Part 2, Example 2)
Level Principal Repayments (Yield Rate) (SOA Exam FM–Module 3, Section 2, Part 2, Example 4)
Level Payment Amortization (SOA Exam FM – Financial Mathematics – Module 3, Section 3)
Unknown Number of Payments Example (SOA Exam FM – Module 3, Section 3, Example 3)
Bond Notation and Terminology (SOA Exam FM – Financial Mathematics – Module 3, Section 4)
Basic Bond Facts (SOA Exam FM – Financial Mathematics – Module 3, Section 5)
Bond Bought at Par Example (SOA Exam FM – Financial Mathematics – Module 3, Section 6, Part 3)
Callable Bonds (SOA Exam FM – Financial Mathematics – Module 3, Section 7)
Inflation Example #1 (SOA Exam FM – Financial Mathematics – Module 4, Section 1, Example 1)
Duration of a Portfolio of Assets (SOA Exam FM–Financial Mathematics–Module 4, Section 3, Example 3)
Macaulay Duration (SOA Exam FM – Financial Mathematics – Module 4, Section 3, Part 1)
Convexity (SOA Exam FM – Financial Mathematics – Module 4, Section 4)
Immunization Example (SOA Exam FM – Financial Mathematics – Module 4, Section 5, Example 1)
Spot Rates and Forward Rates (SOA Exam FM – Financial Mathematics – Module 4, Section 6)
Swaps (SOA Exam FM – Financial Mathematics – Module 4, Section 7, Part 1)
Deferred Swaps (SOA Exam FM – Financial Mathematics – Module 4, Section 7, Example 3)

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