Exam FM – Financial Mathematics

5 sections available · 29 chapters available

Free Exam FM – Financial Mathematics revision notes for SOA (Society of Actuaries) students. Each chapter covers a key topic with worked examples and practice prompts you can take straight into the thinka app.

Time Value of Money

  • Interest and discount terminology

  • Solving time value of money problems with simple and compound interest

  • Converting between interest rates, discount rates, and the force of interest

  • Writing the equation of value

Annuities/Cash Flows with Non-Contingent Payments

  • Annuity terminology and definitions

  • Level annuity, finite term

  • Level perpetuity

  • Arithmetic progression annuities (finite term and perpetuity)

  • Geometric progression annuities (finite term and perpetuity)

  • Other non-level annuities/cash flows

Loans

  • Loan terminology and definitions

  • Solving for a missing loan quantity

  • Outstanding loan balance

  • Interest and principal repayment in a payment

  • Loan refinancing calculations

Bonds

  • Bond terminology and definitions

  • Price, book value, and market value

  • Redemption value and face value

  • Yield rate

  • Coupon and coupon rate

  • Term of bond and timing of a given book value

  • Price of a callable bond for a minimum yield

General Cash Flows, Portfolios, and Asset Liability Management

  • Yield curves, rates of return, duration, convexity, and immunization terminology

  • Duration and convexity of a set of cash flows

  • Macaulay and modified duration

  • Approximate change in present value from an interest rate change

  • Present value using a yield curve from spot and forward rates

  • Redington and full immunization

  • Cash flow matching

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