Exam FM topic · 15–25% syllabus weight

Exam FM Loans practice problems

Independently written solutions mapped to this official syllabus topic. Pages appear only after all required checks agree.

Topic orientation

What this topic tests

Loans problems connect level-payment annuities with outstanding balances, amortization schedules, refinancing, sinking funds, and principal-interest splits. The balance at a given time is the value at that time of the obligation that remains.

A reliable solution computes a balance prospectively from remaining payments and checks it retrospectively from accumulated principal and payments. The BA II Plus TVM worksheet is useful only after deciding whether the requested balance is immediately before or after a payment.

Typical failure modes

  • Using the original loan term instead of the number of payments remaining
  • Calculating interest from the balance after rather than before the payment
  • Using the loan rate for a sinking fund that earns a different rate

Published ledger

Exam FM Loans practice problems and solutions

Each entry shows its independent calculation record and links to the official source without reproducing protected wording.

  1. SOA Exam FM Sample Question #6Two-Phase Loan AmortizationVerified
  2. SOA Exam FM Sample Question #12Comparison of Repayment MethodsVerified
  3. SOA Exam FM Sample Question #13Prospective Loan BalanceVerified
  4. SOA Exam FM Sample Question #21Total Interest Across Loan StructuresVerified
  5. SOA Exam FM Sample Question #23Interest-Principal DecompositionVerified
  6. SOA Exam FM Sample Question #33Principal Portion ProgressionVerified
  7. SOA Exam FM Sample Question #45Piecewise Geometric Cash FlowsVerified
  8. SOA Exam FM Sample Question #48Principal Portions and Total InterestVerified
  9. SOA Exam FM Sample Question #49Loan Refinancing PaymentVerified
  10. SOA Exam FM Sample Question #60Loan Refinancing RateVerified
  11. SOA Exam FM Sample Question #64Loan Interest DecompositionVerified
  12. SOA Exam FM Sample Question #67Staged Loan PaymentsVerified
  13. SOA Exam FM Sample Question #69Loan ReamortizationVerified
  14. SOA Exam FM Sample Question #87Drop PaymentVerified
  15. SOA Exam FM Sample Question #88Interest Portion ProgressionVerified
  16. SOA Exam FM Sample Question #89Mortgage with Extra PaymentsVerified
  17. SOA Exam FM Sample Question #90Rounded Loan PaymentsVerified
  18. SOA Exam FM Sample Question #92Loan Rate from Principal PortionsVerified
  19. SOA Exam FM Sample Question #125Loan AmortizationVerified
  20. SOA Exam FM Sample Question #126Loan AmortizationVerified
  21. SOA Exam FM Sample Question #127Loan AmortizationVerified
  22. SOA Exam FM Sample Question #128Loan AmortizationVerified
  23. SOA Exam FM Sample Question #129Loan AmortizationVerified
  24. SOA Exam FM Sample Question #130Loan AmortizationVerified
  25. SOA Exam FM Sample Question #131Loan AmortizationVerified
  26. SOA Exam FM Sample Question #132Loan AmortizationVerified
  27. SOA Exam FM Sample Question #133Loan AmortizationVerified
  28. SOA Exam FM Sample Question #134Loan AmortizationVerified
  29. SOA Exam FM Sample Question #161Loan AmortizationVerified
  30. SOA Exam FM Sample Question #162Loan AmortizationVerified
  31. SOA Exam FM Sample Question #168Loan AmortizationVerified
  32. SOA Exam FM Sample Question #176Loan AmortizationVerified
  33. SOA Exam FM Sample Question #177Loan AmortizationVerified
  34. SOA Exam FM Sample Question #187Loan AmortizationVerified
  35. SOA Exam FM Sample Question #190Loan AmortizationVerified
  36. SOA Exam FM Sample Question #191Loan AmortizationVerified
  37. SOA Exam FM Sample Question #203Loan Balances Between Payment DatesVerified
  38. SOA Exam FM Sample Question #210Reinvestment of Loan PaymentsVerified
  39. SOA Exam FM Sample Question #212Retrospective Loan BalancesVerified
  40. SOA Exam FM Sample Question #218Loan RefinancingVerified
  41. SOA Exam FM Sample Question #232Loan Balances and AmortizationVerified
  42. SOA Exam FM Sample Question #243Loan Balances and AmortizationVerified
  43. SOA Exam FM Sample Question #246Loan Balances and AmortizationVerified
  44. SOA Exam FM Sample Question #250Loan Balances and AmortizationVerified
  45. SOA Exam FM Sample Question #251Loan Balances and AmortizationVerified
  46. SOA Exam FM Sample Question #255Loan Balances and AmortizationVerified
  47. SOA Exam FM Sample Question #256Loan Balances and AmortizationVerified
  48. SOA Exam FM Sample Question #267Loan Balances and AmortizationVerified
  49. SOA Exam FM Sample Question #272Loan Balances and AmortizationVerified
  50. SOA Exam FM Sample Question #279Loan Balances and AmortizationVerified
  51. SOA Exam FM Sample Question #282Loan Balances and AmortizationVerified
  52. SOA Exam FM Sample Question #287Loan Balances and AmortizationVerified
  53. SOA Exam FM Sample Question #288Loan Balances and AmortizationVerified
  54. SOA Exam FM Sample Question #289Loan Balances and AmortizationVerified
  55. SOA Exam FM Sample Question #296Loan Balances and AmortizationVerified
  56. SOA Exam FM Sample Question #300Loan Balances and AmortizationVerified
  57. SOA Exam FM Sample Question #305Loan Balances and AmortizationVerified
  58. SOA Exam FM Sample Question #314Loan Balances and AmortizationVerified
  59. SOA Exam FM Sample Question #323Geometrically Increasing Loan PaymentsVerified
  60. SOA Exam FM Sample Question #329Principal and Interest in a Growing PaymentVerified
  61. SOA Exam FM Sample Question #337Final Balloon PaymentVerified
  62. SOA Exam FM Sample Question #343Interest-Only Loan with Dedicated Zero-Coupon AssetsVerified
  63. SOA Exam FM Sample Question #351Loan Sale Proceeds for a Target Lender YieldVerified
  64. SOA Exam FM Sample Question #364Unit-Payment Loan Amortization IdentitiesVerified
  65. SOA Exam FM Sample Question #368Interest Forgone after Loan ForgivenessVerified
  66. SOA Exam FM Sample Question #369Interest Portion after RefinancingVerified
  67. SOA Exam FM Sample Question #370Loan AmortizationVerified
  68. SOA Exam FM Sample Question #373Loan AmortizationVerified
  69. SOA Exam FM Sample Question #374Loan AmortizationVerified
  70. SOA Exam FM Sample Question #377Loan AmortizationVerified
  71. SOA Exam FM Sample Question #380Loan AmortizationVerified
  72. SOA Exam FM Sample Question #388Loan AmortizationVerified
  73. SOA Exam FM Sample Question #400Loan AmortizationVerified
  74. SOA Exam FM Sample Question #401Loan AmortizationVerified
  75. SOA Exam FM Sample Question #405Loan AmortizationVerified
  76. SOA Exam FM Sample Question #407Loan AmortizationVerified
  77. SOA Exam FM Sample Question #413Loan AmortizationVerified
  78. SOA Exam FM Sample Question #415Loan AmortizationVerified
  79. SOA Exam FM Sample Question #422Monthly Loan EquationsVerified
  80. SOA Exam FM Sample Question #433Prospective Loan BalancesVerified
  81. SOA Exam FM Sample Question #439Loan RefinancingVerified
  82. SOA Exam FM Sample Question #462Retrospective Loan BalanceVerified

Drill one method at a time

Techniques that keep appearing in Loans

Each guide collects the questions above that turn on the same method, with the formulas and the errors that cost marks.

Study the whole topic offline

Every Exam FM sample question in one searchable PDF

The 82 pages above stay free. The manual collects the complete Exam FM sample set in syllabus order, with the same working, the wrong-choice notes, and one new practice problem per question.