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NotesMathematics

MATH 5441: Financial Mathematics

Fall 2025

Lectures

  1. Interest Theory Basics
  2. Accumulation and Amount Functions
  3. Effective Interest Rate
  4. Simple Interest
  5. Simple Interest Date Conventions
  6. Compound Interest
  7. Present Value and Discount Functions
  8. Effective Rate of Discount
  9. Nominal Rates
  10. Force of Interest
  11. Time-Varying Interest
  12. Annuities Intro
  13. Annuities Due
  14. Deferred Annuities
  15. Perpetuities
  16. Annuity Unknown Number of Payments
  17. Annuity Frequency Different Than Compounding Frequency
  18. Varying Interest Annuities
  19. Continuous Annuities
  20. Varying-Payment Annuities
  21. Continuous Varying-Payment Annuities
  22. IRR and NPV
  23. Dollar-Weighted and Time-Weighted Rate of Return
  24. Loan Repayment Methods
  25. Varying Payment Amortizations
  26. Stocks and Money Market

Sources

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